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Leona [35]
3 years ago
5

Write an equation of the line passing through the point A(2, 0) that is parallel to the line y = 3x−5 .

Mathematics
1 answer:
sammy [17]3 years ago
4 0
Hello,

In order for lines to be parallel to each other, they need to have the same slope. So, let's plug in the points and slope for point-slope form.

The equation for point-slope form is: y-y1 = m (x-x1)

Let's plug in the points into the equation. 
y-5 = m (x-0), and then let's plug in the slope for "m" : y-5 = 3 (x-0).

After plugging the numbers in, the equation is simplified to y-5 = 3 (x-0). Then distribute the 3 to the parenthesis. y-5 = 3x. To get y by itself, you need to add 5 to both sides. After that, the equation parallel to that equation is: y = 3x + 5.

Hope this helps! =)
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Rationalize the denominator.
AlekseyPX

Hello and Good Morning/Afternoon!

<u>Let's take this problem step-by-step</u>:

<u>What the problem asks for:</u>

  ⇒ to rationalize the denominator

      ⇒ rationalize means that you multiply the numerator and

          demonimator by the denominator

<u>Let's put that into action</u>:

    \frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4  } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }<== <u>Answer</u>

<u></u>

Hopefully that helps!

4 0
1 year ago
10x+36-38x-47 I don't understand this question i am so confused please explain i would be really thankful.
Lelechka [254]

-28x-11

Step-by-step explanation:

10x-38x=-28x

+36-47=-11

so the answer is -28x-11

8 0
3 years ago
The slope of a line that passes through points (-1, -3) and (-2,5) is:
sweet [91]

Answer:

m = -8

Step-by-step explanation:

Use the slope formula: m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{5+3}{-2+1} =\frac{8}{-1} =-8

m = -8

6 0
3 years ago
How many triangles can be formed
Nastasia [14]

Answer:

B. One

Step-by-step explanation:

Since the two angles are already given, the value of the third angle is already fixed. The third angle can be found by the sum of both angles subtracted from 180. Since 2 angles and lengths are already given, there can only be 1 triangle.

Hope this helps!

If not, I am sorry.

6 0
1 year ago
Please help me with these.
frozen [14]

18. The perimeter is simply √3 + √3 + √3 + √3 or 4√3cm, since the perimeter is just all sides added together. You could add the decimal numbers together using a calculator, which I'm not sure if you're supposed to do in your class.

The area is just width times length, so √3 • √3 = 3cm².

19. The perimeter is 2√5 + 2(9 - √5).

This can also be written as 2√5 + 18 - 2√5, which leaves you with a perimeter of 18ft.

The area would be √5 • (9 - √5), which leaves you with (9√5 - 5)ft².

20. The formula for the perimeter (or circumference) of a circle is π times the diameter of the circle. Using the radius of the circle, 1/π, the diameter is 2/π, so

π • 2/π = 2. The circumference of the circle is 2 inches.

The area of the circle is calculated with the equation πr², so

π(1/π)² = π • 1/(π²) = π/(π²) = π. The area is simply π in².

8 0
3 years ago
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