#5 so the x-intercept is (1,0) and y-intercept is (0,3)
#6 the x-intercept is (-2,0) and y-intercept is (0,4)
And then
#7 so make x=0 for y intercept. So
y=3(0)+6
y=6
So the y-intercept is (0,6)
Then for x-intercept make y=0
So
3x-6=0
Solve for x.
3(x-2)=0
Divide both sides by 3
x-2=0
Add 2 to both sides
x=2
So
x-intercept is (2,0)
#8 make y=0 for x-intercept so you get
0+2=|x-4|
2=|x-4|
x-4=2 or x-4=-2
x=6 or x=2
So your x intercepts for that one are (6,0) and (2,0)
Lastly for y-intercept you make x=0 and solve for y
So you get
y+2=|0-4|
y+2=|-4|
y+2=4
y=6
So the y-intercept for that one is (0,6)
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Answer:
The commutative postulate for multiplication
Step-by-step explanation:
The height of the door in the actual playhouse would be 4.5 ft
Answer:
12, 23, 48, 325
Step-by-step explanation:
So, when given two inequalities and asked to find the values that make both true, it is considered a system of equations. To solve a system of equation, you have to graph the inequalities and find where they intersect.
Inequality 1:
(-3x) + 5 < (-10)
Inequality 2:
7x + x - 4 > 28
simplifies to: 8x - 4 > 28
When graphed, the inequalities don't intersect, but rather have a similar shaded area overlapping from the point of 5 and greater.
Answers that apply from given list would be:
12, 23, 48, 325
Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.
And the expressions for each arc in the diagram also given as:
Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.
Hence, we will get the system of equations as following:
Arc QR = Arc LN
2x - y = 11 ...(1)
Arc OP = Arc VW
5x + y = 10 ...(2)
We need to find the value of x. So, we can add the equations to eliminate y so that we can solve the equations for x. Therefore,
2x+5x = 11 + 10
7x = 21
Divide each sides by 7.
So, x= 3