Factor
in form
ax²+bx+c form
use the ac method
1. mulitply a and c
2. factor the result such that the 2 factors add to b
3. split b into those 2 factors
4. group the terms
5. undistribute common factors
6. undistribute again
first multiply ac
4 times 5=20
now
what 2 numbers multiply to 20 and add to 12
2 and 10
4x²+2x+10x+5
group
(4x²+2x)+(10x+5)
undistribute
2x(2x+1)+5(2x+1)
undistribute the (2x+1)
(2x+1)(2x+5) is factored form whih you have there, nice
Answer:
a. 2,440 km
b. 
Step-by-step explanation:
a. Diameter of Mercury = 
Radius of Mercury = ½ of its diameter = 
Radius of Mercury = 
To convert the radius to ordinary number, multiply 2.44 by 1,000.
Radius of Mercury as an ordinary number = 
b. Mass of Jupiter = 
Mass of Saturn = 
Difference between mass of Jupiter and mass of Saturn =
(subtract 5.68 from 1.898 = 5.68. we would retain the largest exponent, which is raised to the lower of 27.)

Answer:
The simplified form of the given expression is 12(m -n).
Step-by-step explanation:
The given expression is

We need to simplify the given expression.
Rearrange the terms according to the variables.

On combining like terms, we get

On simplification, we get


Taking GCF common.

Therefore the simplified form of the given expression is 12(m -n).
Answer:
c = 5
Step-by-step explanation:
IT'S THE THREE FOUR FIVE TRIANGLE!!
3^2 + 4^2 = c^2
√25 = c
c = 5
Answer:
see explanation
Step-by-step explanation:
let pq = x
given oq - pq = 1 then oq = 1 + x
Using Pythagoras' identity, then
(oq)² = 7² + x²
(1 + x)² = 49 + x² ( expand left side )
1 + 2x + x² = 49 + x² ( subtract 1 from both sides )
2x + x² = 48 + x² ( subtract x² from both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ⇒ pq = 24
and oq = 1 + x = 1 + 24 = 25 ← hypotenuse
sinq =
= 
cosq =
= 