Answer:
4(x+2) = 4*x + 4*2 = 4x+8
3(a+2) = 3*a + 3*2 = 3a + 6
2(x+3) = 2*x + 2*3 = 2x +6
Hope this help you :3
Answer:
Step-by-step explanation:
<u>Prime factors of 2100 are:</u>
<u>The single-digit divisors are:</u>
- 1, 2, 3, 2*2= 4, 5, 2*3= 6, 7
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<u>Another solution is you divide 2100 by all numbers 1 through 9 and list those divisible:</u>
- 2100/1 = 2100, yes
- 2100/2 = 1050, yes
- 2100/3 = 700, yes
- 2100/4 = 525, yes
- 2100/5 = 420, yes
- 2100/6 = 350, yes
- 2100/7 = 300, yes
- 2100/8 = 262.5, no
- 2100/9 = 233.33, no
So all the numbers from 1 to 7
Answer:
-15/16 or -0.9375
Step-by-step explanation:
3/5x=6 +7x
3x=30+35x
3x-35x=30
-32x=30
x= -15/16
Answer:
The length of line segment is 5
Step-by-step explanation:
we are given equation of parabolas as


Firstly, we will find intersection points
we can set them equal
and then we can solve for x

Multiply all sides by 8



now, we can factor it



now, we can find y-values
At x=-1:

y=2
so, we get point as
(-1,2)
At x=3:

y=-1
so, we get point as
(3,-1)
now, we can find distance between these two points
(-1,2)
x1=-1 , y1=2
(3,-1)
x2=3 , y2=-1
now, we can find distance

now, we can plug values


So,
The length of line segment is 5
The angles of a quadrilateral add to 360, so we can solve for x by adding the 4 angle measures together and setting it equal to 360:
90 + 140 + (x - 10) + (x - 20) = 360
Combine like terms:
230 + 2x - 30 = 360
200 + 2x = 360
200 - (200) + 2x = 360 - (200)
2x = 160
Divide both sides by 2:
2x/(2) = 160/(2)
x = 80