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guajiro [1.7K]
3 years ago
9

Melvin is building a castle with a series of towers out of blocks. Each tower has twice as many blocks as the previous tower, an

d then 3 more. If the first tower has x^2+2x+3 blocks in it, and Melvin builds 5 towers in all, how many blocks will he have used in total?
Mathematics
1 answer:
Aneli [31]3 years ago
8 0
X^2+2x+3+2(x^2+2x+3)+3+4(x^2+2x+3)+6+8(x^2+2x+3)+9+16(<span>x^2+2x+3)+12
add that up  and you will get your answer and you get </span><span>31x²+62x+123</span>
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Place a point D along AC such that BD is an altitude of ABC. Using coordinate algebra, find and record the coordinates of point
aliya0001 [1]

Sample answer from Edmentum

Answer:

D = (9.6,0). AC is horizontal with y=0 at all points on AC. Also, because BD is an altitude, it forms a right angle with AC, so BD is a vertical line. For all points on BD, x= 9.6.

Hope this helps, have a good day (:

7 0
2 years ago
Can someone help me with this??
dusya [7]

Answer:

Carlos and Pamela drove 120 miles on the first day, 240 miles on the second day, and 290 miles on the third day.

Step-by-step explanation:

Let x be the number of miles driven on the first day.

Then they drove twice as many miles, or 2x on the second day

and 50 miles more than the second day's, so 2x + 50

The total is 650 across all three days, so we'll take the sum.

x + 2x + (2x + 50) = 650

Combine like terms on the left

5x + 50 = 650

Subtract 50 on both sides

5x = 600

Divide by 5 on both sides

x = 120

Check work:

120 + 2(120) + 2(120) + 50 = 650

120 + 240 + 240 + 50 = 650

600 + 50 = 650

650 = 650

So they drove 120 miles on the first day

2*120 = 240 miles on the second day

and 2*120 + 50 = 240 + 50 = 290 miles on the third day

4 0
2 years ago
17/22 as a decimal rounded to the nearest hundredth.
wariber [46]

Answer:

0.77

Step-by-step explanation:

17/22=0.772727273

Rounded to the nearest hundredth that would be

0.77

3 0
3 years ago
Read 2 more answers
Find m∠1 if m∠2=73°, m∠3=107°, m∠4=92°. Justify your response!
a_sh-v [17]

Answer:

m∠1 = 92°

Step-by-step explanation:

∠2 corresponds to the supplement of ∠3 if (and only if) lines a and b are parallel. We find that

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so, the angles are supplementary and lines a and b are parallel.

Angles 4 and 1 are corresponding angles where the line d crosses the parallel lines a and b, so are congruent.

m∠1 = m∠4 = 92°

7 0
2 years ago
When Marco swim, the number of calories burned after time x, In minutes, is given by the equation
Cloud [144]
Answer : 4. 576


Y= 330 + 8.2(30)

330 +246

576




4 0
2 years ago
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