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andre [41]
1 year ago
5

4 1/6 as a decimal : D

Mathematics
1 answer:
bixtya [17]1 year ago
8 0
Answer: 4.1666666666667
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Please help me!!
Cloud [144]
1. 2*3*3 = 18 different combinations.

2. P(3 or even) = P(3) + P(even)
1/6 + 3/6 = 4/6 = 2/3

3. Rolling an odd or even number on a number cube.
8 0
3 years ago
Find the distance from point A(−9,−3) to the line y = x−6. Round your answer to the nearest tenth.
Vladimir79 [104]

The distance from point A(−9,−3) to the line y = x−6 is 8.5 units

<u>What is slope ?</u>

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

step 1

Find the slope of the perpendicular line to the given line

y=x-6 ---> given line

The slope is m=1

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m1*m2 = -1

we have

m1=1

substitute

(1)*m2 = -1

so

m2 = -1

step 2

Find the equation of the perpendicular line to the given line

The equation in point slope form is

y-y1=m(x-x1)

we have

m=-1

(x1,y1)=(−9,−3)

substitute

y+3=-1(x+9)--> equation in point slope form

y+3= -x-9

y= -x-12---> equation in slope intercept form

step 3

Find the intersection point between the given line and the perpendicular line to the given line

we have the system of equations

y = x−6.

y= -x-12

Solve the system by graphing

The intersection point is (-3,-9)

see the attached figure

step 4

we know that

The distance between the point A and the point (-3,-9) is the same that the distance between point A and the line y=x-6

the formula to calculate the distance between two points is equal to

d=√[(y2-y1)² + (x2-x1)²]

substitute the values

d=√[(-9+3)² + (-3+9)²]

d= √72 units

simplify

d= 6√2 = 8.5 units

To learn more about the slope from the given link

brainly.com/question/16949303

#SPJ1

8 0
8 months ago
Help me out, please....
alex41 [277]

Answer:

5 radical 3

Step-by-step explanation:

b = √c2 - a2

= √102 - 52

= √75

= 8.66025 = 5√3

8 0
2 years ago
Read 2 more answers
Is 12 a prime or composite? (Can someone clearly explain what a prime and composite are?)
inn [45]
12 is a composite number.

Composite Number-A whole number that can be divided evenly by numbers<span> other than 1 or itself.

Prime Number- </span> A Prime Number<span> can be divided evenly only by 1, or itself. </span>
5 0
2 years ago
Read 2 more answers
Please help me with this
ziro4ka [17]

Answer:

Q1: 3

Q2: reflected (a)

Q3: a

Q4: false

Q5: 90°(b)

Step-by-step

srry if it's wrong cuz I dont remember some of these but I tried

7 0
3 years ago
Read 2 more answers
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