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Firdavs [7]
3 years ago
6

Rectangle ABCD has a perimeter represented by the expression 9x + 3. Rectangle PQRS has a

Mathematics
1 answer:
9966 [12]3 years ago
8 0

Answer:

D. 3x + 1

Step-by-step explanation:

Perimeter of Rectangle ABCD = 9x + 3

Perimeter of Rectangle PQRS = 6x + 2

Difference between perimeter of Rectangle ABCD and Perimeter of Rectangle PQRS:

(9x + 3) - (6x + 2)

Open Parentheses

9x + 3 - 6x - 2

Collect like terms

9x - 6x + 3 - 2

3x + 1

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Answer question 11 for me.
Lina20 [59]

Answer:

that they both are 20

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A unit vector lies in the xy plane, at an angle of 137 degrees from the x axis, with a positive y component. What is the unit ve
Fed [463]

Answer: ( -0.731,  0.682)

Step-by-step explanation:

The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.

Knowing the angle, is really simple to do it.

First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:

x = R*cos(A)

y = R*sin(A)

And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°

x = 1*cos(137°) = -0.731

y = 1*sin(137°) = 0.682

Then the unit vector is: ( -0.731,  0.682)

8 0
3 years ago
You are traveling to Chicago for a job interview. You leave Toledo, Ohio, at 5:45 A.M. and arrive in Elkhart, Indiana, at 8:15 A
baherus [9]
The minimum speed will be calculated as follows:
Time taken from Toledo to Elkhart=(8.15-5.45)=2 1/2 hours
Distance=136 miles
thus the speed between Toledo and Elkhart= 136 miles/2.5=54.4 mph

Distance between Toledo and Chicago is 244 miles
Distance between Elkhart and Chicago=244-136=108 miles
time taken to travel between Elkhart and Chicago assuming that I left Elkhart at exactly 8:15 and reach at 10.30:
=10:30-8:15=2.25 hours
thus the speed will be:
speed=(108)/(2.25)=48 mph
Thus for us to get to Chicago by 10:30 a.m we should drive at 48 mph
 

4 0
3 years ago
How to graph y=-3x+15
steposvetlana [31]

Answer:

Well first you put the y-intercept on the graph. In this case it would be 15

So graph the point (0,15)

The you do the slope which is 3

so you always do rise over run for slope.

If 3 were a fraction it would be 3/1 so go up 3 points and the go right 1 point from (0,15)

hope this helps .-.

3 0
3 years ago
Which equation is equivalent to the equation x^2+y^2= 25?
satela [25.4K]

9514 1404 393

Answer:

  D.  y = ±√(25 -x²)

Step-by-step explanation:

Subtract x² and take the square root to solve for y.

  x² +y² = 25 . . . . . . . given

  y² = 25 -x² . . . . . . . . subtract x²

  y = ±√(25 -x²) . . . . . take the square root

3 0
2 years ago
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