1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bogdanovich [222]
3 years ago
10

Tell whether the lines through the given points are parallel, perpendicular, or neither.

Mathematics
1 answer:
antoniya [11.8K]3 years ago
5 0

Answer:

The Slope of Line 1 is ->  -\frac{2}{9}

The Slope of Line 2 is -> -\frac{9}{2}

These two lines are - >  Perpendicular

Step-by-step explanation:

To find the slope of line one, you follow these steps:

First Coordinate 10 -> x1, 5 -> y1

Second Coordinate -8 -> x2, 9 -> y2

Then insert the assigned values into this equation:  \frac{y2-y1}{x2-x1} -> \frac{9-5}{-8-10} which equals \frac{4}{-18} which simplifies to -\frac{2}{9}

Then do the same process to find the slop of line 2:

First Coord: 2 -> x1, -4 -> y1

Second Coord: 11 -> x2, -6 -> y2

Then insert the values into this equation: \frac{y2-y1}{x2-x1}  ->\frac{11-2}{-6-(-4)} which equals \frac{9}{-2}.

We know the lines are perpendicular by:

a. Typing the equations of the lines into a graphing calculator and observing the graph

b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.

Hope this helps!

You might be interested in
• Malik spent $30 at the
laiz [17]

Answer:

30=25.50+X

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Why is 3-48+30+15 = 0 please give detailed explanation
andrezito [222]

Answer:

0

Step-by-step explanation:

When dealing with an equation that only involves addition and subtraction ...you can solve it juat as it is witout using any special method same applied to equations tht involve only multiplication and division ... because they are an (inverse) of each other... hope it helps

7 0
2 years ago
Read 2 more answers
Simone invests 1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. At
Allisa [31]

Answer: He invested $350 at 4% and $850 at 5.9%

Step-by-step explanation:

Let x represent the amount which he invested in the account earning 4% interest.

Let y represent the amount which he invested in the account earning 5.9% interest.

Simone invests 1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. This means that

x + y = 1200

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account earning 4% interest,

P = $x

T = 1 year

R = 4℅

I = (x × 4 × 1)/100 = 0.04x

Considering the account earning 5.9% interest,

P = $y

T = 1 year

R = 5.9℅

I = (y × 5.9 × 1)/100 = 0.059y

At the end of 1 year, Simon earned 64.15 in interest. it means that

0.04x + 0.059y = 64.15 - - - - - - - - -1

Substituting x = 1200 - y into equation 1, it becomes

0.04(1200 - y) + 0.059y = 64.15

48 - 0.04y + 0.059y = 64.15

- 0.04y + 0.059y = 64.15 - 48

0.019y = 16.15

y = 16.15/0.019

y = 850

x = 1200 - y = 1200 - 850

x = 350

7 0
3 years ago
X – 6y - 9 = 0 x = 8y + 6 What is a resulting equation?
serious [3.7K]

Answer:

-2y + 3 = 0

Step-by-step explanation:

x - 6y - 9 = 0

-6y - 9 = -x                          subtract x from both sides

6y + 9 = x                            divide both sides by -1

x = 8y + 6

6y + 9 = 8y + 6                    replace x with 6y + 9

-2y + 9 = 6                           subtract 8y from both sides

-2y + 3 = 0                            subtract 6 from both sides

3 0
3 years ago
Which of the following is equivalent to the radical expression below? 5^8*13
Bezzdna [24]

Answer:

(d) 5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}

Step-by-step explanation:

Given

5^{8.13}

Required

Select an equivalent expression

5^{8.13}

Simplify the power

5^{8.13} = 5^{8 + 0.1 + 0.03}

Apply law of indices:

5^{8.13} = 5^{8} * 5^{0.1} * 5^{0.03}

Express decimal as fractions

5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}

5 0
3 years ago
Other questions:
  • José correctly answered 80% of the questions on a language arts quiz. If he answered 16 questions correctly, how many questions
    5·2 answers
  • If cardboard costs $0.05 per square inch, how much would it cost to make a box with a surface area of 384 sq inch? How would you
    15·2 answers
  • Find 1/6 · 4 · 1/-3 9 · (-1/-2) · 5
    5·1 answer
  • What's the equation to find the midpoint of a right triangle?
    15·1 answer
  • Isabella wants a coat that cost $60. She has saved 42. What fraction of the amount she needs has she saved?
    12·2 answers
  • Please help!!!<br> Due Monday (tomorrow)
    10·1 answer
  • Can someone please help me in finding the area of this shape? (Also, this is the whole question, I didn't cut anything out)
    15·2 answers
  • Mary’s bedroom rug is shown below. Find the perimeter and area of the rug.
    15·1 answer
  • PLEASE I DESPERATELY NEED HELP WITHH THIS!!!!!!! I’ll give brainless and extra points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·1 answer
  • 100 POINT AND BRAINERLEST PROMISE
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!