Let point A(x,y) be the point on the x-axis. All points that lie on the x-axis have y-coordinate equal to 0, then A(x,y).
Find the distance from point A to point (12,-5):
This distance is equal to 13, then
You get two ponts (0,0) and (24,0).
<span>The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 39 are 1, 3, 13, and 39. A GCF, or greatest common factor, is the largest (greatest) number that divides two numbers. From the lists, we see that this is 3. If we factor out the 3 from both 12 and 39 essentially undoing the distributive property, we are left with the product 3 * ( 4 + 13 ).</span>
4/17=x/100 》400\17=x 》x=23.5
Answer:
3. 72= (x)+(x+1)+(x+2) where x= the smallest number
72=3x+3
-3 -3
69=3x
/3 /3
x=23
x+1=24
x+2=25
smallest is 23
4. 48= (x)+(x+2)+(x+4)
48= 3x+6
-6 -6
42=3x
/3 /3
x=14
x+2=16
x+4=18
smallest is 14
5. all erasers were the same cost
25= 4x+5 (x= cost of erasers)
-5 -5
20=4x
/4 /4
x=5
each cost $5
6. b= boxes
22= b/2 +7
-7 -7
15=b/2
multiply both sides by 2 to cancel the denominator
30=b
30 boxes originally
7. 40= total
8= left
2= balls given to each
x=number of friends
40= 2x+8
-8 -8
32=2x
/2 /2
x=16
she has 16 friends
8. 12= left
a= total allowance
12= (a/2) +4
-4 -4
8= a/2
multiply both sides by 2 to cancel the denominator
a= $16
she had an allowance of $16
9. 4 (2) = amount that her four children recieved
10=amount she took for herself
x= original
x= 4(2) + 10
x= 8 +10
x=18
she started with 18 candies
10. a= age
244= 400 - 2a
-400 -400
-156= -2a
/-2 /-2
a= 78
they are 78 years old
11. c= comic books
36= c/2 + 16
-16 -16
20=c/2
multiply both sides by 2 to cancel the denominator
c=40
she started with 40 comic books
12. b= students in buses
472= 9b + 4
-4 -4
468=9b
/9 /9
b= 52
52 students went in each bus
13. h= hats
17= h/2 +5
-5 -5
12=h/2
multiply both sides by 2 to cancel the denominator
h=24
she had 24 hats on monday
14. p= pies the club made
60= (p+4)/5
multiply both sides by 5 to cancel the denominator
300=p+4
-4 -4
p= 296
the club made 296 pies
Step-by-step explanation:
Hello,
f(x)-2x-7
g(x)=-4x+3
(fog)(x)=f(g(x))=f(-4x+3)=-2(-4x+3)-7=8x-6-7=8x-13
(fog)(-5)=8*(-5)-13=-53
