equation form: y = mx + b
where m is the slope, and b is the y-intercept.
slope = (y2 - y1) / (x2 - x1) = (13 -8) / (11 - 5) = 5/6
y = 5/8 x + b (replace x and y by 5 and 8)
=> 8 = 5/6 * 5 + b
=> 8 = 25/6 + b
=> b = 8 - 25/6 = 23/6
==> equation: y = 5/6 * x + 23/6
A triangle can not be drawn with these side lengths. This is because when you add 2cm+8cm, it is not more than 11 cm.
Answer:
A
Step-by-step explanation:
g(x) got smaller
A - makes it thinner
B & C - move it to the left or right
D- makes it wider
Answer:
C. {-1, 5, 8}
Step-by-step explanation:
Use each of the domain values in the function to see what the corresponding range value is.
f(-1) = 5 -3(-1) = 8
f(0) = 5 -3(0) = 5
f(2) = 5 -3(2) = -1
The range is the set of numbers {-1, 5, 8}.
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<em>Additional comment</em>
The values in a set are generally listed lowest to highest. The coefficient of x in the equation for f(x) is negative, meaning the lowest range value will correspond to the highest domain value. If you start by finding f(2) = -1, you immediately eliminate all answer choices except B and C.
Those choices differ only in the middle value, so you can tell which is correct by evaluating f(x) for the middle domain value: f(0) = 5. Only one answer choice has both -1 and 5 in the set.
(There are two answers here: how you work the problem, and how you game a multiple choice question.)
