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Oksi-84 [34.3K]
3 years ago
10

- 33+ 5x=2x+21What's the answer to this? It's a variables on both sides problem​

Mathematics
1 answer:
romanna [79]3 years ago
7 0

Answer:

x=18

Step-by-step explanation:

you have to move the x term to one side of the equation

-33+5x=2x+21

add 33 to the right side of the equation, and then subtract 2x from the right.

5x-2x=21+33

3x=54

x=18

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Sam bought 8 pounds of rice for $5 . How many pounds of rice did he get per dollar? round to nearest hundredth
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3 years ago
The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?
OleMash [197]

Answer:

The equation of the parabola is y = -12\cdot x^{2}.

Step-by-step explanation:

Since the directrix is of the form y = a, the parabola is vertical. The vertex of the parabola (V(x,y)) is the midpoint between the focus (F(x,y)) and a point of the directrix (P(x,y)), that is to say:

V(x,y) = \frac{1}{2}\cdot F(x,y) + \frac{1}{2}\cdot P(x,y) (1)

If we know that F(x,y) = (0, -3) and P(x,y) = (0, 3), then the coordinates of the vertex of the parabola:

V(x,y) = \frac{1}{2}\cdot (0, -3) + \frac{1}{2}\cdot (0, 3)

V(x,y) = (0, 0)

The vertex factor (p) is the distance of the focus with respect to the vertex:

p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]} (2)

If we know that F(x,y) = (0, -3) and V(x,y) = (0, 0), then the vertex factor is:

p = \sqrt{0^{2}+(-3)^{2}}

p = -3

The equation of the parabola in the vertex form is described below:

y - k = 4\cdot p \cdot (x-h)^{2} (3)

Where:

x - Independent variable.

y - Dependent variable.

h, k - Coordinates of the vertex.

If we know that (h,k) = (0, 0) and p = -3, then the equation of the parabola is y = -12\cdot x^{2}.

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2 years ago
From his home, Clayton would have to walk 4 miles north to get to his friend Miki's house and 1 mile east to get to his friend D
iren2701 [21]
The houses form a right triangle. Using a²+b²=c² you will find that the distance from Clayton’s house to Danny’s would be 4.1 miles. Adding it all up, the distance would be 9.1 miles of walking.
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3 years ago
Meagan needs to paint the outside of a box
Arlecino [84]

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4 0
3 years ago
Find the surface area of the shape below.
almond37 [142]

Answer:

54m^2

Step-by-step explanation:

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in order to find the surface area, it's

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there are 6 squares so

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