Answer:
x^2 + y^2 = 12
Step-by-step explanation:
For a circle with the center at the origin [(h,k) is (0,0)]
use the formula:
x^2 + y^2 = r^2
In this case r is 2sqroot3.
(2sqroot3)^2 is 12.
2•2•sqrt3•sqrt3
= 4•3
= 12
So we get,
x^2 + y^2 = 12
Answer:
x = 1 and y = 5
Step-by-step explanation:
Use substitution because you know that x = y - 4, and plug this into the first equation to get -10(y - 4) + 3y = 5, or -10y + 40 + 3y = 5. This is -7y = -35 so y = 5. Plug this into the 2nd equation to get that x = 1 and y = 5.
<u>Answer:</u>
5x = 100°
4x = 80°
<u>Step-by-step explanation:</u>
We are given a diagram with a straight line AC being intersected by another line BD and we are to find the two mentioned angles.
We know that the two angles (5x° and 4x°) are supplementary so their sum would be equal to 180°.
So we can write it as:




Finding the measure of both the angles:
100°
80°
5/7 +1/3
find the common denominator for both of the fractions
common denominator is 21
mutiply by 3 for 5/7
(5)(3)/(7/(3)= 15/21
mutiply by 7 for 1/3
(1)(7)/(3)(7)= 7/21
15/21+7/21
add the numerators
15+7= 22
denominator stays the same -21
Answer:
22/21 or 1 1/21
Answer:
Step-by-step explanation:
Discrete Variables can meaningfully have only specific values:
Number of coin flips: 4.
Number of books published: 2.
Distance walked, rounded to the nearest kilometer: 3
(Must be rounded up or down)