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3 years ago

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4x(3x – 7) – 19x2 Simplify the expression above?

1 answer:

Varvara68 [4.7K]3 years ago

8 0

this is the simplified answer:

-7x *(x+4)

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Can anyone please help with these 2 questions. If you can, please show step-by-step.

valentinak56 [21]

Answer:

1. x = 21

2. m∡ABC = 51°

Step-by-step explanation:

First problem, solve for x

the sum of inside angles of a triangle is 180

also the supplementary angle for L = 180 - 100 is 80°

now you can add all angles

80 + 2x - 11 + 2x + 27 = 180

4x + 96 = 180

4x = 84

x = 21

Second problem, solve for m∡ABC

the sum of inside angles of a triangle is 180

also the supplementary angle for C = 180 - 148 is 32°

now you can add all angles

31 + 2x - 15 + x - 5 = 180

3x + 12 = 180

3x = 168

x= 56,

now solve for m∡ABC = (x - 5)° = (56 - 5)° = 51°

8 0

3 years ago

Read 2 more answers

yarga [219]

- 3/5x + 15 > 720
- 3/5x > 705
X < -423

5 0

3 years ago

Jenny wants to rent struck for one day she contacted two companies Laguna truck rentals charges $20 plus $2 per mile. Salvatore

Aleks04 [339]

Ok so lets work our way up to see when the price will be the same so..luguna charges $20 plus $2 per mile and Salvatore cost 3 per mile so..

20+2=22+2=24+2=26+2=28+2=30+2=32+2=34+2=36+2=38+2=40+2=42+2=44+2=46+2=48+2=50+2=52+2=54+2

3+3=6+3=9+3=12+3=15+3=18+3=21+3=24+3=27+3=30+3=33+3+36+3=39+3=42+3=45+3+48+3=51+3=54 so it would take 18 miles hope this helped

3 0

3 years ago

Andrei [34K]

Answer:

$radius = \sqrt{13}$ or $radius = 3.61$

Step-by-step explanation:

Given

Points:

A(-3,2) and B(-2,3)

Required

Determine the radius of the circle

First, we have to determine the center of the circle;

Since the circle has its center on the x axis; the coordinates of the center is;

$Center = (x,0)$

Next is to determine the value of x through the formula of radius;

$radius = \sqrt{(x_1 - x)^2 + (y_1 - y)^2} = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}$

Considering the given points

$A(x_1,y_1) = A(-3,2)$

$B(x_2,y_2) = B(-2,3)$

$Center(x,y) =Center (x,0)$

Substitute values for $x,y,x_1,y_1,x_2,y_2$ in the above formula

We have:

$\sqrt{(-3 - x)^2 + (2 - 0)^2} = \sqrt{(-2 - x)^2 + (3 - 0)^2}$

Evaluate the brackets

$\sqrt{(-(3 + x))^2 + 2^2} = \sqrt{(-(2 + x))^2 + 3 ^2}$

$\sqrt{(-(3 + x))^2 + 4} = \sqrt{(-(2 + x))^2 + 9}$

Eva;uate all squares

$\sqrt{(-(3 + x))(-(3 + x)) + 4} = \sqrt{(-(2 + x))(-(2 + x)) + 9}$

$\sqrt{(3 + x)(3 + x) + 4} = \sqrt{(2 + x)(2 + x) + 9}$

Take square of both sides

$(3 + x)(3 + x) + 4 = (2 + x)(2 + x) + 9$

Evaluate the brackets

$3(3 + x) +x(3 + x) + 4 = 2(2 + x) +x(2 + x) + 9$

$9 + 3x +3x + x^2 + 4 = 4 + 2x +2x + x^2 + 9$

$9 + 6x + x^2 + 4 = 4 + 4x + x^2 + 9$

Collect Like Terms

$6x -4x + x^2 -x^2 = 4 -4 + 9 - 9$

$2x = 0$

Divide both sides by 2

$x = 0$

This implies the the center of the circle is

$Center = (x,0)$

Substitute 0 for x

$Center = (0,0)$

Substitute 0 for x and y in any of the radius formula

$radius = \sqrt{(x_1 - 0)^2 + (y_1 - 0)^2}$

$radius = \sqrt{(x_1)^2 + (y_1)^2}$

Considering that we used x1 and y1;

In this case we have that; $A(x_1,y_1) = A(-3,2)$

Substitute -3 for x1 and 2 for y1

$radius = \sqrt{(-3)^2 + (2)^2}$

$radius = \sqrt{13}$

$radius = 3.61$ ---<em>Approximated</em>

7 0

3 years ago

If 5 candy bars cost 3$ how much would 8 cost

pantera1 [17]

Step-by-step explanation:

5candy cost 3$

1 candy cost =5/3=1.66$

8 candy cost= 8×1.66 =13.33$

<h2>stay safe healthy and happy...</h2>

3 0

3 years ago

Read 2 more answers