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lawyer [7]
4 years ago
12

What is the equation of the line perpendicular to the line y=3x+2 and passing through the point (3, -4)

Mathematics
1 answer:
aleksklad [387]4 years ago
5 0

Answer:

<h2>D: y= -(1/3)x -3</h2>

Step-by-step explanation:

(3, -4)=(x,y)\\y=3x+2\\\\m_1 =3\\In\: perpendicular\: line ;\\\\m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{3} \\m_2 = -1/3\\\\Substitute \:new\:values\:into\: ;y=mx+b\\\\-4 = -\frac{1}{3} (3) + b\\-4 = -1 +b\\-4+1 =b\\-3 =b\\Substitute \:new\:values\:into\: ;y=mx+b\\y =-\frac{1}{3}x -3

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The area of a rectangle is 30 sq meters. The perimeter is 26 feet. What are the dimensions of the rectangle?
Art [367]

Answer:

The given rectangle is not possible.

Step-by-step explanation:

The minimum perimeter of such a rectangle is 4√30 meters, about 21.9 meters. That is about 71.9 feet. The largest rectangle with a perimeter of 26 feet will have an area of about 3.93 square meters.

The rectangle described cannot exist.

7 0
4 years ago
Dwayne estimated his mass as<br> 6 kilograms. Is his estimate reasonable? Explain your answer.
dmitriy555 [2]

Answer:

no this is only about 13 pounds

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Given: f(x)=1-x^2,g(x)=1-2x, and h(x)= 1/x^2+1 <br> find g(f(5))
Novay_Z [31]

Answer:

g(x) = -9

Step-by-step explanation:

g(x) = 1 - 2x        substitute 5 for x

g(x) = 1 - 2(5)      solve parenthesis first

g(x) = 1 - 10         subtract

g(x) = -9

5 0
3 years ago
A recipe for cookies requires 2/3 cup of butter. Raheim wants to make 3/4 of the recipe. How many cups of butter should Raheim u
viva [34]
When you only want to make a fraction of a recipe, say like 1/2, you multiply that fraction by every measurement of an ingredient.

So, if a recipe calls for 2 cups of flour, you multiply the measurement of that ingredient by the fraction. In our case 1/2.

2 * 1/2 = 2/2 = 1

Now we need to only put 1 cup of flour.

Same difference with the question above. Raheim only wants 3/4 of the recipe. So, we multiply 3/4 by the measurement of every ingredient.

One of the ingredients is butter. In the original recipe, it is 2/3 of a cup.

Now we multiply 2/3 by 3/4.

2/3 * 3/4 = 6/12

Simplify the fraction.

6/12 = 1/2

So, Raheim should use 1/2 of a cup of butter.
5 0
4 years ago
Read 2 more answers
What is the volume of a cube whose side length is 1.8 meters?
Natalija [7]

Answer:

5.83

Step-by-step explanation:

You find volume of a cube by its side length cubed. (a^3). so 1.8 to the power of three is 5.83

4 0
3 years ago
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