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2 years ago

7

Write y=-3/4 x-2 in standard form using integers.

1 answer:

jeyben [28]2 years ago

8 0

Standard form is Ax + By = C

y = (-3/4)x - 2

Multiply both sides by 4.

4y = -3x - 8

Add 3x on both sides

3x + 4y = -8

Your final answer is 3x + 4y = -8.

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Ainat [17]

Answer:

I just know the formula for slope is y2-y1/x2-x1

Step-by-step explanation:

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3 years ago

Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15

RUDIKE [14]

Answer:

The vertex of this parabola, $(-2, 3)$ , can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

$g(x) = a\, (x - h)^2 + k$ ,

where $a$ , $h$ , and $k$ are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at $(h,\, k)$ .

The vertex form can be expanded to obtain:

$\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}$ .

Compare that expression with the given equation of this parabola. The constant term, the coefficient for $x$ , and the coefficient for $x^2$ should all match accordingly. That is:

$\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right.$ .

The first equation implies that $a$ is equal to $3$ . Hence, replace the " $a\!$ " in the second equation with $3\!$ to eliminate $\! a$ :

$(-2\times 3)\, h = 12$ .

$h = -2$ .

Similarly, replace the " $a$ " and the " $h$ " in the third equation with $3$ and $(-2)$ , respectively:

$3 \times (-2)^2 + k = 15$ .

$k = 3$ .

Therefore, $g(x) = 3\, x^2 + 12\, x + 15$ would be equivalent to $g(x) = 3\, (x - (-2))^2 + 3$ . The vertex of this parabola would thus be:

$\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}$ .

8 0

3 years ago

after spending 80% of her daily allowance, Ola found out she had 25k left. How much was her total allowance?

Anestetic [448]

Answer:

31.25 k

Step-by-step explanation:

80 % * x = 25 k

.80 x = 25 k

x = 25 k / .80 = 31.25 k

8 0

1 year ago

Um gato come 5 ratos por dia. Quantos ratos 5 gatos comem em 5dias?

hram777 [196]

Answer:

1 gato come 5 ratos em 1 dia X 5 = 5 gatos come 25 ratos por dia

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5 0

2 years ago

Write your answer as an integer or as a decimal rounded to the nearest tenth

Savatey [412]

9514 1404 393

Answer:

8.7

Step-by-step explanation:

We have the side adjacent to the angle and we want the hypotenuse. The relevant trig relation is ...

Cos = Adjacent/Hypotenuse

Solving for the hypotenuse, we find ...

VW = XW/cos(36°) = 7/0.80901

VW ≈ 8.7

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3 years ago