The lines AB and CB intersect at B
(a) Find the co-ordinates of the midpoint of AB
(b) Find the equation of the line CB
Step-by-step explanation:
Soln
given,
from the figure
coordinate of B is (5,3),
A(7,0) and C(0,4)
A. solution
let, M(x,y) be the mid point of AB
A(7,0) = (x1,y1)
B(5,3) = (x2,y2)
we know
x = (x2+x1)/2
or, x = (5+7)/2
or, x = 12/2
or, x = 6
and for y
y = (y2+y1)/2
or, y = (3+0)/2
or, y = 3/2
therefore M(x,y) = (6,3/2)
B. solution
let,
C(0,4) = (x1,y1)
B(5,3) = (x2,y2)
equation of line is ;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
or, (y - 4)/(x -0) = (3 - 4)/(5 - 0)
or, (y - 4)/(x - 0) = -1 / 5
by cross multiply
or, 5×(y - 4) = -1×(x)
or, 5y - 20 = -x
or, x + 5y = 20 is the required equation.
8 friends 5/8 over eight bags of chips . what fraction of the bag did each person eat assuming that each ate the same amount
Answer:
5/64
Step-by-step explanation:
1/8*5/8
Answer:
answer is B
5/64
Step-by-step explanation:
hope this helps!
Which number is not a factor of 12 and a multiple of 6
Answer:
ummmm 5 ..............
WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT
Answer:
Angle Y < Angle Z
Step-by-step explanation:
Answer:
angle X < angle Y
Step-by-step explanation:
........
The number 3.07 × 10 -4 written in standard form is _____.
300,700
0.00307
30,700
0.000307
Answer:
0.000307
Step-by-step explanation:there will be no explaintion but it should be correct
Answer:
it should be 0.000307
Step-by-step explanation:
A market research survey has 15 questions and will be sent to 500 people. What is the total cost to conduct the survey if it has a $1,000 base fee plus $5 per question and $2 per person surveyed?
Answer:
Total cost to conduct survey = $2075
Step-by-step explanation:
Given that:
Number of questions on survey = 15
Number of people = 500
Base fee = $1000
Per question charge = $5
Per person surveyed = $2
Let,
q be the number of questions
p be the number of people
Total cost = Base fee + 5q + 2p
Total cost = 1000 + 5(15) + 2(500)
Total cost = 1000 + 75 + 1000
Total cost = $2075
Hence,
Total cost to conduct survey = $2075
3n^2 + 8n + 16 = 2n^2
Answer:
=11n+2+8n+16+2n+2 simplification is 11n+20+2N
Step-by-step explanation:
what is distributive of property
(6e - 3f - 4) * 2
Answer:
12e - 6f - 8
Step-by-step explanation:
(a+b)*c = a*c + b*c
6e * 2 -3f * 2 -4 * 2
Claire and Malia are training for a race.
a. Claire runs 10 km in 1 hour. How many kilometers does she run in half an hour? in 2 1/2 hours?
b. Malia runs 5 miles in 1 hour. How many miles does she run in half an hour? in 2 1/2 hours?
c. On Tuesday, Claire and Malia both ran for 2 1/2 hours. Who ran the farther distance?
Answer:
A. Claie runs 5 km in a half hour. In 2 1/2 hours she runs 25 km.
B. Malia runs 2.5 miles in a half hour, and 12.5 miles in 2 1/2 hours.
C. Claire runs farther. She runs approximately 15.5 miles while Malia runs 12.5 miles.
What is the value of X what is the measure of 2 PLEASE HELPPP
Answer:
x = 11 , m∠2 = 31
Step-by-step explanation:
We know that m∠1 is equal to both 6x+8 and 74
Therefore, 6x+8 = 74
And 6x = 66
x = 11
To find m∠2, we just plug in the value of x that we got earlier
(7x-2) + m∠2 = 106
(77-2) + m∠2 = 106
m∠2 = 31
Can someone help me please!
Answer:
divide the numerator by the denominator
On Monday, Vanessa and Ishaan decided to see how fast they could sprint 200 meters. They asked their friend, Luis, to time them with a stopwatch.
Vanessa sprinted first and ran 200 meters in 54.91 seconds. When it was Ishaan's turn, he sped off and completed the run in 46.07 seconds.
How much faster was Ishaan than Vanessa?
Answer: seconds faster
Answer:
22
Step-by-step explanation:
Mr.Klein's class is selling candy for a fundraiser. The class has a goal of raising $450 for selling (c) boxes of candy. Each box of candy costs $3.75.
Answer:
so since their goal is to get $450 and each candy box is $3.75, what you do is divide $3.75 by $450 you will get $120, soooooooooooooooooooooooooooo you times $3.75 by $120 you will get $450.
Step- by-step explanation:
HELP ASAP
simplify the expression-3÷(-2/5)
Answer:
7.5
Step-by-step explanation:
I need help, I’ve been trying to figure out answers and I’m not getting anywhere is there anyone who could help me with (work shown)
find the value of x.
Answer:
X= 20 degrees
Step-by-step explanation:
Because all the sides are the same length, we know this triangle is an equilateral triangle. In an equilateral triangle, all the angle measures are the same as well, and the sum of all the angles in a triangle is 180 degrees. So we have the equation:
(3x)3= 180
9x= 180
X =20
A bag contains 3 red marbles and 5 blue marbles.
