Answer: The y-intercept is 1
Step-by-step explanation:
y = mx + b m = slope, and b = y-intercept
plugging in the given values, we get
-9 = (-5/4)(8) + b
simplify to get
-9 = -10 + b
b = 1
y-intercept = 1
The slope is -4/7
Step-by-step explanation: The equation for slope is (y₂-y₁)/(x₂-x₁)
so in this case it would be (₋3-1)/(4+3)
Step-by-step explanation:
Answer:
22 degrees
Step-by-step explanation:
so if we take this here we know for sure that DZP is equal to 90 degrees
so DZP is split by QZD and QZP
so we take the 90 degrees we know for sure and then we take the two angle measurements we know
and we make this equation
9x + 5 + 3x + 1 = 90
and then we simplify this and it leaves us with
12x + 6 = 90
12x = 84
x = 7
so now that we have what x equals we plug that into QZP in order to find the actual measurement of this angle
3x + 1
3 (7) + 1
21 + 1
leaving us with our answer 22 degrees
and if you want to double check this answer just do the same thing we just did with QZD and plug in x into the equation and then add our answer 22 and the other answer you get for QZD and if that adds up to 90 then that is correct!
hope this helps!
Answer:
1, 5, 15
Step-by-step explanation:
First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.