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mariarad [96]
3 years ago
15

Find the radius of each circle. 17) circumference = 62.8 mi

Mathematics
1 answer:
kirill [66]3 years ago
3 0

IM IN 6TH GRADE. I DUNNO?

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Given the system of linear equations.
Karo-lina-s [1.5K]

Part A:


x + y = 9

4x + y = 6


To solve this system using substitution, begin by isolating either x or y in the first equation. I'll isolate x.


x + y = 9

x = 9 - y


Substitute this expression (9 - y) into the second equation for x and solve.


4x + y = 6

4(9 - y) + y = 6

36 - 4y + y = 6

36 - 3y = 6

-3y = -30

y = 10


To find x, substitute 10 for y into either of the original equations.


x + y = 9

x + 10 = 9

x = -1


Finally, check all work by substituting the x- and y-values into each original equation.


x + y = 9   -->   -1 + 10 = 9   -->   9 = 9   -->   True

4x + y = 6   -->   4(-1) + 10 = 6   -->   -4 + 10 = 6   -->   6 = 6   -->   True


The answer for Part A is x = -1 and y = 10; (-1, 10).


Part B:


For graphing, it's easier to get the equations into slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To get our equations into slope-intercept form, we must simply isolate y.


x + y = 9

y = 9 - x

y = -x + 9


4x + y = 6

y = 6 - 4x

y = -4x + 6


Now that we have our slope-intercept equations, we can easily graph them, since their slopes and y-intercepts are readily visible.



Let's start with the y-intercepts. They are (0, 9) and (0, 6). You can plot those points on the graph.


Now, the slopes. The slope of the first line is -1, this means it declines. To plot this, start where you plotted the y-intercept, count one unit down, and then one unit to the right, and plot that point. Continue doing that and connect the dots, and you will have plotted the first line. The slope of the second line is -4, so it also declines. For this line, count four units down, and then one to the right and plot that point. Likewise, continue this and connect the coordinates, and you will have your line. (See attachment for graph.)


The lines do indeed intersect at (-1, 10); our answer is verified by graphing.

5 0
3 years ago
Variable y varies directly with variable x. If x = 12, then y = 3. What is the value of y
Monica [59]

Answer:

<h2>y = 2</h2>

Step-by-step explanation:

To find the value of y when x = 8 we must first find the relationship between the two variables.

The statement

y varies directly with variable x is written as

y = kx

where k is the constant of proportionality

when

x = 12

y = 3

Substitute the values into the above formula and solve for k

That's

3 = 12k

Divide both sides by 12

k =  \frac{1}{4}

So the formula for the variation is

y =  \frac{1}{4} x

when

x = 8

y =  \frac{1}{4}  \times 8

we have the final answer as

<h3>y = 2</h3>

Hope this helps you

5 0
3 years ago
A group of students each are given a certain number of green and yellow marbles​
allochka39001 [22]

Answer: A,d,f

Step-by-step explanation:

Because you have to simplify the ratios of the colors.

6 0
3 years ago
2x-y+z=9 x+y-2z=-1 -x+2y+2z=-5
slega [8]
X=3
Y=-2
Z=1

Hope this helps.

3 0
3 years ago
Statement Reason
andrew11 [14]

Answer:vhv

Step-by-step explanation:hhgjhghjgjg

7 0
2 years ago
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