Answer:
The coordinates of B is (3, - 5)
Step-by-step explanation:
A(6, 1)
C(2, -7)
Coordinates of point B such that AB = 1/3 × BC
Hence we have;
Therefore BC = 3/4 × AC
Hence, AB = 1/3 × BC = 1/3 × 3/4 × AC = 1/4 × AC
AC = √((6 - 2)² + (1 - (-7))²) = √(16 + 64) = √80 = 4·√5
AB = 1/4 × 4·√5 = √5
Therefore;
AB² = (x - 6)² + (y - 1)² = 5
Slope = (1 - (-7))/(6 - 2) = 2
Hence the y coordinate of B = -7 + sin(tan⁻¹(2)) ×√5 = -5
The x coordinate of B = 2 + cos(tan⁻¹(2)) ×√5 = 3
The coordinates of B = (3, - 5)
Answer:
The customer saves 5.9 - 5.5 = $0.5
when he shops at store B
Step-by-step explanation:
Stores A and B sells bananas at different prices per pound.
Bananas are being sold for $0.59 a pound at Store A and $0.55 a pound at Store B.
If a customer wants to buy 10 pounds of bananas from store A and store B,
The customer would spend 0.59 × 10 pounds of bananas = $5.9
buying from store A and
The customer would spend 0.55 × 10 pounds of bananas = $5.5
buying from store B.
The customer spends more for 10 pounds of bananas if he buys from shop A.
The customer saves 5.9 - 5.5 = $0.5
when he shops at store B
ΔThe Answer to your question is D).<span>109.2%</span>Δ
To determine whether the corresponding terms of 2 arithmetic sequence's added will give new arithmetic sequence or not, Let' take 2 Arithmetic sequences.
In one first term is a1 and common difference is d1, in the other first term is a2 and common difference is d2.
Now nth term for first sequence = a1+(n-1) d1
nth term for second sequence = a2+(n-1) d2
Now add the 2 terms: a1+(n-1)d1 +a2 +(n-1)d2
= a1+a2 + (n-1)(d1+d2)
This is again new arithmetic sequence with first term a1+a2 and common difference d1+d2.
Hence if we add corresponding terms of 2 arithmetic sequence, we will again get an arithmetic sequence.
Answer:
Step-by-step explanation:
Set up the binomial.
Multiply the binomial.
Apply difference of squares rule
