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Makovka662 [10]

3 years ago

8

The critical points of a rational inequality are x = –4 and x = 2. Which set of points can be tested to solve the inequality?

2 answers:

Alexxandr [17]3 years ago

7 0

-5, 0, 3
You need to test a point at each interval

RoseWind [281]3 years ago

3 0

answer:

C. x = –5, x = 0, and x = 3

hope this helps! :o)

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1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilatera

Aleksandr [31]

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

$SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}$

$SP \approx 8.246$

$PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}$

$PA \approx 8.246$

$AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}$

$AZ \approx 8.246$

$ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}$

$ZS \approx 8.246$

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

$m_{SA} = \frac{6-(-4)}{6-(-4)}$

$m_{SA} = 1$

$m_{PZ} = \frac{4-(-2)}{-2-4}$

$m_{PZ} = -1$

Since $m_{SA}\cdot m_{PZ} = -1$ , diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

$M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)$

$M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)$

$M_{SA} = (-2,-2)+(3,3)$

$M_{SA} = (1,1)$

$M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)$

$M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)$

$M_{PZ} = (2,-1)+(-1,2)$

$M_{PZ} = (1,1)$

Then, the diagonals SA and PZ bisect each other.

8 0

2 years ago

• Lawson already has $60 in his wallet but needs a total of at least $500 for his holiday. He gets

nalin [4]

Answer:

15

Step-by-step explanation:

500-60=440

440/30=14.66666667

simplify 14.66666667= 15

4 0

3 years ago

PLEASE HELP!!!!!! IM HORRIBLE AT MATH

lianna [129]

Im bad at math too! we can be horrible at math together

6 0

3 years ago

What is the value of y in the equation 2(3y-4)=10

Bingel [31]

$2(3y-4)=10\ \ \ |divide\ both\ sides\ by\ 2\\\\\frac{2(3y-4)}{2}=\frac{10}{2}\\\\3y-4=5\ \ \ \ \ |add\ 4\ to\ both\ sides\\\\3y=9\ \ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{y=3}$

4 0

3 years ago

Read 2 more answers

What is 76.47 15% of.

gavmur [86]

76.47% of 15 is 11.47 you just multiply 76.47 x 15

8 0

3 years ago