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3 years ago

Solve the equation. -11=1+3r+3

Mathematics

1 answer:

luda_lava [24]3 years ago

7 0

Answer:

r = -5

Step-by-step explanation:

-11 = 1+3r+3

-11 = 3r + 4

3r = -15

r = -5

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PLS HELP ILL GIVE BRAINLIEST

inysia [295]

<h3>Answer: 14x - 8</h3>

=======================================================

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

a = 12
b = -11
c = -5

This leads to...

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}$

Now use those roots to form these steps

$x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0$

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

----------------------------------------------

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

L = length = 4x-5
W = width = 3x+1

The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

6 0

2 years ago

A pyramid has a square base. The base edge is one-half of the height of the pyramid. If the base edge is 6 units, what is the vo

3241004551 [841]

Answer:

144 units. Hope this helps!

4 0

2 years ago

Choose the correct proportions.

cestrela7 [59]

Answer:

Options A, B and C are CORRECT PROPORTIONS

Step-by-step explanation:

Option A

3:5 = 6:10

The LHS must equal the RHS

3:5 is in it's lowest term.

6/10 will be in it's lowest term by dividing the numerator and denominator by 2.

6/10 = 3/5

Option B

3/6 and 5/10.

Diving 3/6 fractions by 3

= 1/2

Dividing 5/10 fraction by 5

= 1/2

Option C

Dividing 6/3 by 3 = 2

Dividing 10/5 by 5 = 2

Thats how you work through equivalent proportional fractions

6 0

3 years ago

Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4 centime

Semmy [17]

Answer:

B. The area of the base of the pyramid, B, is 24 centimeters squared.

C. A rectangular prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters will have 3 times volume of this pyramid.

Step-by-step explanation:

Given a rectangular pyramid with:

Height=9 cm

Base Dimensions = 4 centimeters by 6 centimeters

Base Area B=4 X 6 =24 Square cm.

Therefore, Option B (The area of the base of the pyramid, B, is 24 centimeters squared) is correct.

Volume of a pyramid = $\frac{1}{3} $ X Base Area X Height$

$=\frac{1}{3} X 24X9=72 cm^3$

Volume of a Prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters

=Base Area X Height

=24 X 9

$=216 cm^3$

Now, 216/72=3

Therefore, A rectangular prism with the same dimensions will have 3 times volume of this pyramid

Therefore, <u>Option C is correct.</u>

6 0

3 years ago

Read 2 more answers

Hector records his reading times in a journal. His two reading times are 33.56 min and 41.98 min. Liam records his reading times

hjlf

33.56 plus 41.98 = 75.54(total reading time for Hector)

31.61 plus 42.08= 73.69(total reading time of Liam)

75.54 minus 73.69= 1.85 more reading time than Liam

ANSWER:Hector read for 1.85 more minutes than Liam

6 0

2 years ago