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3 years ago

Factor completely: 16x2 − 81

Mathematics

1 answer:

patriot [66]3 years ago

8 0

16 times 2 is 32. 81-32 is....49. Did I answer your question?

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Give answer fast...<br>it's very important for me....<br>then I give you 20 thanks...(◍•ᴗ•◍)❤

Vedmedyk [2.9K]

Answer:

I have the answer

Step-by-step explanation:

8 0

3 years ago

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Choose the equation below that represents the line passing through the point -3,-1 with the slope of four

tresset_1 [31]

Answer:

y+1 = 4(x+3)

Step-by-step explanation:

To write the equation of a line use the point slope form by substituting m = 4 and the point (-3,-1).

$y - y_1 =m(x-x_1)\\y --1 = 4(x--3)\\y+1 = 4(x+3)$

5 0

3 years ago

PLS HELP ASAP calculate the distance between the two points. (18, -24) & (87, 100)

GarryVolchara [31]

Answer:

<h3>The answer is 141.90 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(18, -24) & (87, 100)

The distance between them is

$d = \sqrt{ ({18 - 87})^{2} + ({ - 24 - 100})^{2} } \\ = \sqrt{ ( { - 69})^{2} + ( { - 124})^{2} } \\ = \sqrt{4761 + 15376} \\ = \sqrt{20137} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 141.90489773...$

We have the final answer as

<h3>141.90 units</h3>

Hope this helps you

5 0

3 years ago

Drake's yard measures 24 feet by 30 feet. His garden, which is part of the yard, measures 3 feet by 9 feet. What is the area of

tia_tia [17]

720 squared ft

I hope this helps:)

7 0

4 years ago

Which portion of the unit circle satisfies the trigonometric inequality cos^2theta + sin^2theta is greater than or equal to 1. A

liberstina [14]

Answer:

Only points on the circle satisfy the given inequality.

Step-by-step explanation:

Given: Unit circle

To find: portion of the unit circle which satisfies the trigonometric inequality $\sin ^2\theta +\cos ^2\theta \geq 1$

Solution:

In the given figure, OA = 1 unit (as radius of the unit circle equal to 1)

$\sin \theta$ = side opposite to $\theta$ /hypotenuse

$\cos \theta$ = side adjacent to $\theta$ /hypotenuse

$\sin \theta =\frac{AB}{AO}\\\sin \theta =\frac{AB}{1}\\AB=\sin \theta$

$\cos \theta=\frac{OB}{AO}\\\cos \theta =\frac{OB}{1}\\OB=\cos \theta$

So, coordinates of A = $\left ( \cos \theta ,\sin \theta \right )$

For any point (x,y) on the unit circle with centre at origin, equation of circle is given by $x^2+y^2=1$

Put $(x,y)=\left ( \cos \theta ,\sin \theta \right )$

$\cos ^2\theta +\sin ^2\theta =1$

So, $(x,y)=\left ( \cos \theta ,\sin \theta \right )$ satisfies the equation $x^2+y^2=1$

For points $(x,y)=\left ( \cos \theta ,\sin \theta \right )$ inside the circle, $\cos ^2\theta +\sin ^2\theta$

For points $(x,y)=\left ( \cos \theta ,\sin \theta \right )$ outside the circle, $\cos ^2\theta +\sin ^2\theta >1$

So, only points on the circle satisfy the given inequality.

4 0

3 years ago

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