Answer:
Step-by-step explanation:
Find the slope of the line AB.
<u>The slope:</u>
- m = (11 - 9)/(11 - 7) = 2/4 = 1/2
Since the altitude is perpendicular to AB, it has a slope of -2.
The line with the slope of -2 and passes through point C(6, 16).
<u>Use point-slope equation to find the line:</u>
- y - 16 = -2(x - 6)
- y - 16 = -2x + 12
- y + 2x = 16 + 12
- 2x + y = 28
A = 2, B = 1, C = 28
Answer:
x = -5 and x+1( consecutive integer) = -4
obviously x is smaller than the next integer
Step-by-step explanation:
Let the first integer be x
hence the consecutive integer is x +1
according to the give condition
x + 6(x + 1) = -29
x + 6x + 6 = -29
7x = -29 -6
7 x = -35
x = -35/7
x = -5
x + 1 = -5 + 1 = -4
GOOD LUCK FOR THE FUTURE! : )
Answer:
Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.
I did this lesson i asked my teacher to help me but i did this problem on my own so i hope its right :)
Step-by-step explanation:
Answer:
3 shirts, 6 shorts
Step-by-step explanation:
A total of $264 is spent during shopping on shirts and shorts
Each shirt costs $24
Each shorts cost $32
Therefore the quantity of shirts and shorts bought can be calculated as follows
24× 3= 72
32×6= 192
192+72= 264
Hence 3 shirts and 6 shorts were bought
Answer:
Hip breadths less than or equal to 16.1 in. includes 90% of the males.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 14.5
Standard Deviation, σ = 1.2
We are given that the distribution of hip breadths is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.10.
P(X > x)
Calculation the value from standard normal z table, we have,
Hence, hip breadth of 16.1 in. separates the smallest 90% from the largest 10%.
That is hip breaths greater than 16.1 in. lies in the larger 10%.
