Answer:
No
Step-by-step explanation:
The equation of a circle with center (a,b) and radius r is given as:
If a given point (x,y) does not lie on this circle, it will not satisfy its equation.
This means the distance from the point to the center is not equal to the radius.
It is either less or greater than the radius.
Hence you cannot write the equation of the circle.
80
<span>Using the rule of 3, 60x100% =6000(obviously) and 6000/75 = 80</span>
Answer:
400 meters
Step-by-step explanation:
We are told in the question that:
Jake runs the 100-meter dash in
track.
Erika runs a race 400% the distance of Jake's race.
Hence, the length of
Erika's race is calculated as:
400% × 100 - meter
= 4 × 100- meter
= 400 meters
Therefore, Erika's race was 400 meters long.
First square both sides to get:
c + 22 = (c + 2)^2
or
c + 22 = c^2 + 4c + 4
Move the terms on the left side to the right side:
c^2 + 3c - 18 = 0
Factor to get:
(c + 6) * (c - 3) = 0.
The solutions are c = -6 and c = 3.
Check to see if these answers work by plugging them into the original equation:
c = -6:
sqrt (-6 + 22) ?= -6 + 2
But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.
c = 3:
sqrt (3 + 22) ?= 3 + 2
5 = 5. So, 3 works.
The answer is: B
P = 2l + 2w
Subtract both sides by 2w
P - 2w = 2l
Divide both sides by 2
(P - 2w) / 2 = l
In our problem,
w = 7 in
P = 42 in
Let's plug our values into the formula above.
(42 in - 2(7 in) / 2 = l
(42 in - 14 in) / 2 = l
28 / 2 = l
14 in = length
