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2 years ago

Help please!!!!!!!!! A. (1, -2) B. (1, 2) C. (2, -1) D. Infinite number of solutions

Mathematics

1 answer:

Maru [420]2 years ago

4 0

Answer:

(1, -2) Option A in your list of possible answers

See attached image.

Step-by-step explanation:

We need to graph the lines by using a couple of points on the plane for each equation.

For example:

the points (0, -3) and (3, 0) for the line y = x - 3

and the points (0, 1) and (-1, 4) for the line y = - 3 x + 1

Please see the lines in the attached image, and notice that they intersect at the point (1, -2), which gives you the solution for the system.

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Show work please thank you

ira [324]

1) 12 * 9 = 108 cm² - part 1
2) 12 - 3 - 3 = 6 cm
3) 6 * 4 = 24 cm² - part 2
4) 108 + 24 = 132 cm ² - the area.

3 0

3 years ago

URGET PLEASE HELP QUICKLY

alexdok [17]

Answer: -0.5.

Step-by-step explanation:

The constant of variation k for the direct variation is given by:-

$k= \dfrac{f(x_2)}{x_2}=\dfrac{f(x_1)}{x_1}$

The given table:

x f( x )

0 0

2 -1

4 -2

7 -3.5

Then,

$k=\dfrac{-1}{2}=\dfrac{-2}{4}=\dfrac{7}{-3.5}=-0.5$

Hence, the constant of variation k for the direct variation is -0.5.

4 0

2 years ago

Which of the following functions gives the length of the base edge, a(v), of a right square pyramid that is 8 inches tall as a f

Reil [10]

Answer:

$\large\boxed{a(V)=\sqrt{\dfrac{3V}{8}}}$

Step-by-step explanation:

The formula of a volume of a square pyramid:

$V=\dfrac{1}{3}a^2h$

a - base edge

h - height of a pyramid

We have H = 8in.

Substitute and solve for a:

$\dfrac{1}{3}a^2(8)=V\\\\\dfrac{8}{3}a^2=V\qquad\text{multiply both sides by}\ \dfrac{3}{8}\\\\\dfrac{3\!\!\!\!\diagup^1}{8\!\!\!\!\diagup_1}\cdot\dfrac{8\!\!\!\!\diagup^1}{3\!\!\!\!\diagup_1}a^2=\dfrac{3}{8}V\\\\a^2=\dfrac{3V}{8}\Rightarrow a=\sqrt{\dfrac{3V}{8}}$