There's an equation to find the length between 2 points on a plane.
√[(2-4)2 + (2-7)2] = √29
√[(4-6)2 + (7-2)2] = √29
√[(2-6)2 + (2-2)2] = 4
Therefore, Triangle ABC is an iscoceles triangle!
The answer is D your are welcome :)
The absolute value functions that contains the points are:
- f(x) = |x| + 2
- f(x) = |-x| + 2
<h3>Which could be the function represented by this graph?</h3>
Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.
To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.
For example, for the first equation:
- f(-3) = |-3| + 2 = 5 so it has the point (-3, 5)
- f(0) = |0| + 2 = 2 so it has the point (0, 2)
- f(3) = |3| + 2 = 5 so it has the point (3, 5).
The other option that also contains these 3 points is:
f(x) = |-x| + 2
- f(-3) = |3| + 2 = 5 so it has the point (-3, 5)
- f(0) = |-0| + 2 = 2 so it has the point (0, 2)
- f(3) = |-3| + 2 = 5 so it has the point (3, 5).
And all the other options can be trivially discarded (by evaluating them).
So the two correct options are:
- f(x) = |x| + 2
- f(x) = |-x| + 2
If you want to learn more about absolute value functions:
brainly.com/question/3381225
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Answer:
minutes.
Step-by-step explanation:
Let t represent time taken by cold water faucet in minutes to fill the tub.
Part of tub filled by cold water faucet in one minute would be 
.
We have been given that it takes the hot water faucet 15 minutes to fill the tub by itself, so art of tub filled by hot water faucet in one minute would be 
.
We are also told that left on together, the cold and hot water faucets of a certain bathtub take 5 minutes to fill the tub, so part of tub filled by both faucets in one minute would be 
.
We can represent part of tank filled by both faucets in one minute as:
Therefore, it will take 7.5 minutes for the cold water faucet to fill the tub alone.
The slope is the change in y over the change in x, so it's (4-2)/(6-7)=2/-1=-2. Point slope form is y<span> – </span>y1<span> = </span>m(x<span> – </span>x1<span>), so we can plug in a point (6,4) to get
y-6=-2(x-4)</span>
