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Leokris [45]
3 years ago
9

Find the coordinates of Cif B(5,-4) is the midpoint of AC and A has coordinates of (7,3).

Mathematics
1 answer:
olga_2 [115]3 years ago
7 0
C(3,-11)
(I have to use up extra room or else it won’t submit)

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Angelique is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for t
marusya05 [52]

Answer:

A)  both functions are linear

B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000

C) House 2 will value $106894.4 more than house 1.

Step-by-step explanation:

A) Value Increase from year 1 to year 2:

House 1: 193,606.40 - 186,160 = 7446.4

House 2: 201,000 - 190,000 = 11000

Value Increase from year 2 to year 3:

House 1: 201,350.66 - 193,606.40 = 7744.26

House 2: 212,000 - 201,000 = 11000  

This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.

B) The slope is the same as the value increment from one year to the next one.

slope (m) of House 1: 7446.4

slope (m) of House 2: 11000

General formula of a line:

f(x) = mx+b

Replacing with a known point:

<u>House 1</u>

186,160 = 7446.4(1) + b

b = 186,160 - 7446.4 = 178713.6

equation: f(x) = 7446.4x + 178713.6

<u>House 2</u>

190,000 = 11000(1) + b

b = 190,000 - 11000 = 179000

equation: f(x) = 11000x + 179000

C) Replacing x = 30 into each equaiton:

<u>Value of House 1 after 30 years</u>

f(x) = 7446.4(30) + 178713.6 = 402105.6

<u>Value of House 2 after 30 years</u>

f(30) = 11000(30) + 179000 = 509000

Then, house 2 will value 509000 - 402105.6 = $106894.4  more than house 1.

8 0
3 years ago
Solve this equation for x 2/3(x-7=-2
densk [106]
X=4 and if you need the work i have it too
hope this helps
4 0
3 years ago
Read 2 more answers
A rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water. If 850 cu
makkiz [27]

The new height of the water is = 9.34 inches (approx)

Step-by-step explanation:

Given, a rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water.

Let the new height of water level be x inches.

The volume of the container = (20×16×12) cubic inches

                                               =3840  cubic inches

According to the problem,

3840 - (20×16×x) = 850

⇔3840 -320x = 850

⇔-320x =850-3840

⇔-320 x = -2990

\Leftrightarrow x =\frac{2990}{320}

⇔x = 9.34 inches

The new height of the water is = 9.34 inches (approx)

5 0
3 years ago
One of the acute angles of a right triangle is 36° find the other acute angles​
Phantasy [73]

Step-by-step explanation:

An acute angle is an angle less or equal to 90 degrees.

let the other angle be x.

x + 36 = 90

grouping like terms

X = 90 - 36

X = 54 degrees

7 0
2 years ago
Read 2 more answers
Evaluate the expression for t = –2.<br><br> t2 + 21t − 56 =
Keith_Richards [23]

Answer:

-94

Step-by-step explanation:

t² + 21t - 56

(-2)² + 21(-2) - 56

4 - 42 - 56

-38 - 56

-94

Best of Luck!

4 0
3 years ago
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