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pogonyaev
3 years ago
5

What two simpler problems can you use to find 9 x 38?

Mathematics
1 answer:
tekilochka [14]3 years ago
8 0
You can use the distibutive property by breaking apart the bigger number (38) into 30 and 8. Now, you can do: (9 x 30) + (9 x 8)
I hope this helps!!! 
:D
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Match the steps to find the equation of the parabola with focus (-1, 2) and directrix x = 5.
Archy [21]

Answer:

The matched options to the given problem is below:

Step1: Choose a point on the parabola

Step2: Find the distance from the focus to the point on the parabola.

Step3: Use (x, y).

Find the distance from the point on the parabola to the directrix.

Step4: Set the distance from focus to the point equal to the distance from directrix to the point.

Step5: Square both sides and simplify.

Step6: Write the equation of the parabola.

Step by step Explanation:

Given that the focus (-1,2) and directrix x=5

To find the equation of the parabola:

By using focus directrix property of parabola

Let S be a point and d be line

focus (-1,2) and directrix x=5 respectively

If P is any point on the parabola then p is equidistants from S and d

Focus S=(-1,2), d:x-5=0

Step1: Let P(x,y) be any point on parabola

Step2: Therefore the d=\sqrt{(x+1)^2+(y-2)^2}\hfill (1)

Step3: The perpendicular distance from p to d is

\frac{|x-5|}{\sqrt{(-1)^2+2^2}}

=\frac{|x-5|}{\sqrt{5}}\hfill (2)

Step4: equating (1) and (2)

\sqrt{(x+1)^2+(y-2)^2}=\frac{|x-5|}{\sqrt{5}}

Step5: squaring on both sides

(x+1)^2+(y-2)^2=\frac{|x-5|^2}{5}

5[(x+1)^2+(y-2)^2]=(x-5)^2

5[x^2+2x+1+y^2-2y+4-x^2+10x-25]=0

12x+y^2-2y-24=0

Step6: Equation of the parabola is

y^2-2y+12x-24=0

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3 years ago
steve and scott are twins out for a morning jog. They run at the exact same speed They split at a corner one north, one east. On
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Their running paths form the legs of an isosceles right triangle. The hypotenuse of such a triangle (the distance between Steve and Scott) is √2 times the length of one leg. Each has run 10 miles in the hour since they split.

They are running at 10 miles per hour.
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Imagine that you have the opportunity to purchase a large piece of land for $100,000, after taking out a loan. You have decided
MakcuM [25]

what is this

Step-by-step explanation:

Option #1 – charges 5% simple interest per year; this is a short-term loan for only 5-years.

Option #2 – charges 7% simple interest per year; this is a short-term loan for only 3-years.

Option #3 – charges 3.2% simple interest per year; there is no time limit on this loan (as a group determine how long you think it will take you to make enough money to be able to pay back the loan with interest)

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2 years ago
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What is the area of this figure?​
timurjin [86]

Answer:

252 inches squared is the answer

Step-by-step explanation:

6 0
3 years ago
tabia stores her hair bands in a cube shaped container. the cube has a volume of 64 cubic inches. What is the lenght of the edge
xeze [42]

Answer:

The length of the edge of the cube = 4 inches

Step-by-step explanation:

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∵ All edges are equal in length

∴ Its height = L

∴ The volume of the cube = L² × L = L³

* Now we have the volume and we want to find the

 length of the edges

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∴ 64 = L³

* Take cube root to the both sides

∴ ∛64 = ∛(L³)

∴ L = 4 inches

* The length of the edge of the cube = 4 inches

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3 years ago
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