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Akimi4 [234]
3 years ago
15

Use the Distance Formula to write an equation of the parabola with focus F (0, 4) and directrix y = -4.

Mathematics
1 answer:
alexdok [17]3 years ago
8 0

Step-by-step explanation:

focus=(0,4)

Direcrtrix,y=-4

p=4

vertex=(0,0)

Open upward

(x-h)²=4p(y-k)

(x-0)²=4(4)(y-0)

(x-0)²=16(y-0)

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3×-y=5,2×+y=5 pleaseplease ​
Tanya [424]

Answer:

x = 2

y = 1

Step-by-step explanation:

3x - y = 5..............(1)× 1

2x + y = 5...….......(2)× 1

3x - y = 5..............(3)

2x + y = 5.............(4)

Cancel y

3x + 2x = 5 + 5

5x = 10

Divide both sides by 5

x = 2

Substitute for the value of y

3x - y = 5

3(2) - y = 5

6 - y = 5

6 - 5 = y

1 = y

y = 1

6 0
3 years ago
Value of 2x when x = 5
lora16 [44]

Answer: 10

Step-by-step explanation:

My answer is correct because, if x=5 then were just multiplying 2 times 5 since 5 is not on the top like 2^{5} because if it was that means we have to multiply 2 by itself 5 times. But since its not a exponent you just multiply 2 times 5. And 2 x 5= 10.

Hope This Helps!

8 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through (0, -2) and has a slope of 0?
11Alexandr11 [23.1K]

Answer:

y = -2

Step-by-step explanation:

The horizontal line through this point has a slop of 0

8 0
2 years ago
There are 2 green,5 yellow, 6 red,and 7 blue marbles in a bag. Erin picks one marble from the bag without looking. What is the p
Svetach [21]

Answer:

c 35%

Step-by-step explanation:

2 green,5 yellow, 6 red,and 7 blue marbles

2+5+6+7 = 20 marbles

P(blue) = blue marbles / total marbles

             = 7/20

              = 35/100

               =35%

7 0
3 years ago
In order to estimate the difference between the average hourly wages of employees of two branches of a department store, two ind
liberstina [14]

Answer:

Step-by-step explanation:

Hello!

You have two populations of interest and want to compare them. If you define the study variables as:

X₁: average hourly wages of an employee of the Downtown store.

n₁= 25

X[bar]₁= $9

S₁= $2

X₂: average hourly wages of an employee of the North Mall store.

n₂= 20

X[bar]₂= $8

S₂= $1

Both samples taken are independent, assuming that both populations are normal and that their population variances are equal I'll use the Student's-t statistic with a pooled sample variance to calculate the Confidence interval:

95% CI for μ₁ - μ₂

(X[bar]₁-X[bar]₂) ± t_{n_1+n_2-2; 1-\alpha /2} * (Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } )

Sa^2= \frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}

Sa^2= \frac{24*4+19*1}{25+20-2}= 2.67

Sa= 1.64

t_{n_1-n_2-2;1-\alpha /2} = t_{43; 0.975} = 2.017

(9-8)±2.017*(1.64*\sqrt{\frac{1}{25} +\frac{1}{20} } )

[0.007636;1.9923]

I hope it helps!

6 0
3 years ago
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