Answer:
1/ab
Step-by-step explanation:
Complete question
Find the slope of the line containing the points whose coordinates are(a,1/b) and (b,1/a)
Slope is expressed as;
m = y2-y1/x2-x1
Substitute the coordinate values
m = (1/a - 1/b)/b -a
m = (b-a)/ab ÷ b-a
m = (b-a)/ab × 1/b-a
m = b-1/b-a × 1/ab
m = 1 × 1/ab
m = 1/ab
Hence the slope is 1/ab
Answer:
− x + 16y
Step-by-step explanation:
2x + 5y − 3x + 11y
= 2x + 5y + − 3x + 11y
Combine Like Terms:
= 2x + 5y + − 3x + 11y
= (2x + − 3x) + (5y + 11y)
= − x + 16y
Answer:
238
Step-by-step explanation:
Important note: ∠FAH is an inscribed angle and arc mFGH is it's intercepted arc
opposite angles in a quadrilateral formed inside of a circle area supplementary
Supplementary meaning that they add up to equal 180
So 13x + 15 + 8x - 3 = 180
We now solve for x
step 1 combine like terms
13x + 8x = 21x
15 - 3 = 12
12 + 21x = 180
step 2 subtract 12 from each side
12 - 12 cancels out
180 - 12 = 168
21x = 168
step 3 divide each side by 21
21x / 21 = x
168 / 21 = 8
we're left with x = 8
Now we substitute 8 for x in 13x + 15
13 ( 8 ) + 15
13 * 8 = 104
104 + 15 = 119
So ∠FAH = 119
Recall that an included angle is equal to half the measure of its intercepted arc.
so arc mFGH = 2 (119)
2 * 119 = 238
Therefore your answer is A
The equation for this is:
F = P(1+i)ⁿ
where
F is the present accounts balance
P is the initial deposit
i is the interest rate
n is the number of months
The interest rate is nominal which is 2.9% per year compounded monthly. Since there are 12 months in a year, that is equal to an effective interest rate of 0.24167% per month compounded monthly (i = 0.0024167). In 9 years, there are a total of 108 months, so n=108.
<span>$2033.88 = P(1+0.0024167)</span>¹⁰⁸
P = $1567.147