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Anni [7]
3 years ago
11

in a coordinate plane what is the length of the line segment that connects points (3, 3) and (8, 7)? round to the nearest hundre

dth
Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0

Answer:

6.40

Step-by-step explanation:

  • a^2 + b^2 = c^2
  • X-values: 8 - 3 = 5 (length of a)
  • Y-values: 7 - 3 = 4 (length of b)
  • 5^2 + 4^2 = c^2
  • 25 + 16 = c^2
  • 41 = c^2
  • square root (41) = c
  • c = 6.40
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Step-by-step explanation:

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3 years ago
Assuming a linear relationship between x and y, if the coefficient of correlation (r) equals -0.75, this means that:
Gelneren [198K]

Since we are given that the relationship between x and y is linear. Therefore this means that the given equation takes the form of:

y = m x + b

where,

b is the y intercept of the equation

m is the slope of the equation

 

However we should take note that the slope m is directly proportional to the coefficient of correlation. Since our coefficient of correlation is negative, this only means that the value of y is decreasing with increasing x, hence plot of y and x is descending with increasing x. Furthermore, this also tells that for every 1 unit increase of x, there is a 0.75 units decrease of y.

6 0
3 years ago
A local bake shop sells cookies and cakes.On monday , sean bought 3 cookies and 5 cakes and spent $78.75 on tuesday , sean bough
Bond [772]

Answer:

The price of one cookie is $1.25 and the price of one cake is $15.

Step-by-step explanation:

Let $x be the price of one cookie and $y be the price of one cake.

1. On Monday, Sean bought 3 cookies and 5 cakes, then he spent $(3x+5y) and this is $78.75. Thus,

3x+5y=78.75.

2. On Tuesday, Sean bought 8 cookies and 2 cakes, then he spent $(8x+2y) and this is $40. Thus,

8x+2y=40.

3. Solve the system of two equations:

\left\{\begin{array}{l}3x+5y=78.75\\8x+2y=40\end{array}\right.

Multiply the first equation by 2 and the second equation by 5 and subtract them:

2(3x+5y)-5(8x+2y)=2\cdot 78.75-5\cdot 40,\\ \\6x+10y-40x-10y=157.5-200,\\ \\-34x=-42.5,\\ \\x=\$1.25.

Then

8\cdot 1.25+2y=40,\\ \\2y=40-10,\\ \\y=\$15.

8 0
3 years ago
Find the equation of a line with the given points. 7, 3 , 5, -1
MissTica

Answer:

i think if its on a graph

Step-by-step explanation:

5 0
3 years ago
Exam
mixer [17]

Answer:

4212 square feet.

Step-by-step explanation:

If the blueprint's scale is 1 inch : 9 feet.

Square both sides

(1in)² = (9ft)²

1in² = 81ft²

Given the  gym's  area as 52 square inches, hence;

52in² = x

Divide both expressions

1/52 = 81/x

x = 52 * 81

x = 4212ft²

Hence the area of the actual gym  is 4212 square feet.

4 0
3 years ago
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