7x(-3)x(-2)^2 = -21x4 = -84
Hello Missjay12,
Step 1 :
From the coordinates we have to find the slopes and midpoints of the lines.
Step 2 :
Find the slope of the bisectors and now find the equations of two lines by using slope and one mid points.
Step 3 :
Solve any two pair of equations and find the intersection point.
Step 4 :
The point thus found is the circumcenter of the given triangle.
so<span> the coordinates of the circumcenter of a triangle with vertices A(−3, 3) , B(−1, 3) , and C(−1, −1)</span> is, -4, 0.
a. The expression y=5x represent the number of small marbles she has.
b. The expression z=3x+2 represents the number of large marbles she has.
c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Step-by-step explanation:
a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.
Medium marbles = x
Let,
Small marbles = y
According to given statement;
She has five times as many small marbles as medium marbles.
y = 5x Eqn 1
The expression y=5x represent the number of small marbles she has.
b. Write an algebraic expression to represent the number of large marbles she has.
Let,
Large marbles = z
The number of large marbles is two more than three times the number of medium marbles.
z = 3x+2 Eqn 2
The expression z=3x+2 represents the number of large marbles she has.
c. If Amy has a total of 560 marbles, how many of each size does she have?
x+y+z= 560 Eqn 3
Putting value of y and z from Eqn 1 and 2 in Eqn 3
Dividing both sides by 9
Putting x=62 in Eqn 1
Putting x=62 in Eqn 2
Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Keywords: linear equation, substitution method
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Answer:
3/8÷1/4=1 1/2
Step-by-step explanation:
I am not sure what you are asking here, So I am gonna explain how you divide this.
So using the KCF method (Keep Change Flip) You would KEEP the first fraction (3/8) and CHANGE the operation (from divide to multiply) then FLIP your second fraction (1/4 to 4/1)
After doing this, it should look like:
3 4
x
8 1
Now that we got that, you multiply from left to right. 3×4 is 12. 8×1=8.
That should leave you with 12/8. But this is an improper fraction. So you would divide top by bottom to get a mixed fraction.
It should look like this
01. 1 1/2
8 12
8
4
Step by step explanation:
8 only goes into 12 one time. So you would subtract 12 by 8, and get 4. From that you would get 1 4/8 but 1 4/8 can be simplified to 1 1/2.
So it is 1 1/2