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oee [108]
3 years ago
14

G(x) = x to the power of 2 - 6 over 3x + 10 & g(4) = what over what

Mathematics
1 answer:
dalvyx [7]3 years ago
8 0

Answer:

We have that:

g(x) = \frac{x^2 - 6}{3*x + 10}

And we want to find the value of g(4)

Then we are evaluating the function g(x) in x = 4, this means that we need to locate all the "x" in g(x), and replace them by 4.

If we do that, we get:

g(4) = \frac{4^2 - 6}{3*4 + 10}

Now we can just solve this to get:

g(4) = \frac{4^2 - 6}{3*4 + 10} = \frac{16-6}{12-10} = \frac{10}{2}  = 5

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Dmitry_Shevchenko [17]

Answer:

A.The scale factor is 0.25 ⇒ <u>True</u>

B.The scale factor is 4 ⇒ <u>False</u>

Step-by-step explanation:

<u>See the attached figure.</u>

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

A dilation that creates a smaller image is called a reduction.

As Shown, two right triangles, The first triangle is dilated to form the second triangle.

We can deduce that the second image is a smaller than the first triangle.

The hypotenuse of the first triangle = 4.4

The hypotenuse of the second triangle = 1.1

So, the scale factor = 1.1/4.4 = 11/44 = 1/4 = 0.25

<u>We will check the options:</u>

A.The scale factor is 0.25 ⇒ True

B.The scale factor is 4 ⇒ False

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3 years ago
Read 2 more answers
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Mamont248 [21]

Both Rhianna and Christopher were correct as they took different reference angles.

Step-by-step explanation:

Step 1:

tan \theta = \frac{opposite side}{adjacentside} .

The value of the tan of a reference angle is calculated using the above formula.

The hypotenuse is the longest side of the triangle is always opposite the right angle of the triangle.

In this triangle, the hypotenuse is the side measuring 5 units.

Step 2:

When the reference angle is A, the opposite side measures 3 units and the adjacent side measures 4 units.

So tan A = \frac{3}{4} .

When the reference angle is C, the opposite side measures 4 units and the adjacent side measures 3 units.

So tan C = \frac{4}{3} .

So both Rhianna and Christopher were right as they took different reference angles i.e. A and C.

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12

Step-by-step explanation:

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Factors of 42: 1,2,3,(6),7,14,21,42

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2 years ago
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Step-by-step explanation:

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