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Yakvenalex [24]
3 years ago
11

Select the correct answer.

Mathematics
2 answers:
Paladinen [302]3 years ago
8 0

Answer:

D

Step-by-step explanation:

2x^2+16x-8=0

Simplify:

x^2+8x=4

Rewrite in the form (x+a)^2=b:

x^2+8x=4

Add 4^2 to both sides:

x^2+8x+4^2=4+4^2

x^2+8x+4^2=20

\left(x+4\right)^2=20

x+4=\sqrt{20} or x+4=-\sqrt{20}

x = -4±\sqrt{20}

x= -4±2\sqrt{5}

kipiarov [429]3 years ago
5 0

Answer:

d

Step-by-step explanation:

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Step-by-step explanation:

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The railing of a wheelchair ramp is parallel to the ramp. Find x and y in the diagram.
yKpoI14uk [10]

Given:

The wheel chair ramp is parallel to the ramp.

To find:

The value of x and y.

Solution:

If two lines are parallel, then the alternate interior angles are congruent.

4x° + 6y° = 86° --------- (1)

Similarly,

5x° + 6y° = 94°

Subtract 5x° from both sides.

5x° + 6y° - 5x° = 94° - 5x°

6y° = 94° - 5x° --------- (2)

Substitute (2) in (1).

4x° + 94° - 5x° = 86°

94° - x° = 86°

Subract 94° on both sides.

94° - x° - 94° = 86° - 94°

- x° = 86° - 94°

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3 years ago
A swimming pool at a park measures 9.75 meters by 7.2 meters.
neonofarm [45]

Answer:

Part a) The area of the swimming pool is 70.2\ m^2

Part b) The total area of the swimming pool and the playground is 105.3\ m^2

Step-by-step explanation:

Part a) Find the area of the swimming pool

we know that

The area of the swimming pool is

A=LW

where

L is the length side

W is the width side

we have

L=9.75\ m\\W=7.2\ m

substitute the values

A=(9.75)(7.2)

A=70.2\ m^2

therefore

The area of the swimming pool is 70.2\ m^2

Part b) The area of the playground is one and a half times that of the swimming pool. Find the total area of the swimming pool and the playground

we know that

To obtain the area of the playground multiply the area of the swimming pool by one and a half

\frac{1}{2}(70.2)=35.1\ m^2

To obtain the total area of the swimming pool and the playground, adds the area of the swimming pool and the area of the playground

so

70.2\ m^2+35.1\ m^2=105.3\ m^2

therefore

The total area of the swimming pool and the playground is 105.3\ m^2

6 0
3 years ago
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