A plane intersects this rectangular prism perpendicular to the prism’s base.

1 answer:

4 0

A rectangle, presumably, as the cross section is going to be whatever shape the outward faces are (in the case of a vertical cross section like this one)

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7x² + 6x - 1<br> Algebra 3|factoring

GaryK [48]

Answer:

(7 x - 1) (x + 1)

Step-by-step explanation:

Factor the following:

7 x^2 + 6 x - 1

Factor the quadratic 7 x^2 + 6 x - 1. The coefficient of x^2 is 7 and the constant term is -1. The product of 7 and -1 is -7. The factors of -7 which sum to 6 are -1 and 7. So 7 x^2 + 6 x - 1 = 7 x^2 + 7 x - x - 1 = (7 x - 1) + x (7 x - 1):

(7 x - 1) + x (7 x - 1)

Factor 7 x - 1 from (7 x - 1) + x (7 x - 1):

Answer: (7 x - 1) (x + 1)

5 0

3 years ago

Find the sum and product of the roots. 2x^2 + 6x - 8 = 0

netineya [11]

Suppose you can factorize:

$ax^2+bx+c=a(x-r_1)(x-r_2)$

Then by expanding the right side, you have

$ax^2+bx+c=a(x^2-(r_1+r_2)x+r_1r_2)=ax^2-a(r_1+r_2)x+ar_1r_2$

which means in this case, you have to have

$\begin{cases}6=-2(r_1+r_2)\\-8=2r_1r_2\end{cases}\implies\begin{cases}r_1+r_2=-3\\r_1r_2=-4\end{cases}$

3 0

3 years ago

The table shows weights for different US coins. Allen has one of each coin in his hand.

kozerog [31]

Round each coin weight to the nearest gram first, penny 3g, nickel 5g, dime 2g, quarter 6g, half dollar 11g. Now add those numbers together as he has one of each coin 3+5+2+6+11=27 grams

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3 years ago

A square has an area of square inch what is <img src="https://tex.z-dn.net/?f=18x%5E%7B2%7D" id="TexFormula1" title="18x^{2}" al

natima [27]

Answer:

18x

Step-by-step explanation:

18x times 18x

so the side is 18x because it was squared

4 0

2 years ago

Need help please :) I’m not sure how to solve this one either

Andrews [41]

The answer is

580|21

6 0

9 months ago

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