Answer:
sqrt 11
Step-by-step explanation:
Pythagorean theorem again. a^2+b^2=c^2. The hypotenuse is the c value. One of the legs is either a or b, doesn't matter which. So you can make the equation 5^2+b^2=6^2. 25+b^2=36. Subtract 25 from each side to isolate the b variable. You're left with b^2=11. Now you take the square root of each side to get b. This makes b= sqrt 11.
First. distribute and multiply the the 4 to the 3^2 and the -5
so then it becomes 21+ 36 - 20
second. add and subtract that
answer is: 37
Answer: Joe's weekly allowance = $12
Step-by-step explanation:
Joe spent half of his weekly allowance playing mini-golf
Let a = his weekly allowance
This means Joe spent a/2 playing mini-golf.
To earn money, his parents let him weed the garden for $6
This means Joe's total money
= a + 6
What is his weekly allowance if he ended with $12?
This means he had $12 left after spending a/2 from ta total of (a +6)
Therefore,
(a +6) -a/2 = 12
Taking LCM of 2
[2(a+6)-a]/2=12
Cross multiplying by 2
2a + 12-a = 24
a+12 =24
a = 24-12 =$12
Joe's weekly allowance = $12
Answer:
Correct answer: (x - 10)² + y² = 441 / 4
Step-by-step explanation:
Given:
(a, b) = (10, 0) the coordinates of the center of the circle
(10, 21/2) circle passing through this point
The standard form of the circle equation is:
(x - a)² + (y - b)² = r² where r is radius of the circle
We will replace the given coordinates of the center of the circle and the point it passes through to get the radius of the circle:
(10 - 10)² + (21/2)² = r² ⇒ r² = (21/2)² = 441 / 4
r² = 441 / 4
(x - 10)² + y² = 441 / 4
God is with you!!!
