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Ksivusya [100]
2 years ago
12

Find the slope of the line that passes through these points. (2, 2) and (8, 8)

Mathematics
2 answers:
zysi [14]2 years ago
8 0
The slope of the line is \frac{1}{1}
SOVA2 [1]2 years ago
3 0
The answer would be 1
Slope formula is y2-y1/x2-x1
8-2/8-2
6/6
1
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Solve for<br> a. 7a-2b = 5a b
Nookie1986 [14]

For this case we have the following expression:

7a-2b = 5ab

From here, we must clear the value of a.

We then have the following steps:

Place the terms that depend on a on the same side of the equation:

7a - 5ab = 2b

Do common factor "a":

a (7 - 5b) = 2b

Clear the value of "a" by dividing the factor within the parenthesis:

a =\frac{2b}{7-5b}

Answer:

The clear expression for "a" is given by:

a =\frac{2b}{7-5b}

8 0
1 year ago
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The merry-go-round at the fair rotates 12 times each minute, and children are 15 feet from the center of the wheel when they are
castortr0y [4]

Answer:

i think c 21600pi

Step-by-step explanation:

5 0
2 years ago
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Sarah and thomas are going bowling. the probability that sarah scores more than 175 is 0.4, and the probability that thomas scor
pychu [463]

When the occurrence of one event say A does not affect the occurrence of another event say B, than the two events are said to be independent such that;

\\  &#10;P(A\cap B)=P(A)\times P(B)

where, P(A) = probability of occurrence of event A

and P(B) = probability of occurrence of event B

(a).

Now, let event A = Sarah scores more than 175

and event B = Thomas scores more than 175

Thus, P(A)= Probability that Sarah scores more than 175 = 0.4

and P(B)= Probability that Thomas scores more than 175 = 0.2

Since, the scores are independent, thus the probability that both Sarah and Thomas scores more than 175 is,

\\  &#10;P(A\cap B)=P(A)\times P(B)\\  &#10;P(A\cap B)= 0.4\times 0.2= 0.08\\

Hence, the required probability is 0.08

(b).

When the occurrence of one event say A affects the occurrence of another event say B, than the two events are said to be dependent such that;

\\  &#10;P(A\cap B)=P(A)\times P(B\setminus A)\\

Now, let event A = Sarah scores more than 175

and event B = Thomas scores more than 175

Thus, P(A)= Probability that Sarah scores more than 175 = 0.4

         P(B)= Probability that Thomas scores more than 175 = 0.2

and P(B|A) = Sarah scores more than Thomas given that Thomas scores more than 175 = 0.3

Thus, the required probability is calculated as follows;

\\  &#10;P(A\cap B)=P(A)\times P(B\setminus A)\\  &#10;P(A\cap B)=0.2\times 0.3=0.06



             



             


7 0
1 year ago
Use the table to answer the question. House A $124,270 Annual appreciation 4% House B $114,270 Annual appreciation 5% In which o
Varvara68 [4.7K]
For the house A we have:
 f (x) = 124270 (1.04) ^ x
 Evaluating for 7, 8, 9 and 10 we have:
 f (7) = 124270 (1.04) ^ 7 = 163530.8422
 f (8) = 124270 (1.04) ^ 8 = 170072.0759
 f (9) = 124270 (1.04) ^ 9 = 176874.9589
 f (10) = 124270 (1.04) ^ 10 = 183949.9573

 For house B we have:
 
f (x) = 114270 (1.05) ^ x
 Evaluating for 7, 8, 9 and 10 we have:
 f (7) = 114270 (1.05) ^ 7 = 160789.3653
 f (8) = 114270 (1.05) ^ 8 = 168828.8336
 f (9) = 114270 (1.05) ^ 9 = 177270.2752
 f (10) = 114270 (1.05) ^ 10 = 186133.789

 We observe that for years 7 and 8 the value of house A is greater than the value of house B.

 Answer:
 
7 and 8
4 0
2 years ago
A Ferris wheel car moves from point C to point D on the circle shown below: Circle A is shown with points C and D on the circle
natali 33 [55]

Answer:

10.99 feet

Step-by-step explanation:

The arc length when an angle of 360° is made is the perimeter of the circle.

Perimeter = π*Diameter = π*30 = 94.25 ft

To know the arc length when an angle of 42° is made, we need to use the following proportion

94.25 ft / x ft = 360° / 42°

x = 42/360*94.25

x = 10.99 ft

7 0
2 years ago
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