The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
The slope-intercept form of the equation of line it's y = mx + b, where m is the slope and b is the y-intercept of the line.
1. Write the equation of the line that is parallel to y = 2x + 4 and passes through the point (-4, -1).
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 2x + 4 ⇒ m₁ = 2 ⇒ m₂ = 2
(-4, -1) ⇒ x₁ = -4, y₁ = -1
point-slope form:
y - (-1) = 2(x - (-4))
y + 1 = 2(x + 4)
y + 1 = 2x + 8 {subtact 1 from both sides}
y = 2x + 7 ← slope-intercept form2. Write the equation of the line that is parallel to y = ⅓x - 3 and passes through the point (3, -1).
y = ⅓x - 3 ⇒ m₁ = ⅓ ⇒ m₂ = ⅓
(3, -1) ⇒ x₁ = 3, y₁ = -1
point-slope form:
y - (-1) = ⅓(x - 3)
y + 1 = ⅓x - 1 {subtact 1 from both sides}
y = ⅓x - 2 ← slope-intercept form
3. Write the equation of the line that is perpendicular to y = ¾x - 1 and passes through the point (3, -3).
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = ¾x - 1 ⇒ m₁ = ¾
¾×m₂ = -1 ⇒ m₂ = -⁴/₃
(3, -3) ⇒ x₁ = 3, y₁ = -3
point-slope form:
y - (-3) = -⁴/₃(x - 3)
y + 3 = -⁴/₃x + 4 {subtact 3 from both sides}
y = -⁴/₃x + 1 ← slope-intercept form
4. Write the equation of the line that is perpendicular to y = -x - 5 and passes through the point (7, 3).
y = - x - 5 ⇒ m₁ = -1
-1×m₂ = -1 ⇒ m₂ = 1
(7, 3) ⇒ x₁ = 7, y₁ = 3
point-slope form:
y - 3 = -1(x - 7)
y - 3 = - x + 7 {add 3 to both sides}
y = - x + 10 ← slope-intercept formask me abt anything even though i might not have the answer
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okay hmmm. whats your sexuality , Dont answer if you dont want!! me: bi
Answer:
why ................ btw thats my question
Work out the length AC.
Answer:
[tex]\sqrt{ 105}[/tex]
Step-by-step explanation:
→ Utilise Pythagoras theorem
[tex]\sqrt{11^{2} -4^{2} } =\sqrt{121-16} =\sqrt{105}[/tex]
Pls need help fast ._.
Answer:
65.75% change
Step-by-step explanation:
Equation for percent change
(|x2-x1| / x1) * 100%
48 million / 73 million * 100% = 65.75% decrease
the area of four walls of a room=2h(l+b).find the area of four walls in square.m
X squared + 3X -27/4 = 0
Answer:
Applying the quadratic formula.
Exact Form:
x=32,−92
Decimal Form:
x=1.5,−4.5
Mixed Number Form:
x=112,−412
Step-by-step explanation:
Solve the equation: x2 + 3x -27/4 = 0 With the coefficients: a = 1, b = 3, c = -6.75 a ≠ 0 With ∆ = 36> 0 => Equation has 2 distinct solutions
x1 = 1.5, x2 = -4.5
Help please?????????????
Answer:
D.) 3x - 3
Step-by-step explanation:
X - 4 + 2x + 1
= X + 2x - 4 + 1
= 3x - 4 + 1
= 3x - 3
I hope this helps!
If a large sized pizza of diameter 35 cm is kept on a rectangular base of dimensions 50 cm x 60 cm. Find the area of the base excluding the pizza.
Answer:
2037.89
Step-by-step explanation:
The area of a circle is πr²
This means that the area of the pizza is π*17.5^2
This means that the area =962.11275016187
We then need to find the area of a rectangle which is shown throuhg lenght*width
50*60=3000
We then need to find out the area of the box excluding the pizza so we subtract the area of a pizza
so we have
3000-962.11275016187=2,037.88724983813
Round and get 2037.89
Which expressions are equivalent to x/3x times 8x/3x? Select all that apply?
a. 8x^2/9x^2
b. 8x^2/3x
c. 8x/3, for x not equal to 0
d. 8/9, for x not equal to 0
e. 9x^2/9x^2
f. 1, for x not equal to 0
Answer:
A, D
Step-by-step explanation:
x/3x times 8x/3x is equivalent to x(8x)/[(3x)(3x)] i.e. 8x^2/9x^2 or 8/9.
A is correct obviously.
B is not correct since the coefficients and degrees are different.
C is not correct since the coefficients and degrees are different.
D is correct.
E is obviously wrong by comparing the coefficients.
F is also wrong since 8/9 is not equal to 1.
So the correct answers are A and D.
The expressions equivalent to (x/3x) * (8x/3x) is 8/9 and 8x² / 9x²
An equation is an expression that is used to show the relationship between two or more variables and numbers.
