You combined the x’s together then u wanna move all the x’s to one side then after that you would want to do the opposite of -7, so then you add 7 to 10 and then you would divide everything by 2 and get x=8.5

4 0

3 years ago

Carpenters use a tool called a speed square to help them mark right angles . A speed square is a right triangle

Ronch [10]

Answer:

A. $Area = \frac{1}{2}(2x^2 - 2x - 24)$

B. $Area = 3.75 in^2$

Step-by-step explanation:

A. $Area = \frac{1}{2}bh$

Where,

$b = 2x + 6$

$h = x - 4$

Plug in the values to get a polynomial that represents the area of the tool

$Area = \frac{1}{2}(2x + 6)(x - 4)$

$Area = \frac{1}{2}(2x(x - 4) + 6(x - 4)$

$Area = \frac{1}{2}(2x^2 - 8x + 6x - 24)$

$Area = \frac{1}{2}(2x^2 - 2x - 24)$

B. To find area, when x = 4.5 in, plug in the value of x into the equation for the area of the tool.

$Area = \frac{1}{2}(2(4.5)2 - 2(4.5) - 24)$

$Area = \frac{1}{2}(2(20.25) - 9 - 24)$

$Area = \frac{1}{2}(40.5 - 9 - 24)$

$Area = \frac{1}{2}(7.5)$

$Area = 3.75 in^2$

8 0

4 years ago

1. Kyle and John are twins who decided to plan an imaginary trip that started with cliff jumping. There were two different spots

Vikki [24]

Answer:

a) Δx = -35ft

b) Δx = -25ft

c) Kyle traveled 10ft more than John

Step-by-step explanation:

We define a coordinate reference system() in which y = 0 corresponds to the water surface.

a) The initial position of Kyle in our coordinate reference system is:

$x_{o} = 20 ft$

and his final position is:

$x_{f} = -15 ft$

Therefore, he traveled

Δx = $x_{f} - x_{o} = -15 - 20 = -35 ft$

b) The initial position of John in our coordinate reference system is:

$x_{o} = 15 ft$

and his final position is:

$x_{f} = -10 ft$

Therefore, he traveled

Δx = $x_{f} - x_{o} = -10 - 15 = -25 ft$

c) Then, Kyle traveled 10ft more than John

6 0

3 years ago

Katie wants to know how much she needs to deposit into a two year CD account in order to earn $100 in simple interest. The accou

sergey [27]

Answer:

To obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.

Step-by-step explanation:

Given that Katie wants to know how much she needs to deposit into a two year CD account in order to earn $ 100 in simple interest, knowing that the account currently has a 1.5% interest rate, the following calculation must be performed:

X x 0.015 = 100

X = 100 / 0.015

X = 6,666.66

6,666.66 x 1.015 = 6,766.66

Thus, to obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.

7 0

3 years ago