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3 years ago

How can you show that two objects are proportional with an equation

Mathematics

1 answer:

GuDViN [60]3 years ago

5 0

You can use a plot diagram to plot the points and if they all go straight through the origin then it is proportional

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suppose an oblique rectangular pyramid has the same height, h, as a right pyramid, and that both bases have areas of 36. What is

FrozenT [24]

Volume of the oblique pyramid = Volume of the right pyramid = 36h

5 0

4 years ago

Read 2 more answers

Use synthetic division to find the quotient and remainder. Express your answer as a polynomial.

OLEGan [10]

1. 2x³ - 11x² + 13x - 21 ÷ x - 3

x - 3 = 0 ⇒ x = 3

3 | 2 -11 13 -21

| ↓ 6 -15 -6

2 -5 -2 -27

1. Answer: 2x² - 5x - 2 - $\frac{27}{x - 3}$

*************************************************************

2. 3x³ + 7x² - 13x + 10 ÷ x + 2

x + 2 = 0 ⇒ x = -2

-2 | 3 7 -13 10

| ↓ -6 -2 30

3 1 -15 40

2. Answer: 3x² + x - 15 + $\frac{40}{x + 2}$

3. 2x³ + 13x² - 21x + 9 ÷ x - 1

x - 1 = 0 ⇒ x = 1

1 | 2 13 -21 9

| ↓ 2 15 -6

2 15 -6 3

3. Answer: 2x² + 15x - 6 + $\frac{3}{x - 1}$

4. 7x³ + 0x² - 8x + 16 ÷ x - 2

x - 2 = 0 ⇒ x = 2

2 | 7 0 -8 16

| ↓ 14 28 40

7 14 20 56

4. Answer: 7x² + 14x + 20 + $\frac{56}{x - 2}$

5. 8x⁴ - 14x³ - 71x² - 10x + 24 ÷ x - 4

x - 4 = 0 ⇒ x = 4

4 | 8 -14 -71 -10 24

| ↓ 32 72 4 -24

8 18 1 -6 0

5. Answer: 8x³ + 18x² + x - 6

8 0

3 years ago

WILL MARK BRAINLIEST PLEASE HELP ASAP !!! Roberto is paid $11 an hour at his new job He wishes to graph his total pay T, as a fu

Oliga [24]

To best show this information, the scale for the T-axis of his graph should go from 0 to at least 11, and the h-axis of his graph should go from 0 to at least 40.

Apologies for any incorrect answer, hope this helped.

7 0

4 years ago

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Write the equation of a line that passes through (-3/2, -5) and perpendicular to a line that contains (-1, -2) and (-2, -8).

liraira [26]

Answer:

find gradient/slope

-8-(-5) / -2-(-1) = -3/-1

= 3

y=3x+c

perpendicular line formula

m1(m2)= -1

(sub in the gradient before)

3(m2)= -1

m2= -1/3 ( perpendicular line gradient)

y=-1/3x+c

(sub in the coordinate)

-5=-1/3(-3/2)+c

-5=1/2+c

-11/2=c (y intercept)

answer: y= -1/3x - 11/2

3 0

3 years ago

What is the fully factored form of 32a3 12a2? 4a2(8a 3) 4a(8a2 3a) 12a2(3a 1) 12a(3a2 a)

scZoUnD [109]

we have

$32a^{3}+12a^{2}$

Find the greatest Common Factor GCF

we know that

$32=2^{5} \\ Factors=1,2,4,8,16,32\\ \\ a^{3} \\ Factors=1,a,a^{2} ,a^{3} \\ \\ 12=2^{2} *3\\ Factors=1,2,3,4,6,12\\ \\ a^{2} \\ Factors=1,a,a^{2}$

The GCF is equal to $4a^{2}$

the fully factored form is equal to

$32a^{3}+ 12a^{2}=4a^{2}(8a+3)$

the answer is

$4a^{2}(8a+3)$

5 0

3 years ago

Read 2 more answers