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
AnnyKZ [126]
3 years ago
6

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

Mathematics
1 answer:
Viefleur [7K]3 years ago
4 0
If we need our line to pass through point C, then we have to use the x and  coordinates of point C in our new equation.  If that line is to be perpendicular to AB, we also need to find the slope of AB and then take its opposite reciprocal.  First things first.  Point C lies at (6, 4) so we will use x = 6 and y = 4 in our equation in a bit.  The coordinates of A are (-2, 4) and the coordinates of B are (2, -8) so the slope between them is m= \frac{-8-4}{2-(-2)} which is -3.  The opposite reciprocal of -3 is 1/3.  That's the slope we will use along with the points from C to write the new equation.  We will do this by plugging in x, y, and m (slope) into the slope-intercept form of a line and solve for b.  4= \frac{1}{3} (6)+b and 4 = 2 + b.  So b = 2.  That's the y-intercept, the point on the y axis where the line goes through when x is 0.  Therefore, the point you're looking for is (0, 2).
You might be interested in
How many feet are in 2.5 miles if there are 1,760 yards in one mile (1 yd = 3 ft)
Shkiper50 [21]

Answer:

1760 yards

1 mile = 1760 yards. The symbol is "mi".

Step-by-step explanation:

3 0
3 years ago
Round 227033 to the nearest ten thousand
Sonbull [250]

I a pretty sure it is 228,000 but i am not sure.

7 0
3 years ago
Read 2 more answers
Find the equation of the line with Slope = -4 and passing through (-1,8). Write your equation in the form
Thepotemich [5.8K]

Answer:

y= -4x+4

Step-by-step explanation:

y=mx+b

where x=-1, y=8, and m=-4

8=(-4)(-1)+b

8=4+b

4=b

Thus, y= -4x+4

8 0
2 years ago
MODELING REAL LIFE A post-and-beam frame for a shed is shown in the diagram. Does the brace form a right triangle with the post-
Rainbow [258]

To find out if the triangle is a right triangle, we must check if the following equation is true:

(15)^2+(20)^2=(25)^2^{}^{}^{}

on the left side, we have:

(15)^2+(20)^2=225+400=625^{}

and on the right side, we have:

(25)^2=625

since on both sides we get 625, we have that the brace forms a right triangle.

7 0
1 year ago
In MON, J, K, and L are midpoints. If JL = 11, LK = 13, and ON = 20, and JL || MN, LK || MO, and JK || ON, what is the length of
In-s [12.5K]

Answer:

The lengths of MN is 22 units, MO is 26 units and JK is 10 units

Step-by-step explanation:

<em>A l</em><em>ine segment</em><em> joining the </em><em>mid-points of two sides</em><em> in a triangle is </em><em>parallel to the third side</em><em> and </em><em>equal to half its length</em>

In Δ MON

∵ J, K, and L are mid-points

∵ JL // MN and LK // MO

∴ L is the mid-point of ON

∴ J is the mid-point of MO

∴ K is the mid-point of MN

∵ J, L are the mid-points of MO and ON

∵ JL is opposite to MN

→ By using the rule above

∴ JL = \frac{1}{2} MN

∵ JL = 11 units

∴ 11 = \frac{1}{2} MN

→ Multiply both sides by 2

∴ 22 = MN

∴ MN = 22 units

∵ K, L are the mid-points of MN and ON

∵ KL is opposite to MO

→ By using the rule above

∴ KL = \frac{1}{2} MO

∵ KL = 13 units

∴ 13 = \frac{1}{2} MO

→ Multiply both sides by 2

∴ 26 = MO

∴ MO = 26 units

∵ J, K are the mid-points of MO and MN

∵ JK is opposite to ON

→ By using the rule above

∴ JK = \frac{1}{2} ON

∵ ON =20 units

∴ JK = \frac{1}{2} (20)

∴ JK = 10 units

∴ The lengths of MN are 22 units, MO is 26 units and JK is 10 units

3 0
3 years ago
Other questions:
  • In whole milk, 13 parts out of 400 are milk fat. In 2% milk, 1 part out of 50 is milk fat. Which type of milk has more milk fat
    10·2 answers
  • Sales tax in Albany County is 7%, or .07 for each dollar spent. Which expression shows how to calculate the sales tax on a purch
    6·2 answers
  • What is the LCM of 12, 25, and 36?
    7·2 answers
  • PLEASE HELP!!!!<br><br>-0.5 1/2 0.7 -4/4 from least to greatest​
    13·1 answer
  • ANYONE WHO ANSWERS THIS GETS BRAINIEST!! THANK YOU!!! :)
    7·1 answer
  • HELP PLEASE I NEED HELP ASAP!!
    7·1 answer
  • A group of 19 boys and 18 girls are attending a pottery class. Each pottery table can seat 6 people.
    14·1 answer
  • Help<br> _<br> _<br> _<br> _<br> __<br><br> _<br><br><br> __<br><br> -bv
    14·2 answers
  • Which will have the Greater Rate of Change? Growing 14 inches in 2 years or Growing 11 inches in 19 months
    11·1 answer
  • I will give you brainliest or whatever it’s called just pls answer within 45 minutes !!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!