Answer:
exact form : x
= ±
√
118
−
6
Decimal form : x
= 4.86278049 or −
16.86278049
Step-by-step explanation:
Use the formula (
b
/2
)
^2 in order to create a new term. Solve for x by using this term to complete the square.
Answer:
The length of the hypotenuse is 2 square root of 13 ⇒ c
Step-by-step explanation:
The rule of the area of the right triangle is A =
× leg1 × leg2, where
leg1 and leg2 are the sides of the right angle
∵ The area of a right triangle is 12 in²
∵ The ratio of the length of its legs is 2: 3
→ Let leg1 = 2x and leg2 = 3x
∵ leg1 = 2x and leg2 = 3x
→ Substitute them in the rule of the area above
∴ 12 =
× 2x × 3x
∵ 2x × 3x = 6x²
∴ 12 =
× 6x²
∴ 12 = 3x²
→ Divide both sides by 3 to find x²
∴ 4 = x²
→ Take √ for both sides
∴ x = 2
→ Substitute x in the expressions of leg1 and leg2 to find them
∴ leg1 = 2(2) = 4 inches
∴ leg2 = 3(2) = 6 inches
∵ hypotenuse =
∴ hypotenuse = 
∵ The simplest form of
= 2
∴ The length of the hypotenuse = 2
inches
Add all of the hours together than divide by 5 should get 40
Answer:
x=1 or -1/2
Step-by-step explanation:
The value of x is 1 or -1/2
Answer:


Step-by-step explanation:
Given




Required
The number of each coin
The total coins can be represented as:


So, the worth of the coin is:

The equations to solve are:


Make d the subject in: 

Substitute
in 


Collect like terms


Solve for q


Substitute
in 


So:

