Answer:
3/5
Step-by-step explanation:
Answer:
(x – 3)(x + 15)
Step-by-step explanation:
Consider the form x2 + bx + c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -45 and whose sum is 12.
Write the factored form using these integers.
(x – 3)(x + 15)
Answer:
Plane R
Plane DEG
Plane FDG
Plane FEG
Step-by-step explanation:
You can name the plane by the script letter "R", and you can name the plane with any three co-linear points on the plane
Answer:
slope=6/5
Step-by-step explanation:
The formula for finding the slope is y1-y2/x1-x2=slope. So if we substitute in the numbers from you question, it would be (-3-3)/(-2-3)=slope
(-3-3)/(-2-3)=slope
-6/-5=slope
6/5=slope
Answer:
perimeter is 4 sqrt(29) + 4pi cm
area is 40 + 8pi cm^2
Step-by-step explanation:
We have a semicircle and a triangle
First the semicircle with diameter 8
A = 1/2 pi r^2 for a semicircle
r = d/2 = 8/2 =4
A = 1/2 pi ( 4)^2
=1/2 pi *16
= 8pi
Now the triangle with base 8 and height 10
A = 1/2 bh
=1/2 8*10
= 40
Add the areas together
A = 40 + 8pi cm^2
Now the perimeter
We have 1/2 of the circumference
1/2 C =1/2 pi *d
= 1/2 pi 8
= 4pi
Now we need to find the length of the hypotenuse of the right triangles
using the pythagorean theorem
a^2+b^2 = c^2
The base is 4 ( 1/2 of the diameter) and the height is 10
4^2 + 10 ^2 = c^2
16 + 100 = c^2
116 = c^2
sqrt(116) = c
2 sqrt(29) = c
Each hypotenuse is the same so we have
hypotenuse + hypotenuse + 1/2 circumference
2 sqrt(29) + 2 sqrt(29) + 4 pi
4 sqrt(29) + 4pi cm
