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den301095 [7]
2 years ago
12

Find the slope and y-intercept of the line that is parallel to y = -x - 3 and passes through the point (3, -2)

Mathematics
1 answer:
motikmotik2 years ago
3 0
Use point slope formula y-y1=m(x-x1)
You are told that y=-x+3. This equation is of the form y=mx+b. Where m=-1. m is the slope. And you have a point (x1,y1) that is (3,-2). With all of this in mind, you then plug all of these details into the point slope formula y-y1=m(x-x1)

In point slope form, you have the following:


y-(-2)=-1(x-3).

To turn this into slope intercept form, simplify y-(-2) to get y+2 and distribute in the -1 to get:

y+2=-x+3

Subtract 2 from both sides to get

y=-x+1

In slope intercept form, the answer is
y=-x+1 and in point slope form, the answer is y+2=-x+3

Hope this helps!!!

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Novosadov [1.4K]

Answer:

(2, -3) and r = 3.

Step-by-step explanation:

you can also plug this equation in desmos but I guess it's good to know how to do it also:

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2

Now in order to make a perfect square on both sides, we need to do this:

First add 9 to both sides:

x^2 + 6x + 9 + y^2 -4y +4 = 9.

I purposely shifted it to show the perfect square created when you add 9 to both sides. Factor:

(x+3)^2 + y^2 - 4y + 4 = 9.

now the second bolded part is allso a perfect square. Factor:

(x+3)^2 + (y-2)^2 = 9

Based on the equation of a circle, the center must be at (2, -3) and the radius is the square root of 9 which is 3.

:)

8 0
2 years ago
To multiply a decimal number by 1,000, move the decimal point _____. three places to the left three places to the right four pla
melamori03 [73]
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6 0
2 years ago
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GuDViN [60]

Answer:

3a^4

Step-by-step explanation:

What is the cube root of  27a^{12}? This is the question.

We can write:

\sqrt[3]{27a^{12}}

We will use the below property to simplify:

\sqrt[n]{a*b}=\sqrt[n]{a}  \sqrt[n]{b}

So, we have:

\sqrt[3]{27a^{12}} =\sqrt[3]{27} \sqrt[3]{a^{12}}

We will now use below property to further simplify:

\sqrt[n]{x} =x^{\frac{1}{n}}

Thus, we have:

\sqrt[3]{27} \sqrt[3]{a^{12}} =3*(a^{12})^{\frac{1}{3}}

We know power to the power rule:  (a^z)^b=a^{zb}

Now, we have:

3*(a^{12})^{\frac{1}{3}}\\=3*a^{\frac{12}{3}}\\=3a^4

This is the correct answer:  3a^4

4 0
3 years ago
Robin asked her mom, "How many 3/4-cup servings are in 2/3 of a cup of soup?" Select the response that correctly displays BOTH t
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Answer:

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3 years ago
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