Answer:
9. 6k + 5 and 2k - 1.
10. 5√2 .
Step-by-step explanation:
9. Area = 12k^2 + 4k - 5
Factoring:
12k^2 - 6k + 10k - 5
= 6k(2k - 1) + 5(2k - 1)
= (6k + 5)(2k - 1)
So the required lengths are 6k + 5 and 2k - 1.
10. The ratio of a leg to the hypotenuse is 1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2
= 10 √2 / 2
= 5√2 .
√x + 9 - 4 = 1
√x + 5 = 1
√x = -4
√x = √-4
x = 2i
Answer:
D. Batch 5.
Step-by-step explanation:
The batch should have the same proportion of blue to white to yellow.
In Batch 1, there are two parts of blue, 1.5 parts of white, and 1 part of yellow.
In Batch 5, there are four parts of blue, 3 parts of white, and 2 parts of yellow.
4 / 2 = 2
3 / 2 = 1.5
2 / 2 = 1
Since the proportions are equal to those found in Batch 1, D. Batch 5 will create the same colors as the first batch.
Hope this helps!
Answer:
The discount = $1,128
New price = $17,672
Step-by-step explanation:
Price of car before discount = $18,800
Discount given = 6% of price of car
Discount value in dollars = 6% of $18,800 = 6/100*$18,800 = $1,128
Thus, the discount is $1,128
New price = Price of car before discount - discount = $18,800- $1,128
New price = $17,672
Answer:
x=2.50
Step-by-step explanation:
But I am not sure if its positive or negative.
