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LenaWriter [7]
3 years ago
13

Explain the steps used to solve x - 2 = v(x + 10) and check for extraneous solutions.

Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0
---------------------------------------------------
Question
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x - 2 = √<span>(x + 10) 

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Square both sides
</span>---------------------------------------------------
(x - 2)² = (√(x + 10))²
(x - 2)² = (x + 10)   ← square and square root would will net off each other

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Remove brackets
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x² - 4x + 2² = x + 10
x² - 4x + 4 = x + 10

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minus x + 10 on both sides
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x² - 4x + 4 - x - 10 = 0
x² - 5x - 6 = 0

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Factorise the left side
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(x - 6)(x + 1) = 0

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Apply zero product property 
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x -6 = 0  or  x +1 = 0

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Solve x
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x = 6 or x = -1

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Answer: x = 6 or x = -1
---------------------------------------------------
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In △ABC, m∠A=19°, a=13, and b=14. Find c to the nearest tenth.
34kurt
We know that
Applying the law of sines

step 1
Find the value of angle B
a=13
b=14
A=19°
so

 \frac{a}{sin A} = \frac{b}{sin B} \\ a*sin B=b*sin A \\ sin B= \frac{b}{a}*sin A \\ sin B= \frac{14}{13} *sin 19 \\ sin B=0.3506 \\ B=arc sin(0.3506) \\ B=20.5°

step 2
with angle A and angle B find the angle C
A+B+C=180-----> solve for C
C=180-(A+B)------> C=180-(19+20.5)-----> C=140.5°

step 3
\frac{a}{sin A} = \frac{c}{sin C} \\ a*sin C=c*sin A \\ c=a* \frac{sin C}{sin A}  \\ c=13* \frac{sin 140.5}{sin 19}  \\ c=25.4

the answer is
the value of c is 25.4



3 0
3 years ago
Linda has $10, Rick has &amp;12, they both put there money together to buy a pizza that cost $14, they buy it, then someone give
prohojiy [21]
First you add 10 and 12 dollars to get 22 dollars then subtract the 14 dollars of the pizza to get 7 dollars left. Then add the other 18 given to them and your final answer adds up to 25 dollars in all. :)
6 0
3 years ago
Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.
Solnce55 [7]
On the first day of school last year, Cody was 148.5 cm tall.
7 0
3 years ago
Multiply express the product in simplest form 7/4 times 12
guajiro [1.7K]

Answer:

21

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help x 15 points
katovenus [111]
A(0,-1)
B(3√3/3, 2)

Slope of AB = (y₂ - y₁)/(x₂-x₁)
Slope = (2-1)/(√3/3 , -0)

Slope = 1/√3/3 = 1/√3 = √3/3

OR SLOPE = tan(a°) = √3/3 and a° = 30°

3 0
3 years ago
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