Use long division to find (8x-10x+10) divided by (2x-1)

During a special sale, all video games cost $26 and movies cost $14. Derrick plans to spend some or all of his $220 in birthday

Mrac [35]

The equation would be:
$26v + 14m \leqslant 220$
V represents video game
M represents movies
Derrick plans to spend some or all which means he can use less than that amount or the whole amount

Hope this helps.

5 0

3 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

Use the distributive property to write an expression that is equivalent to 1/2 (8y + (-x) + 12)

melomori [17]

Algebra

$\frac{1}{2} (8y - x + 12) = a$

Divide everything by two, or times everything by 1/2.

$4y - \frac{1}{2} x + 6 = a$

This is as far as you could go due to no like-terms.

3 0

3 years ago

18=b/3+3 what's the solution

madam [21]

b= 63 and that is your answer

5 0

3 years ago

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Find an equation of the line, in point-slope form, that passes through (-2,3) with a slope of -4

Nostrana [21]

Step-by-step explanation:

let the eqn be y - y1 = m (x - x1)

sub (-2, 3) and m = -4:

y - (-2) = -4 (x - (-2))

y + 2 = -4 (x + 2)

Topic: Coordinate Geometry

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

5 0

3 years ago

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