1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tekilochka [14]
3 years ago
12

CD is perpendicular to AB and passes through point C5, 12).

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0

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 mCD = -\frac{1}{mAB}

Hence we start from determining slope of AB

slope is given as

m= \frac{y_2-y_1}{x_2-x_1}

m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1

Hence mAB=1

There fore mCD=-1

(∵  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)

m=\frac{y-y_1}{x-x_1}

-1=\frac{y-12}{x-5}

-x+5=y-12

y=-x+17

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

0=-x+17

x=17

Hence the x intercept is 17

You might be interested in
Determine all the unknown values of the figure below.
Vanyuwa [196]

Answer:

F=10, S=26

Step-by-step explanation:

We know that the base is 24. Using that information, 10^2+24^2=26^2 which is a pythagorean triple

3 0
3 years ago
What to fractions equal 1/3
makkiz [27]

Answer:

2/6 and 3/ 9 just multiply by whatever on both sides

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The volume of a cylinder is 4πx3 cubic units and its height is x units. Which expression represents the radius of the cylinder,
igor_vitrenko [27]

Answer:

2x

The answer is A.

4 0
2 years ago
Read 2 more answers
charlie needs to make a total of 60 deliveries this week. so far he has completed 18 of them. what percentage of his total deliv
VladimirAG [237]
18 / 60 = 0.3
Charlie has completed 30% of his deliveries
5 0
3 years ago
Help?<br>what do I do? Thanks x
Elena L [17]
The correct answer would be 3
6 0
3 years ago
Other questions:
  • 7 x (3 + 2) = (7 x 3) + (7 x 2)<br> What property
    9·2 answers
  • The Golden Gate Bridge in San Francisco is 4200 feet long. The Brooklyn Bridge in New York City is 3/5 as long. How long is the
    5·1 answer
  • A rectangle stained glass window is 2 feet by 4 feet. A clear glass border is constructed around the stained glass window. The w
    12·1 answer
  • What is the GCF of 44j^5k^4 and 121j^2k^6?
    12·2 answers
  • What’s the least common denominator of 9,2 and 17
    10·1 answer
  • What is the area of this figure?
    8·1 answer
  • A half marothon is 13 miles, how many kilometers is that?
    9·1 answer
  • Please Help Me !!! Thanks whoever answers it
    6·1 answer
  • A submarine is at the depth of -300 meters. It is rising 50 meters every hour. What is the depth of the submarine after 4 hours?
    14·1 answer
  • Please explain the answer, no links or random words or I will report you.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!