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zhuklara [117]
3 years ago
9

Paint costs $19.95 per gallon. Nicole needs 1.25 gallons to complete a painting project

Mathematics
1 answer:
ra1l [238]3 years ago
8 0

Answer:

$25.00

Step-by-step explanation:

  1. Set up a proportion: \frac{19.95}{1} = \frac{x}{1.25}  
  2. Cross multiply, then divide: 19.95 × 1.25 = 24.9375, 24.9375 ÷ 1 = $24.9375
  3. Round your answer: $24.9375 → $25.00

I hope this helps!

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Make V the subject of the formula E=mv2/2
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Write the equation in vertex form and then find the vertex, focus, and directrix of a parabola with equation x=y^2+18y-2
kakasveta [241]

Answer:

Part 1) The vertex is the point (-83,-9)

Part 2) The focus is the point (-82.75,-9)

Part 3) The directrix is x=-83.25

Step-by-step explanation:

step 1

Find the vertex

we know that

The equation of a horizontal parabola in the standard form is equal to

(y - k)^{2}=4p(x - h)

where

p≠ 0.

(h,k) is the vertex

(h + p, k) is the focus

x=h-p is the directrix

In this problem we have

x=y^{2} +18y-2

Convert to standard form

x+2=y^{2} +18y

x+2+81=y^{2} +18y+81

x+83=(y+9)^{2}

so

This is a horizontal parabola open to the right

(h,k) is the point (-83,-9)

so

The vertex is the point (-83,-9)

step 2

we have

x+83=(y+9)^{2}

<em>Find the value of p</em>

4p=1

p=1/4

<em>Find the focus</em>

(h + p, k) is the focus

substitute

(-83+1/4,-9)

The focus is the point (-82.75,-9)

step 3

Find the directrix

The directrix of a horizontal parabola is

x=h-p

substitute

x=-83-1/4

x=-83.25

6 0
3 years ago
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