Answer:
(8, - 7)
Step-by-step explanation:
Since, (8, 7) is reflecting over x-axis, so after reflection, x- coordinate will remain same and y-coordinate changes from 7 to -7.
Therefore,
Answer:
(−1, –1.25), (5, –2.75)
Step-by-step explanation:
If "slope-intercept form" is mentioned, then we already know that the function rule is that of a straight line with slope m and y-intercept b.
As we go from (−1, –1.25) to (5, –2.75), x increases by 6 and y decreases by 1.50. Thus, the slope, m, is m = rise / run = -1.50 / 6, or m = -0.25 or -1/4.
Choosing one of the given points at random: (8, -3.5), we start with the slope-intercept form y = mx + b and substitute -1/4 for m, 8 for x and -3.5 for y: y = mx + b becomes -3.5 = (-1/4)(8) + b. Then -3.5 + 2 = b, or b = -1.5.
The desired equation is y = (-1/4)x - 3/2, or y = -0.25x - 1.5
Hello,
Let's a the number that is substracted, b the other
a+b=10
a-b=-2
==>2a=8==>a=4 and b=10-4=6
Proof: 4-6=-1 and 4+9=10
The 2 numbers are 4 and 6.
Using the hypergeometric distribution, it is found that there is a 0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
The people are chosen without replacement from the sample, hence the <em>hypergeometric distribution </em>is used to solve this question.
<h3>What is the
hypergeometric distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- There is a total of 18 people, hence .
- 2 people will be chosen, hence .
- David and Valerie corresponds to 2 people, hence .
The probability that both get picked is P(X = 2), hence:
0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
You can learn more about the hypergeometric distribution at brainly.com/question/25783392
Answer:
Step-by-step explanation:
Given the equation
4x+12y=72
The equation of a line can written as
y=mx+c
Where m is the slope
And c is the intercept on y axis
Then, we need to write the equation given in the form of equation of a line (y=mx+c), by making y subject of the formula
4x+12y=72
12y=-4x+72
Divide through by 12
y=-4x/12 + 72/12
y=-⅓x+6
Then, comparing with equation of a line shows that
m=-⅓ and c=6
So we need to get another linen that is perpendicular to this line and passes through the point (-9,6)
The slope of the line perpendicular to another line is given as
m1=-1/m2
Then, m1=-1÷-⅓
Then, the slope of the perpendicular line is 3
Then, m=3
So apply this to equation of the line
y=mx+c
Then, y=3x+c
So to know c, we will insert the point given(-9,6), x=-9 and y=6
y=3x+c
6=3(-9)+c
6=-27+c
Then, c=6+27
c=33
Then, the equation of line becomes
y=3x+33