Given the equation:
(x/3x) * (8x/3x)
Multiplying the numerator and denominator:
= (x * 8x)/(3x * 3x)
= 8x² / 9x²
Further simplifying the equation:
= 8/9
The expressions equivalent to (x/3x) * (8x/3x) is 8/9 and 8x² / 9x²
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What is the measure of CAE?
135"
A. 80°
B. 25°
C. 55°
D. 40°
Answer:
The answer is 40.
Step-by-step explanation:
I just got it correct.
evaluate 1/6t + 5/18 when t = 1/3
1/6(__)+5/18=_/_+5/18
Answer:
[tex] \frac{1}{6} t + \frac{5}{18} \\ (\frac{1}{6} \times \frac{1}{3} ) + \frac{5}{18} \\ \frac{1}{18} + \frac{5}{18} = \frac{(1 + 5)}{18} \\ \frac{6}{18} = \frac{1}{3} [/tex]
1/3 is the right value of the given equation.Which of the following is logically equivalent to “I wear a jacket if it is cold outside." ?
If I wear a jacket, then it is cold outside.
If I do not wear a jacket, then it is not cold outside.
I wear a jacket if and only if it is cold outside.
If it is not cold outside, then I do not wear a jacket.
The option from the following that is logically equivalent to the statement is that: If it is not cold outside, then I do not wear a jacket.
What is Logical equivalence?Two statements are regarded to be logically equivalent if, and only if, their resultant forms are logically equivalent during the time at which identical statement variables are utilized to illustrate their component statements.
Similarly; two statement forms are noted to be logically equivalent if, and only if, their resultant truth tables show an identical form per variation of statement variables.Therefore, we can conclude that the correct option that is logically equivalent to the statement being made is that: If it is not cold outside, then I do not wear a jacket.
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Name 2 decimals whose difference is 0.4
Answer:
0.1 and 0.5
Step-by-step explanation:
Answer:
.8-.4=.4 and .12-.8=.4
Step-by-step explanation:
Find the measure of each numbered angle.
Answer:
Angle 1 is 105 as Z rule
Angle 2 is 75 per the angles of the straight line
Angle 3 is 90, and in turn as angles around a point, so is 4
I may be wrong...angles arent my strength, but I think its pretty accurate
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have no more than $275
to spend on parking and admission. Parking is $5, and tickets cost $27 per person,
including tax. Write and solve an inequality which can be used to determine 2, the
number of people who can go to the amusement park.
Answer:
10 persons
Step-by-step explanation:
Step one:
given data
We are told that they have a total of $275
also, they want to spend $5 on packing space
and a ticket cost $27 per person.
Step two:
let the number of persons be x
and let the total amount to be spent be y
hence the inequality is
y≤ 5+ 27x
now for y= $275, let us find x
Substitute into the inequality we have
275≤5+27x
275-5≤27x
270≤27x
Divide both sides by 27
x ≤ 270/27
x ≤ 10
Hence the number of persons should not be more than 10
Answer:
Inequality: 25x+10_<275
Answer: x_<10.6
Step-by-step explanation:
I have delta math also. This is the exact ANSWER! So i am too lazy to explain it but actually that is correct. I tried to put a screenshot in here but it wont let me for some reason? BUT THIS IS THE ANSWER!
Your welcome (○｀ 3′○)
Which slope represents the greatest rate of change?
1) m = -8
2) m = 4
3) m = -10
4) m = 8
Emmy makes $11.50 an hour and get a 3% raise. Answer the following question . How much is her raise ? How much money is Emmy making an hour after her raise ?
Answer:
How much is her raise?
Her raise is at 0.345$
Hourly pay after raise?
Her new pay rate is 11.845$/h
Step-by-step explanation:
New hourly pay:
[tex]11.50 \times 1.03 = 11.845[/tex]
Actual raise:
[tex]11.845 - 11.50 = 0.345[/tex]
grade 8 unit rate pls add explanation
Franklin needs 2.75 cups of flour for every 1.5 cups of sugar in his cookie recipe. This will yield 3.5 dozen cookies. What is the unit rate for sugar per cookie? Round your answer to the tenths place.
Answer:
Is it .04
Step-by-step explanation:
How do u write 25% as a fraction or mixed number?
Answer:
fraction- 1/4
PLANTS Of the water lilies in the pond, 43% are yellow. The others are white. A frog randomly jumps onto a lily. Describe the complement of the frog landing on a yellow lily and find its probability.
Answer:
The probability of the frog landing on a complement of yellow lily is 0.57
Step-by-step explanation:
PLANTS Of the water lilies in the pond, 43% are yellow. The others are white.
The complement is [tex]1-p[/tex].
It is given that 43% of plants are lilies it means the probability of a frog randomly jumps onto a lily is: [tex]p=0.43[/tex]
Now the complement is:
[tex]1-p=1-0.43[/tex]
[tex]1-p=0.57[/tex]
Hence, the probability of the frog landing on a complement of yellow lily is 0.57
Help please! im lost i cant figure this out!
