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3 years ago

On a coordinate plane, a line F G goes through (negative 8, negative 8) and (8, 4). Point H is at (6, negative 6).

Mathematics

1 answer:

fenix001 [56]3 years ago

8 0

Answer:

(–6, 10)

Step-by-step explanation:

Because the line is perpendicular its slope is the negative reciprocal of line FG. If we examine the graph and plot out the slope we see that it crosses point (–6, 10).

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Ymorist [56]

The answer is 21.9

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6 0

3 years ago

Read 2 more answers

the sum of three numbers is 15. the second number is double the first. the third number is 5 less than the first. what are the t

tigry1 [53]

Hello from MrBillDoesMath!

Answer:

5, 10, 0

Discussion:

Let "f" be the first number. Then the questions tells us that

f + 2f + (f-5) = 15 =>

f + 2f + f - 5 = 15 => add 5 to both sides

4f = 5+ 15 = 20 => divide both sides by 4

f = 20/4 = 5

The numbers as

f: 5

2f: 10

(f-5): 0

Thank you,

MrB

5 0

3 years ago

An airplane is flying from New York City to Los Angeles the distance it travels in Miles D is related to the time in seconds T b

tatiyna

Answer:

It takes 85 seconds to go 12.75 miles

Step-by-step explanation:

We are given

An airplane is flying from New York City to Los Angeles

the distance it travels in Miles D is related to the time in seconds T by the equation

$d=0.15T$

we are given to find time when distance is 12.75 miles

so, we can set d=12.75

and then we can solve for T

$12.75=0.15T$

We can divide both sides by 0.15

$T=\frac{12.75}{0.15}$

$T=85$

So,

It takes 85 seconds to go 12.75 miles

6 0

3 years ago

Marine fuel is a combination of gasoline and motor oil. The standard gasoline and oil mixture is about 98% gasoline and about 2%

Georgia [21]

Answer:

0.98g+ 0.02m= 7.1224 gallons standard mixture

0.96g+ 0.04m= 6.25 gallons break oil

3.92 gallons of gasoline is required for 4 gallons the standard mixture

Step-by-step explanation:

If we have to use 6 gallons of gasoline this means that 98%= 6 gallons and 2% would be 6/98*2

Gasoline: Motor oil

6 : x

98 : 2

Using the product rule

x= 6*2/98= 0.1224 gallons of motor oil is required.

Let the gasoline be represented by g and motor oil by m then for the standard oil the equation would be

0.98g+ 0.02m= 7.1224 gallons standard mixture

For break in oil

Gasoline: Motor oil

6 : x

96 : 4

Using the product rule

x= 6*4/96= 0.25 gallons of motor oil is required.

Let the gasoline be represented by g and motor oil by m then for the break oil the equation would be

0.96g+ 0.04m= 6.25 gallons break oil

Part b. For 4 gallons of the "break in" mixture

96% of the 4 gallons of the "break in" mixture is gasoline = 3.84 gallons of gasoline

4% of 4 = 0.16 gallons of motor oil

Now the standard mixture 4 gallons would contain 98 % of gasoline and 2 % of motor oil

98% of 4 gallons= 3.92 gallons of gasoline

2% of 4 gallons= 0.08 gallons of motor oil.

6 0

3 years ago

11 Pause

muminat

Answer:

Step-by-step explanation:

Given that:

Batting average = 0.25 after 160 times at bat;

Batting Average = Number of hits / number of times at bat

0.25 = number of hits / 160

Number of hits = 0.25 * 160 = 40

He want batting average to improve to 0.333 ; if he makes hit the next x times at bat ; number of hits is needed to improve batting average

Hence,

New average = number of hits / number of times at bat

0.333 = (number of hits + x) / (160 + x)

0.333 = (40 + x) / (160 + x)

6 0

4 years ago