If CD is perpendicular on AB then the x intercept of CD is (17,0).
Given that CD is perpendicular on AB and passes through C(5,12) and the coordinates of A and B are (-10,-3), (7,14).
When two lines are perpendicular on other line then the product of their slopes is equal to -1.
It is given that CD is perpendicular on AB. So we need to first calculate the slope of AB.
Slope=
Slope of AB=(14+3/7+10)
=(17/17)
=1
According to rule product of slopes of AB and CD should be -1.
So the slope of CD will be -1.
Now we have to form equation of CD from slope -1 and point (5,12).
y-12=-1(x-5)
y-12=-x+5
x+y-17=0
We have to find out x intercept.
We know that x intercept is a point where the line touches x axis. So here the value of y =0.
x+y-17=0
put the value of y=0.
x+0-17=0
x=17
Point will be (17,0)
Hence the x intercept of CD will be (17,0).
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Question is incomplete as it should include in its beginning that CD is perpendicular on AB.
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Answer:
arc AB = 3.14 in
Step-by-step explanation:
circumference of full circle = π2r = (3.14)(2)(6) = 37.68 in
arc AB = (30°/360°)(37.68) = 3.14 in
<u>Unit rate 4:</u>
The table
d n
4 1
8 2
16 4
<u>Unit rate 1/4:</u>
Table
d n
1 4
4 16
16 64
and
The equation n=4d
<u>Unit rate 16:</u>
Equation:
d = 16n
Step-by-step explanation:
The unit in the unit rate is dollars per unit ounces which means that the unit rate calculated by

So,
The first option is the equation:

The unit rate is 16 dollars per ounce
The second option is the table:
d n
1 4
4 16
16 64
We can take any pair of values of d and n from the table to calculate the unit rate
So taking
d = 1
n=4

The unit rate for table is: 1/4 dollars per ounces
Third option is the equation:
n = 4d

dividing both sides by n

dividing both sides by 4

the unit rate is 1/4 dollars per ounce
Fourth option is the table:
d n
4 1
8 2
16 4
We will take any pair of d and n to find the unit rate
So,
Taking
d = 4
n =1

The unit rate is 4 dollars per unit ounce.
Keywords: Unit rate, units
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Answer : 169
Step-by-step explanation:
4(x+19) = 752
4x +76 = 752
4x = 752 - 76
x = 676/4
x=169
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