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4 years ago

Please order -4 1/2,5.6,-2 3/8, and 1.35

Mathematics

2 answers:

algol [13]4 years ago

5 0

Ordering it from least to greatest, you get

-4 ¹/₂ -2 ³/₈, 1.35, 5.6

Your answer is -4 ¹/₂ -2 ³/₈, 1.35, 5.6

ExtremeBDS [4]4 years ago

3 0

-4 1/2 = -4.5

5.6 = 5.6

-2 3/8 = -2.375

1.35 = 1.35

If we order it from least to greatest, we would get:
-4 1/2, -2 3/8, 1.35, 5.6

If we order it from greatest to least, we would get:
5,6, 1.35, -2 3/8, -4 1/2

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CD is perpendicular to AB and passes through point C5, 12).

Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD $mCD = -\frac{1}{mAB}$

Hence we start from determining slope of AB

slope is given as

$m= \frac{y_2-y_1}{x_2-x_1}$

$m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1$

Hence $mAB=1$

There fore $mCD=-1$

(∵ Product of Slopes of two perpendicular lines is always -1)

Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)

$m=\frac{y-y_1}{x-x_1}$

$-1=\frac{y-12}{x-5}$

$-x+5=y-12$

$y=-x+17$

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

$0=-x+17$

$x=17$

Hence the x intercept is 17

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