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3 years ago

What is the GCF of x2 and x9?

Mathematics

1 answer:

zepelin [54]3 years ago

3 0

Answer:

x²

Step-by-step explanation:

Given the values x² and x^9

The greatest common factor is the factors common to two or more compared values :

Factors of :

x² = x * x

x^9 = x * x * x * x * x * x * x * x * x

Multiplying the Factors in both are : x * x = x²

Similarly :

___|x² | x^9

_ x | x | x^8

_ x | 1 | x^7

There is no factor which can reduce both further simultaneously, Hence the G. C. F = (x * x) = x²

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Please give a good explanation and show your work as well

Vadim26 [7]

Answer:

A) down

B) x intercept (5, 0)

y intercept (0, 80)

C) 144 ft

Step-by-step explanation:

y = Ax² + Bx + C

y = -16x² + 64x + 80

Parabola opens down because A is negative

x intercept (5, 0)

x = (-64 ±√(64² - 4(-16)(80))) / (2(-16))

x = -1 which means if the profile is continuous, the balloon launched one hour ago.

x = 5 which means the balloon will be on the ground in 5 hours.

(assuming level ground or no wind at all.

y intercept

y = -16(0)² + 64(0) + 80

y = 80 ft

meaning the balloon is already 80 feet above the ground when we start looking at t = 0

Maximum altitude will occur when the vertical velocity is zero. Velocity is the derivative of position.

x' = -32x + 64

0 = -32x + 64

32x = 64

x = 2 hrs

y = -16(2)² + 64(2) + 80

y = 144 ft

4 0

3 years ago

Faith is tracking the number of burpees she does at a constant rate. Last

bija089 [108]

This is a unit rate question. We can solve this in chronological order of steps:

Step 1: Write out the beginning for the first unit rate.

Faith completed 60 burpees in 5 minutes last week.

Step 2: Since 60 burpees were completed in 5 minutes, we can divide 60 by 5 to find how many burpees were completed in 1 minute.

60 divided by 5 equals 12.
5 divided by 5 equals 1.

Our fraction for how many burpees Faith did in a minute last week is 12/1. This reduces to 12, meaning that Faith did 12 burpees last week.

Step 3: Find the unit rate for this week.

Faith completed 78 burpees in 6 minutes this week. Because of this, we can divide 78 by 6 to find how many burpees Faith completed this week.

78 divided by 6 equals 13.
6 divided by 6 equals 1.

Our final fraction for how many completed burpees Faith did this week is 13/1, which reduces to 13. Therefore, Faith completed 13 burpees per minute this week.

Your final answer: In terms of separate values, Faith completed 12 burpees per minute last week and 13 burpees per minute this week. If you need help, let me know and I will gladly assist you.

6 0

2 years ago

The segment joining the two legs of a trapezoid is called

mel-nik [20]

Answer:

Base

Step-by-step explanation:

The segment joining the two legs of a trapezoid is called base

7 0

3 years ago

Read 2 more answers

Please answer all of them with a clear answer

balu736 [363]

See below for the solution to the questions

<h3>The parallel side of the trapezoid</h3>

The given parameters are:

Area = 138

a = 4x - 1

b = x - 4

Height = 12

The area is calculated as:

Area = 0.5 * (a + b) * height

So, we have:

0.5 *(4x - 1 + x - 4) * 12 = 138

This gives

5x - 5 = 23

Add 5 to both sides

5x = 28

Divide by 5

x = 5.6

Recall that:

a = 4x - 1 = 4 * 5.6 - 1 = 21.4

b = x - 4 = 5.6 - 4 = 1.6

Hence, the short base length is 1.6 meters and the long base length is 21.4 meters

<h3>The largest angle in the triangle</h3>

The sides are given as:

x = 22

y = 24

z = 25

The largest angle always opposite the largest side.

This means that the largest angle is Z

<h3>The Circumference</h3>

The radius is given as:

r = 29

The circumference is calculated as:

$C = 2\pi r$

So, we have:

$C = 2\pi *29$

Evaluate

C = 182.21

Hence, the circumference is 182.21 inches

<h3>Measure of angle from arc</h3>

The measure of the arc is given as:

$\theta = 69^o$

The angle LIK is calculated as:

$m\angle LIK = \frac{\theta}2$

So, we have:

$m\angle LIK = \frac{69^o}2$

Evaluate the quotient

$m\angle LIK = 34.5^o$

Hence, the measure of the angle is $m\angle LIK = 34.5^o$

What is the GCF of x2 and x9?​

What is the GCF of x2 and x9?