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Ray Of Light [21]
3 years ago
6

Kerry drew a number line starting at 0, point a, and ending at 1, point c. Halfway between points a and c, kerry added point b.

Which statement is true about the number line? A) the distance between points a and c is halfway between points a and b. B) the distance between points a and b is equal to the distance between points b and c. C)without using a ruler to measure, no true statements can be made about the number line. D)the distance between points a and b is not equal to the distance between points b and c.
Mathematics
1 answer:
Sholpan [36]3 years ago
7 0

Answer: B) is the right answer→the distance between points a and b is equal to the distance between points b and c.


Step-by-step explanation:

As Kerry drew a number line starting at 0, point a, and ending at 1, point c and halfway between points a and c, he added point b.

.⇒ab=1/2 of ac and bc= 1/2 of ac or b is the mid point of line segment ac.

⇒ ab=bc(∵things which are equal to the same thing are equal to one another....→Euclid's first postulate)

Therefore, option B) the distance between points a and b is equal to the distance between points b and c is correct.

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vladimir1956 [14]

Step-by-step explanation:

i think the first equation is for the first graph because the inside of the absolute can't be negative and the second is for the second graph. i hope i helped

7 0
3 years ago
Choose the correct comparison for the numbers below.
Alexandra [31]

Answer:

A

Step-by-step explanation:

In order to compare all three numbers, you must change them all to have the same form, either all decimal form, all fraction, or all percentages.

The easiest ways to compare are decimal and percentage, as they're practically the same thing. For simplicities sake, though, let's turn all the numbers into decimal.

Since 0.85 is already in decimal form, leave it as it is.

3/4 can be turned into a decimal by putting it into a calculator, but intuitively you should know that it's 0.75. If you don't know a fraction intuitively, you just need to make the fraction into a multiple of denominator 100 and take the numerator. For example:

\frac{3}{4} * \frac{25}{25} = \frac{75}{100}

Numerator is 75.0, now simply move the decimal place up to to get the decimal form 0.75.

91% can be changed into a decimal by moving the decimal place left 2 places. 91.0% turns into 0.91.

Now that you can see the numbers, just rearrange them from least to greatest

0.75<0.85<0.91

equal to A

5 0
3 years ago
What is the slope of the line shown below?<br><br> (4,8)<br> (2, 4)
OLEGan [10]

Answer: The slope of the line is 2.

Step-by-step explanation:

Slope = change in y/change in x

Slope = (8-4)/(4-2)

Slope = (4)/(2)

Slope = 2

4 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%E2%88%923x2%E2%88%9211x%2B7" id="TexFormula1" title="f(x) = &minus;3x2&minus
bixtya [17]

Answer:

x=   \frac{ - 11 +  \sqrt{205} }{6}  \:  \:  \:  \:  \: or \:  \:  \:  \:  \\x  =  \frac{ - 11 -  \sqrt{205} }{6}

Step-by-step explanation:

- 3x {}^{2}  - 11x + 7 = 0 \\ 3x {}^{2}  + 11x - 7 = 0

here,

a = 3 \\ b = 11 \\ c =  - 7

now,

D = b {}^{2}  - 4ac \\  = (11) {}^{2}  - 4(3)( - 7) \\  = 121 + 84 \\  = 205  > 0 \\

so,

x =  \frac{ - b +  -  \sqrt{b {}^{2}  - 4ac} }{2a}  \\  \\  =   \frac{ - 11 +  -  \sqrt{205} }{2(3)}  \\  =   \frac{ - 11 +  -   \sqrt{205}  }{6}  \\  \\  =   \frac{ - 11 +  \sqrt{205} }{6}  \:  \:  \:  \:  \: or \:  \:  \:  \:  =  \frac{ - 11 -  \sqrt{205} }{6}

4 0
3 years ago
What is the greatest possible error for 0.224m
Citrus2011 [14]

Answer:

0.0005 I believe

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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