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4 years ago

Find the vertex, focus, directrix, and focal width of the parabola. x = 4y2

Mathematics

1 answer:

Anuta_ua [19.1K]4 years ago

8 0

I Hope this helps you

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On a bike trip across the united states, Rodney notes that he covers about 190 miles every 4 days. If he continues at rate , use

kow [346]

190 ÷ 4 = 47.5 47.5 × 6 = 285 he could bike 285 in 6 days

5 0

3 years ago

Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders o

Evgesh-ka [11]

Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

$c = coffee\\ j= juice\\ d = doughnut$

So, we have:

Anna

$2c + j + 2d = 7.50$

Barry

$c + 3d = 5.00$

Cathy

$3c + j + 4d = 11.50$

Required

The price of each

We have:

$2c + j + 2d = 7.50$

$c + 3d = 5.00$

$3c + j + 4d = 11.50$

Make c the subject in: $c + 3d = 5.00$

$c = 5.00 - 3d$

Substitute $c = 5.00 - 3d$ in $2c + j + 2d = 7.50$ and $3c + j + 4d = 11.50$

$2c + j + 2d = 7.50$

$2[5.00 - 3d] + j + 2d = 7.50$

$10.00 - 6d+ j + 2d = 7.50$

Make j the subject

$j = 7.50 - 10.0 +6d - 2d$

$j = -2.50 +4d$

$3c + j + 4d = 11.50$

$3[5.00 - 3d] + j + 4d = 11.50$

$15.00 - 9d + j + 4d = 11.50$

Make j the subject

$j = 11.50 - 15.00 + 9d -4d$

$j = -3.50 + 5d$

So, we have:

$j = -3.50 + 5d$ and $j = -2.50 +4d$

Equate both values of j

$-3.50 + 5d = -2.50 + 4d$

Collect like terms

$5d - 4d = 3.50 -2.50$

$d = 1.00$

Substitute $d = 1.00$ in $j = -3.50 + 5d$

$j = -3.50 + 5d$

$j = -3.50 + 5 * 1.00$

$j = -3.50 + 5.00$

$j = 1.50$

To solve for c, we substitute $d = 1.00$ in $c + 3d = 5.00$

$c + 3 * 1.00 =5.00$

$c + 3.00 =5.00$

Solve for c

$c =- 3.00 +5.00$

$c =2.00$

7 0

3 years ago

Which combination of shapes can be used to create the 3-D figure?

Leto [7]

Answer: Two regular octagons and eight congruent rectangles

Step-by-step explanation:

An octagon has 8 sides and the shapes on the bottom of the shape are 8 rectangles.

6 0

3 years ago

Read 2 more answers

The histogram shows the weekly attendance of participants in a school's study skills program. What was the highest weekly attend

worty [1.4K]

That would be on the 5th week. There were 18 students that attended (D.)

Hope this helped!

8 0

3 years ago

Are both students equations correct?

larisa86 [58]

Answer:

yes because it is the opposite side

7 0

2 years ago