Expand the binomial first, then distribute the 4:
4 (<em>x</em> + 1)² = 4 (<em>x</em> ² + 2<em>x</em> + 1)
… = 4•<em>x</em> ² + 4•2<em>x</em> + 4•1
… = 4<em>x</em> ² + 8<em>x</em> + 4
The 13 stripes alternate red and white: 7 red and 6 white.
Each of 13 stripes is (39 in. / 13) = 3 in. wide.
4 of the 7 red stripes are 39 in. long. The other 3 are 65 in. long.
The total area (l*w) of the flag is (65 in.)*(39 in.)=2535 sq. in.
The red stripes make up an area (l*w) that is:
4*(area of short stripes) + 3*(area of long stripes)
Red area is 4*(39*3) + 3*(65*3) = 1053 sq in.
The fraction of the flag that is red is:
1053 sq. in. / 2535 sq. in.
Answer:
1. 3, 2, 1
2. 6, 7, 8
3. -2, -1, 1
4. -5, -6, -7
5. -34, -35, -36
6. 1, 2, 3
7. -11, -12, -13
8. -10, -9, -8
9. 11, 12, 13
10. 21, 22, 23
Step-by-step explanation:
All that was required was to write numbers that were smaller < or bigger > than the given number. Hope this helps:)
1) Multiply both sides by x²
2) Divide both sides by 25
3) Square root both sides
Viola!
Answer: 10.2 mph
Step-by-step explanation:
total runtime of the bike trip: 4hrs, 42 mi total
12 hrs has her 122 mi from home
our rate can be found by taking the miles and dividing it by the hours:
122/12 = 10.2
