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Lisa [10]
3 years ago
15

The lines below are parallel. If the green line has a slope of -1, what is the slope of the red line? Enter your answer as an in

teger or a fraction in lowest terms​

Mathematics
1 answer:
ololo11 [35]3 years ago
5 0

Answer:

The red line has a slope of -1

Step-by-step explanation:

This is because parallel lines have the same slope with a different y intercept.

If the green line's slope is -1 and it is parallel to the redline, they will have the same slope.

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Help Me! I suck with vectors.<br> Look at the attached pictures for the problem.
Westkost [7]

Multiplying a vector x by a constant k gives you a new vector whose components are the same as x, but scaled by k:

x=\langle x_1,x_2\rangle\implies x=\langle kx_1,kx_2\rangle

So we have

u=\langle5,-7\rangle\implies-6u=\langle-30,42\rangle

v=\langle-11,3\rangle\implies2v=\langle-22,6\rangle

Vector addition is just a matter of adding the corresponding components together:

x=\langle x_1,x_2\rangle,y=\langle y_1,y_2\rangle\implies x+y=\langle x_1+y_1,x_2+y_2\rangle

Then

2v-6u=\langle-22,6\rangle+\langle-30,42\rangle=\langle-22-30,6+42\rangle

\implies\boxed{2v-6u=\langle-52,48\rangle}

\|x\| denotes the norm/magnitude of the vector x:

x=\langle x_1,x_2\rangle\implies\|x\|=\sqrt{{x_1}^2+{x_2}^2}

We have

\|2v-6u\|=\sqrt{(-52)^2+48^2}=4\sqrt{313}

\implies\boxed{\|2v-6u\|\approx70.77}

7 0
4 years ago
Monique randomly surveyed 30 students from
Naily [24]

Answer:

522

Step-by-step explanation:

Find the percent of students in her class that have a dog or cat:

  1. Set up a proportion: \frac{18}{30} = \frac{x}{100}  
  2. Cross multiply, then divide: 18 × 100 = 1800, 1800 ÷ 30 = 60
  3. So, 60% have a dog or cat

Find 60% of the total amount of students in Monique's school:

  1. 60% of 870 = \frac{60}{100} × \frac{870}{1}  
  2. \frac{60}{100} × \frac{870}{1} = \frac{52200}{100}  
  3. \frac{52200}{100} = \frac{522}{1} = 522  

I hope this helps!

8 0
3 years ago
Lines has an equation of y + 3 = 2(x + 10). Parallel to line s is line t, which passes through the point (6, 7). What is the equ
Serhud [2]

Answer:

The answer to your question is:      y = 2x - 5  

Step-by-step explanation:

Data

                                    y + 3 = 2(x + 10)

Parallel to t

Point (6, 7)

Equation of line t = ?

Process

If they are parallel, then both lines have the same slope

slope = 2                    y + 3 = 2(x + 10)

Find the equation of t

                                 y  - 7 = 2(x - 6)

                                 y = 2x - 12 + 7

                                 y = 2x - 5       Equation in slope-intercept

3 0
3 years ago
Read 2 more answers
Evaluate x^4.x^2 when x=5
Neporo4naja [7]

Answer:

i got u fam!!!!!!!!!!!!!!!

its 15625

Step-by-step explanation:

4 0
3 years ago
Mary has $6,000 saved for her college education. She invested that money at 2.3% interest per year. Suppose her account earned i
igomit [66]

Answer:

Interest= $423.59

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $6,000

Number of periods (n)= 3 years

Interest rate (i)= 2.3% = 0.023

<u>To calculate the Future Value, we need to use the following formula:</u>

FV= PV*(1+i)^n

FV= 6,000*(1.023^3)

FV= $6,423.59

<u>Now, the interest earned:</u>

<u />

Interest= 6,423.59 - 6,000

Interest= $423.59

8 0
3 years ago
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