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adell [148]
3 years ago
15

Number six please and thanks sm

Mathematics
1 answer:
Luda [366]3 years ago
8 0
I believe the answer is C
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I’m confused on this
dexar [7]

\huge\boxed{x=25}

The mistake is in Step 1. The solver should have also squared 9 when squaring the other side of the equation.

<h3>Correctly solving</h3>

\begin{aligned}\sqrt{3x+6}&=9\\(\sqrt{3x+6})^2&=9^2\\3x+6&=81\\3x+6-6&=81-6\\3x&=75\\\frac{3x}{3}&=\frac{75}{3}\\x&=25\end{aligned}

4 0
1 year ago
Read 2 more answers
Find y. A. √22 B. 8 C. √42 D. 4
Elina [12.6K]

Answer:

\Large \boxed{\mathrm{D. \ 4}}

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions to solve the problem.

tan θ = opp/adj

tan 30 = y/(4√3)

y = 4√3 tan 30

y = 4

7 0
2 years ago
Using the geometric mean and Pythagorean theorem, calculate the values of the missing sides. Round your answers to the thousandt
Pachacha [2.7K]

Answer:

a = 9.849

b = 20.25

c = 491.03

Step-by-step explanation:

By using Pythagoras theorem in the right triangle BDC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

BC² = BD² + DC²

a² = 9² + 4²

a = \sqrt{(81+16)}

a = \sqrt{97}

a = 9.8489

a ≈ 9.849 units

By mean proportional theorem,

\frac{\text{DC}}{\text{BD}}=\frac{\text{BD}}{\text{AD}}

AD × DC = BD²

b × 4 = 9²

b = \frac{81}{4}

b = 20.25 units

BY Pythagoras theorem in ΔADB,

AB² = AD² + BD²

c² = b² + 9²

c² = (20.25)² + 9²

c² = 410.0625 + 81

c = 491.0625

c = 491. 063 units

6 0
3 years ago
The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at
ArbitrLikvidat [17]
12 boys. 7 * 3 is 21. 21 girls. 4*3 is 12. 12 boys 21 girls
4 0
3 years ago
Is x = 3 1/4 a solution to the equation 12 5/8 = x +9 1/4
navik [9.2K]

x=3 1/4 is not a solution to the equation.

12 5/8=x+9 1/4 Subtract 9 1/4 from each side 3 3/8=x, but 3 1/4=3 2/8

4 0
3 years ago
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