Answers
Answer:
D. y = -6x + 12
Step-by-step explanation:
(2, 0), (0, 12)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 12 - 0 12
m = ------------ = ------------ = ------- = -6
x₂ - x₁ 0 - 2 -2
y - y₁ = m(x - x₁)
y - o = -6(x - 2)
y = -6x + 12
I hope this helps!
Related Questions
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (7,5) and (-1,9).
Answers
Check the picture below.
keeping in mind that perpendicular lines have negative reciprocal slopes, and that we also know that the line is a perpendicular bisector, namely it cuts that segment into two equal halves as you can see in the picture, so it really passes through the midpoint of that segment, so let's get the slope of that green segment
[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{7}}} \implies \cfrac{4}{-8}\implies -\cfrac{1}{2}[/tex]
so for the perpendicular bisector that'd be
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-1}\implies 2}}[/tex]
now let's check for the midpoint of the green segment
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{7}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{9}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -1 +7}{2}~~~ ,~~~ \cfrac{ 9 +5}{2} \right) \implies \left(\cfrac{ 6 }{2}~~~ ,~~~ \cfrac{ 14 }{2} \right)\implies (3~~,~~7)[/tex]
so we're really looking for the equation of a line whose slope is 2 and that it passes through (3 , 7)
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ 2}(x-\stackrel{x_1}{3}) \\\\\\ y-7=2x-6\implies {\LARGE \begin{array}{llll} y=2x+1 \end{array}}[/tex]
Ebony is cutting dough for pastries in her bakery. She needs all the pieces to be congruent triangles and has ensured that segment EF ≅ segment ON and ∠MON ≅ ∠GEF. What would Ebony need to compare in order to make sure the triangles are congruent by ASA?
segment EG and segment OM
∠EFG and ∠ONM
segment NM and segment FG
∠EGF and ∠OMNEbony is cutting dough for pastries in her bakery. She needs all the pieces to be congruent triangles and has ensured that segment EF ≅ segment ON and ∠MON ≅ ∠GEF. What would Ebony need to compare in order to make sure the triangles are congruent by ASA?
segment EG and segment OM
∠EFG and ∠ONM
segment NM and segment FG
∠EGF and ∠OMN
Answers
Answer:
NM=FG
Step-by-step explanation:
Answer:
Segment EG and segment OM
Step-by-step explanation:
Comparing the lengths of segment EG and segment OM satisfies the side-side correspondence required for AAS congruence.
You want to buy a sofa that has already been marked down by $ 100 . The furniture store may add the 5% sales tax before applying the additional discount, or it may add the sales tax after applying the additional discount. Which way is better for you, the customer? How much better?
Answers
The better way for the customer to buy a sofa is to apply the Sale Tax after the discount.
Let us assume that the marked price of a sofa is $1000.
Now we will first take the sale tax and then the discount on the marked price.
Sale = 1000 × 5/100
= 50
So the price after the sale = 1000 + 50
= 1050
As the discount is $100
Therefore total is to be paid is
1050- 100
i.e., $950
Now we will calculate discount first then the sale tax.
As marked price is $1000 and discount is $100
So price after discount = $1000- $100
= $900
Now we will apply the sale tax on the discount price which is 5%
Sale price = 900 × 5/100
=45
Total price to be paid = 900 + 45
= $945
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Diana and Joby wrote the following proofs to prove that vertical angles are congruent. Who is correct? Please explain why as well to get Brainly.
O Diana is correct, but Joby is not.
O Both Diana and Joby are correct.
O Neither Diana nor Joby is correct.
O Joby is correct, but Diana is not.
Answers
The proof that is correct about vertical angles being congruent is; Joby's proof
How to prove that vertical angles are congruent?Vertical angles are defined as the angles formed when two lines meet each other at a point. They are always equal to each other and as such they are congruent.
Now, from the given image, we see that four angles are formed which are; ∠1, ∠2, ∠3, ∠4
Now, according to vertical angle theorem, we can say that;
∠2 = ∠4 and ∠1 = ∠3
Thus, we can conclude that vertical angles are congruent by the vertical angle theorem
Thus, we conclude that Joby's proof is correct.
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Solve this math problem
Answers
Answer:
X = 32
Step-by-step explanation:
X/4 = 8
To solve for x, multiply each side by 4
X/4*4 = 8*4
X = 32
Every weekend, Sue bikes to the park to play disc golf with her friends. Before leaving home, she fills her water bottle to the top. This weekend, Sue drinks of a liter on the way to the 1 2 park. Now there is only of a liter remaining in Sue's water bottle. 4 Use an equation to find the amount of water that Sue's water bottle holds. To write a fraction, use a slash (/) to separate the numerator and denominator. liters
Answers
The equation is [tex]\frac{1}{2}x + \frac{1}{2}x[/tex]
Let the amounts of water that Sue's water bottle holds = x
According to the question,
given that,
Sue's water bottle holds the water = [tex]\frac{1}{2}x + \frac{1}{2}x[/tex] = [tex]\frac{2}{2}x[/tex] = x
Thus, assumption is true
Hence, the equation is [tex]\frac{1}{2}x + \frac{1}{2}x[/tex]
In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign. The most basic and simple algebraic equations consist of one or more variables in math.
