Answer:
1st: 0.04, 0.04, 0.25, 0.4
2nd: 0.06, 0.16, 0.6, 60
3rd: 0.07, 0.7, 0.075, 0.75, 7.5
4th: 0.02, 0.18, 0.2, 200
5th: 0.009, 0.09, 0.9, 0.95
6th, 0.1, 0.12, 1, 10
Step-by-step explanation:
9514 1404 393
Answer:
y -2 = -2/3(x +4)
Step-by-step explanation:
There are several different forms of the equation for a line. Each is useful in its own way. Here, the line crosses the y-axis at a point between integer values, so using that intercept point could be problematical. That suggests the "point-slope" form of the equation for a line would be a better choice.
That form is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
__
The two marked points are (-4, 2) and (5, -4). All we need is the slope.
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1) . . . . . . . . where the given points are (x1, y1) and (x2, y2)
m = (-4 -2)/(5 -(-4)) = -6/9 = -2/3
Using the first point, the equation for the line can now be written as ...
y -2 = -2/3(x -(-4))
y -2 = -2/3(x +4)
Answer:
17 1/2
Step-by-step explanation:
17 2/4 is the given and 2/4 is equivalent to one half so the answer is 17 1/2.
Hopefully you understand it now.
<h3>
Answer: Choice D) 7.5 cm</h3>
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Explanation:
We are told that quadrilateral ABCD is similar to quadrilateral EFGH.
The order of the four letter sequence is important.
- For ABCD, we have AB as the first pair of letters.
- For EFGH, we have EF as the first pair of letters.
Therefore, AB and EF are corresponding sides.
So AB = 10 and EF = x pair up together. We can form the ratio AB/EF which becomes 10/x.
The diagram shows that AD = 8. Notice that A and D are the first and last letters of ABCD. The first and last letters of EFGH are E and H. We can see that AD and EH correspond to one another because of this.
AD = 8 and EH = 6 forming the ratio AD/EH = 8/6
Because the quadrilaterals are similar, the corresponding ratios must be the same. Therefore, AB/EF is the same as AD/EH.
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Let's set up a proportion to solve for x
AB/EF = AD/EH
10/x = 8/6
10*6 = x*8
60 = 8x
8x = 60
x = 60/8
x = 7.5 Answer is choice D
