Answer:
We conclude that only the equation y = 3x-11 is not an equation of the line that passes through the points.
Hence, option B is correct.
Step-by-step explanation:
Given the points
(2, -1)(4, 5)Finding the slope between (2, -1) and (4, 5)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:5\right)[/tex]
[tex]m=\frac{5-\left(-1\right)}{4-2}[/tex]
[tex]m=3[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 3 and the point (2, -1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-2=3\left(x-\left(-1\right)\right)[/tex]
[tex]y-2=3\left(x+1\right)[/tex]
Add 2 to both sides
[tex]y-2+2=3\left(x+1\right)+2[/tex]
[tex]y=3x+5[/tex]
So, y = 3x+5 is one of the equation lines.
We can also check by substituting the values m = 3 and the point (4, 5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
y - 5 = 3(x-4)
So, y - 5 = 3(x-4) is also one of the equation lines.
Now, let say take the point (4, 5) an substitute in y = 3x-11
y = 3x-11
put x = 4 and y = 5
5 = 3(4)-11
5 = 12-11
5 = 1
FALSE!
Hence, the equation y = 3x-11 does not pass through (4, 5). Thus, the equation y = 3x-11 is not an equation of the line that passes through the points.
Now, let say take the point (4, 5) an substitute in y+1 = 3(x-2)
y+1 = 3(x-2)
put x = 4 and y = 5
5+1 = 3(4-2)
6 = 3(2)
6 = 6
TRUE!
Now, let say take the point (2, -1) an substitute in y+1 = 3(x-2)
-1+1 = 3(2-2)
0 = 0
TRUE!
Thus, the equation y+1 = 3(x-2) is an equation of the line that passes through the points.
Now, let say take the point (2, -1) an substitute in y = 3x-7
y = 3x-7
put x = 2 and y = -1
-1 = 3(2) - 7
-1 = 6-7
-1 = -1
TRUE!
Now, let say take the point (4, 5) an substitute in y = 3x-7
y = 3x-7
put x = 4 and y = 5
5 = 3(4)-7
5 = 12-7
5 = 5
TRUE!
Thus, the equation y = 3x-7 is an equation of the line that passes through the points.
Conclusion:
We conclude that only the equation y = 3x-11 is not an equation of the line that passes through the points.
Hence, option B is correct.
Answer:b
Step-by-step explanation:
help me please I'm trying to get this donee
Answer:
The answer is 15.
Step-by-step explanation:
Plug in the numbers for the a and b values individually. For the numerator, 5(6) is the same thing as 5 * 6 = 30. For the denominator, 1/4^2 would equal to 1/16 and when you multiply it by 32, you will get 2.
To clear things up, the fraction should be 30/2 and your answer should be 15 as a result.
Step-by-step explanation:
so...the answer is 15
...........
whats is f (5) = 2x + 17
Answer:
f(5)=27
Step-by-step explanation:
The 5 in the f(5) just means thats what x is equal to, so using that information you can do 2(5)+17=27, so f(5)=27. (Sorry if its short)
Help me if your good with math I’ll give brainliest
Answer:
Step-by-step explanation:
x^3=27
x=sqrt27=3
x=3
Answer:
A) x=3
Step-by-step explanation:
you can type it in the calculator like this: [tex]\sqrt[3]{27} =3[/tex]
Hello will someone please help me with this i really need it!!
Answer:
It was the withdrawal of the Union troops from the South.
Step-by-step explanation:
The South could go back to blatant mistreatment and practically slavery without the oversight of the Northern troops- so all of the progress that was made was for nothing. That was when Reconstruction ended.
27 = -3x - 9 plssss helppp
Answer:
x = 1-2
Step-by-step explanation:
27 = - 3x - 9
36 = -3x
-12 = x
x = -12
Step-by-step explanation:
27+9=-3x
36=-3x
36 divided by -3=x
-12=x
Read again and write T (true ) or F (false
The assessment was last week.
The patient is not on any medication.
The patient should rest and avoid any
physical activity
a Sierching is important to his recovery.
e The doctor asks the patient to come in for
another appointment.
Answer:
t
Step-by-step explanation:
Pleaseeeee someone helpppppp !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
This one is very simple.
The triangle on the left has two equal sides, so the angle on the opposite side of that same triangle is also 52º. That angle is on a 180º line, so the angle right next to it has to be 180º - 52º, so 128º. The other two angles of that triangle are unknown, but still equal because of the sides being the same. So, subtract 128º from 180º to get 52º again, but divide it by two. The angle measurement of x = 26º
Chance's family of 5 has 3 2/5 pizzas left over that they want to eat for dinner tonight. If they share the pizza equally, how much does each family member get?
Answer: 17/25 pizza per each family member.
Line equations from point/slope
Answer:
The answer is
[tex]y = \frac{1}{4} x + 3[/tex]
Step-by-step explanation:
Plug in and solve the equation. We are trying to find the y-intercept:
[tex]y= \frac{1}{4}x + b \\ 2 = \frac{1}{4} ( - 4) + b \\ 2 = - 1 + b \\ \frac{ + 1 = + 1 \: \: \: \: \: \: \: \: }{3 = b} [/tex]
We found the y-intercept, so now we plug it in it's right full spot in the formula.
