Answer:
Step-by-step explanation:
Let the length and breadth of the rectangle be a,b units respectively.
Then the area will be ab square units.
Now if the length of the rectangle is reduced by 5 units and breadth is increased by 2 units then new length and breadth will be (a−5) units and (b+2) units.
Then new area will be (a−5)(b+2).
Then according to the problem,
(a−5)(b+2)−ab=−80
or, 2a−5b=−70.......(1).
Now if length of the rectangle is increased by 10 units and breadth is decreased by 5 units then new length and breadth will be (a+10) units and (b−5) units.
Then new area will be (a+10)(b−5).
Then according to the problem,
(a+10)(b−5)−ab=50
or, 10b−5a=100
or, 2b−a=20
or, 4b−2a=40......(2).
Now adding (1) and (2) we get
−b=−30
or, b=30.
Putting the value of b in (1) we get, a=40.
Now a+b=40+30=70.
<span>There are infinite numbers between 0.4 and 0.5. The reason is that there are infinite rational as well as irrational numbers between 0.4 and 0.5, therefore, we cannot exactly give all the numbers between 0.4 and 0.5.
</span>
These are <span>the numbers</span>
0.41,0.42,0.43.0.44,0.45,0.46,0.47,0.48,0.49
Answer:
13 units
Step-by-step explanation:
(-1,5) and (4, -7)
To find the distance of two points, we use the distance formula:

Let's plug in what we know.

Evaluate the double negative.

Evaluate the parentheses.

Evaluate the exponents.

Add.

Evaluate the square root.

13 units
Hope this helps!
The equation :
6x - 10 = 32
the number
x = 7
a is given to us so just plug a into the first equation:
b-3 - 3b =9
Add 3 to both sides:
b-3b=12
Combine like terms:
-2b=12
Divide by -2 to get b by itself:
b=-6
The only answer with b as -6 is the first one, (-9,-6)