Answer:
m = 18
Step-by-step explanation:
Given :
=> -15 is a root of the polynomial
=> It is a zero to the solution.
Process :
Substitute -15 in place of x.
=> (-15)² + (-15)m + 45 = 0
=> 225 + 45 - 15m = 0
=> 15m = 270
=> m = 270/15
=> m = 18
Answer:
35.1 units
Step-by-step explanation:
Imagine a right-angled triangle with RS as hypotenuse. The base would be 3 units and the height would be 6 units. By Pythagorus:
RS²=3²+6²
RS=≈6.7 units
Imagine a right-angled triangle with RT as hypotenuse. The base would be 9 units and the height would be 12 units. By Pythagorus:
RT²=9²+12²
RT= = 15 units
Imagine a right-angled triangle with TS as hypotenuse. The base would be 12 units and the height would be 6 units. By Pythagorus:
TS²=12²+6²
TS=≈13.4 units
Perimeter=RS+RT+TS
=6.7+15+13.4
=35.1 units
First: Slope of -x+2y=42y=x+4y=x/2+2So, m=1/2.
Second: Slope of the perpendicular line: mp=-2.
Third: Find the line with slope -2 and passes through the point (−2, 1)y-y1=m(x-x1)y-1=-2(x+2)y=-2x-4+1y=-2x-3
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Answer:
The step 4 and 5 describe the errors Stephen made.
Step-by-step explanation:
Given : Stephen evaluated . His work is shown below.
To find : Which two statements describe the errors Stephen made?
Solution :
Step 1 -
Step 2 -
Step 3 -
Step 4 -
Error is the step as 4 sign is negative.
So correct step is
Step 5 -
Error is the step as there is 4 in place of 3.
So correct step is
The step 4 and 5 describe the errors Stephen made.
Answer:
The sum of x and y is 8.
Step-by-step explanation:
x+2y=10
x-2y=2
------------
2x = 12, so x = 6. Substituting 6 for x in the 2nd equation, we get:
6 - 2y = 2, or
4 = 2y, or y = 2. The solution is therefore (6, 2).
The sum of x and y is 6 + 2 = 8 (answer)