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sashaice [31]
3 years ago
12

How do I solve this?

Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0
Good morning! So, what this question wants us to do is find each y value given its x value. Without the function it gives us already, this would be pretty difficult.
It gives us a function rule of y=2x+3. This means that we need to plug in each x value into the equation and solve for y. Let’s work on these first three.

y=2x+3} x=-4
y=2(-4)+3
y=-8+3
y=-5
So, if x=-4, then y=-5.

y=2x+3} x=-2
y=2(-2)+3
y=-4+3
y=-1
So, if x=-4, then y=-1.

y=2x+3} x=0
y=2(0)+3
y=0+3
y=3
So, if x=0, then y=3.

Try out the last one, and if you have any questions, comment below! Here are some extra x values if you need more practice.
Using the same function rule, y=2x+3, try to find the y value if x=-6, x=-3, x=5, or x=6.
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The rectangle shown is dilated by a scale factor of 1/5
Harrizon [31]

Answer:

A'B'= 3 cm and B'D' = 1.6 cm

Step-by-step explanation:

First of all, we are told that the scale factor = 1/5

Now,we know that If the scale factor is less than 1, then the dilation is a reduction.

Thus, in this question the dilation is a reduction.

For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor

Thus;

A'B' = AB(1/5)

A'B' = 15(1/5) = 3 cm

B'D' = BD(1/5) = 8(1/5) = 1.6 cm

Thus, The length of each side of the dilated rectangle are;

A'B'= 3 cm and B'D' = 1.6 cm

5 0
3 years ago
Sketch a cylinder with radius 8 feet and height 3 feet, then find the volume.
4vir4ik [10]

Answer: 339.29ft^3

Step-by-step explanation:

The formula for a cylinder is πr^2h

In your scenario, r=8 and h=3 so put those into the equation -

π8^2(3) and just solve!

7 0
3 years ago
Angle of a triangle measures 115° the other two angles are in the ratio of 4:9 what are the measures of those two angles
nasty-shy [4]

Answer:

20, 45

Step-by-step explanation:

A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles  must add up to 65.

The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9

A ratio partition parts of something. We can add the ratio intergers to find it full length.

4+9=13.

Divide 65/13=5.

Multiply 5x4 and 5x9 serpately.

We get 20 and 45

6 0
3 years ago
2/3 to the fourth power
Stella [2.4K]
The correct answer is 16/81. Hope this helps.
5 0
4 years ago
Read 2 more answers
In the united states, the five great lakes cover an area of 94,710 square miles. The smallest of the great lakes, lake ontario,
tankabanditka [31]

Solution: We are given:

The area covered by five great lakes in United States =94,710 square miles.

The area covered by the smallest of the great lakes, Lake Ontario =7,540 square miles.

The fraction of the area of Ontario lake to the total area of all the great lakes is:

\frac{7,540}{94,710}

\frac{754}{9471}

Therefore, the simplest form of fraction is \frac{754}{9471}

\frac{754}{9471}=0.08


8 0
3 years ago
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