Step-by-step explanation:
1. slope (m) = <u>y2-y1</u>
x2-x1
= <u>3-1</u>
4-1
= 2/3
2.slope (m) = <u>y2-y1</u>
x2-x1
= <u>4</u><u>-</u><u>0</u>
-2-10
= -4/12
= -1/3
3. slope (m) = <u>y2-y1</u>
x2-x1
= <u>-</u><u>5</u><u>-</u><u>5</u>
-8+4
= -10/-4
= 5/2
4. slope (m) = <u>y2-y1</u>
x2-x1
= -<u>2-4</u>
10+2
= -6/12
= -1/2
OK done hope it helps
Answer:
12 ft
Step-by-step explanation:
You have a right triangle with the hypotenuse = 13 and one leg = 5
Let x = distance above the ground that the ladder touches the wall
Now use the Pythagorean theorem

It looks like none of the choices are correct, because the answer is 12 ft.
By the way, it is impossible for the ladder to reach up the wall a distance longer the the length of the ladder. Think about it. OK?
Answer:
D
Step-by-step explanation:
rule: Diametre includes the centre of a circle.
According to the given conditions AB and DE are diameters.
Answer:
a = 1/2 (1 ±sqrt(47))
Step-by-step explanation:
a^2-a+12=0
We will complete the square
Subtract 12 from each side
a^2-a+12-12=0-12
a^2-a=-12
The coefficient of a = -1
-Divide by 2 and then square it
(-1/2) ^2 = 1/4
Add it to each side
a^2 -a +1/4=-12 +1/4
(a-1/2)^2 = -11 3/4
(a-1/2)^2= -47/4
Take the square root of each side
sqrt((a-1/2)^2) =sqrt(-47/4)
a-1/2 = ±i sqrt(1/4) sqrt(47)
a-1/2= ±i/2 sqrt(47)
Add 1/2 to each side
a-1/2+1/2 = 1/2± i/2 sqrt(47)
a = 1/2± i/2 sqrt(47)
a = 1/2 (1 ±sqrt(47))
Answer mon
Step-by-step explanation: