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torisob [31]
3 years ago
11

Find the value of expression - 17x-19xpwer4 - 21x power 2,when x=3​

Mathematics
1 answer:
Marrrta [24]3 years ago
7 0

Answer:

-17x - 19x^4 - 21x^2 = -1779 when x = 3

Step-by-step explanation:

Given

-17x - 19x^4 - 21x^2

x = 3

Required

Solve

Substitute 3 for x in -17x - 19x^4 - 21x^2

-17x - 19x^4 - 21x^2 = -17*3 - 19*3^4 - 21*3^2

Evaluate all exponents

-17x - 19x^4 - 21x^2 = -17*3 - 19*81 - 21*9

-17x - 19x^4 - 21x^2 = -51 - 1539- 189

-17x - 19x^4 - 21x^2 = -1779

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Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.
slega [8]

Answers:

Line A is parallel to line D.

Line A is perpendicular to line C.

Line C is perpendicular to line D.

=====================================================

Explanation:

Let's use the slope formula to calculate the slope of the line through (-1,-17) and (3,11)

(x_1,y_1) = (-1,-17) \text{ and } (x_2,y_2)  = (3,11)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{11 - (-17)}{3 - (-1)}\\\\m = \frac{11 + 17}{3 + 1}\\\\m = \frac{28}{4}\\\\m = 7\\\\

The slope of line A is 7

-------------

Now let's find the slope of line B.

(x_1,y_1) = (0,4) \text{ and } (x_2,y_2)  = (7,-5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-5 - 4}{7 - 0}\\\\m = -\frac{9}{7}\\\\

-------------

Now onto line C.

(x_1,y_1) = (7,1) \text{ and } (x_2,y_2)  = (0,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 1}{0 - 7}\\\\m = \frac{1}{-7}\\\\m = -\frac{1}{7}\\\\

-------------

Lastly we have line D.

(x_1,y_1) = (-1,-6) \text{ and } (x_2,y_2)  = (1,8)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{8 - (-6)}{1 - (-1)}\\\\m = \frac{8 + 6}{1 + 1}\\\\m = \frac{14}{2}\\\\m = 7\\\\

------------------------------

Here's a summary of the slopes we found

\begin{array}{|c|c|} \cline{1-2}\text{Line} & \text{Slope}\\\cline{1-2}\text{A} & 7\\\cline{1-2}\text{B} & -9/7\\\cline{1-2}\text{C} & -1/7\\\cline{1-2}\text{D} & 7\\\cline{1-2}\end{array}

Recall that parallel lines have equal slopes, but different y intercepts. This fact makes Line A parallel to line D.

Lines A and C are perpendicular to one another, because the slopes 7 and -1/7 multiply to -1. In other words, -1/7 is the negative reciprocal of 7, and vice versa. These two lines form a 90 degree angle.

Lines C and D are perpendicular for the same reasoning as the previous paragraph.

Line B unfortunately is neither parallel nor perpendicular to any of the other lines mentioned.

You can use a graphing tool like Desmos or GeoGebra to verify these answers.

6 0
1 year ago
4(5f + 9)
Marina86 [1]

Answer: hopes this helps i spent a lot of time on it !!!:)lol

2 0 + 3 6

− 8 − 1 2

2 0 + 1 0

1 0 ℎ − 1 5

− 1 2 − 1 4

5 6 − 6 3

8 − 1 8

− 8 + 1 2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Jose an airline pilot, flies 1,350 miles a day.how many miles will he fly in 8 days?
AURORKA [14]
10,800 :) 8 multiplied by 1,350 would give you 10,800 miles.
6 0
3 years ago
14) Solve for x:<br> 4 + 2(x + 3x) = 4 - x(2 - 3) + 2x<br> A) 0<br> B) 1<br> 2<br> D) 3
tester [92]

answer;

x=0

Step-by-step explanation:

4 + 2 (x + 3x) = 4 - x(2-3) + 2x

let remove d brackets

4 + 2x + 6x = 4 - 2x + 3x + 2x

llet collect like terms

2x + 6x - 3x -2x + 2x = 4-4

5x = 0

x = 0

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2 years ago
Angles A and B are corresponding angles. The measure of A is 135°. What is the measure of B?
KiRa [710]

Answer:

135 degrees

Step-by-step explanation:

corresponding angles are angles that are equal to each other

6 0
2 years ago
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