Answer:
7(3a + 5)
Step-by-step explanation:
Rewrite 21 as 7 · 3
Rewrite 35 as 7 · 5
Therefore,
⇒ 21a + 35 = 7 · 3a + 7 · 5
Factor out common term 7:
⇒ 7 · 3a + 7 · 5 = 7(3a + 5)
Then vertex B’ is at (1,1)
proof: the translation from A to A’ is (7,-4) therefore applying the same conditions to B would give you the outcome of (1,1)
Answer:
To multiply two minus numbers they will result as a positive number.
the product of any numbers when there is a negtive will always have 2 negtives invlved form three numbers including the answer.
-4 x -1.5 is the same as 4 x 1.5
the answer is 6
Three numbers like -1 x 4 will also be 2 numbers of negative.
= -4
We change this to -4 x 1.5 and shows the answer as -6
But the question had 2 negative numbers already and the answer is just positive 6.
Let the width be x.
Length is 8 feet more than width. Length = x + 8
Area = x(x + 8)
width increased by 4, that is, (x + 4)
Length decreased by 5, (x + 8 - 5) = (x + 3)
Area = (x + 4)(x +3)
Area remains the same
x(x + 8) = (x+4)(x +3)
x² + 8x = x(x +3) + 4(x +3)
x² + 8x = x² +3x + 4x +12
x² + 8x = x² +7x +12 Eliminate x² from both sides
8x = 7x + 12
8x - 7x = 12
x = 12
Dimensions of original rectangle : x, x + 8
12, 12 +8 = 12, 20
Original rectangle is 20 feet by 12 feet
4 + 2x = 7
2x = 7 - 4 = 3
x = 3/2 = 1.5 inches
