Answer:
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
From the question we have
We have the final answer as
Hope this helps you
Answer: < -4/5, 3/5>
This is equivalent to writing < -0.8, 0.6 >
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Explanation:
Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.
We have a right triangle with legs of 4 and 3. The hypotenuse is through use of the pythagorean theorem.
We have a 3-4-5 right triangle.
Therefore, the vector is 5 units long. This is the magnitude of the vector.
Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.
Therefore, we go from < -4, 3 > to < -4/5, 3/5 >
This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6
Side note: Unit vectors are useful in computer graphics.
Answer:
As a column vector 3a +b = (9,10)
Step-by-step explanation:
A =
(2
4)
b =
(3
-2)
3a = 3*2 = 6
3*4= 12
3a + b = 6. + 3
12. +(-2)
3a +b = 9
10
As a column vector 3a +b = (9,10)
The answer is B
If the sweater is on sale for 20%, then the sale price will be 80% of the regular price.
Therefore, $60 = 80% of regular price
$60/80 = $0.75 which gives you 1% of the regular price
So $0.75 is 1% of regular price.
$0.75 * 100 = $75 which gives you the regular price as 1% multiplied 100 times = full price
Soooo, full price is b.) $75
Answer:
this week... 1/2
Step-by-step explanation:
so 2.25> 1.75
and if you subtract (you can use a calculator) 1.75 from 2.25, that's .5 which is 1/2