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Nuetrik [128]
2 years ago
9

What is the slope indicated in the table below?

Mathematics
1 answer:
Mila [183]2 years ago
3 0

Answer:

it goes up (x) goes by 5 and (y) by 7

Step-by-step explanation:

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A pool measuring 8 meters by 26 meters is surrounded by a path of uniform​ width, as shown in the figure. If the area of the poo
Ainat [17]
Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.

Combined Area = (2x + 26)*(2x + 8) = 1008

2x*(2x + 8) + 26*(2x + 8 ) = 1008

4x² + 16x + 52x + 208 = 1008

4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0.          Divide through by 4.
x²  + 17x - 200 = 0 . This is a quadratic equation.

Multiply first and last coefficients:  1*-200 = -200

We look for two numbers that multiply to give -200, and add to give +17

Those two numbers are 25 and -8.

Check:   25*-8 = -200         25 + -8 = 17

We replace the middle term of +17x in the quadratic expression with 25x -8x


 x² +17x - 200 = 0     

x² + 25x - 8x - 200 = 0     

x(x + 25) - 8(x + 25) = 0

(x+25)(x -8) = 0

x + 25 = 0    or   x - 8 = 0

x = 0 -25              x = 0 + 8

x = -25                    x = 8

The width of the path can not be negative.

The only valid solution is x = 8.

The width of the path is 8 meters.
8 0
2 years ago
Brain enjoys hang gliding on his last flight, he jumped off a cliff 520 high he landed 450 from the base of the cliff how far di
belka [17]

Answer:

Brain travelled 687.68 from the cliff.

Step-by-step explanation:

Given that:

Height of the cliff = 520

Base of the cliff = 450

The distance will form the hypotenuse of right angled triangle.

Pythagorean theorem states square of hypotenuse of right angled triangle is equal to the sum of squares of base and height of triangle.

Using pythagorean theorem;

a = 520, b=450, c = hypotenuse

a^2+b^2=c^2\\(520)^2+(450)^2=c^2\\270400+202500=c^2\\472900=c^2\\c^2=472900

Taking square root on both sides

\sqrt{c^2}=\sqrt{472900}\\c=687.68

Hence,

Brain travelled 687.68 from the cliff.

6 0
2 years ago
Use a geometric model to factor x2 - 9 by following these steps:
Finger [1]

Answer:(x-3) (x+3)

Step-by-step explanation:

4 0
2 years ago
Find the area of the figure.
Nady [450]

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width to the big square is 60cm. The length to the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

⋅

W

=

56

⋅

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

⋅

W

=

24

⋅

34

=

816

The area enclosed is the area of the big square minus the area of the little square.

3360

−

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

4 0
2 years ago
Jamie made 56 free throws. This is 70% of the free throws she attempted. How
RoseWind [281]

Answer:

B. 80

70% percent of 80 is 57

4 0
3 years ago
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