Answer:
<h3>p(+)q=SQR(p^2+q^2)</h3>
8(+)6=SQR(8^2+6^2)
SQR(64+36)
SQR(100)
=10
Step-by-step explanation:
p + Q is equal to square root of p square + Q Square
sqr means square root
(9m - 6)7
Distribute 7 to both sides
63m - 42
Add 42 to get 63m by itself
63m = 42
Divide both sides by 63
m = 42/63 or simplified, 2/3
Answer:
x = 4 is the solution
Step-by-step explanation:
given = x ( square both sides )
x + 12 = x² ( rearrange into standard form )
x² - x - 12 = 0 ← in standard form
(x - 4 )(x + 3 ) = 0 ← in factored form
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 3 = 0 ⇒ x = - 3
Insert these values into the original equation, and if both sides are equal, and those are the solutions.
x = 4 : = = 4 = x ← correct
x = - 3 : = = 3 ≠ - 3 ← false
the answer is x = 4
Answer:
4.8
Step-by-step explanation:
JK is twice as long as LM, so is 4.8 units long.
"Similar" means the sides of one figure have the same ratio as the corresponding sides of the other figure. We see that AB = 2×CD. JK corresponds to AB, and LM corresponds to CD.
__
We could bother to calculate that sides of JKLM are 1.2 times as long as the corresponding sides of ABCD, but that is not necessary. We only need to find a convenient ratio between the side we want and some other known side. I like a ratio of 2, because it is easy to double a number. We find AB=2CD, so JK=2LM=2×2.4 = 4.8.
9) 24 pounds = 10.89 kilograms
1 pound is equal to 0.45359237 kilograms. To convert pounds to kilograms, simply multiply the pounds by 0.45359237
10) 7 gallons = 26.5 liters
1 US Gallon is equal to 3.785 liters. To convert gallons into liters, simply multiply the gallons by 3.785
