Find the equation (in slope-intercept form) of the line passing through the points with the given coordinates. (3, −4) (4,-5)

d) by Calculating the amount of miles it would take John to go to school plus the amount of miles it would take Sara to go to school. Then add the sum of the amount of miles it took for both to go to school.

Step-by-step explanation:

a) explanation:

$a^{2} +b^2=c^2$

$16^2+30^2=c^2$

$256 + 900 = c^2$

$c^2=1156$

$\sqrt{1156}=34mi$

b) explanation:

$a^{2} +b^2=c^2$

$6^2+8^2=c^2$

$36+64=c^2$

$c^2=100$

$\sqrt{100} =10mi$

c) explanation: we already have all the data from John's house to Sara's House.

John's House to Sara's House = John's House to School + Sara's House to School.

Sara's House to School (Question #1) = 34mi

John's House to School (Question #2) = 10mi

34(mi) + 10(mi) = 44(mi)

d) explanation: explanation is on the answer

7 0

3 years ago

What Numbers Go Into The Venn Diagram

antiseptic1488 [7]

Answer:

(a)The total number of outcomes where the sum is 9 or

greater than 9 is 10

(b)Total number of outcomes where the sum is odd = 18

(c)Total number of outcomes where the sum greater or equal to 9 and is

also odd = 6

Step-by-step explanation:

Here, Sample Space = { Sum of the two digits when two dices are thrown together}

or, S = {2,3,4,5,6,7,8,9,10,11,12}

(a) The number of ordered pairs where sum is 9 or greater than 9

= { sum is 9 , Sum is 10 , Sum is 11, Sum is 12}

= {(6,3)(3,6),(4,5)(5,4) , (5,5), (6,4),(4,6) , (6,5)(5,6), (6,6)}

Hence the total number of outcomes where the sum is 9 or

greater than 9 is 10

(b) The number of ordered pairs where sum is odd.

= { Sum is 3 , Sum is 5, Sum is 7, Sum is 9, Sum is 11}

= {(1,2)(2,1), (4,1)(1,4),(2,3)(3,2) , (6,1), (1,6),(5,2),(2,5),(4,3)(3,4) ,

(6,3)(3,6), (4,5)(5,4), (6,5),(5,6)} = 18

Hence total number of outcomes where the sum is odd = 18

(c) Intersection point refers the outcomes which have sum greater or equal to 9 and is odd

Here, the possible outcomes are = { Sum is 9 , Sum is 11}

={ (6,3)(3,6), (4,5)(5,4), (6,5),(5,6)} = 6

Hence total number of outcomes where the sum greater or equal to 9 and is also odd = 6

6 0

3 years ago

The quotient of two numbers is -12. One of the numbers is −3. What is the other number?

umka21 [38]

The answer is -4 because -4 times -3 equals -12

6 0

3 years ago

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