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Mumz [18]
3 years ago
14

I need help with substitution​

Mathematics
2 answers:
Lelechka [254]3 years ago
7 0
When I did the work I got the same answer (-7,-15)
Neporo4naja [7]3 years ago
6 0

Answer:

(-7,-15)

Step-by-step explanation:

We can substitute first y in the second y. Both equations are also functions. We can merge the equations.

2x - 1 = x - 8  \\ 2x - x =  - 8 + 1 \\ x =  - 7

Substitute x = -7 in any given equations. I will choose the second equation to substitute in.

y = x - 8 \\ y =  - 7 - 8 \\ y =  - 15

<u>Answer</u><u> </u><u>Check</u>

Substitute both x and y in both equations.

- 15 = 2( - 7) - 1 \\  - 15 =  - 14 - 1 \\  - 15 =  - 15

The equation is true for (-7,-15).

- 15 =  - 7 - 8 \\  - 15 =  - 15

The second equation is true for (-7,-15).

Therefore our answer is (-7,-15)

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Answer:

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3 years ago
Find the surface area of the prism.
anygoal [31]

Answer:

220 I'm pretty sure because 6×5 is 30 times 2 is 60. Then do 6×10 equals 60. Then do 5 times 10 times 2 to get 100. Then you add it all up to get 220

3 0
4 years ago
Read 2 more answers
Hurry and respond with how you got it!
Sergeeva-Olga [200]

a = 6.2

Solution:

Given ABC is triangle.

AC = b = 8, BA = c = 11, ∠A = 32.2°

BC = a

To find the length of a:

Law of cosines:

a^{2}=b^{2}+c^{2}-2 b c \cdot \cos A

a^{2}=8^2+11^{2}-2 \times 8 \times 11 \cdot \cos 32.2^\circ

a^{2}=64+121-174 \cdot \cos 32.2^\circ

a^{2}=185-174 (0.8461)

a^{2}=185-147.221

a^{2}=37.779

Taking square root on both sides of the equation.

a = 6.1464

a = 6.2

The length of BC is 6.2.

5 0
3 years ago
What is the simplified form of the expression the quantity x squared minus 4x minus 21 end quantity divided by 4 times the quant
ExtremeBDS [4]

The simplified form of the given expression \frac{x^2-4x-21}{4(x+3)} is \frac{x-7}{4}.

<h3>How to simplify a fractional expression?</h3>

The steps to simplify a fractional expression are:

  • Factorize the expressions both in the numerator and the denominator using different methods
  • Remove the common terms in the numerator and denominator
  • Thus, the simplified expression will be obtained.

<h3>Calculation:</h3>

The given expression is \frac{x^2-4x-21}{4(x+3)}

Factorizing the numerator:

x² - 4x - 21 = x² - 7x + 3x - 21

                 = x(x - 7) + 3(x - 7)

                 = (x - 7)(x + 3)

Then,

\frac{x^2-4x-21}{4(x+3)} = \frac{(x-7)(x+3)}{4(x+3)}

common factor (x + 3) is canceled out from both the numerator and the denominator

So,

\frac{x^2-4x-21}{4(x+3)} = \frac{x-7}{4}

Therefore, the simplified expression is \frac{x-7}{4}.

Learn more about simplifying an expression here:

brainly.com/question/13742517

#SPJ1

8 0
2 years ago
He copper in copper tubing has a volume of 98 cm^3 and a mass of 872.2 g.
lara31 [8.8K]

Answer:

Step-by-step explanation:

The density of an object is given by the mass divided by the volume

Density: 872.2/98

= 8.90 grams/cm^3 (rounded to 3 significant figures)

4 0
3 years ago
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