Answer:
ok
Step-by-step explanation:
d) You have a <u>difference of squares</u>:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the <u>sum-product method</u>. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the <u>sum-product method</u>. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
Width = w
length = w + 10
perimeter 2w+2l=184
2w + 2(w+10) = 184
2w + 2w + 20 = 184
4w = 164
w = 164/4 = 41
w = 41
l = 51
Area = wl
Area = 41×51 = 2091 Sq ft
Answer:
295 minutes
Step-by-step explanation:
It is given that Speedy the Sloth drinks tea at a steady rate of 2/7 cups per hour.
Yesterday she drank 1 cup and today she drank 17/42 of a cup more than yesterday. This means today she drank 1 + 17/42 cups.
Time taken to drink 2/7 of a cup = 1 hour = 60 minutes
Time taken to drink 1 cup =
minutes
Time taken to drink 1+17/42 cups =
minutes
Since she drinks tea as long as she stay awakes. This means, she stayed awake for 295 minutes today.
I think that it is -762/(762-721)% or -18.58...% so -18.6%