What is the equation of a line that is parallel to the line x=14 and contains the point (-3,7)?

Answers

Answer 1

Answer:

Answer:

x = -3

Step-by-step explanation:

The line x=14 is a vertical line. The line you want must also be a vertical line. In order for it to go through the given point, the constant in the equation must match the x-coordinate of the point: -3.

x = constant . . . . equation of a vertical line

x = -3 . . . . . . . . . . equation of your vertical line

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Which of the following is a solution of x2 − 10x = –36? negative 5 minus i square root of 10 5 plus i square root of 61 negative 5 minus i square root of 11 5 plus i square root of 11

Complete the equation of the line through ( − 8 , 8 ) and ( 1 ,− 10 ). Use exact numbers.

Answers

$(\stackrel{x_1}{-8}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-10}) \n\n\n \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-10}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{(-8)}}} \implies \cfrac{ -18 }{1 +8} \implies \cfrac{ -18 }{ 9 } \implies -2$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\n \cline{1-1} \n y-y_1=m(x-x_1) \n\n \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-8)}) \implies y -8 = -2 ( x +8) \n\n\n y-8=-2x-16\implies {\Large \begin{array}{llll} y=-2x-8 \end{array}}$

Answer:

y = - 2x - 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = $(y_(2)-y_(1) )/(x_(2)-x_(1) )$

let (x₁, y₁ ) = (- 8, 8 ) and (x₂, y₂ ) = (1, - 10 )

substitute these values into the formula for m

m = $(-10-8)/(1-(-8))$ = $(-18)/(1+8)$ = $(-18)/(9)$ = - 2 , then

y = - 2x + c ← is the partial equation

to find c , substitute either of the 2 points into the partial equation

using (- 8, 8 )

8 = - 2(- 8) + c = 16 + c ( subtract 16 from both sides )

- 8 = c

y = - 2x - 8 ← equation of line

Four out of every five teenagers surveyed went to a movie theater in the past month. If 95 teenagers were surveyed, how many had gone to the movies in the past month?

Answers

Answer:

76 teenagers went to movies in the past month.

Step-by-step explanation:

The number of teens who went to movie out of every 5 teens = 4

Total teens surveyed = 95

Let, out of 95 teenagers , the teens who went to movie = m

So, the ratio of people who went : who were surveyed = 4: 5

Now, BY THE LAW OF RATIO AND PROPORTIONALITY

$(4)/(5) = (m)/(95)$

or, $m = (95 * 4)/(5) = ( 380)/(5) = 76$

So, m = 76

⇒ 76 teenagers went to movies in the past month.

If the circumference of a circle is approximately 113 yards, about how long is the radius? (Use 3.14 for π .)

Answers

Hi there! R=C/2π=113/2*π=17.98451 yds. Therefore, the answer is 17.98 yd

Answer:

no it is actually 18 i got it wright

Solve the inequality 0 > –3x – 2x. A. x > –36
B. x > 1
C. x > 0
D. x > –28

Answers

Answer:

Option C is correct.

Step-by-step explanation:

Given Inequality,

0 > -3x - 2x

To Find: Solution of the inequality.

Consider,

0 > -3x - 2x

Group like terms in RHS

0 > ( -3 - 2 )x

0 > -5x

transpose RHS to LHS and LHS to RHS

-5x < 0

Divide both sides by -5

we know that in inequality multiplying and dividing negative number sign of inequality changes.

So,

x > 0/(-5)

x > 0

Therefore, Option C is correct.

0 > -3x - 2x...combine like terms
0 > - 5x ....divide both sides by -5
0/-5 < x
0 < x or x > 0

What is the answer

Answers

line r is parallel because they don’t intersect

8 4/9 + 5 3/8 = Please explain.

Answers

Ok, so first of all... You've got to get the same numerator. What's a number that 9 and 8 both share? Hmm... How about 72? So then, 9 would be multiplied by 8 and 8 by 9. And so do the denominators. So, your new fraction would be : 8 32/72 + 5 27/72 which equals 13 59/72 The addition part is actually pretty easy. Just add the whole numbers like a normal addition problem and add the denominators to the denominators and the numerator stays the same. Your final answer should be 13 59/72. Hope this helped!

Find the common denominators within the fractions. So take 4/9 and times the top and bottom by 8 to get 32/72 and 5/8 and times top and bottom by 9 so 45/72. So you will then have 8 32/72 + 5 45/72. Then plus them together. 13 77/72 which equals 14 5/72.

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