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mylen [45]
3 years ago
9

8. Solve using any method. 3y – 3 = 3x -3x + 3y = -57

Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0

Answer:

No Solutions.

Step-by-step explanation:

I will solve your system by substitution.

3y−3=3x; −3x+3y=−57

Step: Solve 3y−3=3x for y:

3y−3+3=3x+3 (Add 3 to both sides)

3y=3x+3

(3y/3=3x+3)/3

(Divide both sides by 3)

y=x+1

Step: Substitute x+1 for y in −3x+3y=−57:

−3x+3y=−57

−3x+3(x+1)=−57

3=−57 (Simplify both sides of the equation)

3+(−3)=−57+(−3) (Add -3 to both sides)

0=−60

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What is the volume of a rectangular prism when the measures are multiplied by 4?
koban [17]

Answer: A. 3072 cm³

Step-by-step explanation:

The formula for determining the volume of a rectangular prism is expressed as

Volume = length × width × height

Looking at the diagram,

Length = 6 cm

Width = 4 cm

Height = 2 cm

When the measures are multiplied by 4, then

Length = 6 × 4 = 24 cm

Width = 4 × 4 = 16 cm

Height = 2 × 4 = 8 cm

Therefore,

Volume = 24 × 16 × 8 = 3072 cm³

6 0
3 years ago
Read 2 more answers
As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change
Leni [432]

Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

Sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

Cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

Since measures of the opposite side and adjacent sides are given

Therefore, tangent ratio will be applied to get the measure of the angle,

tanθ = \frac{2}{100}

θ = \text{tan}^{-1}(\frac{2}{100})

Option (A) will be the answer.

5 0
3 years ago
Please help with #12
ExtremeBDS [4]

Answer:

a. 1 1/8 b. 8/9

Step-by-step explanation:

You can set this up as a proportion to solve.  For part a. we know that 2/3 of the road is 3/4 mile long.  2/3 + 1/3 = the whole road, so we need how many miles of the road is 1/3 its length.  Set up the proportion like this:

\frac{\frac{2}{3} }{\frac{3}{4} } =\frac{\frac{1}{3} }{x}

Cross multiplying gives you:

\frac{2}{3}x=\frac{1}{3}*\frac{3}{4}

The 3's on the right cancel out nicely, leaving you with

\frac{2}{3}x=\frac{1}{4}

To solve for x, multiply both sides by 3/2:

\frac{3}{2}*\frac{2}{3}x=\frac{1}{4}*\frac{3}{2} gives you

x=\frac{3}{8}

That means that the road is still missing 3/8 of a mile til it's finished.  The length of the road is found by adding the 3/4 to the 3/8:

\frac{3}{4}+\frac{3}{8}=\frac{6}{8}+\frac{3}{8}=\frac{9}{8}

So the road is a total of 1 1/8 miles long.

For b. we need to find out how much of 1 1/8 is 1 mile:

1 mile = x * 9/8 and

x = 8/9.  When 1 mile of the road is completed, that is 8/9 of the total length of the road completed.

8 0
3 years ago
4y+8-2y if y=3 what is the answer
exis [7]

Answer:

14.

Step-by-step explanation:

Plug 3 in for y:

= 4(3) + 8 - 2(3)

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= 14.

6 0
2 years ago
Identify the y-intersept of the function -3(3)^x+4
Marta_Voda [28]

Answer:

The answer is (0,1)

Step-by-step explanation:

8 0
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