Answer:
1 hundred and 3 tens
Step-by-step explanation:
I assume you mean 130 as hundreds and tens and the answer to that would be 1 hundred and 3 tens.
Explanation: 3 x 2 + 10 x + 3 We can Split the Middle Term of this expression to factorise it. In this technique, if we have to factorise an expression like a x 2 + b x + c , we need to think of 2 numbers such that: N 1 ⋅ N 2 = a ⋅ c = 3 ⋅ 3 = 9 and, N 1 + N 2 = b = 10 After trying out a few numbers we get: N 1 = 9 and N 2 = 1 9 ⋅ 1 = 9 , and 9 + ( 1 ) = 10 3 x 2 + 10 x + 3 = 3 x 2 + 9 x + 1 x + 3 = 3 x ( x + 3 ) + 1 ( x + 3 ) ( 3 x + 1 ) ( x + 3 ) is the factorised form for the expression.
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
3
⋅
3
=
9
and,
N
1
+
N
2
=
b
=
10
After trying out a few numbers we get:
N
1
=
9
and
N
2
=
1
9
⋅
1
=
9
, and
9
+
(
1
)
=
10
3
x
2
+
10
x
+
3
=
3
x
2
+
9
x
+
1
x
+
3
=
3
x
(
x
+
3
)
+
1
(
x
+
3
)
(
3
x
+
1
)
(
x
+
3
)
is the factorised form for the expression.
Answer:
x = 8.6603 m
Step-by-step explanation:
If x is the length of a side of the square, the area of the square will be x^2.
So, if the area of the square is 75 ft2, we can formulate the quadratic equation:
x^2 = 75
Now, solving the equation, we just need to make the square root of 75:
x = sqrt(75) = ±8.6603
x1 = 8.6603
x2 = -8.6603
Now, as x represents the length of a side of the square, and measurements can't be negative, we take only the positive value, so:
x = 8.6603 m
9514 1404 393
Answer:
a) attached
b) 100 square inches, 1/4 of the total
c) square root of area
d) multiply by 4
Step-by-step explanation:
a) A diagram is attached
__
b) If the total area consists of 4 squares of the same size, then the area of one square will be 1/4 of the total area. 1/4 of 400 square inches is 100 square inches, the area of one square.
__
c) The area of a square is the square of the side length. You find the side length by finding the square root of the area. √(100 in²) = 10 in, the side length of each square.
__
d) The rectangle is 4 squares laid side by side, so its length is 4 times the side length of one square: 4×10 in = 40 in.
