Answer:
Step-by-step explanation:
Given
Required
Determine the coordinates of S
Midpoint is calculated as:
Where:
Substitute these values in the above formula:
Multiply through by 2
By direct comparison:
and 
Solving for x2
Solving for y2
Hence, the coordinates of S is:
Answer:
B. -4
Step-by-step explanation:
We want to find x such that f(x)=18.
We need to therefore solve 9x+54=18 forx.
9x+54=18
Divide both sides by 9:
(9x+54)/9=18/9
9x/9+54/9=18/9
Simplify:
x+6=2
Subtract 6 on both sides:
x=2-6
Simplify
x=-4.
So f(-4) should have value 18.
Let's check.
f(x)=9x+54
f(-4)=9(-4)+54
f(-4)=-36+54
f(-4)=18
So the answer is B.
Answer:
y = -4x + 5
Step-by-step explanation:
This linear function can be represented through the slope-intercept form, or y=mx+b. You already know your m value, 4, which is your slope. From there you can plug in your coordinate into the y and x values to find your y-intercept, or b.
y = mx + b
-3 = -4(2) + b
b = 5
Then you put it all together to form the equation f(x) = -4x + 5
Answer: see below
<u>Step-by-step explanation:</u>
x + 2:
a number x plus 2
the sum of a number x and 2
x - 2:
a number x minus 2
the difference of a number x and 2
2x:
two times a number x
twice a number x
x ÷ 2:
a number x divided by 2
the quotient of a number x and 2
Answer:
x = 84
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, thus
sum = 180° × 3 = 540°
Sum the interior angles and equate to 540 for x
131 + 108 + 107 + 110 + x = 540, that is
456 + x = 540 ( subtract 456 from both sides )
x = 84
