Answer:
fourth number is 9
Step-by-step explanation:
let 'x' equal the fourth number
(5+7+7+x)/4 = 7
cross-multiply to get:
19 + x = 28
x = 9
Answer:
B
Step-by-step explanation:
x(2x + 3)
Expand the brackets.
x(2x)+x(3)
Multiply the terms.
2x² + 3x
The answer is 2x² + 3x.
Please use the solution below:
Let P = perimeter, A = area
As provided above, a = xy and
We know that the formula to solve for the perimeter of a rectangle is P = 2x + 2y. Using the given 112m, we can solve the perimeter using the formula:
112 = 2x + 2y
56 = x + y
x = 56-y or y = 56-x
Let's solve the perimeter in terms of y using the formula below:
A = (56-y)(y)
Find the derivative of A = 56-y^2 to get the value of y.
dA/dy = 56-2y = 0
y = 56/2
y = 28
To find X, substitute the value of y in the equation x = 56 - y.
x = 56 - 28
Therefore, x = 28.
We can conclude that the figure is not a rectangle but a square.
we know that
The formula to calculate the slope between two points is equal to
<u>Part a) Find the slope of line PQ</u>
substitute in the formula
Any line parallel to X-axis has slope equal to zero
so
the line PQ is parallel to the x-axis
therefore
<u>the answer Part a) is </u>
<u>Part b) Find the slope of line MN</u>
substitute in the formula
Anything divided by zero is undefined
m=undefined
therefore
<u>the answer Part b) is </u>
undefined
<u>Part c) How are the two lines related ? </u>
we know that
Any line perpendicular to X-axis has slope undefined
Because the term 
will always be zero
so
<u>the answer Part c) is</u>
the lines are perpendicular
Answer:
x = 4
Step-by-step explanation:
If the lonely negative sign infront of the brackets is confusing, it can be rewritten as -1.
To solve, simplify by expanding then isolate x.
-8 = -( x +4)
-8 = -1 ( x +4) Distribute over brackets by changing the each term's sign
-8 = -x - 4 Start isolating x by moving everything to the other side
-8 +4 = -x -4 + 4 Add 4 to both sides so it cancels out on the right
-4 = -x
-4 = -1x <= -x is the same at -1x
-4/-1 = -x/-1 <=divide both sides by negative 1
4 = x
x = 4 <= usually we write the variable on the left side
