Answer:
Step-by-step explanation:
Givens
Area = L * w
w = x
l = x + 4
Area = 32
Solution
32 = x(x + 4)
32 = x^2 + 4x
x^2 + 4x - 32
(x + 8)(x - 4)
Only x - 4 is going to make any sense
x - 4 = 0
x = 4
The width is 4
The length is 4 + 4 = 8
4*8 = 32 which is the area.
Answer:
D.
Step-by-step explanation:
The equation given takes the point-slope form which is, 
. Where,
(a, b) = (x, y) coordinates of a point on the line.
m = slope of the line .
To find which graph has a line equation of 
, look for the points which will give you something almost exactly as the equation if you substitute their values into .
Let's consider option D.
We have a given point (1, 2). a = 1, b = 2.
Substitute these into
We have:
As you can see, this looks almost exactly as
.
If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into to find m:
In graph D, let's take the points (0, -1)
Divide both sides by -1
3 = m
m = 3.
Therefore, option D is the graph of the line .
Let the lesser number be x and y the greater. Then
x + 65 = 4y , Also
y - x = 2
Adding:-
y + 65 = 4y + 2
63 = 3y
y = 21
and
x = 21-2 = 19
Answer the 2 odd numbers are 19 and 21.
To find the value of C: Use the Pythagorean Theorem
4^2 + 3^2 = c^2
16 + 9 = c^2
25 = c^2
sqrt of 25 = c
c = 5
Answer:
A number minus the product of
4
and its reciprocal is less than zero. Find the numbers which satisfy this condition.
AAny number less than
−
2
or between
0
and
2
BAny number between
−
2
and
2
CAny number less than
2
DAny number between
0
and
2
Solution
Let the number be x
Then
x
−
(
4
×
1
x
)
≤
0
⇒
x
≤
4
x
⇒
x
2
≤
4
⇒
|
x
|
≤
2
⇒
−
2
≤
x
≤
2
Step-by-step explanation:
