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2 years ago

Which geometric term is best described as a straight path between two

Mathematics

1 answer:

pshichka [43]2 years ago

4 0

Answer:

B. Line segment

Step-by-step explanation:

A line segment starts with a point and ends with a point.

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Write the equation for a parabola with a focus at (-8, -1) and a directrix at y = − 4.

Sidana [21]

Answer:

y = 1/6 x^2 + 8/3 x + 49/6

Step-by-step explanation:

This is a parabola which opens upwards.

The distance of a point (x, y) from the focus is

√[(x - -8)^2 + (y - -1)^2] and

the distance of the point from the line y = -4

= y - -4

These distances are equal for a parabola so:

√[(x - -8)^2 + (y - -1)^2] = y + 4

Squaring both sides:

(x + 8)^2 + (y + 1)^2 = (y + 4)^2

x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16

x^2 + 16x + 64 + 1 - 16 = 8y - 2y

6y = x^2 + 16x + 49

y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.

4 0

3 years ago

Rosie buys 1/2 of a watermelon at the farmer's market. She shares it equally with her two best friends. 1/2 divided by 3. How mu

Andre45 [30]

1/2 divide by 3 or 1/[2(3)] which will be equal to 1/6

7 0

3 years ago

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Part of arianna’s earnings are based on a 5% commission rate. At the end of the day arianna earned 14.98 in commission. How much

Katarina [22]

Arianna sold for $ 299.6

Solution:

Given that, Part of Arianna’s earnings are based on a 5% commission rate

At the end of the day arianna earned 14.98 in commission

Therefore,

Commission earned = $ 14.98

Commission rate = 5 %

Let "x" be the amount that Arianna sell that day

Therefore, according to question,

5 % of amount earned = 14.98

5 % of "x" = 14.98

Solve the above equation for "x"

$5 \% \times x = 14.98\\\\\frac{5}{100} \times x = 14.98\\\\5x = 14.98 \times 100\\\\5x = 1498\\\\Divide\ both\ sides\ of\ equation\ by\ 5\\\\x = 299.6$

Thus arianna sold for $ 299.6

7 0

3 years ago

Which equation can you use to correctly solve for the volume of the hemisphere?

garik1379 [7]

Answer:

Idk too much brain hurt

Step-by-step explanation:

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3 years ago

Add using Scratch Addition. 45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87 3

soldier1979 [14.2K]

92836393749484037403

7 0

2 years ago

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