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morpeh [17]
3 years ago
5

Write the equation of the line that passes through points (-7,8) and (4,-5)

Mathematics
2 answers:
VLD [36.1K]3 years ago
6 0

Answer:

y = -13/11x - 3/11

Step-by-step explanation:

First, find the slope of the line using the slope formula.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-5-8}{4-(-7)}\\m=-\frac{13}{11}

Then, use the point-slope formula and substitute the values for the variables.

y-y_1=m(x-x_1)\\y-8=-\frac{13}{11}(x-(-7))\\y-8=-\frac{13}{11}x-\frac{91}{11}\\y=-\frac{13}{11}x-\frac{3}{11}

Alex3 years ago
5 0

Answer:

y=-3/11x+67/11

Step-by-step explanation:

y-8=-5-8/4--7(x--7)

y-8=-3/11(x+7)

11y-88=-3x-21

11y=-3x-21+88

11y=-3x+67

y=-3/11x+67/11

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1 mile

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1 mile is larger because if you put 740 yards in miles it equals 0.42 miles.

So 1 mile is larger than 740 or 0.42 miles

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Simplify 3 · 2x. What is the coefficient?<br> • 2<br> • 3<br> • 6
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2x=6x so, answer is 6.

Step-by-step explanation:

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3 years ago
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In a right triangle, the hypotenuse is three inches more than twice the length of one leg. If the other leg is 12 inches, what i
andrew-mc [135]

Answer:

Length of hypothenuse = 13 inches

Length of other leg = 5 inches

Step-by-step explanation:

A triangle has three sides and three angles. A right angle triangle has 90 degrees as one of the angles. The remaining two angles are complimentary. This means that the sum if the other two angles is 90 degrees.

The longest side is the hypotenuse. The shorter sides are the opposite and adjacent.

In this triangle, the hypotenuse is three inches more than twice the length of one leg. Let the length of one leg be x inches.

Hypothenuse = 2x + 3

The other leg is 12 inches.

The diagram is illustrated in the attached photo.

Applying Pythagoras theorem,

Hypothenuse ^2 = adjacent^2 + opposite ^2

(2x+3)^2 = 12^2 + x^2

(2x+3)(2x+3)= 144 + x^2

4x^2 + 6x + 6x + 9 = 144 + x^2

4x^2 - x^2 + 6x + 6x + 9 - 144 = 0

3x^2 +12x - 135 = 0

3x^2 +27x - 15x - 135 = 0

3x(x+9)-15(x+9)=0

(3x -15)(x+9) = 0

3x -15 = 0 or x+9= 0

3x = 15 or x = -9

x = 15/3 = 5

x = 5inches because it cannot be negative.

Length of hypothenuse = 2x + 3

= 2×5 + 3 = 10 + 3 = 13 inches

6 0
3 years ago
Hamburger Heaven is having a lunch special where customers buy one 3/4 -pound cheeseburger and get one free. If they set aside 3
user100 [1]

Answer:

49 hamburguers (of 3/4 pound)

Step-by-step explanation:

3/4 pound is equal to 0.75 pound

37 1/3 pounds of meat is equal to

37 + 1/3 pound =  37.3333 pounds

To find how much hamburguers can be made, we need to divide

37.3333 pounds/ 0.75 pounds

37.3333 pounds/ 0.75 pounds = 49.777777

(We need to round to the lowest number)

This means that 49 hamburguers could be made

4 0
3 years ago
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