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3 years ago

Translate (3, – 4) down 3 units. Then reflect the result over the y-axis.

Mathematics

1 answer:

Aneli [31]3 years ago

6 0

Answer:

your answer should be (-3,-7)

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What is y=2(x+1)^2 in standard form

Setler79 [48]

Y=4x+4
I think this is it u just have to simplify to get it to y=mx+b

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3 years ago

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Lorraine writes the equation shown. x squared + y minus 15 = 0 She wants to describe the equation using the term relation and th

Colt1911 [192]

Answer:

x=2 y=11

Step-by-step explanation:

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3 years ago

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Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.

leonid [27]

<u>Answer-</u>

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

$12x-5y+14=0 \\ 12x-5y-14=0$

<u>Solution-</u>

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1$

$\Rightarrow 12h-5k-1=\pm 13$

$\Rightarrow 12h-5k=\pm 14$

$\Rightarrow 12h-5k=14,\ 12h-5k=-14$

$\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0$

$\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0$

Two equations are formed because one will be upper from the the given line and other will be below it.

4 0

3 years ago

Convert 5.45787878 to a fraction. Simplify

TiliK225 [7]

Answer:

It is 54033/9900

Step-by-step explanation:

7 0

3 years ago

A circle with center at (12,−1) passes through (0,−1). Find the circumference and area of the circle in terms of p.

madreJ [45]

Answer:

C = 75.36

A = 452.16

Step-by-step explanation:

Find the radius r by finding the distance between (12,-1) and (0,-1) using the distance formula.

$d = \sqrt{(12-0)^2 + (-1--1)^2} =\sqrt{(12)^2 + (0^2} =\sqrt{144+0} =\sqrt{144}=12$

The radius is 12.

So the circumference of the circle is $C = 2\pi r = 2\pi 12 = 24\pi = 75.36$

So the area of the circle is $A = \pi r^2\\A = \pi 12^2\\A = 144\pi\\A = 452.16$

6 0

3 years ago