[tex]y = \frac{1}{4} x + 3[/tex]
Find the degree of the polynomial -m^6-10m^3
Answer:
We conclude that:
The degree of the polynomial is 6.Step-by-step explanation:
Given
Given the polynomial
[tex]-m^6-10m^3[/tex]
To determine
The degree of the polynomial
In order to determine the degree of the polynomial, we need to check the term with the highest of the degree with non-zero coefficients. The degree of an individual term is basically the exponent of the term.
In our case,
The exponents of the terms of this polynomial are, in order, 6, and 3.
Thus, the highest degree (larger exponent) of the term is 6.
Therefore, we conclude that:
The degree of the polynomial is 6.BRAINLIEST!!!! Please say yes or no for number 13 and explain why. +15 points
Answer:
yes (answer in the comments) U^U
Step-by-step explanation:
What two types of formulas can be used to represent a sequence?
Answer:
In this lesson, we'll be learning two new ways to represent arithmetic sequences: recursive formulas and explicit formulas. Formulas give us instructions on how to find any term of a sequence.
Step-by-step explanation:
is -1 a irrational number
Answer: No -1 is not an irrational number.
Step-by-step explanation: The number 1 can be classified as a natural number, a whole number, a perfect square, a perfect cube, an integer. This is only possible because it is a rational number, not irrational.
find the perimeter......
Step-by-step explanation:
We know that perimeter is the sum of all sides
= 2x³ + 6x + 4x³ - 5x + 6x³ + x
= 12x³ + 2x
= 2x ( 6x² + 1)
Hope it will help :)❤
find the coordinates of the orthocenter for XYZ with X(-5,-1) Y(-2,4), Z(3,-1)
9514 1404 393
Answer:
(-2, 2)
Step-by-step explanation:
The orthocenter is the intersection of the altitudes. The altitude lines are not difficult to find here. Each is a line through the vertex that is perpendicular to the opposite side.
Side XZ is horizontal, so the altitude to that side is the vertical line through Y. The x-coordinate of Y is -2, so that altitude has equation ...
x = -2
__
Side YZ has a rise/run of -1/1 = -1, so the altitude to that side will be the line through X with a slope of -1/(-1) = 1. In point-slope form, the equation is ...
y -(-1) +(1)(x -(-5))
y = x +4 . . . . . . . . subtract 1 and simplify
The orthocenter is the point that satisfies both these equations. Using the first equation to substitute for x in the second, we have ...
y = (-2) +4 = 2
The orthocenter is (x, y) = (-2, 2).
guess a number from 1 -10
ill mark u brainliest if u get it right
Answer:
7
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
What is the surface area of the cylinder with height 3 cm and radius 6 cm? Round your to the nearest thousandth.
Answer:
113.097
Step-by-step explanation:
so Basically to find the area of this cylinder have to set up to equation ((2)6pi)3
first you multiply 2 x 6 getting you 12 then multiply it by pi which in mathematical terms is 37.7 multiplied by 3, getting you 113.097
which can be simplified to 113
The surface area of the cylinder with height 3 cm and radius 6 cm is 340 cm².
What is surface area?The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces.
Given that, the cylinder with height 3 cm and radius 6 cm, we need to find its surface area,
SA of a cylinder = 2 π × radius × (height + radius)
= 2 × 3.14 × 6 × (3+6)
= 2 × 3.14 × 6 × 9
= 339.12
≈ 340
Hence, the surface area of the cylinder with height 3 cm and radius 6 cm is 340 cm².
Learn more about surface area, click;
https://brainly.com/question/29298005
#SPJ2
Tell whether the angles are complementary or supplementary. Then find the value of xx.
Answer:
2x+3x+35 =180
5x+25=180
5x =180-25
5x =155
x= 155/5
x= 31
Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. How much money will he have left after he pays back his mother?
Answer:
$12
Step-by-step explanation:
Juan borrowed $10
His mother loaned him $3 more
= $10 + $3
= $13
He sold $25 worth of lemonade in the first week
If the pays his mother then the amount that will be left with him can be calculated as follows
= $25 - $13
= $12
Answer:
$12
Step-by-step explanation:
got it on edge
express 148.502 in standard form
Pls as soon as possible
Answer:
1.48502 × 10²
Step-by-step explanation:
A number expressed in standard form is
a × [tex]10^{n}[/tex] ( 1 ≤ a < 10 and n is an integer )
Given
148.502 ← express as a number between 1 and 10
1.48502
To obtain the original number we require to multiply by 100 , that is 10²
Thus
148.502 = 1.48502 × 10²
Answer:
[tex]1.48502 \times {10}^{2} [/tex]
Step-by-step explanation:
To convert to standard form, move the decimal point until there is one digit to the left of the decimal point.
Since the decimal point moves to the left, the exponent value goes up. If the decimal point moves to the right, the exponent value gpes down.
In this case, since the decimal point moves to the left twice, then the exponent goes up by 2.
Hope this helps!
