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3 years ago

Find the Pythagorean Triple (a,b,c) using the terms (x²-1, 2x, x²+1) for x > 0 when x =7.

Mathematics

1 answer:

yanalaym [24]3 years ago

4 0

1) 7^2-1=48
2x7=14
7^2+1=50
=(48,14,50)
2)10^2-6^2=64
2x10x6=120
10^2+6^2=136
=(64,120,136)

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Six students all took the same test. Their scores were 70,71,75,75,88, and 89. What is the mean absolute deviation for the test

ki77a [65]

Answer:D)78

Step-by-step explanation:70+71+75+75+88+89/6

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2 years ago

HELP MATH ASAP! MARKING BRANLIST

qwelly [4]

Answer:

-4/3

Step-by-step explanation:

Use the slope formula:

$\frac{y2-y1}{x2-x2}$

-4 - 12/ 13 - 1

-16/12

Simplifies to -4/3

8 0

3 years ago

this is formula manipulation, I'd appreciate if the steps were provided. only respond if you know how to get the answer, thank y

marissa [1.9K]

Answer:

r = 3V/(2πh²)
h = 3V/b²
r = 25/π cm ≈ 7.9577 cm
w = 15 cm

Step-by-step explanation:

1. Multiply both sides of the equation by the reciprocal of the coefficient of r.

$V\cdot\dfrac{3}{2\pi h^2}=r\\\\r=\dfrac{3V}{2\pi h^2}$

2. Multiply both sides of the equation by the reciprocal of the coefficient of h.

$V\cdot\dfrac{3}{b^2}=h\\\\h=\dfrac{3V}{b^2}$

3. Solve the circumference formula for r, then substitute the given information.

$C=2\pi r\\\\r=\dfrac{C}{2\pi}\qquad\text{divide by the coefficient of r}\\\\r=\dfrac{50\,\text{cm}}{2\pi}=\dfrac{25}{\pi}\,\text{cm}\approx 7.9577\,\text{cm}$

4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.

$P=2(L+W)\\\\\dfrac{P}{2}=L+W\qquad\text{divide by 2}\\\\\dfrac{P}{2}-L=W\qquad\text{subtract L}\\\\\dfrac{40\,\text{cm}}{2}-5\,\text{cm}=W=15\,\text{cm}$

_____

In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.

The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."

4 0

3 years ago

The perimeter of Raul's picture frame is 108 centimeters. The length of the picture frame is 18 centimeters. What is the width o

katen-ka-za [31]

36 centimeters because 18 times 2 is 36, and 108 minus 36 is 72. and you want to divide 72 by two because theres' 2 sides

4 0

3 years ago

After grabbing some food from the cafeteria, Ray trips causing his food to go up in the air before hitting the ground. The parab

Dahasolnce [82]

The maximum height of the tray is 1.8 meters and the tray is in the air for 2 seconds

<h3>The maximum height of the tray</h3>

The distorted information (i.e. the function) in the question is:

h(t) = -0.2t^2 + 0.4t + 1.6

Differentiate the function

h'(t) = -0.4t + 0.4

Set to 0

-0.4t + 0.4 = 0

Subtract 0.4 from both sides

-0.4t = -0.4

Divide by -0.4

t = 1

Substitute t = 1 in h(t) = -0.2t^2 + 0.4t + 1.6

h(1) = -0.2(1)^2 + 0.4(1) + 1.6

Evaluate

h(1) = 1.8

Hence, the maximum height of the tray is 1.8 meters

<h3>Time spent in the air</h3>

In (a), we have:

t = 1

This represents the time to reach the maximum height.

The time spent in the air is:

T = 2t

This gives

T = 2 * 1

T = 2

Hence, the tray is in the air for 2 seconds

Read more about quadratic functions at:

brainly.com/question/11535666

#SPJ1

7 0

1 year ago