Answer:
The equation that goes through this set of points is y = -x + 5
Step-by-step explanation:
In order to find this, we need to start by finding the slope. For that we use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (6 - -2)/(-1 - 3)
m = 4/-4
m = -1
Now that we have this, we can use the slope and a point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 6 = -1(x - -1)
y - 6 = -1(x + 1)
y - 6 = -x - 1
y = -x + 5
Putting the two numbers together in fraction form of a ratio, we have 76/19. We know that something multiplied by 19 will equal to 76.
When we try to multiply 4 and 19 together, we have our nice answer 76. We then replace out values in the original ratio, in which we get the final answer of 4:1, 4/1, or 4 to 1.
Answer: 8√3
<u>Step-by-step explanation:</u>
ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b. So,
VW = b
XW = b√3
XV = 2b
Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,
24 = b√3
= b
= b
= b
8√3 = b
We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3
Answer:
r=4
Step-by-step explanation:
<span>So there
are 33 boys who tried out for track. And this is 27.5 % of the total boys. And there
15% of the girls who tried out for the track. And in total 22.5 % of the total
population tried out for track</span>
