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Ivenika [448]
4 years ago
12

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

Mathematics
1 answer:
Romashka [77]4 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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Gabriella bought 9 shirts for a total of $90. Tee shirts cost $8 and long sleeve shirts cost $14.
sasho [114]

Answer:

Gabriella bought 6 t-shirts and 3 long sleeve shirts.

Step-by-step explanation:

$8 x 6 = $48

$14 x 3 = $42

48 + 42 = $90

7 0
3 years ago
In a class of P students, the average of test scores is 70. In another class the average test scores is 92. When scores of the t
Basile [38]

So, since averages are defined as:

\frac{\sum_{k=1}^{P} P_k}{P}=70

So, since P are the total number of elements and P_k is the P_kth student. This is saying if we sum over each student's score and divide it by the number of students, we should get P, which is true.

So, using that logic, the other class can be represented as:

\frac{\sum_{k=1}^{N} N_k}{N}=70

We can take both of these equations and multiply them by N:

\sum_{k=1}^{P} P_k=70P

\sum_{k=1}^N N_k=92N

So, if we want to find the average of this we should add both our equations then divide by P+N, which is the number of all the students.

\frac{\sum_{k=1}^{P} P_k+\sum_{k=1}^{N}N_k}{N+P}=\frac{70P+92N}{N+P}

To make this simpler we can replace our LHS with 86, since that's the average of both classes combined.

86=\frac{92N+70P}{N+P} \implies\\ 86N+86P=92N+70P \implies \\ 16P=6N \implies \\ \frac{16P}{N}=6 \implies \\ \frac{P}{N}=\frac{6}{16}

Simplified we would have P/N=3/8.

7 0
4 years ago
Help please with easy geometry
netineya [11]

Answer:

Vertical line of symmetry

8 0
3 years ago
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2 dogs he can walk for 7 dollars
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3 years ago
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Kyle felt a draft of cold air. He measured a gap in a nearby window and found that it was 7/16 inches wide. Which decimal is equ
Alexus [3.1K]

0.4375.

You can simply divide 7 by 16 using long division or a calculator to get this answer.

3 0
4 years ago
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