MATHEMATICS HIGH SCHOOL

The area of a playground is 50 square yards. The length of the playground is 2 times longer than its width. find the length and width of the playground.

Answers

Answer 1

Answer:

Answer:

The length of the playground is 10 yards

The width of the playground is 5 yards.

Step-by-step explanation:

Given: The area of a playground is 50 square yards. The length of the playground is 2 times longer than its width.

Area = 50 square yards

Length = 2*width = 2w

Area of the playground = length*width

50 = 2w *w

2w^2 = 50

Dividing both sides by 2, we get

2w^2/2 = 50/2

w^2 = 25

Taking square root on both sides, we get

w = √25

w = 5 yards

Now let's find the length.

Length = 2 * width

= 2*5

length = 10 yards

Answer 2

Answer: length x width = area
width=x
length=2x
2x*x=50
2x^2=50
x^2=25
x=5
width=5
length=2x5=10

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Two perpendicular lines intersect at the origin. If the slope of the first line is 3, what is the equation of the second line?.

Answers

The slope of the line perpendicular to a line with a given slope is its negative reciprocal. Hence, the new slope is -1/3. The equation of the line given slope and point can be generally expressed as,
y - y1 = m(x - x1)
Substituting,
y - 0 = (-1/3)(x - 0)
The final equation would be,
x + 3y = 0

if slope of first line is 3 and is perpendicular to second line
then second line has a slope of -1/3

The slope of the line whose equation is 3x - 2y = 4 is 2/3 3/2 -2 2x + y = 8 x + y = 4 The lines whose equations are given intersect at (4, 0) (0, 4) all points on the line
The points (2, 1), (3, 3), (4, 5), and (5, 6) are collinear.
a. True
b. False

Answers

The lines whose equations are given intersect at. (4, 0)

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a. True

Find the sum. Do not round.

39.882 + 11.03 =

Answers

the answer is 50.912

The answer not rounded is 50.91200

· If the value of +/= , find the value of + /

Answers

if x/y=0 and we're finding x,

you would multiply y on both sides so x=0

If this wasn't the answer you were looking for, tell me and I can edit my answer

Jana and her friend bought 4 hamburgers, 3 orders of fries, and 2 milk shakes for $3 each. They paid for the food with $20. Which part of the equation represents the total cost of their items? Justify your answer. c = $20 - (4h + 3f + 6)

A) $20; They paid $20 for the food.
B) (4h + 3f); Find the total cost by adding the price of 4 hamburgers to the price of 3 fries
C) 4h + 3f + 6; Find the total cost by adding the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes.
D) c = 20 - (4h + 3f + 6); Find the total cost by subtracting the price of 4 hamburgers to the price of 3 fries to the price of 2 milkshakes.