1) First we need to find midpoint M of segment AB.
... M = (A+B)/2 = ((2+8)/2, (0+4)/2) = (5, 2)
Then vector AB is B-A = (8-2, 4-0) = (6, 4)
and vector PM is P-M = (3-5, 5-2) = (-2, 3)
The latter has slope that is 3/-2 = -3/2. The former has slope that is 4/6 = 2/3.
The product of these slopes is -1, indicating these vectors are perpendicular.
2) Vector PA is P-A = (3-2, 5-0) = (1, 5).
Vector PB is P-B = (3-8, 5-4) = (-5, 1).
The lengths of both of these vectors are √(1²+5²) = √26.
The answer to your first question would be B, because in the word problem it says that she buys 6 pots, so therefore we can eliminate A and C. We are left with B and D. Now looking at the second equation, we see that x represents the 5 inch pots, which are $12. This would mean 12x, because if she bought 1 5 inch pot, she would spend $12, and the same way, 10 inch pots are represented by y, or $15. Pretty much, multiply the number of 10 inch pots she buys by 15. Therefore the answer is B.
Question 3 says that the sum of their ages are 105. So the first equation should be S + R = 105. The second part of the question says that Sara is 33 years younger than Rolando. This means 33 + Sara's age, represented by S, should equal Rolando's age. That is S + 33 = R.
Hope this helps. Please rate, leave a thanks, and mark a brainliest answer (Not necessarily mine). Thanks, it really helps! :D
Answer:
Step-by-step explanation:
The area of a sector is given by;
From the given information, the central angle is
and
Let us substitute and solve for the radius, r.
The area of a circle is given by:
Substitute the radius to get:
Answer:
<em>The answer will be: </em>
Step-by-step explanation:
<em>In Partial quotients method, first we will subtract an easy multiple of the divisor from the dividend. Then repeat the subtraction until the remainder is less than the divisor. Finally, we need to add up all the multiples of the divisor to find the quotient of the division.</em>
Here, dividend is 858 and divisor is 57.
<u> - 570 </u> × 10
288
<u> - 285 </u> × 5
3
So, the <u>quotient of the division</u> will be: and the remainder is: 3
We can write the answer as:
Answer:
Answers below
Step-by-step explanation:
1. 77,915.06
A=2*50( this is a subscript 50)+(50+50+50)505
2. 5.47×105 or 547,000
3. 211045.04
I'm pretty confident that these are all correct but double check them first.