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strojnjashka [21]
3 years ago
15

M (18, 24) is the midpoint of segment JL with J (- 4, - 2). What are the coordinates for L?

Mathematics
1 answer:
faust18 [17]3 years ago
5 0

Answer:

mid point (x,y) = M (18, 24)

let J (- 4, - 2) be ( x1, y1)

     L(a,b) be (x2,y2)

using midpoint formula

(x,y) = [(x1+x2)/2, (y1 + y2)/2]

or, (18, 24) = [(-4+a)/2, (-2+b)/2]

comparing corresponding element we get

18 = (-4+a)/2                 24 =(-2+b)/2

or 36 = -4+ a            or 48 = -2 +b

or a = 40                  or b= 50

L(40,50)

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The volume of a pyramid is one-third the volume of a prism.

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Enter the simplified form of the complex fraction in the box. Assume no denominator equals zero.
Olenka [21]

Answer:

\frac{(9-x)}{3x}

Step-by-step explanation:

we have

\frac{\frac{2}{x-3}-\frac{3}{x}}{\frac{3}{x-3}}

step 1

Solve the numerator of the quotient

\frac{2}{x-3}-\frac{3}{x}=\frac{2x-3(x-3)}{(x-3)x}=\frac{2x-3x+9}{(x-3)x}=\frac{9-x}{(x-3)x}

step 2

substitute in the original expression

\frac{\frac{9-x}{(x-3)x}}{\frac{3}{x-3}}

\frac{(x-3)(9-x)}{3x(x-3)}

step 3

simplify

\frac{(9-x)}{3x}

5 0
3 years ago
Directions: Number the distances from the shortest to the longest: 1 being the shortest distance and 5 being the longest. Justif
sleet_krkn [62]

Answer: Number the distances from the shortest to the longest:

1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km


Solution:

To compare, all the distances must be in the same unit, for example feet.


a. Dallas, Texas, to Houston, Texas, is 385 km

We must transform from km to feet:

385 km * (1,000 m / 1 km) * (100 cm / 1 m) * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(385*1,000*100*1*1)/(1*1*2.54*12) feet =

38,500,000/30.48 feet =

1,263,123.359 feet =

1,263,123 feet


b. Hoboken, New Jersey, to New York City is 659,831 cm

We must transform cm to feet:

659,831 cm * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(659,831*1*1)/(2.54*12) feet =

659,831/30.48 feet =

21,647.99868 feet =

21,648 feet


c. Orlando, Florida, to Tampa, Florida, is 446,160 feet


d. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

We must transform from inches to feet:

2,521,728 inches * ( 1 feet / 12 inches) =

(2,521,728*1) / 12 feet =

2,521,728/12 feet =

210,144 feet


e. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

We must transform from yards to feet:

161,920 yards * (3 feet / 1 yard) =

(161,920*3)/1 feet =

485,763 feet


Ordering the values in feet from the shortest to the longest:

21,648 feet < 210,144 feet < 446,160 feet < 485,763 feet < 1,263,123 feet


With the original units:

659,831 cm < 2,521,728 inches < 446,160 feet < 161,920 yards < 385 km


Then the order is:


1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km

6 0
3 years ago
The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4). Which equation represents the function ?
lyudmila [28]

The equation of the line will be given as y = -4x - (- 17/ 4).

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.


Given that:-

  • The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4).

The equation of the line will be given as:-

y  -  y₁ = m ( x  -  x₁)

slope m will be calculated as:-

m =\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1+1}{\dfrac{-3}{4}+\dfrac{1}{4}}=-4

The equation will be:-

y  -  (1/4)  =  -4( x +  1 )

y  = -4x  -  (17/4)

Therefore the equation of the line will be given as y = -4x - (- 17/ 4).

To know more about equations follow

brainly.com/question/2972832

#SPJ1

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2 years ago
Jill Barkely obtained a 25-year, $460,000 mortgage loan from University Savings and Loan Association with 6% interest. The month
aleksley [76]
<span>Have you considered calculating it directly? $2,962.40*(0.06/12)
If you do that then your answer would be 14.81...
Hope this helps...  :)</span>
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3 years ago
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