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dlinn [17]
3 years ago
12

Solve the following system of equations: x − 2y = 5 2x − 4y = 10

Mathematics
1 answer:
emmasim [6.3K]3 years ago
5 0
\left\{\begin{array}{ccc}x-2y=5\\2x-4y=10&|divide\ both\ sides\ by\ (-2)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x-2y=5\\-x+2y=-5\end{array}\right}\\.\ \ \ \ \ \ \ \ \ \ \ 0=0-true\\\\Answer:infinitely\ many\ solutions\    \left\{\begin{array}{ccc}x\in\mathbb{R}\\y=\dfrac{x-5}{2}\end{array}\right
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Question 1 of 9
dimaraw [331]

Answer:

B

Step-by-step explanation:

The zeros ( where the graph crosses the x- axis ) are x = 2 and x = 6

The corresponding factors are (x - 2) and (x - 6) and the equation is the product of the factors, so

y = (x - 2)(x - 6) ←  expand using Foil

y = x² - 8x + 12 → B

3 0
3 years ago
You download 12 new songs to your MP3 player. Then you delete 5 old songs. Write each amount as an integer.
Lapatulllka [165]

Answer:

the new ones and the old ones that you didn’t delete

Step-by-step explanation:

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3 years ago
Help Are the triangles similar? If so, determine the scale factor of ΔPQR to ΔEFD.
alex41 [277]
The answer is B. 
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8 0
3 years ago
A triangular prism is shown below. the base of the prism is a right triangle.
Nimfa-mama [501]
The product is 60.

We start out with the information we have.  This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30.  Using the Pythagorean theorem we have

x²+24²=30²
x²+576=900

Subtract 576 from both sides:
x²+576-576 = 900-576
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Take the square root of each side:
√x²=√324
x=18

We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:

720=(1/2*18*24)y
720=216y

Divide both sides by 216:
720/216 = 216y/216
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This means the product of x and y would be:
18(3 1/3)
18(10/3)
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6 0
3 years ago
Simplify completely quantity 8 x minus 16 over quantity x squared minus 13 x plus 22 and find the restrictions on the variable
hichkok12 [17]

Answer:

1

Step-by-step explanation:

6 0
3 years ago
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