!!!!!!Please help ASAP!!!!!
AB and BC form a right angle at their point of intersection, B. If the coordinates of A and Bare (14, -1) and (2, 1), respectively, the y-intercept of AB is 4/3 and the equation of BC is y= 6 X + If the y-coordinate of point Cis 13, its x-coordinate is
Answers
Answer:
Step-by-step explanation:
Segments AB and BC intersect each other at 90° at B.
Let the equation of the segment AB → y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the line AB passing through A(14, -1) and B(2, 1)
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{1+1}{2-14}[/tex]
= [tex]-\frac{2}{12}[/tex]
= [tex]-\frac{1}{6}[/tex]
Equation of the line will be,
[tex]y=-\frac{1}{6}(x)+b[/tex]
Since, AB passes through (2, 1)
[tex]1=-\frac{1}{6}(2)+b[/tex]
[tex]b=1+\frac{1}{3}[/tex]
[tex]b=\frac{4}{3}[/tex]
Therefore, y-intercept of AB = [tex]\frac{4}{3}[/tex]
Equation of AB → [tex]y=-\frac{1}{6}(x)+\frac{4}{3}[/tex]
Since, line BC is perpendicular to AB,
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
Here, [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of line AB and BC respectively.
By this property,
[tex]-\frac{1}{6}\times m_2=-1[/tex]
[tex]m_2=6[/tex]
Equation of a line passing through a point (h, k) and slope 'm' is,
(y - k) = m(x - h)
Therefore, equation of line BC passing through B(2, 1) and slope = 6,
y - 1 = 6(x - 2)
y = 6x - 11
Since, line BC passes through C(x, 13),
13 = 6x - 11
6x = 24
x = 4
Therefore, x-coordinate of point C will be, x = 4
Related Questions
Start at the origin. Move 2 units right and 8 units up. What is the ordered pair for this point? pls help ASAP
Answers
Answer: (2,8)
Step-by-step explanation:
The origin is the point (0,0), so when you move two units right you land on the x-value of 2. From there you then add 8 units, putting you at the y-value of 8. Therefore, you end with the point (2,8) after this translation.
1
1
1
4
2
4
2
2
3
9
343
4 16
4
1
B
D
y
ху
1 12
1 3
2
1
25
3 3/2
37
4
2
9
Which table shows y as DIRECTLY PROPORTIONAL tox?
0
A)
A
B)
B
D
D
D
Answers
Answer:
what are you trying to do or say
A 10 ft board is to be cut into three pieces, two equal- length ones and the third 9 in shorter than each of the other two. If the cutting does not result in any length being lost, how long are the pieces?
Answers
Answer:
Let x represent one of the equal length sides making the third side which is 3 inches shorter than each of the other two equal to:
Third piece = x − 3 . Knowing that the whole board is 10 feet, in inches it is:
10 feet × 12 inches / 1 foot = 120 inches
To find the length of the pieces, add them and equate it to the legth of the board in inches as shown below:
x + x + x − 3 = 120 + 3
3 x /3 = 123 /3
x = 41 inches
Third piece = x − 3 =
41 − 3
= 38 inches
Step-by-step explanation:
The area formula also works with numbers that aren’t whole. A standardpiece of paper has a height of 8.5 inches and width of 11 inches. What is the area?
Answers
Answer:
it is 93.5
Step-by-step explanation:
ok im on
3) Assume the point of tangency at the
diameter. Solve for the value of x (be
careful, there is a trick!)
18
7.1
Answers
Help please it important
Answers
corresponding angle because 1 is correspondence to 45 degree
Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is 7, Hannah wins. If the sum is not 7, Corrine wins. Corrine says Hannah can win only if the following occurs:
1 on the first cube, 6 on the second cube
2 on the first cube, 5 on the second cube
3 on the first cube, 4 on the second cube
Which best explains if Corrine is correct?
Corrine is correct because there are only three ways to have a sum of 7 when the cubes are rolled.
