It works the same way if it begins negative, the negative in front of the 'x' terms just means that the hyperbola opens vertically.
'b' refers to distance from center to vertices in the 'y' direction because 'b' is with y term.
The vertices are at (0, +-4), b = 4
To find 'a' use the slope of the asymptotes.
slope = b/a = 4/a
Estimate slope by using a point that is farthest away from orgin, (10,20.5)
The asymptote will be slightly below the point (10,20)
This gives a slope of 20/10 = 2.
4/a = 2 ----> a = 4/2 = 2
Answer: a = 2, b = 4
Answer:
Multiply the number outside the parentheses by each term inside the parentheses
=2(6.1x+25.3y+2.1x-3.9y)
=(2*6.1x)+(2*25.3y)+(2*2.1x)+(2*-3.9y)
=12.2x + 50.6y + 4.2x - 7.8y
combine like terms
= 16.4x + 42.8y
=4(4.1x+ 10.7)
=(4*4.1x) + (4*10.7y)
=16.4x + 42.8y
Yes, the two expressions are equivalent.
Step-by-step explanation:
Answer:
B. 8.37 ft
Step-by-step explanation:
⇒This question is on circumference
⇒The water sprinkler covers a circular pattern as it moves to cover 300° and remain with 60° to cover so as to complete a single circular pattern.
⇒The remaining distance asked is the one represented by 60°
⇒Apply the formula for circumference of a circle with angle theta
where alpha is the angle in degrees
Given that r=8ft and ∝=60°
c=3.14×2×8×60°/360°
c=8.37 ft
The distance walked by Anne is 14 miles.
Given that,
A hiking trail is 24 miles from start to finish.
Anne claims that the distance she has walked and the distance she has left to walk as a ratio of 5:7.
how many miles has Anne walked is to be determined.
<h3>What is the Ratio?</h3>
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The hiking trail is 24 miles.
Ratio distance travel and distance left = 5 : 7
Now,
the sum of ratios = 12
Distance traveled = 5 / 12 * 24 = 10 miles.
Distance left = 7 / 12 * 24 = 14 miles
Thus, the distance walked by Anne is 14 miles.
Learn more about ratio here:
brainly.com/question/13419413
#SPJ2
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation: