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Ivenika [448]
3 years ago
12

Find the distance between (1, 4) and (3, 9). Round the answer to the nearest hundredth.

Mathematics
1 answer:
Romashka [77]3 years ago
6 0
To calculate the distance between these two points, we use the Pythagorean theorem since the two points can form a right triangle when plotted where the hypotenuse would be the distance between these two. We do as follows:

d = √[(x2-x1)^2 + (y2-y1)^2]
d = √[(3-1)^2 + (9-4)^2]
d = √29 = 5.39 units 

The correct answer is A.
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Cal is measuring temperature changes in four substances over different time periods as part of a school project. Which data show
djyliett [7]

Answer:

C) The third table. K= 5

C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5

Step-by-step explanation:

1) Below there are the missing data:

A proportional relationship through a constant k. It is obtained when we divide:

k=\frac{y}{x}

2)In this case, when we divide the temperature (T) by the time (h).

k=\frac{T}{h}

3)So, examining the table below we are searching for a ratio k common to all measures (temperatures over hour).

A) \frac{12}{3}\neq\frac{25}{5}\neq\frac{36}{6}\neq\frac{81}{9}\\B) \frac{22.5}{3}\neq\frac{30}{4}\neq\frac{52.5}{7}\neq\frac{67.5}{8}\\C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5\\D)\frac{8.5}{2}\neq\frac{22.5}{5}\neq\frac{28.5}{7}\neq\frac{36}{8}

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3 years ago
classify each scale factor as a contraction or an expansion Dragon drop the choices into the box to complete the table
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Anything that is multiplied by a number over 1 will get bigger. any other number such as negatives or fractions/decimals will get smaller. 1.25 and 3 are expansions and -2,3/4, and 1/5 are contractions
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Here's the solution,

volume of cylinder :

=》

\pi  r {}^{2} h

where,

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now, let's solve

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=》

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Cost of airplane toy = $4.84
let x be the cost of the toy car
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