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2 years ago

What is the product of the polynomials below?

2 answers:

8 0

Hi there! The answer is C.

$(5 {x}^{2} + 5x + 7)(8x + 6) = \\ work \: out \: parenthesis \\ \\ 40 {x}^{3} + 30 {x}^{2} + 40 {x}^{2} + 30x + 56x + 42 = \\ collect \: terms \\ \\ 40 {x}^{3} + 70 {x}^{2} + 86x + 42$

drek231 [11]2 years ago

6 0

The answer is C

40x3 + 70x2 + 86x + 42

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Find the measure of the the sides of DEF then classify it by it sides. <br> D(8,-6) E(-1,-3) F(-2,5)

Mama L [17]

Answer:

Part a) The measure of the sides of triangle DEF are

$d_D_E=\sqrt{90}\ units$

$d_E_F=\sqrt{65}\ units$

$d_D_F=\sqrt{221}\ units$

Part b) Is a scalene triangle

Step-by-step explanation:

we know that

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

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

we have the coordinates

D(8,-6) E(-1,-3) F(-2,5)

step 1

Find the length side DE

D(8,-6) E(-1,-3)

substitute in the formula

$d=\sqrt{(-3+6)^{2}+(-1-8)^{2}}$

$d=\sqrt{(3)^{2}+(9)^{2}}$

$d_D_E=\sqrt{90}\ units$

step 2

Find the length side EF

E(-1,-3) F(-2,5)

substitute in the formula

$d=\sqrt{(5+3)^{2}+(-2+1)^{2}}$

$d=\sqrt{(8)^{2}+(-1)^{2}}$

$d_E_F=\sqrt{65}\ units$

step 3

Find the length side DF

D(8,-6) F(-2,5)

substitute in the formula

$d=\sqrt{(5+6)^{2}+(-2-8)^{2}}$

$d=\sqrt{(11)^{2}+(-10)^{2}}$

$d_D_F=\sqrt{221}\ units$

step 4

Classify the triangle by the measure of its sides

we have

$d_D_E=\sqrt{90}\ units$

$d_E_F=\sqrt{65}\ units$

$d_D_F=\sqrt{221}\ units$

Is a scalene triangle, because is a triangle in which all three sides have different lengths.

6 0

2 years ago

Brainliest question please help me now plz I need it

Alenkasestr [34]

Answer:

As shown in picture:

A(-4, 1)

Z(-2, 3)

P(3, -4)

The length of AZ is calculated by:

L = sqrt((-4 - -2)^2 + (1 - 3)^2) = 2.83

The length of AP is calculated by:

L = sqrt((3 - -4)^2 + (-4 - 1)^2) = 8.60

THe length of ZP is calculated by:

L = sqrt((3 - -2)^2 + (-4 - 3)^2) = 8.60

=>Perimeter of triangle AZP is calculated by:

P = AZ + AP + ZP = 2.83 + 8.60 + 8.60 = 20.3

Hope this helps!

7 0

2 years ago

$10,000 is compound quarterly at 12% interest for t years. What expression represent the amount of money after t years

exis [7]

X=10,000*1.12y that is the equation

5 0

2 years ago

Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distribut

defon

Answer:

0.8665 = 86.65% probability that the sample mean would be at least $39000

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .