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wel
3 years ago
12

Which of the following is the solution to | X-13 |< 18 ?

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer:

A. x<31 and x > -5

Step-by-step explanation:

| X-13 |< 18

Seperate into 2 equations, one positive and one negative, remembering to flip the inequality for the negative

x-13 < 18    and x -13 > -18

Add 13 to each side

x-13+13 < 18+13    and x-13+13> -18+13

x < 31 and x>-5

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What is an equation of the line that passes through the point (-6,7) and is perpendicular to the line
Temka [501]

The equation of line perpendicular to given line through (-6,7) is:

y=\frac{1}{6}x+8

Further explanation:

Given equation of line is:

6x+y=3\\y= -6x+3

The co-efficient of x is the slope of given line.

Let m1 be the slope of given line

and

m2 be the slope of line perpendicular to given line

Then

m_1=-6

Product of slopes of perpendicular lines is -1

m_1*m_2 = -1\\-6*m_2=-1\\m_2=\frac{-1}{-6}\\m_2=\frac{1}6}

The equation of new line can be written as:

y=m_2x+b\\

Putting m2

y=\frac{1}{6}x+b

To find the value of b, we will put (-6,7) in equation

7=\frac{1}{6}(-6)+b\\7=-1+b\\b=7+1\\b=8

Putting the values of b and m in general equation

y=\frac{1}{6}x+8

Keywords: Slope, Point-slope form, perpendicular lines

Learn more about perpendicular lines at:

  • brainly.com/question/12941985
  • brainly.com/question/4152194

#LearnwithBrainly

5 0
3 years ago
Answer correctly , will mark brainliest answer !!!!
Darya [45]

Answer:

width : x+4

Step-by-step explanation:

(x+9)(x+4) = x^2+4x+9x+36

x^2+13x+36

think of numbers that multiply together to get 36

and of those number, what numbers add up to 13

9 times 4 equals 36

9 plus 4 equals 13

3 0
3 years ago
Find the sum of (3 – 4i) and (6 + 7i)
Ivanshal [37]

Answer:-(3-4i) and -(6+7i)

Step-by-step explanation: To find the complex conjugate, negate the term with i.

7 0
3 years ago
What is a symbol that is used to represent a number
Vera_Pavlovna [14]
The symbol used to represent a number is called a variable.
6 0
3 years ago
Urgent! A lot of points!
solmaris [256]
Using the red diamond, the light blue triangle, the green circle, and the yellow diamond, the equation can be best answered like this: y = (10/9)x + 55

I drew a line through those points, and I landed on 55 on y-axis
I then used Rise/Run to calculate the slope. The yellow diamond is (71.5, 70) so starting at (58, 55), I go up 15 units and ended at (58, 70).
I then went 13.5 units to the right and ended at (71.5, 70)

Since we went up 15 and 13.5 to the right, we divide 15 by 13.5 and get (10/9) as the answer.

(10/9) is our slope and 55 is our y-intercept so we plug in the numbers into the equation and get the answer: y = (10/9)x + 55

This is the best answer I could get.
6 0
3 years ago
Read 2 more answers
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