On the x axis means that the y value is 0 or the point is (x,0)
distance formula
D=

we know that distance is 5
the first point is (x1,y1)
the (x2,y2) is (x,0)
so
D=5
x1=-8
y1=3
x2=x
y2=0
5=

5=

5=

5=

square both sides
25=

minus 25 both sides
0=x^2+16x+48
factor
0=(x+4)(x+12)
set each to zero
x+4=0
x=-4
x+12=0
x=-12
the points are
(-4,0) and (-12,0)
Answer:
6y + 48
Step-by-step explanation:
Use distributive property 6 x y = 6y
(keep the plus sign btw)
6 x 8 = 48
then place it in order: 6y + 48 is your algebra expression
Answer:
60
Step-by-step explanation:
Put in Parentheses.
(5 + 1) x 10 =
Solve numbers inside parentheses.
5 + 1 = 6
Now we have 6 x 10.
6 x 10 = 60
Answer:
-22d -102
Step-by-step explanation:
8(−5d−9)−3(−6d+10)
Distribute
-40d -72 +18d -30
Combine like terms
-40d +18d -72 - 30
-22d -102
Step-by-step explanation:
the 2 angles marked with orange and green are equal becos the question said that the indicated angles are congruent meaning same deg. so 180 - that given angle = the 2 marked angles (based on the rule known as angles on a str line are supplementary)
since the 2 marked angles are same, you can say that d and k are parallel due to the rule of alternate angles
Topic: angle properties
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!