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2 years ago

Write the equation of a line in slope-intercept form that is contains a slope of -0.32 and

Mathematics

1 answer:

iren2701 [21]2 years ago

8 0

Answer:

y = -0.32x + 4.75

Step-by-step explanation:

Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. (For example: y = 2x + 1)

Since you have the slope, or m, is -0.32 and the y-intercept, or b, is 4.75, you can plug those into the equation to get y = -0.32x + 4.75

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2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de

Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let $(x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)$

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

⇒ $d=\sqrt{(2-5)^2+(4-3)^2}$

⇒ $d=\sqrt{9+1}$

⇒ $d=\sqrt{10}$ ....(1)

Now, we find the length of M'K'

let $(x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)$

$d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}$

⇒ $d^{'}=\sqrt{(-2+5)^2+(3-4)^2}$

⇒ $d^{'}=\sqrt{9+1}$

⇒ $d^{'}=\sqrt{10}$ .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct

3 0

3 years ago

Read 2 more answers

Can I have help :< Im stuck and confused

NeTakaya

Answer:

2 one 0 0 this one

0 0

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Are words even real is anything we as humans taught real in life is it lies please answer with your own thoughts

den301095 [7]

Technically, everything we know was made up by our own minds. We thought of it all. We decided that the color of the sky would be called "blue" and not "doorknob". Education is a continuous cycle that never stops progressing.

6 0

3 years ago

Read 2 more answers

Suppose that y varies directly with x<br> and y = 10 when x = 20. What is y<br> when x = 15?

tresset_1 [31]

Answer: y = 7.5

Step-by-step explanation:

Suppose that y varies directly with x

That is, y∝x

Convert y∝x to a full equation by introducing a constant k to the right hand side.

Therefore, y = kx

Given that y = 10 and x = 20

Substitute y and x in the equation above. We have;

10 = k(20)

10 = 20k

20k = 10

k = 10/20

k = 0.5

Since k = 0.5, the equation y = kx becomes y = 0.5x

Now, to find y if x = 15, substitute x in equation y = 0.5x

Therefore, y = 0.5(15)

y = 7.5

5 0

3 years ago

Write a linear inequality to represent the information given. Shanley would like to give $5 gift cards and $7 teddy bears as par

ozzi

Answer:

154 is less than or equal to 5x+7y

Step-by-step explanation:

x = number of gift cards and y= number of teddy bears

8 0

2 years ago