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shusha [124]
2 years ago
14

9

Mathematics
1 answer:
Artist 52 [7]2 years ago
7 0

Answer:

Read explain

Step-by-step explanation:

The steps taken to solve this system of equations would first be:

1. Sub 4x-2 into your first equation, 2x+5(4x-2)= 12 ->

2. Solve/simplify this equation to get x=1

3. Sub x=1 into your second equation and solve for y = 2

4. Get the solution (1,2)

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Which equation matches the graph shown below?
MrRa [10]
Given that the graph shows tha the functión at x = 0 is below the y-axis, the constant term of the function has to be negative. This leaves us two possibilities:

y = 8x^2 + 2x - 5 and y = 2x^2 + 8x - 5

To try to discard one of them, let us use the vertex, which is at x = -2.

With y = 8x^2 + 2x - 5, you get y = 8(-2)^2 + 2(-2) - 5 = 32 - 4 - 5 = 23 , which is not the y-coordinate of the vertex of the curve of the graph.

Test the other equation, y = 2x^2 + 8x - 5 = 2(-2)^2 + 8(-2) - 5 = 8 - 16 - 5 = -13, which is exactly the y-coordinate of the function graphed.

Then, the answer is 2x^2 + 8x  -5
8 0
3 years ago
If a heptagon has an area of 105 in2, what is the measure of one side ?
kumpel [21]

Answer:

5.38 inches

Step-by-step explanation:

The formula for Area of an Heptagon

= A=7/4a²cot(180°/7)

Area = 105in²

Side a = ?

The formula for Side a

= √4A ×tan (180°/7)/7

= √4 × 105 × tan (180°/7) /7

= 5.37536 inches

Approximately = 5.38 inches.

4 0
2 years ago
1. Find the volume of the rectangular prism
oee [108]

Step-by-step explanation:

The answer of the question number 1 is b

The answer of the question number 2 is also c

The answer of the question number 3 is b

The answer of the question number 4 is a

3 0
2 years ago
Read 2 more answers
Geometry question for homework.
mars1129 [50]

So remember that the distance formula is \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} .

1.

\sqrt{(4-4)^2+(-2-(-5))^2}\\ \sqrt{0^2+3^2}\\ \sqrt{0+9}\\ \sqrt{9}\\ 3

Distance between (4,-5) and (4,-2) is 3 units.

2.

\sqrt{(1-(-1))^2+(1-4)^2}\\ \sqrt{2^2+(-3)^2}\\ \sqrt{4+9}\\ \sqrt{13}

Distance between (1,1) and (-1,4) is √13 (or 3.61 rounded to the hundreths) units.

3 0
3 years ago
. The circumference of Earth’s moon is about 1,091,500,000 cm. Write this number in scientific notation. *
kondaur [170]

1.0915 x 10{9} <----Exponet

7 0
3 years ago
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