Answer:
m = 1
Step-by-step explanation:
<u>2(m+2) - (2m-1)</u> = <u>5</u>
(m+2)(2m-1) 3
2m² -1m + 4m -2 = 3
2m² + 3m - 5 = 0
(2m+5)(m-1) = 0
m = 1 This is the only value that satisfies the equation
m = -5/2
Answer:
26.75 units ^2
Step-by-step explanation:
Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:
Triangle 1 = 1/2 x 2 x 5 = 5 units ^2
Triangle 2 = 1/2 x 2 x 2 = 2 units ^2
Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2
Square = 2 x 2 = 4 units squared.
Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.
Hope this helps
Answer:
408
Step-by-step explanation:
The answer is like adding 34, 12 times. Example:
34+34+34+34+34+34+34+34+34+34+34+34=408
^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^
1 2 3 4 5 6 7 8 9 10 11 12
Answer:
x=+6
Step-by-step explanation:
First, let's divide both sides of the equation by
3
:
⇒
3
x
2
3
=
108
3
⇒
x
2
=
36
Then, let's subtract
36
from both sides:
⇒
x
2
−
36
=
36
−
36
⇒
x
2
−
36
=
0
The left-hand side of the equation is now in the form of a difference of squares.
We can factorise it in the following way:
⇒
(
x
+
6
)
(
x
−
6
)
=
0
Using the null factor law:
∴
x
=
±
6
Therefore, the solutions to the equation are
x
=
−
6
and
x
=
6
.
