The constant of proportionality is represented by what letter? Question 4 options: x y z k

Find the equation of the line. <br> Please need help badly!!

hoa [83]

Answer:

lets consider two end points are the marked points ,

Then ,

(1,5)=x1,y1

(-1,-3)=x2,y2

line passes through point(1,0)=x3,y3

slope of line ,m = (y2-y1)/(x2-x1)

= (-3-5)/(-1-1)

=4

Eqn of line is:

y-y3=m(x-x3)

y-0 = 4(x-1)

y=4x-4

4x-y=4 is reqyuired eqn..

Step-by-step explanation:

Problem may arise due to calculation but plz check it ...

7 0

3 years ago

What shape is the cross section formed by the intersection of a cone and a plane parallel to the base of the cone?

Ksju [112]

<h2>Answer:</h2>

A circle

<h2>Step-by-step explanation:</h2>

The representation of this problem is shown below. The cross-section is the name for a slice that cuts through a solid. If we move around the height of the cone through its volume, we will find that at every point the cross section will be a circle. The radius of that circle will depend on the point we are on. On the base of the cone, the circle will have the same radius of the cone and the radius will be decreasing when moving until we get to the apex.

7 0

3 years ago

Carpet costs $12 per square yard. How much will it cost to carpet a room that is 180 square feet? CLEAR CHECK $19,440 $720 $2,16

Alika [10]

Answer:

Step-by-step explanation:

$12 per square feet

180 square feet

180 x 12=2160.

4 0

4 years ago

Item 15 Question 1 Show that quadrilateral WXYZ with vertices W(−1,6), X(2, 8), Y(1, 0), and Z(−2,−2) is a parallelogram by find

Aliun [14]

Answer:

Multiple answers

Step-by-step explanation:

A parallelogram is a flat shape that has four sides. The two sets of opposite sides are parallel and of equal length to each other.

To prove that our figure is a parallelogram we first get the slope of our sides.

The formule we use to get the slope is:

m = $\frac{y-y1}{x-x1}$

first we have the W-Z side that it's supossed to be parallel to X-Y side

if we use our formule to calculate the slope of W-Z:

$\frac{6-(-2)}{-1-(-2)}$ = $\frac{8}{1}$ = 8

if we use our formule to calculate the slope of X-Y:

$\frac{8-0}{2-1}$ = $\frac{8}{1}$ = 8

We know that parallel lines will never intersect because they have the same slope, therefore W-Z side is parallel to X-Y side

2. Then we have the W-X side that it's supossed to be parallel to Z-Y side

if we use our formule to calculate the slope of W-X:

$\frac{6-8}{-1-2}$ = $\frac{-2}{-3}$

if we use our formule to calculate the slope of Z-Y:

$\frac{-2-0}{-2-1}$ = $\frac{-2}{-3}$

We know that parallel lines will never intersect because they have the same slope, therefore W-X side is parallel to Z-Y side

Then we have to prove that the parallalel sides are equal length to each other.

The formule we use to get the distance between two points is:

$\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }$

We calculate the lenght of the W-Z side that it's supossed to be equal to X-Y side:

W-Z = $\sqrt{(-1-(-2))^{2}+(6-(-2))^{2} }$ = $\sqrt{65}$

X-Y = $\sqrt{(2-1)^{2}+(8-0)^{2} }$ = $\sqrt{65}$

So the W-Z side have the same lenght to X-Y side.

We calculate the lenght of the W-X side that it's supossed to be equal to Z-Y side:

W-X = $\sqrt{(-1-2)^{2}+(6-8)^{2} }$ = $\sqrt{13}$

Z-Y = $\sqrt{(-2-1)^{2}+(-2-0)^{2} }$ = $\sqrt{13}$

So the W-X side have the same lenght to Z-Y side.

6 0

3 years ago

Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used m

Alenkasestr [34]

The first box is "none of these" since it is not a vertical angle, is not an adjacent angles, and is not a linear pair, the second box is vertical angles

3 0

3 years ago

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