Answer:
Step-by-step explanation:
a. To solve for "y" you want to isolate the variable. What this means is you want to keep "y" on its own. To do this first we will subtract 2x from the equation making 4y = 36 - 2x. Next, we will get rid of 4 to do this divide 4 from both sides. y = (36 - 2x)/4
*I have to go in a bit so sry for no explenation*
b. h = 2a/b
c. x = 1/4y + -3/4
Answer:
15
Step-by-step explanation:
5:22=15:66, simply multiply 3 in the right hand side
Answer:
p = - 5, p = - 1
Step-by-step explanation:
Given
-
= 
Multiply through by the LCM of (p - 5)(p + 3)
3p(p + 3) - 2(p - 5) = p(p - 5) ← distribute parenthesis
3p² + 9p - 2p + 10 = p² - 5p
3p² + 7p + 10 = p² - 5p ( subtract p² - 5p from both sides )
2p² + 12p + 10 = 0 ← divide through by 2
p² + 6p + 5 = 0 ← in standard form
(p + 1)(p + 5) = 0 ← in factored form
Equate each factor to zero and solve for p
p + 1 = 0 ⇒ p = - 1
p + 5 = 0 ⇒ p = - 5
Answer:
this is pythagorus theorem
the height is 7,2
the distance is d
d^2 = 5^2 + 4^2
hope this helps
Fun, geometry disguised as probability.
That's a pentagon, which we can view as 10 right triangles with legs a and s/2 (half of s) and hypotenuse r. So area of the pentagon is
P = 10 × (1/2) a (s/2) = 10 (1/2) (3.2) (4.7/2) = 37.6
The area of the circle is πr² so the circle area is
C = π (4²) = 50.265482
The white area is the difference, C-P, and the probability we seek is the fraction of the circle that's white, so (C-P)/C.
p = (C-P)/C =1-P/C = 1-37.6/50.265482 = 0.251971
Answer: 0.25
Higher than I would have guessed from the figure.