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DochEvi [55]
3 years ago
11

Please help me with my math

Mathematics
2 answers:
zubka84 [21]3 years ago
8 0
ANSWER:
C

Explanation:
lianna [129]3 years ago
3 0
C is the correct answer
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Carolyn was asked to solve the following system of equations. Her work is shown. What is the solution to the system of linear eq
Natalka [10]

Answer:

(11, 13)

Step-by-step explanation:

Carolyn's work is incorrect. Below is the correct solution:

Given:

3x - 2y = 7 ----› Equation 1

y = x + 2 -----› Equation 2

Substitute y = (x + 2) in equation 1

3x - 2y = 7 ----› Equation 1

3x - 2(x + 2) = 7 (substitution)

3x - 2(x) -2(+2) = 7 (distributive property)

[Note: this is where Carolyn made a mistake]

3x - 2x - 4 = 7

Collect like terms

x - 4 = 7

x = 7 + 4 (addition property of equality).

x = 11

Substitute x = 11 in equation 2

y = x + 2 -----› Equation 2

y = 11 + 2 (substitution)

y = 13

✅The solution to the system of equations would be:

(11, 13)

8 0
3 years ago
What is the sum of the arithmetic series: s10 = -20, d = 4, a1 =? ​
Otrada [13]
<h2>Step-by-step explanation:</h2><h3>\green\star Given</h3>

\blue\stars10 = -20

\blue\starn = 10

\blue\star an = -20

\green\star solution

\green\stars10 = n\2 [a+(n-1)d]

\green\star-20 = 10a2[a+(10-1)4]

\green\star-4 = a +36

\green\stara1 = -40

\small\boxed{a = -40}

Hope it helps.

Hope it helps

8 0
3 years ago
Read 2 more answers
Find the cosine of angle B.
Alexandra [31]

\boxed { \text {Cosine Rule : } a^2 = b^2 + c^2 - 2bc \cos(A) }

-

9² = 12² + 15² - 2 (12) (15) cos (B)

81 = 144 + 225 - 360 cos(B)

81 = 369 - 360 cos (B)

360 cos (B) = 369 - 81

360 cos (B) = 288

cos (B) = 0.8

-

Answer: Cosine B = 0.8

-

\boxed { \text {Cosine Rule : } a^2 = b^2 + c^2 - 2bc \cos(A) }

-

12² = 15² + 9² - 2 (15)(9) cos (A)

144 = 225 + 81 - 270 Cos A

144 = 306 - 270 Cos A

270 Cos A = 162

Cos A = 3/5 or 0.6

-

Answer: Cosine Angle A = 3/5

4 0
3 years ago
HELP<br> If you don’t know it then please don’t answer.
vovangra [49]

the answer is 4.8. Your welcome

3 0
3 years ago
What is 29÷4 can you plz explain how to do it
tino4ka555 [31]
29 divided by 4 equals 7.25
6 0
3 years ago
Read 2 more answers
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