Corrine is correct because there are no 7s on the cubes, so Hannah must roll a greater number on the second cube.
Corrine is not correct because Hannah can also roll doubles on the cubes, such as 3 on the first cube and 3 on the second cube or 4 on the first cube and 4 on the second cube.
Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
Answers
D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
Step-by-step explanation:
To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:
1 on the first cube, 6 on the second cube
or
6 on the first cube, 1 on the second cube
2 on the first cube, 5 on the second cube
or
5 on the first cube, 2 on the second cube
3 on the first cube, 4 on the second cube
or
4 on the first cube, 3 on the second cube
Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
Property of 10+5=5+10
Answers
Answer:
Commutative Property of Addition
Answer:
Commutative property
Step-by-step explanation:
The commutative property is when the order of the addends is changed, the sum stays the same.
Ex. 3+7 = 7+3
Both 3+7 and 7+3 = 10
Here is the third problem:)
Answers
Answer:
15.0
Step-by-step explanation:
we are finidng the adjacent angle, they have given us the opposite and the missing adjacent side so we use tan
tan25=7/x
since x is at the bottom then switch
x= 7/tan25
x= 15. 012
Answer:
x = 15.01
Step-by-step explanation:
Given degrees 25
Since x is between the right angle and 25, x is adjacent
7 being the other shortest side would be the opposite
Given adjacent and opposite, you can use tangent
Tangent = opposite/adjacent
Tan(25) = 7/x
0.4663076582 = 7/x
x = 7/0.4663076582 (use calculator)
Solution: x = 15.0115484421
Plz help me well mark brainliest if you are correct!!.....
Answers
Step-by-step explanation:
the base is 5unit and the height is 9unit
Answer:
The base is 5 units the height is 9 units
Step-by-step explanation:
Just count the blocks in the diagram
base = 5
Height = 9
determine the perimeter of quadrilateral CGHI
Answers
Answer:
if the sides are 2, 3, 4.2, 2.6 then the perimeter is 11.8
Step-by-step explanation:
just add them together
What are the zeros of the function y = 2x2 + 9x+4 ?
Help pls! ;-;
Answers
Answer:
x = {-4, -1/2}
Step-by-step explanation:
2x² + 9x + 4 = 0
Factor
(2x + 1)(x + 4) = 0
2x + 1 = 0
x = -1/2
x + 4 = 0
x = -4
x = {-4, -1/2}
What is the volume of the cylinder below?
Answers
Answer:
[tex]Volume=80\pi[/tex] [tex]units^{2}[/tex]
Step-by-step explanation:
Perpendicular height of the base of cylinder h = 5 units
Slant height I = 6 units
Radius of the cylinder r = 4 units
Volume of the lateral cylinder is
[tex]V = \pi r^{2} h[/tex]-----------(1)
Where r is radius of the cylinder
And h is perpendicular height of the base of cylinder.
Now, we substitute r and h value in equation 1.
[tex]V=\pi[/tex] × [tex]4^{2}[/tex] × [tex]5[/tex]
[tex]V=\pi[/tex] × [tex]16[/tex] x [tex]5[/tex]
[tex]V=\pi[/tex] × [tex]80[/tex]
[tex]V=80\pi[/tex] [tex]units^{2}[/tex]
Therefore, the volume of the given cylinder is [tex]80\pi[/tex] [tex]units^2[/tex].
PLZ HELP I WILL GIVE BRAINLIEST
Answers
Answer:
33 m^2
Step-by-step explanation:
Since the area of a kite can be found by h1*b1 + h2*b2, the area is
3 * 1 + 3 * 10 = 33 m^2
sum difference place value of 2 in 4242
Answers
Answer:
[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]
4242
2 = 200 ( 2 is in hundred's place )
4242
2 = 2 ( one's place )
Difference = ?
[tex] = 200 - 2 \\ = 198[/tex]
Sum = ?
[tex] = 200 + 2 \\ = 2[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
WILL
GIVE BRAINLIST ANSWER
...
.
..
.
..
.
.