Different Types of Equations:
Some of the math equations used in algebra are:
Linear Equation
A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
Quadratic Equation
This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.
Example:
[tex]a x^{2}[/tex] + b x + c = 0
Cubic Equation
This is a third-order equation. In cubic equations, at least one of the variables should be raised to exponent 3.
Example:
[tex]a x^{3}[/tex] + [tex]b x^{2}[/tex]+ cx + d = 0
[tex]a^{3}[/tex] – 27 = 0
Rational Equation
A rational equation is an equation that contains fractions with a variable in the numerator, denominator, or both.
Example:
[tex]\frac{x}{2}[/tex] = [tex]\frac{x + c}{4}[/tex]
How to prove an equation
One way to prove that an equation is true is to start with one side (say, the left-hand side) and to convert it, by a sequence of equality-preserving transformations, into the other side. But remember that a proof must be easy to check, so each step deserves a justification. We keep the steps elementary, based on known facts of algebra. Also, a proof should always start with a statement of the claim that is being proved.
.
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what is the name of a line drawn across two parallel lines?
Answers
Answer:transversal
Step-by-step explanation:
Robbie Morse has a $47,500 insurance policy. The annual premium is $987.53. Robbie pays $90.00 monthly.
Calculate the following. (Use a thousands comma where applicable.)
In twelve months, Robbie pays $___
Robbie pays $___ more monthly than he would annually.
To the nearest percent, Robbie pays ___% more by paying monthly than he would paying annually.
Answers
Answer: Robbie pay in twelve months $1080 .
$92.47 more Robbie pay and 9.36 %(Approx) Robbie pay.
Step-by-step explanation:
As given
Robbie Morse has a $47,500 insurance policy.
The annual premium is $987.53.
Robbie pays $90.00 monthly.
First find out the Robbie pay in twelve months .
Robbie pay in twelve months = 12 × 90
= $ 1080
Second find out how much more does Robbie pay .
Robbie pay extra = Robbie pay in twelve months - annual premium
= $ 1080 - $987.53
= $92.47
Therefore the $92.47 more Robbie pay .
Third find out the what percentage does Robbie pay .
Formula
Robbies pay more = $92.47
Annual premium = $987.53
Put in the above
Percentage = 9.36 % (Approx)
9.36 %(Approx) Robbie pay.
Question
What value of x makes the equation x+5=2x true?
Answers
Answer:
5
Step-by-step explanation:
5+5=2(5)
10=10
Find the coordinate of point X such that the ratio of MX to XJ is 1:1
Answers
The coordinates of the midpoint are:
x = (A + C) / 2
y = (B + D) / 2
Where (A, B) and (C, D) are the coordinates of the points M and J.
What is the midpoint of a line?The midpoint is the middle point of a line segment and it is equidistant from both endpoints.
We have,
M_______X_______J
MX : XJ = 1 : 1
The formula for finding the coordinates of the midpoint is:
x = (a + c ) / 2
y = ( b + d ) / 2
(x, y) = coordinates of the midpoint.
Where (a, b) and (c, d) are the coordinates of the two endpoints.
We can consider,
M = (A, B)
J = (C, D)
X = (x, y)
Thus the coordinates of the midpoint X are:
x = (A + C) / 2
y = (B + D) / 2
Where (A, B) and (C, D) are the coordinates of the points M and J.
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Joseph works in the soft-drink booth at every school baseball game. He earns ⅓ of the total soft drinks sales at each game. At Friday’s game,the total soft drink sales were $79.26. At Saturday’s game, the total soft drink sales were $95.70.How much did Joseph earn by working at the soft ball booth on Friday and Saturday?
Answers
Answer:
$58.32
Step-by-step explanation:
x = 1/3(79.26 + 95.70)
x = 1/3(147.96) Divide 147.96 by 3
x = 58.32
is this number rational or irrational
Answers
Answer: rational
explain
pi is irrational.
hope this helps.
Find the perimeter of the figure below, in centimeters.
Answers
Perimeter of a shape means adding the length of all the sides. Therefore, given the shape above;
15cm+8.4cm+23.4+18.5cm+15cm+8.4cm+31.8cm+10.1cm+8.cm+8.4cm= 151.9cm
MP Persevere with Problems Explain how
you can write 25 % as a decimal.
Answers
25% in the decimal number system is 0.25.
