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3 years ago

If a polynomial 3 X + - 15x 3 + 14x 2 + 2px - q is exactly divisible

Mathematics

1 answer:

rodikova [14]3 years ago

7 0

Answer:

Hello!

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The picture below has the correct answer

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Consider the line y = 7x-9.

KatRina [158]

$y = \frac{-1}{7}x -\frac{8}{7}$ is the equation of the line that is perpendicular to this line and passes through the point (6, -2)

y = 7x - 44 equation of the line that is parallel to this line and passes through the point (6, -2)

Solution:

Given that line is:

y = 7x - 9

The equation of line in slope intercept form is given as:

y = mx + b ------ eqn 1

Where, "m" is the slope of line and "b" is the y intercept

On comparing eqn 1 with y = 7x - 9 we get,

m = 7

<h3>Find the equation of the line that is perpendicular to this line and passes through the point (6, -2)</h3>

We know that,

Product of slope of a line and slope of line perpendicular to given is always -1

Therefore,

$7 \times \text{ slope of line perpendicular to it } = -1\\\\\text{ slope of line perpendicular to it } = \frac{-1}{7}$

Now find the equation of line:

$\text{ Substitute } m = \frac{-1}{7} \text{ and } (x, y) = (6, -2) \text{ in eqn 1}$

$-2 = \frac{-1}{7} \times 6 + b\\\\-2 = \frac{-6}{7} + b\\\\b = -2+\frac{6}{7}\\\\b = \frac{-14+6}{7}\\\\b = \frac{-8}{7}$

$\text{Substitute } m = \frac{-1}{7} \text{ and } b = \frac{-8}{7} \text{ in eqn 1}\\\\y = \frac{-1}{7}x -\frac{8}{7}$

Thus the equation of line perpendicular to given line is found

<h3>Find the equation of the line that is parallel to this line and passes through the point (6, -2)</h3>

Slopes of parallel lines are equal

Therefore, m = 7

Substitute m = 7 and (x, y) = (6, -2) in eqn 1

-2 = 7(6) + b

-2 = 42 + b

b = -44

Substitute m = 7 and b = -44 in eqn 1

y = 7x - 44

Thus equation of line parallel to given line is found

8 0

3 years ago

Im losing my sanity over this question please can someone help me lol

algol13

There are 5 sides in this shape.

(5-2)(180) = 540. There is 540 degrees in this shape.

111 + c + (c + 10) + 120 + 91 = 540

111 + 2c + 10 + 120 + 91 = 540

2c = 208

c = 104

answer: 104

4 0

2 years ago

Read 2 more answers

Factor the expression 11x + 55

Sphinxa [80]

The answer is 11(x+5)

7 0

3 years ago

Set up the problem, but use a calculator to find the number of outcomes for the permutation. Eight horses run a race. In how man

Damm [24]

<h3>Answer: 336</h3>

Explanation:

Label the slots A,B,C for first through third place.

There are 8 choices for slot A, 7 for slot B, and 6 for slot C. We start with 8 and count our way down until we get to the final slot. Then we multiply out those values

8*7*6 = 336

There are 336 ways to select three people from a pool of eight overall.

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

If you want to use the permutation formula, then your steps might look like this

$_n P _r = \frac{n!}{(n-r)!}\\\\_8 P _3 = \frac{8!}{(8-3)!}\\\\_8 P _3 = \frac{8!}{5!}\\\\_8 P _3 = \frac{8*7*6*5!}{5!}\\\\_8 P _3 = 8*7*6\\\\_8 P _3 = 336\\\\$

Note how the 5! terms cancel out on the second to last step, leaving behind the expression 8*7*6 which was found earlier.

8 0

3 years ago

The value of a classic car is given by

egoroff_w [7]

Answer:

the answer is c

Step-by-step explanation:

you add sub mult and divide it's math it's simple

3 0

3 years ago