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stiv31 [10]
3 years ago
10

What is 5x-(3+7)=9+2(x-8)

Mathematics
2 answers:
raketka [301]3 years ago
3 0
5x-3-7=9+2x-16
5x-10=2x-7
5x-2x=-7+10
3x=3
X=1
masya89 [10]3 years ago
3 0

Answer:

x= 1

Step-by-step explanation:

5x - (3+7)=9+2(x-8)

Add the numbers 3 + 7= 10

5x - 10= 9 + 2(x-8)

Expand 9 + 2(x-8): 2x - 7

5x - 10 = 2x - 7

Add 10 to both sides

5x -10 + 10 = 2x -7 + 10

Simplify 5x = 2x + 3

Subtract 2x from both sides

5x -2x = 2x + 3- 2x

Simplify

3x = 3

Divide both sides by 3

3x/3 =3/3

Simplify

x= 1

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Answer:

40.3 m

Step-by-step explanation:

a²+b²=c²

40²+5²=c²

1600+25= 1625

√1625 = 40.3112

8 0
3 years ago
In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati
Novay_Z [31]

Answer:

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

Step-by-step explanation:

we have

h=-16t^2+55t+4

This is a vertical parabola open downward

The vertex represent a maximum

where

h is the height of the bird

t is the amount of time, in seconds, the bird had been in the air

For h=40 ft

substitute in the quadratic equation

40=-16t^2+55t+4

-16t^2+55t+4-40=0

-16t^2+55t-36=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+55t-36=0

so

a=-16\\b=55\\c=-36

substitute in the formula

x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}

x=\frac{-55\pm\sqrt{721}} {-32}

x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec

x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec

therefore

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

3 0
3 years ago
How do you find the x
lions [1.4K]
Because those are straight lines, the 46 degrees must be equal to the (2x - 4).
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