Factor the expression completely by first taking out a common factor<br> 3x^2 + 27x +24

A(-2,3)

Anika [276]

Answer:

The perimeter of triangle is 19.8 units

Step-by-step explanation:

we know that

The perimeter of triangle ABC is

$P=AB+BC+AC$

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

we have

$A(-2,3),B(3,0)$

substitute in the formula

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

$d=\sqrt{(-3)^{2}+(5)^{2}}$

$d_A_B=\sqrt{34}\ units$

step 2

Find the distance BC

we have

$B(3,0),C (-4,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(-4-3)^{2}}$

$d=\sqrt{(-3)^{2}+(-7)^{2}}$

$d_B_C=\sqrt{58}\ units$

step 3

Find the distance AC

we have

$A(-2,3),C (-4,-3)$

substitute in the formula

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

$d=\sqrt{(-6)^{2}+(-2)^{2}}$

$d_A_C=\sqrt{40}\ units$

step 4

Find the perimeter

$P=AB+BC+AC$

substitute the values

$P=\sqrt{34}+\sqrt{58}+\sqrt{40}$

$P=19.8\ units$

4 0

3 years ago

What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x < 2

NARA [144]

Given:

The inequalities are:

$-2$

$-2\leq x$

To find:

The integer values that satisfy both inequalities.

Solution:

We have,

$-2$

$-2\leq x$

For $-2$ , the possible integer values are

$x=-1,0,1,2$ ...(i)

For $-2\leq x$ , the possible integer values are

$x=-2,-1,0,1$ ...(ii)

The common values of x in (i) and (ii) are

$x=-1,0,1$

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.

6 0

3 years ago

-1/2 + 4/9

stira [4]

Answer:

-1/18

Step-by-step explanation:

First, you have to change both fractions to have like denominators. The LCM of 2 and 9 is 18.

Second, you have to multiply -1/2 by 9/9 to get a denominator of 18. -1/2 x 9/9 is - 9/18.

Third, you have to multiply 4/9 by 2/2 to get a denominator of 18. 4/9 x 2/2 = 8/18.

Fourth, -9/18 + 8/18 = -1/18

Hope this helps!

4 0

3 years ago

Can some one help me pls

Norma-Jean [14]

E. 5/15 since you multiply the numerator and denominator by 5.

D. 2/3 since you divide the numerator and denominator by 3.

W. 15/24 since you multiply the numerator and denominator by 3.

J. 4/5 since you divide the numerator and denominator by 5.

C. 48/54 since you multiply the numerator and denominator by 6.

G. 24/21 since you multiply the numerator and denominator by 3.

T. 27/36 since you multiply the numerator and denominator 3.

3 0

3 years ago

PLS HELP ME PLS I NEED TO DO THIS FOR EXTRA CREDITTT

Aleks04 [339]

Answer: Tables, graphes, and equation are realted because they all have the same information but just in diffrent ways. the advantage of a table is that you can see more information and what other possblities and fill in missing spots. graphes you can fid the equation on it by counting on it. The advantage of a equation is that you can solve it and get the answer the fastets

step-by-step explanation:

Hope this helps

5 0

3 years ago

Factor the expression completely by first taking out a common factor 3x^2 + 27x +24