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3 years ago

at 10.5mph how long would it take to go 6776 miles and why? My lecture did't really touch over on this subject.

Mathematics

1 answer:

alexandr402 [8]3 years ago

5 0

Speed = 10.5miles/ h
time= 6776miles / 10.5miles/h
= 645 hours
to find time from speed and distance,
use distance/speed

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write an equation in point-slope form for the line that has a slope of 1/5 and contains the point (2, -9).

andriy [413]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

$\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$

Write an equation in point-slope form for the line that has a slope of $\bold{\dfrac{1}{5} }$ and contains the point (2, -9).

$\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$

$\sf{Formula\:for\:Point-Slope:-}$

$\dashrightarrow\bigstar\star\boxed{\bold{y-y_1=m(x-x_1)}}\star\bigstar\dashleftarrow$

Where

y₁ = the y-coordinate of the point that the line contains

m = slope

x₁ = the x-coordinate of the point that the line contains

Provided Information:-

y₁ = -9

m = $\dfrac{1}{5}$

x₁ = 2

Substitute the values:-

$\sf{y-(-9)=\dfrac{1}{5} (x-2)}$

On simplification,

$\sf{y+9=\dfrac{1}{5}(x-2)}$

According to the answer and explanation, we conclude that

[<u>The correct answer is Option B]</u>

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5 0

2 years ago

The sum of all but one interior angle of a heptagon is 776 the final angle must have a measurement of

densk [106]

Answer:its actually 124

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

you want to make a scale drawing of your bedroom to help you arrange your furniture. you decide on a scale of 3in.=2ft. your bed

Gekata [30.6K]

--------------------------------------------------------------
Ratio
--------------------------------------------------------------
2 ft : 3 in
1 ft : 3/2 in

--------------------------------------------------------------
Find 12 ft
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1 ft : 3/2 in
12 ft : 3/2 x 12 in
12 ft : 18 in

--------------------------------------------------------------
Find 14 ft
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1 ft : 3/2 in
14 ft : 3/2 x 14 in
14 ft : 21 in

--------------------------------------------------------------
Answer: The dimensions are 18 in x 21 in
--------------------------------------------------------------

4 0

3 years ago

Let f(x) = |x|, ????(x) = 2f(x), and h(x) = 1 / 2 f(x) for any real number x.

SashulF [63]

Answer:

g(x) = 2|x|

h(x) = $\frac{1}{2}$ |x|

Step-by-step explanation:

If you have g(x)=2f(x) and h(x)= $\frac{1}{2}$ f(x), you can rewrite the expressions in terms of |x| as the following:

- For g(x)=2f(x) you have:

g(x) = 2|x|

-For h(x)= $\frac{1}{2}$ f(x), you have:

h(x) = $\frac{1}{2}$ |x|

8 0

3 years ago

The sum of the ages of Berma, her mother Rinna and her father Erwin is 80. Two years from now, Rinna’s age will be 13 less than

jekas [21]

Answer: Berma is 5 years old

Rinna is 38 years old

Erwin is 37 years old

Step-by-step explanation:

Let x represent Berma's age

Let y represent Rinna's age

Let z represent Erwin's age

Since the sum of their ages is 80,

x + y + z = 80 - - - - - - -1

Two years from now, Rinna’s age will be 13 less than the sum of Erwin’s age and twice Berma’s age. This means that

y +2 = [ (z+2) + 2(x+2) ] - 13

y +2 = z + 2 + 2x + 4 - 13

2x - y + z = 13 + 2 - 4 -2

2x - y + z = 9 - - - - - - -2

Three years ago, 15 times Berma’s age was 5 less than the age of Rinna. It means that

15(x - 3) = (y - 3) - 5

15x - 45 = y - 3 - 5

15x - y = - 8 + 45

15x - y = 37 - - - - - - - -3

From equation 3, y = 15x - 37

Substituting y = 15x - 37 into equation 1 and equation 2, it becomes

x + 15x - 37 + z = 80

16x + z = 80 + 37 = 117 - - - - - - 4

2x - 15x + 37 + z = 9

-13x + 2 = -28 - - - - - - - - -5

subtracting equation 5 from equation 4,

29x = 145

x = 145/29 = 5

y = 15x - 37

y = 15×5 -37

y = 38

Substituting x= 5 and y = 38 into equation 1, it becomes

5 + 38 + z = 80

z = 80 - 43

z = 37

6 0

3 years ago