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3 years ago

Find an equation for the parabola that satisfies the given conditions. (a) vertex (0, 0); focus (8, 0).

1 answer:

4 0

The general form for this type of parabola is y^2 = 4px where p is the distance of the focus from the vertex.

Here p = 8 so the equation is y^2 = 4(8)x or y^2 = 32x

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An alloy is composed of nickel, zinc, and copper in a 7:2:9 ratio. How many kilograms of each metal is needed to make 3.8 kg of

Tamiku [17]

Ni : Zn: Cu = 7:2:9 =7x : 2x : 9x

7x+2x+9x = 3.8
18x=3.8
x=3.8/18=1.9/9≈0.21

Ni: 7x=7*0.21=1.47 ≈1.5 kg
Zn: 2x=2*0.21=0.42≈0.4 kg
Cu: 9x=9*0.21=1.89 ≈1.9 kg

Check 1.5+0.4+1.9 =3.8 True

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4 years ago

At Westside Middle School, 10 percent, or 140 students, participate in soccer. How many students are in the school? Check all th

Aleonysh [2.5K]

Answer: There are 1,400 students in the school. Checked options are bolded.

Step-by-step explanation:

How many students in the school?

$\frac{1}{10} = \frac{140}{x}$ (10% of the school population is equal to 140 over unknown)

$x = 1,400$ (unknown equals 1,400)

Check all that apply:

The total number of students is greater than 140.
The total number of students is less than 140.
(10)(14) = 140, so 100(14) = 1,400 students.
140 + 10 = 150, so 150 + 140 = 290 students.
There are 140 + 10 = 150 students at Westside Middle School.
The percent as a part to whole ratio is StartFraction 140 Over 100 EndFraction
The percent as a part to whole ratio is StartFraction 10 Over 100 EndFraction

4 0

3 years ago

Read 2 more answers

The sum of three consecutive even numbers is one hundred seventy - four.

Wittaler [7]

Answer:

Step-by-step explanation:

Let the numbers by represented by x, y and z respectively. Taking x as the largest, and z as the smallest, we can rewrite them as follows.

x = x

y = x-1

z = y-1 = (x-1)-1 = x-2

We know x+y+z=174, so sub in the new values.

x + y + z = 174

x + (x-1) + (x-2) = 174

3x - 3 = 174

3x = 177

∴ x = 59

∴ x - 59, y = 58, and z = 57.

The smallest number, z, is equal to 57.

6 0

3 years ago

The temperature is _____ °C

nignag [31]

Answer:

25 0r 26 F

Step-by-step explanation:

around .5 - 1 C

4 0

3 years ago

Read 2 more answers

What is mZPQR in radians?

Serjik [45]

Answer:

7pi/20 radians

Step-by-step explanation:

63 pi

------ x---------- = 63pi/180

1 180

63pi/180 simplified is 7pi/20 radians.

4 0

3 years ago