Answer:
Assuming you want the answer in slope-intercept form, it’s <u>y = -5x + 11</u>
Step-by-step explanation:
So we have to first use point-slope form, y - y1 = m (x - x1)
If we plug the numbers in we get...
y + 4 = -5 (x - 3) (take out parenthesis)
y + 4 = -5x + 15 (now subtract 4 from 15)
<u>y = -5x + 11</u>
I think this is right
Answer:
30
Step-by-step explanation:
For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...
a·b = (xa)(xb) + (ya)(yb)
Substituting the given information, you have ...
a·b = 5·4 + 2·5 = 20 + 10
a·b = 30
_____
Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.
ANSWER
D. a vertical translation of f(x) four units downward
EXPLANATION
The given function are:
f(x)=|x|
and
g(x)=|x|-4.
We can rewrite g(x) in terms of f(x) to obtain:
g(x)=f(x)-4.
This means that, if the graph of f(x) is translated 4 units down, we obtain the graph of g(x).
Hence g(x) is a vertical translation of f(x) four units downward.
The correct choice is D.
Answer:
The last one: 70/100 = x/80
And 56 free throws.
Explanation:
70% is 70 out of 100. And if the player is free throwing a total of 80 times, then 80 is 100% of the free throws. Both of the values that represent 100% are the denominators in the fractions.
The equations are equal, and whatever you do to the bottom, you have to do to the top. 100 was multiplied by 4/5 to get 80. So 70 is multiplied by 4/5 to get x.
4/5 * 70 is 56
