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xenn [34]
3 years ago
9

How to complete this

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
8 0

Answer:

4x^{6}y^{7}

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} = a^{(m+n)}

12x^{5} × y^{3} × \frac{1}{2}x x \frac{2}{3}y^{4}

= 12 × \frac{1}{2} × \frac{2}{3} × x^{(5+1)} × y^{(3+4)}

= 4x^{6}y^{7}


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What is the value of x in the equation 2(x+3)=4(x-1)
Nina [5.8K]
Firstly, expand the equation.
2(x + 3) = 4(x - 1) \\ 2x + 6 = 4x - 4

Next, move the variable x to the left and all the constant to the right.
2x + 6 = 4x - 4 \\ 2x - 4x =  - 4 - 6 \\  - 2x =  - 10

Then, solve for x.
- 2x =  - 10 \\ x =  \frac{ - 10}{ - 2}  \\ x = 5
5 0
3 years ago
a triangle with a perimeter of 36 inches is dilated with a scale factor of 2. what will be the perimeter of the image
sweet [91]

Answer:

18

Step-by-step explanation:

36/4=9  9/2=4.5  4.5+4.5+4.5+4.5=18

7 0
3 years ago
What is the area of a circle is the radius is 8
Shalnov [3]
When the radius is 8, the area would be 201.06

Area of circle = pi x radius² (pi x 8²)
8 0
3 years ago
Read 2 more answers
Using the provided measures determine the measure of angle K.
forsale [732]

Answer:

B. 34.90°

Step-by-step explanation:

✔️First, find GF using Trigonometric function:

Reference angle = 58°

Adjacent length = GF

Hypotenuse = 6 cm

Apply CAH, thus:

Cos 58 = Adj/Hyp

Cos 58 = GF/6

GF = 6*Cos 58

GF = 3.17951558 ≈ 3.18 cm

✔️Find angle K using the Sine Rule:

\frac{sin(K)}{GF} = \frac{sin(G)}{KF}

Substitute

\frac{sin(K)}{3.18} = \frac{sin(64)}{5}

Multiply both sides by 3.18

sin(K) = \frac{sin(64)}{5}*3.18

sin(K) = 0.5716

K = sin^{-1}(0.5716)

K = 34.8618741° ≈ 34.90°

5 0
2 years ago
This is the longest side of a right triangle. It is also the side directly across from the 90-degree angle of a right triangle.
muminat

Answer:

hypotenuse

Step-by-step explanation:

the other sides are known as legs

7 0
3 years ago
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