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balu736 [363]
3 years ago
9

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

Mathematics
1 answer:
Paha777 [63]3 years ago
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
6 0
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:

<em>How many students in the school?</em>

  • <em />\frac{1}{10} = \frac{140}{x}<em> </em>(10% of the school population is equal to 140 over unknown)
  • <em />x = 1,400<em> </em>(unknown equals 1,400)

<em>Check all that apply:</em>

  • 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:

57

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
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