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cricket20 [7]
3 years ago
6

Find two consecutive whole numbers that square root 116 lies between

Mathematics
1 answer:
koban [17]3 years ago
7 0

10 and 11

√116 = 10.77 → ( to 2 decimal places )

hence 10 < √116 < 11


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Find three rational numbers between 1 and 0.​
Alex73 [517]

Answer:

1/2, 1/4 & 3/4

Step-by-step explanation:

mean of 0 &1 is\frac{0+1}{2} =\frac{1}{2} \\

mean of 0 and 1/2 is (0+\frac{1}{2} )/2=\frac{1}{2} /2=\frac{1}{2} *\frac{1}{2} =\frac{1}{4}

mean of 1/2 and 1 is (\frac{1}{2} +1)/2=\frac{3}{2} /2=\frac{3}{2} *\frac{1}{2} =\frac{3}{4}

So the three rational numbers are 1/2, 1/4 & 3/4

4 0
3 years ago
What number is greater?
lesantik [10]
10 is greater because it equals 3.162...
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4 years ago
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Read 2 more answers
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

8 0
3 years ago
8. What are the advantages of switching a quadratic function from standard form into vertex form?
Airida [17]

Answer:

vertex form automatically gives you your vertex and your y intercept so all you need to do is graph. Hope this helps

Step-by-step explanation:

3 0
4 years ago
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