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Salsk061 [2.6K]
3 years ago
13

Point G is between F and H on line FH. Use the given information solve for x and then find FG AND GH.

Mathematics
1 answer:
Viktor [21]3 years ago
7 0

Answer:

X=6

FG=31

GH=22

Step-by-step explanation:

Equation: FG+GH=FH

rewrite with values

4x+7 + 5x-8 = 53

combine like terms

9x-1 = 53

add 1 to both sides

9x = 54

divide by 9

x = 6

use 6 end solve for FG and GH

FG = 4(6) + 7 = 31

GH = 5(6) - 8 = 22

Check your answers.. Do FG and GH add up to equal FH (53)?

31 + 22 = 53

I hope this made sense.

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The radius of a circle is 4 m. Find its area in terms of <br> π<br> π.
wlad13 [49]

Answer:

16π

Step-by-step explanation:

Given:

\text{Radius of circle}: 4 \ \text{m}

<u>Formula:</u>

\text{Area of circle} = \pi r^{2}

Replace the radius in the formula:

\implies \text{Area of circle} = \pi (4)^{2}

Evaluate the area:

\implies \text{Area of circle} = \pi (4)(4)

\implies \text{Area of circle} = 16\pi

Since the question says to determine the area in terms of π, the final answer is 16π.

8 0
2 years ago
A ball is thrown from a height of 139 feet with an initial downward velocity of 15 ft/s. The ball's height h (in feet) after t s
ella [17]

Answer:

t = 2.52 seconds

Step-by-step explanation:

h=139-15t-16t^2

We want to know when the ball hits the ground

That would be when h=0

0 = 139-15t-16t^2

We can use the quadratic formula to find t

t = -b ± sqrt(b^2-4ac)

       ----------------------

          2a

where a = -16   b = -15  and c = 139

t = -(-15) ± sqrt((-15)^2-4(-16)139)

       ----------------------

          2(-16)

t = (15) ± sqrt(225+8896)

       ----------------------

          -32

t = (15) ± sqrt(9121)

       ----------------------

          -32

t = 15+ sqrt(9121)                       t = 15- sqrt(9121)

     --------------------   or                    -------------------  

           -32                                               -32

        -3.453247707        or              2.515747707

Since time cannot be negative

 2.515747707

Round to the nearest hundredth

t = 2.52 seconds

6 0
3 years ago
What is the slope of a linear that is perpendicular to the line y=-1/2x+5?​
Vlada [557]

Step-by-step explanation:

Equation of given line is:

y =  -  \frac{1}{2} x + 5 \\  \\ equating \: it \: with \: y =m_1x + c  \\ we \: find \:  \\ m_1 = -  \frac{1}{2} \\ let \: m_2 \: be \: the \: slope \: of \: required \: line \\  \\  \therefore \: m_1 \times m_2 =  - 1( \because \: lines \: are \:  \perp) \\  \\ \therefore \: -  \frac{1}{2} \times m_2 =  - 1\\  \\ \therefore \: m_2 = 2 \\

Thus, the slope of required line is 2.

6 0
3 years ago
Which is the graph of g(x) = [X + 3]?
Rudik [331]

Step-by-step explanation:

g(x) = [X + 3]? the answer is 1 =3x

6 0
3 years ago
Jeremy bought a 5-kilogram can of peanuts for $4.50. What is the unit price?
Goryan [66]

Answer:

$0.90

Step-by-step explanation:

you would divide it by 5

$4.50/5=$0.90

hope this helps

brainliest?

6 0
3 years ago
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