Answer:
Step-by-step explanation:
Given
Passes through: 
Parallel to: 
Required
First, calculate the slope of the parallel line
Make y the subject
Divide through by 5
An equation in slope intercept has the form:
Where:
m = slope
So:
The required is parallel to .
This mean, the same slope
The equation is the calculated using:
This gives:
Take LCM
i.e.
Answer: The Horizontal line at 5
Step-by-step explanation: For Y to be a function, there cannot be different points on the same x value. The horizontal line is the only one that has one y value per x value.
Hope this helps!
<span>When you multiply a number by 10, 100, 1,000 and so forth, you move the decimal point to the right as many places as there are zeroes in the multiplier. When you’re multiplying, the order of the factors do not matter because you will still get the same answer. The law of grouping do not apply to multiplication.
The answers for the following numbers are:
a. 24.6 × 100 = 2,460
b. 37 × 1,000 = 3,700
c. 0.367 × 10,000 = 3,670
d. 0.005 × 100,000 = 500
</span><span>a. 973 × 80 = 77,840
b. 56 × 2,000 = 12,000
c. 5.7 × 300 = 1,710
d. 0.46 × 50 = 23</span><span>
</span>
Part of the value of sin(u) is cut off; I suspect it should be either sin(u) = -5/13 or sin(u) = -12/13, since (5, 12, 13) is a Pythagorean triple. I'll assume -5/13.
Expand the tan expression using the angle sum identities for sin and cos :
tan(u + v) = sin(u + v) / cos(u + v)
tan(u + v) = [sin(u) cos(v) + cos(u) sin(v)] / [cos(u) cos(v) - sin(u) sin(v)]
Since both u and v are in Quadrant III, we know that each of sin(u), cos(u), sin(v), and cos(v) are negative.
Recall that for all x,
cos²(x) + sin²(x) = 1
and it follows that
cos(u) = - √(1 - sin²(u)) = -12/13
sin(v) = - √(1 - cos²(v)) = -3/5
Then putting everything together, we have
tan(u + v)
= [(-5/13) • (-4/5) + (-12/13) • (-3/5)] / [(-12/13) • (-4/5) - (-5/13) • (-3/5)]
= 56/33
(or, if sin(u) = -12/13, then tan(u + v) = -63/16)
For part A just plug the numbers 2 through 5 for t for both function and see what numbers r the same and for part b it means that the two baseballs r gonna have the same height after t seconds
