Answer:
-5
Step-by-step explanation:
Rate of Change also slope
Slope = y-y1/x-x1 = tanα = y/x
15-5/2-4 = 10/-2 =-5
Answer:

Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have two standard form equations which we will get a slope and a y-intercept from. We will convert each to slope intercept form to get the information. We will then write a new slope-intercept equation and convert to standard form.
3x-5y=7 has the same slope as the line. Let's convert.


The slope is
.
2y-9x=8 has the same y-intercept as the line. Let's convert.


The y-intercept is 4.
We take
and b=4 and substitute into y=mx+b.

We now convert to standard form.

For standard form we need the coefficients of x and y to be not zero or fractions. We need integers but the coefficient of x cannot be negative. So we multiply the entire equation by -5 to clear the denominators.

Answer:
Check the explanation
Step-by-step explanation:
Let
be the indicator random variable that takes the value 1 if the ith coin is the first coin in a sequence of 19 consecutive heads.
For any sequence of length 19, the starting coin can be from toss i ,
such that i is between 1 and n - 19+1
Thus the number of such sequences is
Kindly check the attached image below for the step by step explanation to the question above.
Answer:
270
Step-by-step explanation:
-6 multiply 5 gives you -30
-3 multiply -3 gives you -9
-30 multiply 9 gives you
-270
Answer: 12
Step-by-step explanation:
since it’s isosceles, the bottom two angles are equal so just subtract 156 from 180 and then divide that by 2.