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3 years ago

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.

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

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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

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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.

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3 years ago

14) Solve for x: 4 + 2(x + 3x) = 4 - x(2 - 3) + 2x A) 0 B) 1 2 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

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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

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3 years ago

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

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