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S_A_V [24]
3 years ago
5

Write the equation for a parabola with a focus at (-4,3) and a directrix at y = 5. Y=?

Mathematics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

(x+4)^2=-4(y-4)

Step-by-step explanation:

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The slope of AB is -2/5. Segment CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Jus
irina [24]

Answer:

Neither

Step-by-step explanation:

When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.

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3 years ago
If 6 cubes with an edge length of 14 can fit the height of the prism, what is the height of the prism? Enter the missing part of
Paha777 [63]

Answer: 84\ \text{units}

Step-by-step explanation:

Given

The length of each cube is a=14\ \text{units}

If there are 6 cubes placed over each other, then the height achieved by the cubes is

\Rightarrow 6\times 14\\\Rightarrow 84\ \text{units}

7 0
2 years ago
Karina is designing a logo on a coordinate plane. The logo is a square whose area is 200 square units. She places a circle in th
Katarina [22]

Answer:

D

Step-by-step explanation:

To find the percentage we must first find the area of the circle:

We can find the radius of the circle using the distance formula;

⇒ d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}

⇒ r = \sqrt{(6.3 - 0)^{2} + (1.6 - 0)^{2}}

⇒ r = 6.5

Now we calculate the area;

⇒ A = \pi r^{2}

⇒ A = \pi (6.5)^{2}

⇒ A = \frac{169}{4}\pi

To get the percentage we divide the area of the circle by the square’s are and multiply by 100;

⇒ Percentage = \frac{42.25\pi }{200} * 100

⇒ Percentage = 66 (2sf)

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2 years ago
Which situation can be modeled using a linear function?
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Answer:

the distance covered by a car at a constant speed

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