The solution to system is x = 0 and y = -1
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-8x + 2y = -2 ----------- eqn 1
4x + 4y = -4 ---------- eqn 2
We have to solve the system of equations
We can solve the equations by elimination method
<em><u>Multiply eqn 2 by 2</u></em>
8x + 8y = -8 ------ eqn 3
<em><u>Add eqn 1 and eqn 3</u></em>
-8x + 2y = -2
8x + 8y = -8
( + ) ---------------
0x + 2y + 8y = -2 - 8
10y = -10
Divide both sides by 10
y = -1
<em><u>Substitute y = -1 in eqn 1</u></em>
-8x + 2(-1) = -2
-8x - 2 = -2
-8x = -2 + 2
x = 0
Thus the solution to system is x = 0 and y = -1
The answer would be 14
Explanation:
If you look on a number line and start from 15 then from there you minus 6 which equals 9 then you minus 5 which equals 4 and add 10 which equals 14 and that 14 is on the positive side of the number line. So 14 is your answer.
Answer:
y = 
x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ = x- intercept (10, 0) and (x₂, y₂ ) = y- intercept (0, - 2)
m = 
= 
=
The y- intercept c = - 2
y = x - 2 ← equation of line
Answer: Area of sidewalk is 217m²
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle
π is a constant whose value is 3.14
A circular flower bed is 20 meters in diameter.
radius = diameter/2 = 20/2 = 10 meters
Area of the flower bed = 3.14 × 10²
= 314m²
The circular flower bed has a circular sidewalk around it that is 3 meters wide. This means that the total diameter would be
3 + 20 + 3 = 26m
Radius = 26!2 = 13m
Total area = 3.14 × 13² = 530.66m²
Therefore, area of the sidewalk is
530.66 - 314 = 216.66
The area of sidewalk is 217m² to the nearest whole number
Step-by-step explanation:
We're going to be evaluating if we can round 2. (Values in the 10's place)
The value in the 'ones' place has to be greater than or equal to 5 in order to round up 2.
Since 8 is greater than 5, we can round up 2.
<u>Rounded answer:</u>
38830
