Answer:
x intercept of CD = 17
Step-by-step explanation:
We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.
For that we need to find the equation of CD
we have coordinates of C , and hence if we have slope of CD we can find equation of CD
Slope of CD can be determine with the help of slope of AB as CD⊥ AB
So, the slope of CD 
Hence we start from determining slope of AB
slope is given as
Hence 
There fore 
(∵ Product of Slopes of two perpendicular lines is always -1)
Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)
Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x
Hence the x intercept is 17
Answer: 12 9/10 and 10 7/8
Step-by-step explanation:
5 8/10 plus 7 1/10 equals 12 9/10
8 5/8 plus 2 2/8 equals 10 7/8
Answer:
x=7, so the smaller number is 7 and the larger number is 21.
Step-by-step explanation:
x=3x+5=33
Let x=3:
(3)+3(3)+5=3+9+5=17, not 33, so x is not 3
Let x=5:
(5)+3(5)+5=5+15+5=25, not 33, so x is not 5
Let x=7:
(7)+3(7)+5=7+21+5=33, so x=7
Let x=9:
(9)+3(9)+5=9+27+5=41, not 33, so x is not 9
Therefore x=7. Because x represents the smaller number, and the larger number is 3 times the smaller number, the smaller number is 7 and the larger number is 3(7)=21.
Hey there!
In order to solve this problem, we can use the Pythagorean Theorem, which is 
. Since the Pythagorean Theorem would find only half of the length of x, we'll need to double it in the end.
First, let's plug in what we know to the Pythagorean Theorem: 
Next, we'll simplify to that 
is by itself:
Then, we'll find the square root of 2.45, multiply that by 2 and round to the nearest tenth:
Therefore, x = 3.1 ft.
How to round to the nearest tenth:
In a decimal, the tenth is the first number after the decimal point. To round to the tenth, if the number in the hundredth place is less than 5, you keep the number as it is, but if the number in the hundredth place is more than 5, you increase the number in the tenth place by 1.
Hope this helps!! :)
