The base of a triangle is represented by (2x − 6) and the height by (x − 2). Which polynomial expression BEST represents the area of the triangle?

Answers

Answer 1
Answer: Area of a triangle= (1)/(2) *base*height
A=(1)/(2) *(2x-6)*(x-2)
A=(1)/(2) ( 2x^(2) -4x-6x+12)
A=x^(2) -2x-3x+6
A=x^(2) -5x+6
Answer 2
Answer:

x2 - 5x + 6 is the answer. Hope this helps.


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Jean walked 1 mile to her friends house, and then bicycled for 2 hours at m miles per hour. Write an expression for the total length of her trip.

Answers

Jean walked 1 mile to her friends house, and then bicycled for 2 hours at m miles per hour. Write an expression for the total length of her trip.=(1+2m)miles

Use the number line​ below, where RS = 5y + 2, ST = 3y + 6, and RT = 48

Answers

RS+ST= RT

(7Y+3)+(2Y+9)= 14Y-8

9Y+12=14Y-8

5Y=20

Y=4

if the reserve rate is 7% and a bank receives a deposit of $9000, how much of the $9000 is the bank free to lend?

Answers

$8370 of the deposit money $9000 is the money the bank is free to lend given that the reserve rate is 7%. This is obtained by finding 7% of deposit money and subtracting the answer from the deposit money.

Calculate the money the bank is free to lend:

Given that, deposit = $9000

reserve rate = 7%

First we have to find 7% of $9000,

7% of $9000 = 7/100 × $9000

                      = $630

Money the bank is free to lend, $9000 - $630 = $8370

Hence $8370 of the deposit money $9000 is the money the bank is free to lend given that the reserve rate is 7%.

Learn more about reserve rate here:

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If the reserve rate is 7% and a bank receives a deposit of $9,000. How much of the $9,000 is the bank free to lend? $8,370

If y varies directly with x and x=4 when, y=20, find k, the constant of variation.

Answers

Direct variation means [ y = k x ]

Given . . . 20 = k 4

k = 20/4 = 5 .


PLEASE HELP ME FIGURE THIS OUT 1..

Answers

Answer: π/6

Step-by-step explanation:

sec θ = (2)/(√(3))

sec = (1)/(cos)

(1)/(cos) = (2)/(√(3))

⇒ cos θ = (√(3))/(2)

Since it is an acute angle, then 0° > θ > 90°

Look at the Unit Circle to find that cos θ = (√(3))/(2) at π/6

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Answer: -300°

Step-by-step explanation:

Set up the proportion:

(\pi )/(180) = \frac{-5\pi} {3x}

Cross multiply and solve:

π(3x) = 180(-5π)

   x = (180(-5\pi))/(3\pi)

   x = 60(-5)

   x = -300

Multiply and simplify square root of 3ab * square root of 6ab^3

NEED HELP FAST!!!!!!

Answers

√3ab · √6ab³
√18a²b⁴
3ab²√2