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Anit [1.1K]
3 years ago
7

A screen has side lengths of 10 ft and

Mathematics
1 answer:
Strike441 [17]3 years ago
3 0

The length from one  corner to the opposite corner is 26 feet

The screen is the shape of a rectangle.

The length from one corner to the opposite corner is known as the diagonal or hypotenuse. The diagonal separates the rectangle into 2 right-angled triangles . The diagonal's value can be determined using Pythagoras theorem

The Pythagoras theorem: a² + b² = c²

where a = length

b = width

c = diagonal

10² + 24²

100 + 576

= 676

determine the value of the square root

√576 = 26 feet

To learn more about Pythagoras theorem, please check: brainly.com/question/20936855?referrer=searchResults

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Find p(2) and p(4) for the function p(x) = 6x4 + 4x3 – 3x2 + 8x + 15.
gulaghasi [49]

Answer:

p(2) =147 and p(4) = 1791

Step-by-step explanation:

We are given p(x)= 6x^4 + 4x^3 – 3x^2 + 8x + 15.

Now we need to find value of p(2) and p(4)

Put x =2,

p(2) = 6(2)^4 + 4(2)^3 – 3(2)^2 + 8(2) + 15

p(2) = 6(16)+4(8)-3(4)+8(2)+15

p(2) = 96+32-12+16+15

p(2) = 147

Now put x = 4

p(4) = 6(4)^4 + 4(4)^3 – 3(4)^2 + 8(4) + 15

p(4) = 6(256)+4(64)-3(16)+8(4)+15

p(4) = 1536+256-48+32+15

p(4) = 1791

3 0
4 years ago
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ADE and ABC are similar.Which best explains why the slope of the line between points A and D is the same as the slopes between p
Ann [662]

Answer:

The slopes of the line are most likely the same because they are parallel lines. Parallel lines always have the same slope as eachother.

Step-by-step explanation:

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4 years ago
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Solve equation <br> 7y-9=24-4y
Yuliya22 [10]

Answer:

y=3

Step-by-step explanation:

7y-9=24-4y

First add 4y to both sides:

7y+4y-9=24-4y+4y

11y-9=24

Add 9 on both sides:

11y-9+9=24+9

11y=33

Divide by 11:

y=3

I hope this helped you!

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3 years ago
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If a truck goes 30 kilometers in 30 minutes, what is its average speed?
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If you want to find kmph, you could make a ratio, 30:30, and multiply each to get 60km in 60 min.so the answer is 60km in 1hr





3 0
4 years ago
Which function has an asymptote at x= 39
LekaFEV [45]

Answer:

option B : f(x)= log_7(x-39)

Step-by-step explanation:

(a) f(x) = 7^{x-39}

For exponential function , there is no vertical asymptotes

General form of exponential function is

f(x) = n^{ax-b}+k

f(x) = 7^{x-39}

In the given f(x) the value of k =0

So horizontal asymptote is y=0

(b) lets check with option

f(x)= log_7(x-39)

To find vertical asymptote we set the argument of log =0  and solve for x

Argument of log is x-39

x-39=0 so x=39

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