Answer:
Step-by-step explanation:
Let the ages be r and m
<u>We have:</u>
<u>Substitute m in the second equation and solve for r:</u>
- m = 117 - r
- 5r = 9 + 3( 117 - r)
- 5r = 9 + 351 - 3r
- 5r + 3r = 360
- 8r = 360
- r = 360/8
- r = 45
<u>Then m is</u>
Complete question :
Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3
Answer: 3 + (−9) = −6, because −6 is 9 units to the left of 3
Step-by-step explanation:
Given the following :
Width of number line = - 10 to + 10
Point K on the number line = +3 ( kelvin's score after the first round of quiz).
If Kelvin losses 9 points in round 2 = - 9
Hence at the end of round 2, He'll have a total of :
Point at the end of round 1 + point lost in round 2
3 + (-9) = - 6
(-2,18):(8,38) Set them equal to each other you get, x^2-6x-16=0, you can factor to get, (x-8)(x+2) to get solutions 8,2 for the x values then plug in for y values.
Answer:

Step-by-step explanation:
We need to find an expression that is equivalent to 14:56.
So,

So, the equivalent expression of the given expression is
.
Recall the Laplace transform of a second-order derivative,

and the transform of cosine,

Here, both
, so taking the transform of both sides of

gives