Answer:
c 3/4, 0.8, 94%
Step-by-step explanation:
I would convert all of these to decimals first so its not as confusing
a). 0.54, 0.70, 0.40 not in order
b). 0.67, 0.50, 0.80 not in order
c). 0.75, 0.80, 0.94 in order
d). 0.70, 0.54, 0.67 not in order
For a fundraiser, a group plans to sell granola bars and bottles of water at the same prices as described in Part A. The group wants the income from the fundraiser to be at least $150. Choose the inequality to show the number of granola bars x and the number of bottles of water y that must be sold.
Incomplete question. The missing part read;
Ten granola bars and twelve bottles of water cost $23. Five granola bars and four bottles of water cost $10.
Options:
A. 1.4x + 0.75y > 150
B. 1.4x + 0.75y ≥ 150
C. 1.4x + 0.75 < 150
D. 1.4x + 0.75 ≤ 150
Answer:
B. 1.4x + 0.75y ≥ 150
Step-by-step explanation:
Remember, from the question we are told that the group wants the income from the fundraiser to be at least $150, meaning, they are not against having an income above $150 from the fundraiser, but a minimum of at least that amount.
Hence, among all the listed options, the correct inequality sign to represent the number of granola bars 'x' and the number of bottles of water 'y' that must be sold is the ≥ (equal to or greater than sign).
please help me please
Answer:
decreasing, linear
Step-by-step explanation:
you could find the first differences and then the secon ddifferences, but when it's allowed to use Desmos, why not, lol, so, looking at the 4 points plotted on Desmos, it is decreasing, and linear
Answer:
Decreasing; Linear
Step-by-step explanation:
This is a linear line for a fact.
And the line is decreasing. I used desmos to graph these points.
You can see for yourself, in the image I provided
85) A6-foot man casts an 8-foot shadow. How tall is a tree that casts a
20-foot shadow?
Answer:
15 foot
Step-by-step explanation:
6 foot = 8 foot shadow
3 foot= 4 foot shadow
15 foot=20 foot shadow
please give me brainliest!!!
Mr. Erwin is putting a new patio in his backyard the patio will measure 16 ft by 11 ft. He is planning to put a brick border around the patio. how many feet of brick will he have for the border
HELP ME PLEASE I NEED THIS LAST ONE PLEASE
Karim wants to buy a shirt that normally sells for $46.50. It is on sale for 3 off. How much does Karim need to pay to
buy the shirt on sale?
$15.50
$22.50
$31.00
$41.50
Answer:
The answer is 41.50 i just took it
Step-by-step explanation:
i just took it
which of the following pair of triangles can be proven congruent through SSS
Answer:
C
Step-by-step explanation:
For A, only two sides are congruent, while the third is not
For B, You have two sides and an angle, which is SAS, not SSS
3 2/5 as an improper fraction
Answer:
17/5
Step-by-step explanation:
Multiply 3 with the denominator 5.
3 * 5 = 15
Then add the product to the numerator
15 + 2 = 17
Keep the 5 as the denominator.
So the final answer is 17/5
The mixed fraction [tex]3\frac{2}{5}[/tex] as improper fraction is 17/5.
To convert the mixed number [tex]3\frac{2}{5}[/tex] to an improper fraction, we need to combine the whole number part with the fractional part.
The whole number 3 can be written as a fraction with the same denominator as the fractional part (5):
3 = 3/1
Now, add the fractional part 2/5 to the whole number 3/1:
3 + 2/5
To add fractions, we need a common denominator.
In this case, the common denominator is 5.
Now, rewrite 3 as a fraction with the common denominator 5:
3 = (3 × 5)/5
= 15/5
Now, add the fractions together:
15/5 + 2/5 = 17/5
So, the mixed number [tex]3\frac{2}{5}[/tex] as an improper fraction is 17/5.
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On a treasure map the actual distance is derectly velated to the scaled distance if 15 miles is represented by 3 centimetres thenvhhow many centimeters to 135 miles
Answer:
27 Centimeters
Step-by-step explanation:
Calculation for how many centimeters on the
treasure map is equivalent to 135 miles
Number of Centimeters to 135 miles=[135 miles/(15 miles÷3 centimetres)]
Number of Centimeters to 135 miles=135 miles/5
Number of Centimeters to 135 miles=27 Centimeters
Therefore the numbers of centimeters on the
treasure map that is equivalent to 135 miles is
27 Centimeters
3. What is the proportional relationship represented by this table?
In a table of a proportional relationship, there is always some number that you can multiply by the number in the first column to get the number in the second column for any row. This number is called the constant of proportionality. In the fruit juice example, the constant of proportionality is 0.4.
Y= Two thirds x minus 3
what is the positive number that is 7 times its rightmost digit?
Answer:
A 7-digit number is read as millions or ten-lakhs.
10 ones make a ten, 10 tens make a hundred, 10 hundreds make a thousand, 10 thousands make a ten-thousand, 10 ten-thousands make a hundred-thousand and 10 hundred-thousands make a million.
Step-by-step explanation:
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