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stealth61 [152]
3 years ago
7

Solve the system of linear equations using elimination. −2x − y = 3 −9x − y = 17

Mathematics
2 answers:
Gnom [1K]3 years ago
4 0

Answer: x=20/7 y=17

Step-by-step explanation:

1) Don't need to solve for y since y is already solved.

2) Solve for x:

-2x-17=-9x+3

-2x-17+9x=-9x+3+9x (Add 9x to both sides)

7x-17=3

7x-17+17=3+17 (Add 17 to both sides)

7x=20( Divide both sides by 7)

x=20/7, y=17

Nat2105 [25]3 years ago
4 0

Answer:

x=20/7 y=17

Step-by-step explanation:

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Pleas answer it now in two minutes
soldier1979 [14.2K]

Answer:

the length measure of OP is 35 yd

Step-by-step explanation:

The problem says that the two shapes are congruent. This means they have the same length and angle measurements. So, in order to find out what OP is, you have to find its corresponding part which is WX. The measurement of WX is 35 yd which means that the measurement of OP is also 35 yd because they are corresponding side lengths therefore being the same.

6 0
3 years ago
The base of a rectangle prism is 20 cm. If the height of the prism is 5 cm what is it volume
goldenfox [79]

Answer:

Answer : 100^3

Step-by-step explanation:

formula to find volume of prism =

v = base area * height

v = 20 * 5

v = 100

so , volume is 100^3

7 0
3 years ago
What is the answer to 3+p=8
astraxan [27]
3 + p = 8

Subtract 3 on both sides

3 + p - 3 = 8 - 3

Simplify both sides

p = 5

\boxed{\huge{\sf{p=5}}}
4 0
2 years ago
Read 2 more answers
Simplify and verify the results for
KatRina [158]

Answer:

21440

Step-by-step explanation:

<h2>Simplify:</h2>
  • (7x³ + 8x² - 3)(x² - 5)

Start by multiplying 7x³ by x² and -5.

  • 7x⁵ - 35x³ + (8x² - 3)(x² - 5)    

Multiply 8x² by x² and -5.

  • 7x⁵ - 35x³ + 8x⁴ - 40x² + (-3)(x² - 5)

Multiply -3 by x² and -5.

  • 7x⁵ - 35x³ + 8x⁴ - 40x² -3x² + 15

Combine like terms together.

  • 7x⁵ - 35x³ + 8x⁴ - 43x² + 15

Rearrange the terms in descending power order.

  • 7x⁵ + 8x⁴ - 35x³ - 43x² + 15  
<h2>Verify (I): </h2>

Substitute x = 5 into the above polynomial.

  • 7(5)⁵ + 8(5)⁴ - 35(5)³ - 43(5)² + 15

Evaluate the exponents first.

  • 7(3125) + 8(625) - 35(125) - 43(25) + 15

Multiply the terms together.

  • 21875 + 5000 - 4375 - 1075 + 15

Combine the terms together.

  • 21440

This is the answer when substituting x = 5 into the simplified expression.

<h2>Verify (II):</h2>

Substitute x = 5 into the expression.

  • [7(5)³ + 8(5)² - 3][(5)² - 5]

Evaluate the exponents first.

  • [7(125) + 8(25) - 3][(25) - 5]

Multiply the terms in the first bracket next.

  • [875 + 200 - 3][25 - 5]

Evaluate the expressions inside the brackets.

  • [1072][20]

Multiply these two terms together.

  • 21440

This is the answer when substituting x = 5 into the original (unsimplified) expression.

3 0
3 years ago
If f(x-3)=x^2-4x+5, what's f(1-x)​
olganol [36]

Answer:

\large\boxed{f(1-x)=x^2-4x+5}

Step-by-step explanation:

f(x-3)=x^2-4x+5\\\\f((x-3)+3)\to\text{put x + 3 to the equation of the function:}\\\\f(x-3+3)=(x+3)^2-4(x+3)+5\\\text{use the distributive property and}\ (a+b)^2=a^2+2ab+b^2\\f(x)=x^2+2(x)(3)+3^2+(-4)(x)+(-4)(3)+5\\f(x)=x^2+6x+9-4x-12+5\qquad\text{combine like terms}\\f(x)=x^2+(6x-4x)+(9-12+5)\\f(x)=x^2+2x+2\\\\f(1-x)\to\text{put 1 - x to the equation of the funtion f(x):}\\\\f(1-x)=(1-x)^2+2(1-x)+2\\\text{use the distributive property and}\ (a-b)^2=a^2-2ab+b^2

f(1-x)=1^2-2(1)(x)+x^2+(2)(1)+(2)(-x)+2\\f(1-x)=1-2x+x^2+2-2x+2\qquad\text{combine like terms}\\f(1-x)=x^2+(-2x-2x)+(1+2+2)\\f(1-x)=x^2-4x+5

4 0
3 years ago
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