Answer:
The slope is zero
Step-by-step explanation:
We can find the slope of a line given two points by using
m = (y2-y1)/(x2-x1)
= (0-0)/(10-5)
= 0/5
=0
It would be five times as many planes so 12*5=60 planes
Answer:
see explanation
Step-by-step explanation:
xyz + 1 ← has 2 terms
xyz is one term and the other is the constant term + 1
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
-(1 + 7x) - 6(-7 - x) = 36
Step 2: Solve for <em>x</em>
- Distribute: -1 - 7x + 42 + 6x = 36
- Combine like terms: -x + 41 = 36
- Subtract 41 on both sides: -x = -5
- Divide both sides: x = 5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-(1 + 7(5)) - 6(-7 - 5) = 36
-(1 + 35) - 6(-12) = 36
-(36) + 72 = 36
-36 + 72 = 36
36 = 36
Answer:
This shaded region is consisted of 2 shapes: a right triangle and a semi-circle. To find the overall area, we must first find the are of the 2 shapes and add them together.
Step-by-step explanation:
1. Find the area of the right triangle:
a = 14, b = 2r = 8cm
A1 = ab/2 = 112/2 = 56cm²
2. Find the area of the circle:
r = 4 cm
A2 = πr² = 3.14 × 4² = 50.24cm²
3. Divide the area of the circle to get the area of the semi-circle:
A3 = A2/2 = 50.24/2 = 25.12cm²
4. Add the areas of the right triangle and the semi-circle together:
A1 + A3 = 56 + 25.12 = 81.12cm²