Answer:
Step-by-step explanation:
W is located at -2 and three on a coordinate plane, it means W (-2, 3)
- W is reflected over the X axis to create W1, we apply the rule: W(x, y) -->W1 (-x, y) => W1 ( 2, 3)
- W1 is been reflected over the Y axis to create W2, we apply the rule: W1(x ,y) --->W2 (x, -y) => W2 = (2, -3)
So the location of W2 on the plane is (2, -3)
Answer:
7 seconds.
Step-by-step explanation:
We have been given that the height of a flare fired from the deck of a ship in distress can be modeled by
, where h is the height of the flare above water and t is the time in seconds.
The ball will hit the ground, when height will be 0 meters, so we will equate
to find the time when ball will hit the ground as:

Using quadratic formula, we will get:







Since time cannot be negative, therefore, it will take 7 seconds for the flare to hit the ground.
Answer:
104 = 10,000 x 1.3 = 13,000
Step-by-step explanation:
step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 13,000
New Number: 1.3000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 1 . 3 0 0 0
Decimal Count: 1 2 3 4
There are 4 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 1.3 (Please notice any zeroes on the end have been removed)
b = 4
Now the whole thing:
1.3 x 104
Step 4
Check your work:
104 = 10,000 x 1.3 = 13,000
The value of angle a will be 33°.
It should be noted that when we've parallel lines, then the angles will be equal. In this case, the value of angle a will be equal to that of angle b and this will be:
5x + 8 = 8x - 7.
Collect like terms .
8x - 5x = 8 + 7
3x = 15
Divide both side by 3
3x/3 = 15/3
x = 5
Therefore, the value of angle a will be:
= 5x + 8
= 5(5) + 8
= 25° + 8°
= 33°
The measure of angle a is 33°.
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Answer:
0.08 minutes for a kilometer.
Step-by-step explanation:
If the track is 25 kilometers, and he runs 25 kilometers in 2 minutes, he runs a kilometer in 2÷25 minutes or 0.08 minutes which is 4.8 seconds.
I'm pretty sure the track isn't 25 kilometer or he can't run a lap in 2 minutes. But if so, the answer is 0.08 minutes.