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Scrat [10]
4 years ago
11

How do you solve by elimination/linear combination. a. 3x+4y=17 5x-4y=7

Mathematics
1 answer:
r-ruslan [8.4K]4 years ago
5 0
8x = 24
x = 3

3 (3) + 4y = 17
9 + 4y = 17
4y = 8
y = 2
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How would the sum of cubes formula be used to factor x3y3 + 343? Explain the process. Do not write the factorization.
Svetllana [295]

Answer:

Given : Expression -x^3y^3+343

To find : How would the sum of cubes formula be used to factor given expression? Explain the process. Do not write the factorization.

Solution :

The formula of sum of cubes is,

a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)

First we convert the given expression in a^3+b^3

x^3y^3+343

Apply exponent rule : a^mb^m=(ab)^m

x^3y^3=(xy)^3

Rewrite 343=7^3

Therefore, x^3y^3+343  could be written as =\left(xy\right)^3+7^3

On comparison with the formula,

a=xy , b=7

\left(xy\right)^3+7^3=(xy+7)(xy^2-xy(7)+7^2)

\left(xy\right)^3+7^3=(xy+7)((xy)^2-7xy+49)            

5 0
3 years ago
Read 2 more answers
Find the length of EG:<br> G<br> C<br> E<br> B.
Lerok [7]

Answer:

16

Step-by-step explanation:

6 0
3 years ago
Find the midpoint of the segment with the following endpoints. (7,−2) and (1,−10)
Zinaida [17]

Answer:

The answer is

<h2>(4 \:  , \:  - 6)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M  = ( \frac{x1 + x2}{2} ,  \:  \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(7,−2) and (1,−10)

The midpoint is

<h3>M = ( \frac{7 + 1}{2}   ,  \:  \frac{ - 2 - 10}{2} ) \\  = ( \frac{8}{2} , \:  -  \frac{12}{2} )</h3>

We have the final answer as

<h3>(4 \:  , \:  - 6)</h3>

Hope this helps you

3 0
3 years ago
A consumer survey conducted in two consecutive years found that a fixed basket of goods and services cost $36.00 in year 1 and $
docker41 [41]

Answer:

0.021/yr or 2.1%/yr

Step-by-step explanation:

Find the quotient:

$36.75/$36.00

This comes out to 1.021,

so the inflation rate is 1.021 - 1.000 = 0.021  or  2.1%/year

7 0
3 years ago
Q(h)=-8h^2-5h , find q(-10)
Sergio [31]

Answer:

-750

Step-by-step explanation:

Q(h)=-8h^2-5h ,

Let x = -10

q(-10) = -8 (-10)^2 -5(-10)

          =-8 *100 +50

            =-800+50

            = -750

3 0
3 years ago
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