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FromTheMoon [43]
2 years ago
5

Lydia writes the equation below with a missing value.

Mathematics
2 answers:
DanielleElmas [232]2 years ago
7 0

Answer:

a

Step-by-step explanation:

Alex73 [517]2 years ago
3 0

If she puts 0 in the box she would have a direct variation.

Lydia writes the equation y = 5x - __ with a missing value.

She puts a value in the box and says that the equation represents a direct variation.

We have to choose the correct option from the given options that explain that the equation could represent a direct variation.

When two variables are such that one is a constant multiple of the other, we said they are in Direct variation.

<h3>What is the direct variation?</h3>

In form of y = ax, where y and x are in direct variation.

Consider the given equation y = 5x  - __

For the equation to be in direct variation the value of the missing term has to be 0.

then the equation becomes,

y = 5x

Thus, If she puts 0 in the box she would have a direct variation.

Option (a) is correct.

To learn more about the direct variation visit:

brainly.com/question/25215474

#SPJ1

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A right cylinder has a radius of 6 m and a surface area of 84 m². Find the surface area of a similar cylinder with a radius of 2
dlinn [17]

Answer:

The surface area of the second cylinder is equal to 9.33\ m^{2}

Step-by-step explanation:

we know that

If two figures are similar then

the ratio of their surfaces areas is equal to the scale factor squared

Let

z-------> the scale factor

x------> the surface area of the smaller cylinder (second cylinder)

y-------> the surface area of the original cylinder (first cylinder)

so

z^{2}=\frac{x}{y}

Step 1

Find the scale factor

z=\frac{2}{6}=\frac{1}{3}

Step 2

Find the surface area of the second cylinder

we have

z=\frac{1}{3}

y=84\ m^{2}

substitute and solve for x

(\frac{1}{3})^{2}=\frac{x}{84}

x=\frac{1}{9}*84=9.33\ m^{2}


5 0
3 years ago
Maya, Eric, and Ryan sent a total of 116 text messages during the weekend. Ryan sent 3 times as many messages as Maya. Eric sent
Naddika [18.5K]

Answer:

Maya 22 Ryan 66 Eric 28

Step-by-step explanation:

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3 years ago
!!!!!!!!!!!!!!!! URGENT !!!!!!!!!!!!!!!!!!<br><br><br><br><br><br><br>1.2 Learning Checkpoint
Grace [21]

Answer: Try to figure it out first. If you can't, then you haven't learned the material and you won't be able to understand subsequent lessons.


Step-by-step explanation:

Question 1 checks that you know several things:


● Point (5,8) means x=5 and y=8.


● Which number is the y intercept in equation y = m x + b.

m is NOT the y intercept.

b IS the y intercept.

Guess which is the slope...


● The y intercept is value of y when x is zero. But m times zero is zero, no matter what m is, so m can't be the y intercept. On the other hand, m x + b evaluates to b when x is zero.


● The meaning of an inequality and how it is graphed:

A solid line means the line is included in the graph (≤ or ≥).

A dotted line means the line is not included (< or >).

The shaded area indicates points in that area are in the solution set of the inequality.


● To see if point (A,B) is in the solution set, substitute A for x and B for y, and see if the result is true.


Say (A,B) = (5,6), and the statement is y < 2x + 3. You substitute A (5) for x and evaluate the right hand side to a number (13), and substitute B (6) for y on the left hand side to give a statement about two numbers: 6 < 13. If the statement is true, then (A,B) is in the solution set.


Then the region containing (A,B) will be shaded (inequality), or a solid line (equation).


Question 2 tries to see if you realize you can't draw a line between two points without first plotting both points.


Question 3 checks to see if you know how to tell if an equation matches a line on graph paper. You can look at the line, find the y intercept (b) and the slope (m), and look for an equation y = m x + b.

For instance, the red line crosses the y axis at (0,4), x = 0 (always true for a y intercept), and y = 4. So the equation for the red line must be

y = m x + 4. If you substitute (0,4), you get 4 = m × 0 + 4 = 4, a true statement.

You can figure the slope of the red line as m = rise/run. The answer is m=2, so the equation is y = 2x+4.

Or you can just check all of the choices. Takes longer but you don't have to know how to find slope.


But after doing this (or even without doing it), you check to see if a few points from the line make the equation true. The red line includes (-4,-4). So check -4 = 2(-4) + 4. Since -8+4 is -4, the result is true. Also check (0,4) and (-2,0) because they are easy to do. 4 = 2(0)+4, true, and 0 = 2(-2) + 4, true. y = 2x + 4 is the equation of the red line.


If the check fails, then either you don't know how to read the slope and y intercept, or else you don't know how to substitute x and y into the equation.


Another way to eliminate incorrect choices quickly is to substitute (-3,-2), x = -3, y = -2, into each pair. If either equation evaluates to false, eliminate that choice. But that might not eliminate all but one choice, so you need to test all of them.


The last question checks to see if you can figure out which axis is x and which is y, and if you know (-3,-2) means x=-3, y=-2, and not x=-2, y=-3.


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