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3 years ago

What is the solution to the inequality? −4x−8>−20

Mathematics

1 answer:

Sliva [168]3 years ago

4 0

<span>−4x−8>−20
Add 8 to both sides
-4x>-12
Divide both sides by -4
Final Answer: x<3</span>

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A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (–3, 1), (1, 1), and (1, –2). What

vladimir2022 [97]

Answer:

The perimeter of the triangle is $12\ units$

Step-by-step explanation:

Let

$A(-3,1),B(1,1),C(1,-2)$

we know that

The perimeter of triangle is equal to

$P=AB+BC+AC$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

$A(-3,1),B(1,1)$

substitute in the formula

$AB=\sqrt{(1-1)^{2}+(1+3)^{2}}$

$AB=\sqrt{(0)^{2}+(4)^{2}}$

$AB=4\ units$

step 2

Find the distance BC

$B(1,1),C(1,-2)$

substitute in the formula

$BC=\sqrt{(-2-1)^{2}+(1-1)^{2}}$

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

$BC=3\ units$

step 3

Find the distance AC

$A(-3,1),C(1,-2)$

substitute in the formula

$AC=\sqrt{(-2-1)^{2}+(1+3)^{2}}$

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

$AC=5\ units$

step 4

Find the perimeter

$P=AB+BC+AC$

substitute the values

$P=4+3+5=12\ units$

6 0

3 years ago

I need help asapp...

prohojiy [21]

The value of b is -16 and the value of ac is 60 after comparing with the standard equation.

<h3>What is a quadratic equation?</h3>

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

We have a quadratic function:

= 3x² - 16x + 20

On comparing with standard function:

b = -16

a = 3

c = 20

ac = 3(20) = 60

Thus, the value of b is -16 and the value of ac is 60 after comparing with the standard equation.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

3 0

1 year ago

Which ordered pair is a solution to the system?

almond37 [142]

Answer:

I think it is C 8,-4

Step-by-step explanation:

I think

8 0

2 years ago

2.) Is (-1, 2) a solution to this system of equations?<br> 1-x+2y = 3<br> 12x - y - 4

gizmo_the_mogwai [7]

Answer:

12x-y-4

Step-by-step explanation:

3 0

2 years ago

PLEASE ANWSER nnbbbcnjbcm

MArishka [77]

Answer:

I dont really know how to do this, but I think you have to multiply

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers