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3 years ago

Solve 3x + 2y + 5x - y

2 answers:

6 0

Put your like terms together:
3x + 5x = 8x
2y - y = y
and then just put your two final answers together to get your final equation:
8x + y

galina1969 [7]3 years ago

4 0

Answer: 8x+y

Step-by-step explanation:

you always combine your like terms, a trick is to put a line infront of your equation signs making it look like 3x/+2y/+5x/-y. This makes it easier to see if your terms are positive or negative. Now you have 5x+3x and 2y-y giving you 8x+y because its still positive.

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Finding Side Lengths

zheka24 [161]

Answer:

x = 2.5

y = 5

Step-by-step explanation:

As the two figure are the image and pre-image of a dilation.

Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.

As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.

It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in

Lets determine the missing side of the right side triangle by the same rule.

As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5

So, the value of x will be 2.5

Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.

y + 1 = 2(3) ∵ 3 in (image side) is multiplied by 2

y + 1 = 6

y = 6 - 1

y = 5

So, the value of y = 5

Therefore,

x = 2.5

y = 5

6 0

4 years ago

Evaluate the expression when b=3 and c=-6 4b-c

sveta [45]

Answer:

Step-by-step explanation:

4(3) -(-6)

4 times 3 is 12. When you subtract a negative number the negative number gets added so it would be 12 + 6 which is 18. Hope that helps :)

6 0

3 years ago

PLEASE HELP ITS A BENCHMARK TEST ILL GIVE BRAINIEST Four points, D. V. Q, and M, are all positive rational numbers that are not

Anika [276]

Answer:

TRUE

FALSE

TRUE

FALSE

8 0

3 years ago

. A patio is built in the shape of a trapezoid, as shown. Determine the area of the patio.

netineya [11]

Answer:

84 in²

Step-by-step explanation:

(15+6)0.5 * 8 = 21(0.5) * 8 = 10.5 * 8 = 84

8 0

3 years ago

Need help explain to me

Natali [406]

9514 1404 393

Answer:

A) (20 miles)/(1 gallon) = 20 miles per gallon

B) 20/1 = 20

Step-by-step explanation:

After you read the problem statement and identify the questions being asked, it is a good idea to look carefully at the given information. Graphs A and B are identical in every way.

The vertical axis is labeled "y" and "Distance (miles)". The horizontal axis is labeled "x" and "Gallons". The graph starts at (0 gallons, 0 miles) and goes through points on the grid that are 2 squares up for each 1 square to the right. Each square up represents 10 miles. Each square to the right represents 1 gallon.

A) Pick two points on the graph. It is usually convenient to choose points where the graph crosses grid intersections. It is often convenient to choose one of them as (0, 0) if that point is on the graph (it is). I expect it to be convenient to choose the second point as (1 gallon, 20 miles).

The change in distance between the point (0 gallons, 0 miles) and (1 gallon, 20 miles) is (20 miles) - (0 miles) = 20 miles.

The change in gallons between the point (0 gallons, 0 miles) and (1 gallon, 20 miles) is (1 gallon) - (0 gallons) = 1 gallon.

The ratio of these changes is (20 miles)/(1 gallon) = 20 miles per gallon.

B) We can use the same two points. Here, we basically ignore the units.

Change in y = 20-0 = 20.

Change in x = 1 -0 = 1.

Slope = 20/1 = 20.

_____

Additional comment

For many problems, I find it convenient to keep the units with the numbers. Making sure the units work out properly is called "units analysis." Doing that can save you from a number of mistakes where units are involved.

Units can be treated just like a variable--multiplied, divided, raised to a power, cancelled from fractions. And, like with variables, terms can only be added or subtracted if they have the same units.

Here, we have ...

$\dfrac{\text{change in distance}}{\text{change in gallons}}=\dfrac{20\text{ miles}}{1\text{ gallon}}=\dfrac{20}{1}\times\dfrac{\text{miles}}{\text{gallon}}=20\text{ miles per gallon}$

Note that "divided by" and "per" mean essentially the same thing in this context.

As you can see from the work done with Graph A, the slope of the line has units that are the ratio of the units of the y-axis to the units of the x-axis. (miles/gallon) Even though in Graph B, we write the slope as 20 without any units, it will only make any sense to use that number where units of miles/gallon make sense.

7 0

3 years ago