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3 years ago

5

Inverse square root (x+3)

1 answer:

QveST [7]3 years ago

8 0

Answer:

The inverse function is f(x) = x^2 - 3

Step-by-step explanation:

To find the inverse of any function, start by switching the x and f(x) values.

f(x) = √(x + 3)

x = √(f(x) + 3)

Now solve for the new f(x). The result will be your inverse function.

x = √(f(x) + 3)

x^2 = f(x) + 3

x^2 - 3 = f(x)

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Which line segments are equal? How do you know?

Olenka [21]

Answer:

MQ and QP are equal, MO and OP are equal, x=2

Step-by-step explanation:

QO is a perpendicular bisector of MP meaning that Triangle MQP must be isosceles (if at least two of the following, angle bisector, median, or an altitude, coincide in a triangle, that triangle must be isosceles). In this case an altitude and median coincide in triangle MQP. This means that MQ=QP as the triangle is isosceles. And also MO=OP because QO is a median. Now solving for x, 11=4x+3, 8=4x, x=2. Hope this helps!

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Sara pays $2,120 in bills each month. Her monthly income is $2,960. What is Sara's disposable income?

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2 years ago

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2 years ago

The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81 degrees. What is the ap

GuDViN [60]

Answer:

A. 5.19 units

Step-by-step explanation:

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}$

Given:

$\theta$ = 81°
Arc length = 7.34 units

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$\implies 7.34=2 \pi r\left(\dfrac{81^{\circ}}{360^{\circ}}\right)$

$\implies 7.34=r\left(\dfrac{18 \pi}{40}\right)$

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1 year ago

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The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.

aksik [14]

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

<h3 /><h3>Side 1:</h3>

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

<h3>Side 2:</h3>

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

<h3>Side 3:</h3>

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

<h3>Side 4:</h3>

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

<h3>Side 5:</h3>

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

<h3>Side 6:</h3>

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

<h3>Surface Area:</h3>

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

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3 years ago

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