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3 years ago

Is the point 4,16 on the graph of the function y=4x? why?

Mathematics

1 answer:

lana66690 [7]3 years ago

5 0

Answer:

Yes. It works in the equation.

Step-by-step explanation:

To see if (4,16) is on the line, substitute (4,16) into the equation.

y = 4x

16 = 4*4

16 = 16

It satisfies the equation and makes it a solution.

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Find the measures of each angle in the inscribed quadrilateral.

Marat540 [252]

Answer:

m∠P = 55° , m∠R = 125° , m∠Q = 110° , m∠S = 70°

Step-by-step explanation:

* Lets study the figure

- A circle and inscribed quadrilateral PQRS

- The four vertices of the quadrilateral lie on the circumference

of the circle

∴ PQRS is a cyclic quadrilateral

* Lets revise the properties of the cyclic quadrilateral

- Each two opposite angles are supplementary, that means

the sum of each two opposite angles = 180°

- The measure of the exterior angle = the measure of the

opposite interior angle

* Lets solve the problem

∵ PQRS is a cyclic quadrilateral

∴ m∠P + m∠R = 180° ⇒ opposite angles

∵ m∠P = 5y + 30

∵ m∠R = 15y + 50

∴ 5y + 30 + 15y + 50 = 180 ⇒ add the like terms

∴ 20y + 80 = 180 ⇒ subtract 80 from both sides

∴ 20y = 100 ⇒ divide both sides by 20

∴ y = 5

* Now lets substitute the value of y in each angle to find

their measures

∵ m∠P = 5y + 30

∴ m∠P = 5(5) + 30 = 25 + 30 = 55°

∵ m∠R = 15y + 50

∴ m∠R = 15(5) + 50 = 75 + 50 = 125°

∵ m∠Q = y² + 85

∴ m∠Q = 5² + 85 = 25 + 85 = 110°

∵ ∠S is opposite to ∠Q

∴ m∠S + m∠Q = 180° ⇒ opposite angles in the cyclic quadrilateral

∴ m∠S + 110 = 180 ⇒ subtract 110 from the both sides

∴ m∠S = 70°

* The measures of the angles are

m∠P = 55° , m∠R = 125° , m∠Q = 110° , m∠S = 70°

8 0

2 years ago

-5(-2) =<br><br> Need help ASAP (too lazy to actually do the work )

just olya [345]

I think the answer is 10

4 0

3 years ago

Read 2 more answers

What is the value of x in the equation 0.7x – 1.4 = –3.5?<br> –7<br> –3<br> 3<br> 7

Lynna [10]

-3

1. Add -1.4 to each side.
2. Divide by 0.7 on each side.

Hope this helps

4 0

3 years ago

Read 2 more answers

A pilot and co-pilot are performing a test run in a new airplane. The pilot is required to take off and fly in a straight path a

crimeas [40]

Using the slope concept, it is found that:

The minimum horizontal distance is of 14,281.5 feet.

The maximum horizontal distance is of 15,398.6 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>.

It's also the tangent of the angle of depression.

In this problem, the vertical change is the altitude of 10,000 feet.

The minimum horizontal distance is with an angle of 35º, hence:

$\tan{35^{\circ}} = \frac{10000}{d}$

$d = \frac{10000}{\tan{35^{\circ}}}$

$d = 14281.5$

The maximum horizontal distance is with an angle of 33º, hence:

$\tan{33^{\circ}} = \frac{10000}{d}$

$d = \frac{10000}{\tan{33^{\circ}}}$

$d = 15398.6$

You can learn more about the slope concept at brainly.com/question/22568180

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2 years ago

Triangle ABC has been rotated 90° to create triangle DEF. Using the image below, prove that lines BC and EF have the opposite an

denis-greek [22]

The correct answer is acute.

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2 years ago