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frozen [14]
2 years ago
10

Find the point(s) of intersection between the quadratic function y = x + 4x + 4 and the linear function y = 2x+4.​

Mathematics
1 answer:
Andrews [41]2 years ago
4 0

Answer:

(0, 4)

Step-by-step explanation:

To find the intersection of two lines, we want to find the value when they equal each other. To do this, we want to set the equations equal to each other.

First, let's simplify y = x + 4x + 4 by combining the x's.

y = 5x + 4

Now let's set the equations equal to each other. Since they both equal y, we can set the opposite sides equal to each other.

5x + 4 = 2x + 4

Now you want to combine the terms.

[subtract 4] 5x = 2x

[subtract 2x] 3x = 0

Now you want to isolate the x.

[divide by 3] x = 0

Now we want to find y by plugging x = 0 back into the equations.

y = 5(0) + 4

[multiply] y = 0 + 4

[add] y = 4

Check this with the other equation.

y = 2(0) + 4

[multiply] y = 0 + 4

[add] y = 4

Your answer is correct!

(0, 4)

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Answer:

45

Step-by-step explanation:

x - 7 = 38

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x = 45

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3 years ago
Find the arc length of the partial circle.
amid [387]

The arc length of the partial circle is 7.5π

<h3>Calculating arc length</h3>

From the question, we are to determine the arc length of the partial circle

The length of an arc can be calculated by using the formula

l = \frac{\theta}{360^\circ} \times 2\pi r

Where l is the length of the arc

\theta is the angle subtended

and r is the radius

From the diagram,

θ = 270°

r = 5

Putting the values into the equation, we get

l = \frac{270 ^\circ}{360^\circ} \times 2\pi \times 5

l = \frac{3}{4} \times 2\pi \times 5

l = \frac{30\pi}{4}

l = \frac{15}{2}\pi OR 7.5π

Hence, the arc length of the partial circle is 7.5π

Learn more on Calculating arc length here: brainly.com/question/16552139

#SPJ1

3 0
2 years ago
A dilation is a rigid transformation.<br><br> True or False
Alexxandr [17]
False  because it's a similarity transformation

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Harry and Tim both made New Years resolutions. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How ma
Scilla [17]

Answer:

8 resolutions

Step-by-step explanation:

13 - 5 = 8

8 0
3 years ago
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