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Aleksandr-060686 [28]
3 years ago
8

What is the image point of (5, -2) after a translation left 6 units and down 7 units?

Mathematics
1 answer:
myrzilka [38]3 years ago
8 0

Answer:

(-1,-9)

Step-by-step explanation:

(5,-2)

-5 -4 -3 -2 <em><u>-1</u></em> 0 1 2 3 4 <u>5</u>

starting at 5, move 6 units to the left, your new x-coordinate is -1

<u>-2</u>

-3

-4

-5

-6

-7

-8

<em><u>-9</u></em>

starting at -2, move 7 units down, your new y-coordinate is -9

The new point after the translation will be (-1,-9)

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5 0
3 years ago
A plane flew 360km in 3 hrs when flying with the wind.With no change in the wind,the return trip took 4 hrs.Find the speed of th
morpeh [17]
Speed of the plane: 250 mph
Speed of the wind: 50 mph
Explanation:
Let p = the speed of the plane
and w = the speed of the wind
It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. So we set up a system of equations.
600
m
i
3
h
r
=
p
−
w
600
m
i
2
h
r
=
p
+
w
Solving for the left sides we get:
200mph = p - w
300mph = p + w
Now solve for one variable in either equation. I'll solve for x in the first equation:
200mph = p - w
Add w to both sides:
p = 200mph + w
Now we can substitute the x that we found in the first equation into the second equation so we can solve for w:
300mph = (200mph + w) + w
Combine like terms:
300mph = 200mph + 2w
Subtract 200mph on both sides:
100mph = 2w
Divide by 2:
50mph = w
So the speed of the wind is 50mph.
Now plug the value we just found back in to either equation to find the speed of the plane, I'll plug it into the first equation:
200mph = p - 50mph
Add 50mph on both sides:
250mph = p
So the speed of the plane in still air is 250mph.
6 0
2 years ago
A rectangle has a length of 0.4m and a width of 5cm less than its length.what is the perimeter of the rectangle
Sliva [168]

Answer:

150cm

Step-by-step explanation:

0.4*100-5=35

(35+40)*2=150

6 0
2 years ago
Which equations results from adding the equations in this system?<br> x+6y=9<br> -x+2y=-15
UkoKoshka [18]

Answer:

8y = -6

Step-by-step explanation:

Simply add the equations as you would numbers.

The 'x's cancel each other out. The 'y's add together as normal numbers.

9 + (-15) = -6

Hope that this helps!

4 0
3 years ago
Celeste started a new job with $500 in her account. after 50 hours of work, she deposits her pay check and she has $1500.
vovikov84 [41]

Answer:

$20 per hour

Step-by-step explanation:

1500 - 500 = 1000

1000 divided by 50 = 20

To check:

20 x 50 = 1000

7 0
2 years ago
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