.
.
Answers
Answer:
-10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
Answer:
YOU POST THIS TWICE
IT'S -10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
I would greatly appreciate if you could solve this 4 me. Thank you!
Answers
Answer:
B would be your Answer
Step-by-step explanation:
There are three 2s, one 2 1/4, three 2 1/2, two 2 3/4, and one 3 (which is all displayed on B).
Hope this helped :)
Almost there! I can smell the victory
Answers
Answer:
165
Step-by-step explanation:
18 x 6 = 108
19 x 3 = 57
108 + 57 = 165
:)
can anyone help me with this?
Answers
Answer:
x = 51
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Which means that 77 + 107 + 156 + 149 + x = 540
^ ( note that we just created an equation that we can
use to solve for x )
We then solve for x using that equation
77 + 107 + 156 + 149 + x = 540
step 1 combine like terms
77 + 107 + 156 + 149 = 489
we now have 489 + x = 540
step 2 subtract 489 from each side
489 - 489 cancels out
540 - 489 = 51
we're left with x = 51
Please If you plan to help me with any of these and respond to I would be grateful please show that this application is for good answers God bless you
Answers
Answer:
Step-by-step explanation:
Whether you’re job searching, working on your professional development, or building your career, you’ve probably been in a situation that warranted showing appreciation and gratitude. Perhaps you received a job lead and a pep talk from a former colleague. Maybe you had an informational interview with someone who has now taken you under their wing and is serving as a mentor. It might even be a family member who’s your greatest fan. Whatever the situation, one way to show gratitude is to write a thank-you note that expresses your appreciation.
evaluate the expression when a = -15 and b = -5 b+14/a
Answers
If a fair coin is tossed 7 times, what is the probability, to the nearest thousandth, of getting exactly 5 heads?
Answers
Answer:
0.164
Step-by-step explanation:
delta math said so but
n=7 ; r=5; p=1/2
q= 1- 1/2 = 1/2
7c5(1/2)^5 (1/2)^2 = 0.16406 which is 0.164
Kevin rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 94 cents for each mile driven, Kevin had to pay
$214.59 when he returned the truck. For how many miles did he drive the truck?
miles
?
PLS HELP
Answers
Answer:
Owner-operators may take in over $260,000 in gross revenue, but once you deduct expenses, maintenance and all of the costs that go along with running a truck, many don’t earn much more than experienced company drivers. It costs about $180,000 per year to run a commercial truck. Operating costs in the trucking industry are about $1.38 per mile.
Step-by-step explanation:
A cone has a height of 20 centimeters and a radius of 18 centimeters. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
6785.84
Step-by-step explanation:
A rectangular yard has dimensions 10 meters by 8 meters. In the middle of the yard is a rectangular pond of 8 square meters, leaving a uniform walkway around the pond. Write a quadratic equation in standard form to find the width of the walkway.
Answers
hahahaha i had this same question in my grade
A new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year. What will the value of the car be, to the nearest cent, after 15 years?
Answers
Answer:
1137004: A new car is purchased for 17000 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 12 years?
Step-by-step explanation:
I nEd the answer pls
Answers
Answer:
C
Step-by-step explanation:
[tex]SA = 2(lw) + 2(lh) + 2(wh)[/tex]
Solve for x. Round your answer to the nearest tenth
Answers
Answer:
Step-by-step explanation:
sin^1(17/19)
x= 63.475 round it how u want
HELPPPPPPP PLEASE. IM SO CONFUSED IM WEIRD
Answers
I think that the answer is A.
PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!
Mrs. Lee randomly surveyed 25 of her 125 students about their pets. Her survey indicate that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Lee's best estimate of the total number of her students who have a dog?
A. 70
B. 35
C. 10
D. 40
Answers
Answer: Hello! When I tried solving the problem and I got the answer of 70.
Step-by-step explanation:
So, 14 out of the 25 kids have a dog. If you were to have 125 kids which if 5 times the first 25 kids it would be 14 x 5 which is 70.