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Art [367]
3 years ago
10

By which matrix should you multiply vector [1 3] to rotate it 180°?

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Rotation 180° is accomplished by negating both the x- and y-coordinates. That is, you multiply each of them by -1. You want the opposite of the identity matrix, so matrix B.

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Find the slope of the line that goes through the given points (8,5) (6,7)
vazorg [7]
To find the slope of a line that goes through given points with known coordinates, you divide the subtraction of the y of the second point minus the y of the first point, by the subtraction of the x of the second point minus the x of the first point:
m = (yB-yA) / (xB-xA)

Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
m = (7-5) / (6-8)
m = 2/-2
m = -1

So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.

I've added a pic of the line with both points under the answer.

Hope this Helps! :)

4 0
3 years ago
The school marching band has a budget of up to $750 to cover 15 new uniforms and
PolarNik [594]

a. The inequality 15x+300≤750 represents the situation.

b. It means that the band can spend at most $30 on each uniform without exceeding the budget.

Step-by-step explanation:

Given,

Budget = $750

Competition fee = $300

Uniforms to make = 15

Let,

x be the amount for each uniform.

a.  Write an inequality to represent this situation.

Uniforms to make * Cost per uniform + Competition ≤ Budget

15x+300 ≤ 750

The inequality 15x+300≤750 represents the situation.

b.  Solve the inequality and describe what it means in the situation.

15x+300\leq 750\\15x+300-300\leq 750-300\\15x\leq 450

Dividing both sides by 15

\frac{15x}{15}\leq \frac{450}{15}\\x\leq 30

It means that the band can spend at most $30 on each uniform without exceeding the budget.

Keywords: inequality, division

Learn more about inequality at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

3 0
3 years ago
What is the value of the expression below if y=5
Neko [114]

Answer:

25

Step-by-step explanation:

8*5=40

40+6=46

46-10=36

36-9=25

5 0
3 years ago
The inchworm moves 1/5 inch per hour. How far will the inchworm have moved after 6 hours?
melisa1 [442]

Answer: 1 1/5 inches.

Step-by-step explanation:

1/5 * 6

1/5 * 6/1

6/5 = 1 1/5

5 0
3 years ago
The area of greenland is 840,000 square miles. what is this number in scientific notation?
inna [77]
The answer is 8.4x10^5
7 0
3 years ago
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