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Ray Of Light [21]
3 years ago
9

Which two lines are perpendicular?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

A

2x−6y=−12

Step-by-step explanation:

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Solve the system of equations by the addition method <br> { 5x-y=-3<br> { 4x+3y=-48
Svetach [21]

Answer:

(-3,-12)

Step-by-step explanation:

Multiply the first equation by three to match the second equations y-term

  • 3(5x-y=-3)
  • 4x+3y=-48

  • 15x-3y=-9
  • 4x+3y=-48

The y-terms cancel out

  • 15x=-9
  • 4x=-48

Add the x-terms with each other and the terms after the equal sign as well

  • 19x=-57

Divide -57 by 19

  • x=-3

Input your x-term (-3) into one of the two first equations and multiply

Either:

  • 5(-3)-y=-3 or
  • 4(-3)+3y=-48

  • -15-y=-3 or
  • -12+3y=-48

Simplify your terms

  • -y=12
  • 3y=-36

Divide

  • y=-12
  • y=-12
4 0
3 years ago
Help me solve 10 and 11 Please. And show your work
Vaselesa [24]
I'm sorry idk how to do it
5 0
3 years ago
A boat is heading towards a lighthouse, whose beacon-light is 136 feet above the
alexandr1967 [171]

The distance between the points A to B is 899.9 feet. After rounding off the  nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

The distance between CD is 139 feet.

As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

BD = CD/tan19°

BD = 136/tan 19°

now for tan 6° = CD/AD (tangent is opposite over adjacent)

AD = CD/tan 6°

AD = 136/tan 6°

AB = AD ₋ BD

AB = 136/tan 6° ₋ 136/tan 19°

AB = 1295.2 ₋ 395.3

AB = 900 feet

hence the distance from point A to B is 900 feet.

Learn more about Heights and distances here:

brainly.com/question/2004882

#SPJ9

5 0
1 year ago
What is 86.436 ÷ 12 show your work <br> 34.86 ÷ 4 show your work<br> 5.7 ÷ 15 show your work
liq [111]
86.436 divided by 12 equals 7.203. 34.86 divided by 4 equals 8.715. 5.87 divided by 15 equals 0.38.
8 0
3 years ago
Read 2 more answers
1. For the function f(x) = x2, Find the slope of the secant line joining (1,f(1)) and
goblinko [34]

The slope of the line connecting two points (<em>a</em>, <em>b</em>) and (<em>c</em>, <em>d</em>) is

(<em>d</em> - <em>b</em>) / (<em>c</em> - <em>a</em>)

i.e. the change in the <em>y</em>-coordinate divided by the change in the <em>x</em>-coordinate. For a function <em>y</em> = <em>f(x)</em>, this slope is the slope of the secant line connecting the two points (<em>a</em>, <em>f(a)</em> ) and (<em>c</em>, <em>f(c)</em> ), and has a value of

(<em>f(c)</em> - <em>f(a)</em> ) / (<em>c</em> - <em>a</em>)

Here, we have

<em>f(x)</em> = <em>x</em> ²

so that

<em>f</em> (1) = 1² = 1

<em>f</em> (1.01) = 1.01² = 1.0201

Then the slope of the secant line is

(1.0201 - 1) / (1.01 - 1) = 0.0201 / 0.01 = 2.01

3 0
3 years ago
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