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Zepler [3.9K]
3 years ago
11

Rewrite the equation in slope-intercept form: 2x + 3y = 12.

Mathematics
2 answers:
hoa [83]3 years ago
7 0

Answer:

y=-2/3x+4

Step-by-step explanation:

Slope intercept form is y=mx+b

y has to be alone and "x" has to be on the other side

the equation will be 3y=-2x+12

then divide by 3 to make "y" alone

this leaves the equation y=-2/3x+12

Semmy [17]3 years ago
4 0

Answer:

y=-2x/3+4

Step-by-step explanation:

Subtract 2x from both side

3y=-2x+12

Divide by 3 to get y alone

y=-2x/3+4

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The triangles are congruent by the SSS congruence
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Answer: rotation then translation

Step-by-step explanation:

6 0
3 years ago
The amounts of household waste generated in a region during two years were 23,400,000 tons and 48,100,000 tons. What was the tot
trasher [3.6K]

The first step to do is to calculate first the total household waste generate for the two years. That is:

total waste generated = 23,400,000 tons + 48,100,000 tons

total waste generated = 71,500,000 tons

 

Now, to write either a very big number or a very small number in a form of scientific notation simply means to write it in a decimal form such as: 12.5 * 10^10

 

Now to write 71,500,000 in scientific notation, the decimal form is 7.15, however we still need to find out the * 10^n factor. The value of n depends on the number of places the decimal point was moved. If the movement was from right to left, the value of n is positive and if the movement was from right to left, the value of n is negative. Since the decimal point was moved by 7 places, hence the complete scientific notation is:

 

7.15 * 10^7 tons

8 0
3 years ago
Parallel to y - 2x = 4 and passes through (0,5)
wolverine [178]

Answer:

y=2x+5

Step-by-step explanation:

y=2x+4 means that the slope is m1=2

A parallel line shall have the same slope so

m2=m1=2

Therefore, the equation of the new line will be

y=2x+q

where q is the y-intercept, that is 5 because the line must pass in (0,5), so

q=5

and

y=2x+5

4 0
3 years ago
You are making a scaledrawing of a room using a scale of1 inch : 4 feet.a. The room is 14 feet by 18 feet. Find itsdimensions in
lilavasa [31]

Answer:

a. 3.5 inches by 4.5 inches

b. 1.5 inches

c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2

Step-by-step explanation:

A scale is a representative fraction showing the relationship between length on a drawing and actual length.

i.e scale = \frac{length on a drawing}{actual length}

 scale = 1 inch : 4 feet

a. The dimensions in the drawing can be determined as;

1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.

\frac{14}{4} = 3.5 inches

\frac{18}{4} = 4.5 inches

Dimensions on drawing is 3.5 inches by 4.5 inches.

b. The length of the sofa is 6 feet, its length on the drawing is;

\frac{6}{4} = 1.5 inches

c. To enlarge the scale so as to double the dimensions of the drawing, we have;

12 inches = 1 feet

4 feet = 4 × 12 = 48 inches

given scale = 1 inch : 48 inches

Thus, divide 48 inches by 2 and multiply 1 inch by 12.

scale = 12 inch : 24 inch

scale = 1 : 2

To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.

6 0
3 years ago
A coffe table is on sale for 20% off the orgingial price of $115. If there is 7.5% sales tax, what is the original price of the
Anuta_ua [19.1K]

Answer: 98.90

Step-by-step explanation:

115*.2=23

115-23=92

0.075*92=6.9

6.90+92=$98.90

3 0
3 years ago
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