Can someone help find the solutions
Answer:
x = 3.5
Step-by-step explanation:
Given
[tex]3^{2x-5}[/tex] = 9 , that is
[tex]3^{2x-5}[/tex] = 3²
Since the bases on both sides are equal, both 3 , then equate the exponents
2x - 5 = 2 ( add 5 to both sides )
2x = 7 ( divide both sides by 2 )
x = 3.5
divide 12xy^3z^6 by 4x^5yz^12
a. 3x ^4y^2z^6
b. 3x ^5y^3z^6
c. 3x^5y^3/z^6
d. 3y^2/x^4z^6
Answer:
d
Step-by-step explanation:
because
12xy³z⁶/4x⁵yz¹²=3y²/x⁴z⁶
The division of (12xy³[tex]z^6[/tex])/ (4[tex]x^5[/tex]y[tex]z^{12[/tex]) is 3y²/ [tex]x^4[/tex][tex]z^6[/tex].
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.
Given:
(12xy³[tex]z^6[/tex])/ (4[tex]x^5[/tex]y[tex]z^{12[/tex])
Now, expand for the division
12/4= 3
x / [tex]x^5[/tex] = 1/ [tex]x^4[/tex]
y³ /y = y²
[tex]z^6[/tex] / [tex]z^{12[/tex]= 1/[tex]z^6[/tex]
So, the division is
(12xy³[tex]z^6[/tex])/ (4[tex]x^5[/tex]y[tex]z^{12[/tex])
= 3y²/ [tex]x^4[/tex][tex]z^6[/tex]
Learn more about Polynomial here:
https://brainly.com/question/11536910
#SPJ2
You only have to solve one of them but please explain how to do it because I have many more
Order the numbers from least to greatest 2.379, 2.164,2.538,2.386
Answer:
2.164, 2.379, 2.386, 2.538
Step-by-step explanation:
2.164<2.379<2.386<2.538
Answer:
2.164, 2.379, 2.386, 2.538 (least to greatest)
Step-by-step explanation:
The first number is the same so, all that you have to compare is what is after the decimal.
Hope this helped!! :)
Brainliest?!?!
Stay safe and have a wonderful day/night/afternoon!!!
Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $25 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Choose an expression you could use to determine how much Sophie spent. A. m + 25 B. m + 25 –12 C. 12(m + 25) D. 12m + 25
Answer:
D. 1/2m + 25
Step-by-step explanation:
Sophie pays m dollars to rent a car for the weekend.
On the drive home, she buys $25 worth of gasoline.
From the above question, we are told that:
Her friend Melody pays for one-half the cost of the car rental only.
= m - 1/2m
= 1/2m
Hence, the cost of the rental that sophie is paying for is 1/2m dollars
She buys $25 of gasoline
Let the amount sophie spent be represented by A
The expression you could use to determine how much Sophie spent is given as:
A = 1/2m + 25
Answer:
1/2 + 25
Step-by-step explanation:
Don't feel like explaining. :)
Explain the purpose of statements and reasons in a formal proof.
Answer:
Find the explanation below.
Step-by-step explanation:
Statements simply state the theorem that is to be proofed. Formal proof in logical sequence connects the hypotheses to the conclusion reached.
Statements and reasons are important because they help to breakdown a theorem, showing in steps and stages how a conclusion was reached. They provide facts that convince the observer that the theorem is indeed true.
Can somebody help and explain if you're able to. thank you
Answer:
6.5 or 6 1/2 miles per minute
Step-by-step explanation:
basically divide the amount of minutes by how many miles Jessica ran hence the minutes per mile.
Answer:
Step-by-step explanation: You divide the fractions. Start by making them a fraction instead of a mixed number then cross multiply keep the first flip the second and theres your answer :)
PLEASEEEEEEEEEEEEEEEEEEEEEEE HELP ME!!!!
Can someone help please
9514 1404 393
Answer:
16.4
Step-by-step explanation:
The law of cosines is useful here. It tells you ...
b^2 = a^2 + c^2 -2ac·cos(B)
b^2 = 22^2 +10^2 -2·22·10·cos(44°)
b^2 ≈ 267.49
b ≈ √267.49 ≈ 16.35514
b ≈ 16.4
Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
Answer:
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]
Step-by-step explanation:
We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
The general equation in slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Finding Slope:
Both the equations given are parallel. So, they will be having same slope.
Slope of given equation y= - 2/3x is m = -2/3
This equation is in slope-intercept form, comparing with general equation [tex]y=mx+b[/tex] where m is slope , we get the value of m= -2/3
So, slope of required line is: m = -2/3
Finding y-intercept:
Using slope m = -2/3 and point (-3,5) we can find y-intercept
[tex]y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3[/tex]
So, we get b = 3
Now, the equation of required line having slope m = -2/3 and y-intercept b =3
[tex]y=mx+b\\y=-\frac{2}{3}x+3[/tex]
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]
Answer:
[tex]\displaystyle y = -\frac{2}{3}x + 3[/tex]
Step-by-step explanation:
5 = –⅔[–3] + b
2
[tex]\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3[/tex]
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.
I am joyous to assist you at any time.