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AnnZ [28]
2 years ago
5

I need help with this question

Mathematics
1 answer:
Pepsi [2]2 years ago
4 0

We can isolate y in the linear equation to get:

y = 4x - 8

<h3>How to isolate the variable?</h3>

Here we have the linear equation:

8x - 2y = 16

Now, remember that we can perform the same operation in both sides of the equation, and the equation don't changes.

To isolate y, we can start by subtracting 8x in both sides, so we get:

-2y = 16 - 8x

Now we should divide both sides by -2:

y = (16 - 8x)/(-2) = -8 + 4x

y = 4x - 8

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volum
Mazyrski [523]

Question:

Karina has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The cylindrical base is 15 inches tall with a diameter of 22 inches.

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).

Answer:

Section = 4847.3205\ in^3

Step-by-step explanation:

Given

h = 15in -- height

d = 22in -- diameter

Required

85% of the volume

First, calculate the radius

r = \frac{1}{2} * d

r = \frac{1}{2} * 22= 11in

The volume (V) is then calculated using:

V = \pi r^2h

V = 3.142* 11^2 * 15

V = 5702.73\ in^3

85% of the volume is:

Section = 85\% * V

Section = 85\% *  5702.73\ in^3

Section = 4847.3205\ in^3

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The current of a river is 4 miles per hour. A boat travels to a point 30 miles upstream and back in 4 hours. What is the speed o
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16 mph is the answer I found after doing the work

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3 years ago
Complete the equations to prove that vertical angles always have equal measure. In terms of b and a numberin degrees, \purple c=
Mila [183]
Idk know im sorry somwhere between 1 1 2

7 0
3 years ago
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The graph of f(x)=3•2^x -3 is shown below. G(x) is a transformation of f(x). How would you write the equation for the function g
Bezzdna [24]

Answer:

C

Step-by-step explanation:

To find the appropriate equation, notice the red graph has shifted up about 6 units. This means that 3*2^x-3 which is shifted by -3 will move 6 up. -3+6= 3. This means the function will have +3. Only B and C are options. Now test a point. Notice the red function crosses the y-axis at about 5 or 6 when x=0.

g(x) = 2^x+3\\g(0) = 2^0+3\\g(0)=1+3\\g(0)=4

This function doesn't match.

f(0) = 3*2^0+3\\f(0) = 3*1+3\\f(0)=6

This function matches. Option C is correct.

3 0
3 years ago
If tan ⁡x=12/5, and 0°
Charra [1.4K]

The value of sin(2x) is \frac{120}{169}

Explanation:

Given that tan x =\frac{12}{5}

The formula for sin(2x) is \sin (2 x)=2 \sin x \cos x

Since, \tan x=\frac{o p p}{a d j}

Also, it is given that tan x =\frac{12}{5}

Thus, opp=12 and adj=5

To find the hypotenuse, let us use the pythagoras theorem,

\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}

Now, we can find the value of sin x and cos x.

\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}

\cos x=\frac{a d j}{h y p}=\frac{5}{13}

Now, substituting these values in the formula for sin 2x, we get,

\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}

Thus, the value of sin(2x) is \frac{120}{169}

8 0
3 years ago
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