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4 years ago

Finding area and perimeter A square with sides of length 21m.

1 answer:

4 0

Answer: P = 84m and A = 441m^2

Explanation:

Find Perimeter:

Form: P = 4a
But a = 21m

=> P = 4 x 21
=> P = 84m

Find Area:

Form: A = a • a
But a = 21m

=> A = 21 • 21
=> A = 441m^2

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What is the length of line ED?

oee [108]

Answer:

ED = 8

Step-by-step explanation:

2x+4 = (3/2)x+6

2x = (3/2)x+2

(1/2)x = 2

x = 4

ED = 4+4 = 8

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3 years ago

The endpoints of the diameter of a circle are (-12, 7) and (3, 15). What is the length of the diameter?

seraphim [82]

Answer: 17

Step-by-step explanation:

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3 years ago

Estimate the solution to the system of equations.

LUCKY_DIMON [66]

Hey there! I'm happy to help!

Since we are using graphs, we will do not need to algebraically solve this system of equations.

When you graph a system of equations, the solution is always the point at which the two lines intersect.

Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3

Have a wonderful day! :D

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3 years ago

The answer to this equation

12345 [234]

Answer:

x=3

Step-by-step explanation:

We are given the equation

$log5x=log(2x+9)$

This can be rewritten as

$log5x-log(2x+9)=0$

Now using the quotient rule for logarithms we can combine these two

$log(\frac{5x}{2x+9} )=0$

Next we can remove the log by using an inverse operation

$10^{log(\frac{5x}{2x+9} )} =10^0\\\\\frac{5x}{2x+9}=1$

Now we can solve for x

$\frac{5x}{2x+9}=1\\\\5x=2x+9\\\\3x=9\\\\x=3$

4 0

4 years ago

When tolls on the Dulles Airport Greenway were reduced from $2.25 to $1.50, traffic increased from 18,000 to 20,000 trips a day.

BaLLatris [955]

Answer:

The price elasticity demand for the Dulles Airport Greenway = -0.33

Step-by-step explanation:

Price elasticity of demand is the ratio of how much the quantity of good demanded changes compared to the original demand divided by the change in price compared to the original price of the good.

Mathematically,

Price elasticity of demand = (ΔQ/Q) ÷ (ΔP/P)

ΔQ = Change in quantity demanded = 20000 - 18000 = 2000

Q = initial quantity demanded = 18,000

ΔP = Change in price = 1.5 - 2.25 = -$0.75

P = Original price = $2.25

price elasticity of demand

= (2000/18000) ÷ (-0.75/2.25)

= - 0.3333

Hope this Helps!!!

8 0

3 years ago