What are decimal numbers?The base-10 number system, arguably the most widely used number system, is referred to as decimal. The ten single-digit numbers in the decimal number system are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number following nine is 10. 19 is followed by 20, and so on.Decimal fractions and recurring (repeating or non-terminating, like) decimals are the three different types of decimals (a.k.a. converting a decimal into a fraction whose denominator is a power of ten).So, we need to divide the number by 100 and we want to convert a number in percentage into decimals.
Then,
25/100 = 0.25Therefore, 25% in decimals is 0.25.
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b) Estimate the value of √97.5 + 1.96
Answers
The correct answer is 11.834.
Decimal Fraction Math refers to the mathematical expression of a fraction or mixed number where the denominator is a power of 10, such as 10, 100, or 1000, etc. Mathematical operations can be performed on fractions more easily when they are expressed in decimal form.
From 0 to 9, single-digit numerals are read exactly as they are written. However, when two numerals are involved, the left digit implies 10 times what the right digit indicates. In the number 24, that is, 4 is 4 and 2 is 20. Together, they make 24.
The rightmost digit of a three-digit number has the same meaning as the middle one, which is ten times the digit, and the leftmost digit, which is 100 times the digit.
√97.5 + 1.96
= 9.874 + 1.96
= 9874/1000 + 1960/1000
= 11834/1000
= 11.834
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Write a potential exponential function (y= ab^x) that has a y-intercept of (0,3) and passes through the point (2,48)
Please solve and explain so that I can try and do it on my own too, thank you
Answers
A potential exponential function (y = abˣ) that has a y-intercept of (0, 3) and passes through the point (2, 48) is equal to y = 3·4ˣ
What is an exponential function?An exponential function can be defined as a mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function can be represented by this standard formula:
y = abˣ
Next, we would solve for the value of "a" using y-intercept (0, 3):
y = abˣ
3 = ab⁰
3 = a(1)
a = 3.
Also, we would determine the value of "b" from point (2, 48):
y = abˣ
48 = 3b²
16 = b²
b = √16
b = 4.
Substituting the parameters into the standard formula, we have;
y = 3·4ˣ
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Graph the coordinates of the triangle in the coordinate plane. Multiply each coordinate by a scale factor of 3 (k=3). Then, graph the new triangle. How are the triangles related?
Answers
The two triangles are similar triangles and the graph of the triangles are attached
Graph the coordinates of the triangle in the coordinate plane.The complete question is added as an attachment
The coordinates of the triangle are given as
A (0, 3), B (3, 3) and C (3, -1)
So, we enter the above coordinates in a graphing calculator
See attachment for the graph of the triangle
Multiply each coordinate by a scale factor of 3 (k=3).
Here, we have
A' 3 * (0, 3), B' 3 * (3, 3) and C' 3 * (3, -1)
This gives
A' (0, 9), B' (9, 9) and C' (9, -3)
Next, we enter the above coordinates in a graphing calculator
See attachment for the graph of the triangle
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What is the best description of the relationship in the scatterplot below?
A) Positive linear association
B) Negative linear association
C) Nonlinear association
D) No association
Answers
WILL GIVE U BRAINLIEST NEED HELP PLEASE
Answers
2n+9=7n-18
9+18=7n-2n
27=5n
n=27/5
1. 20 pens cost 300 and 50 pens cost 750
a. is the cost of pens directly proportional to the number of pens
b. calculate the cost of buying 80 pens
ii.) calculate the number of pens if the cost is 1335
Answers
Because , 20x(x represent money$ for 1 pen)
20*15=300
50*15=750
B)
20 pens =300$
So,
300/20= 15$
1 pen = 15$
On the other hand,
50 pens= 750
So,
750/50=15$
1 pen= 15$
So,80 pen ,
80x
80*15=1200$
ii) x pens= 1335
So we know 15$ for one pen!
15 pens=1335
Pens= 1335/15
89 = pens
Create a division problem, we’re both the divisor in division are decimals. Call Sean must be a whole number greater than one.
Answers
The divisions problem are:
3234 ÷ 19.611945 ÷ 0.054068 ÷ 0.37424 ÷ 0.824629 ÷ 0.1117.9056 ÷ 1.9What are decimals?A decimal is a number that consists of a whole and a fractional part.
Given:
we have the condition as divisor in division are decimals
So, we know in division we have main two parts: Dividend and Divisor.
we have to take the divisor as decimals.
So let us take the example
4068 / 0.03
So, for solving it we can proceed as
4068 * 100 /3
= 1356 * 100
=135600
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There are 8 players on a tennis team. The team is planning to play in a doubles tournament. How many different groups of players of 2 players can the coach make, if the position does not matter?
Answers
Answer:
I think the answer is 4 not sure though
Answer:
28 is the answer!
I got it right, look at the pic!!
ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 10 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!
Answers
The value of y when we make y the subject of the formula in 5x - 5y = 40 will be B. y = -3x - 8
How to illustrate the information?It should be noted that an equation is simply used to show the relationship that exists between the variables that are given.
In this situation, the equation given s
is illustrated as:
-15x - 5y = 40
Divide through by -5
-3x - y = 8
Then make y the subject of the formula
y = -3x - 8
Therefore, value of y when we make y the subject of the formula in 5x - 5y = 40 will be y = -3x - 8.
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What is the base if the portion is $4,560 and the rate is 65%? Solve for the base (in $). Round to hundredths when necessary.
Answers
The base of the $4,560 which is 65% of the base is $7,015.38.
What is percentage?This represented by the symbol %, is the division of any number by 100. The expression 25%, for example, means that 25 parts of a whole were divided into 100 parts.
The portion of 65% means that the amount given as $4,560 is only a part of the whole amount known as base, which is unknown as the base, in other words, the base amount can be determined the portion divided by the percentage of the portion:
65%=$4560
1%=$4560/65
1%=$70.1538461538462
100%=$70.1538461538462*100
100%=$ 7,015.38
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Complete the identities.
1+cot²θ=
Answers
Answer:
[tex]\csc ^2(\theta)[/tex]
Step-by-step explanation:
Using Pythagorean identity,
[tex]\mathrm{1+\cot ^2(x)=\csc ^2(x)}\\\mathrm{=\csc ^2(\theta)}[/tex]
Answer:
1 + cot² θ = sec² θ
Step-by-step explanation:
1 + cot²θ =
I know this identity to be true:
sin² θ + cos² θ = 1
Divide both sides by sin² θ.
sin² θ / sin² θ + cos² θ / sin² θ = 1 / sin² θ
1 + cot² θ = sec² θ
Expand each logarithm.
log 4 √47/5²
Answers
The value of logarithmic expression log 4 √47/5² is log (47/25)^1/4.
By considering the given logarithmic expression
log 4 √47/5²
log 4 √47/25
log (47/25)^1/4
The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which a fixed number, base b, must be raised in order to produce a given number x, is represented by the logarithm of that number.
Based on the logarithm base, the logarithmic functions are broadly divided into two types. There are common and natural logarithms. Common logarithms are based on the number 10, while natural logarithms are based on the base "e." The power to which a number must be raised in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents).
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1537x242 multiply by multi digit
Answers
Find the ratio of 5 hours to 25 minutes.
Answers
Answer:
1:12
Step-by-step explanation:
You have to convert both value to the same measurement, so you gonna find how many minutes is in 5 hours which is (300 minutes) then you put 25/300 then cancel out
How do I solve these types of questions? Any hints or help will be appreciated
Answers
Step-by-step explanation:
ATTACHED ARE THE SOLUTIONS !!!!
Step-by-step explanation:
a)=
y = 70 + 41 (exterior angle is equal to sum of its opposite interior angles)
so, y = 111°
Now,
y = x + 58° ((exterior angle is equal to sum of its opposite interior angles)
or. 111° - 58° = x
so, x = 53°
b)=
x = 180° - 127° (linear pair of x is corresponding to 127)
so, x = 53°
Now,
y = 83° (y is vertically opposite to angle that is corresponding to 83)
c)= x = 47° (alternate angles)
y = 47 + 32 (exterior angle is equal to sum of its opposite interior angles)
so, y = 79°
d)= other angle = 180-45-45 = 90
Using the formula:-
sinA/a = sinB/b = sinC/c
or, sin45/3 = sin45/y
or, 1/√2/3 = 1/√2/y
or, y = 3
Now,
sinC/c = sinA/a
or, sin90/x sin45/3
or, 1/x = 1/√2/3
or, 1/x = 1/3√2
so, x = 3/√2
Find the greatest integer that is less than the value of the logarithm. Use your calculator to check your answers.
log (1.3x10⁷)
Answers
The greatest integer that is less than the value of the logarithm log(1.3 x 10⁷) is 7.
The given logarithmic expression is log(1.3 x 10⁷)
Use the product rule of the logarithm logₐ(X.Y) = logₐ(X) + logₐ(Y), to get
log(1.3 x 10⁷)
= log(1.3) + log(10⁷)
= log(1.3) + 7 log(10) (Using the power rule of the logarithm logₐ(Xⁿ) = n logₐ(X))
= log(1.3) + 7 (Since log(10) = 1)
≈ 7.113 (approximate value)
We know that, log(1) = 0 and log(10) =1. And the logarithm is an increasing function.
So, log(1.3) is very close to 0 and strictly less than 1.
Therefore, the greatest integer that is less than the value of the logarithm log(1.3 x 10⁷) is 7.
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