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3 years ago

6

The square prism has a base length of 2 ft. Which describes the cross section of the prism that iS perpendicular to the

1 answer:

Anon25 [30]3 years ago

7 0

Answer:

A-a rectangle with two 12-ft sides and two 2-ft sides

Step-by-step explanation:

Got it right on edge

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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

Help!! 30 points!!

erica [24]

Answer:

a. 47.6mph (distance divided by time = speed. divide each rowers distance by their speed, then add them all)

b. 1.26 minutes per mile (i used a calculator so i dunno how to explain)

let me know if this is right or not :)

6 0

3 years ago

Help anyone plzzzzzzzzz

MArishka [77]

Answer:

2.8 x+8.7

Step-by-step explanation:

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3 years ago

Read 2 more answers

3) Asanji's school is selling tickets to the annual dance competition. On the first day of ticket sales the

frutty [35]

Answer:

C) senior citizen ticket 10$, child ticket 11$

Step-by-step explanation:

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3 years ago

What is the slope of the line passing through the following points (-2,5) & (1,-7)?

igor_vitrenko [27]

Answer:

-12/3

Step-by-step explanation:

The formula to get slope is m=y1-y2 and x1-x2

REMEMBER SLOPE IS Y/X NOT X/Y

7 0

2 years ago