Find the probability of drawing a blue marble,
keeping it, and drawing another blue marble. Write
the probability as a fraction in simplest form.
A rectangular field is 10m longer than wide. The area of the field is 2000m². Find the perimeter of the field.
Answer:
180m
Step-by-step explanation:
Let L = length of field,
W = width of field,
A = field area = 2000 m^2
Lenght = Width + 10m
Let Lenght= x
Width=y
A = X ×Y = (Y + 10)Y= 2000
Y^2 + 10Y- 2000 = 0
Solving using Quadratic eqn with plot
Y= 40 or -50 but we go for the positive root
Width=40m
Length= 40m +10m
= 50m
Perimeter= 2(l+w)
=2(50+40)
180m
Hence, the perimeter is 180 m
CHECK THE ATTACHMENT FOR THE QUADRATIC PLOT
Please help.
Mary is currently 14 years older than her friend Courtney. In 5 years she will be 2 times as old as Courtney. Let x be Courtney’s age and solve for both of their ages.
How old is Courtney?
Answer:
x = 19
Step-by-step explanation:
x = Courtney's current age
14+x = Mary's current age
Mary's current age: 14 + 19 = 33
14 + x + 5 = 2x
19 = x
I need help with Geometry
9514 1404 393
Answer:
(5, 1)
Step-by-step explanation:
Reflection across the x-axis negates the y-coordinate:
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
Rotation 90° CCW is the transformation ...
(x, y) ⇒ (-y, x) . . . . rotation 90° CCW
The two transformations together give ...
(x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW
For point B, this gives ...
B(1, 5) ⇒ B'(5, 1)
6 boy students make up 24% of the total class how many total students are in class
Answer:
There are 25 students in the class.
Step-by-step explanation:
1. Set up an equation. The equation would be 6 = 24/100x.
2. Solve the equation. You can solve this by multiplying both sides by 100/24, and 100/24 * 6 = 25. You would then get that x = 25, which means that the number is 25.
Answer:
25 students
Step-by-step explanation:
25 x 0.24 = 6
find an equation in standard form of a parabola passing through the points below
(1,-1),(5,31),(6,44).
Answer:
Basic parabola: y = ax2 + bx + c
We have 3 points we can plug in for (x, y) to create 3 simultaneous equations
(-2, 24): 24 = 4a - 2b + c {equation 1}
(3, -1): -1 = 9a + 3b + c {equation 2}
(-1, 15): 15 = a - b + c {equation 3}
Solve this system to find the values of a, b, c
Let's first eliminate variable c:
4a - 2b + c = 24 {equation 1}
a - b + c = 15 {equation 3}
--------------------- subtract
3a - b = 9
9a + 3b + c = -1 {equation 2}
a - b + c = 15 {equation 3}
-------------------- subtract
8a + 4b = -16
We now have two equations with 2 unknowns we can use to find a, b
3a - b = 9 {equation 4}
8a + 4b = -16 {equation 5}
Multiply equation 4 through by 4 and add equations
12a - 4b = 36
8a + 4b = -6
----------------- add
20a = 30
a = 30/20
a = 3/2
8a + 4b = -6
8(3/2) + 4b = -6
12 + 4b = -6
4b = -6- 12
4b = -18
b = -18/4
b = -9/2
Plug these 2 values into one of the original equations and solve for c
15 = a - b + c {equation 3}
15 = 3/2 + 9/2 + c
15 = 12/2 + c
15 = 6 + c
c = 15-6
c = 9
y = (3/2)x2 - (9/2)x+ 9
Upvote
•
0
Downvote
Add comment
Still looking for help?
Step-by-step explanation:
8n+7=31 what does n equal
Answer: n = 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
take the 7 and minus it from 31 then divide 8 from 31
please help (picture above)
Answer:
y= 45
x=9
Step-by-step explanation:
plug 5x into y since y=5x:
5x=4x+9
-4. -4
x=9
5(9)=45
Answer:
x=9 y=45
Step-by-step explanation:
y=4x + 9.......(1)
y= 5x.........(2)
Substitute 5x for y in equation 1.
5x= 4x + 9
5x - 4x = 9 (Collect like terms 5 and 4 have x in common if +4 crossover it changes to -4)
x = 9
substitute 9 for x in equation 2.
y = 5(9)
y = 5 x 9(multiplication)
y = 45
What is this answer?
Answer:
The answer is (-1,-10)
hope this helps
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
D. (-1, -10)
Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!
Could anyone help me out please?
Answer:
19.6
I am not sure of my answer
if g(x) =x -7, what if the value of x when g(x) =6
Answer:
x=13
Step-by-step explanation:
1. Place 6 in
6=x-7
2. Evaluate
x=6+7
x=13
PLEASE ANSWER I NEED HELP
Kayla gets paid $15 to rake the lawn. Kayla gets paid 3 times as
much to rake the lawn as she does to mow the lawn. How much
does Kayla get paid to mow the lawn?
Answer:
$5
Step-by-step explanation:
The opposite of multiplication is division.
$15/Raking = 3 times more pay than mowing the lawn.
Divide $15/Raking by 3 and you'll get the pay for mowing the lawn.
15/3 = 5
Answer:
5
Step-by-step explanation:
The surface area for a rectangular prism is given by the formula SA = 2ab + 2bc + 2ac, where a, b, and c are the lengths of the prism. If the surface area of a rectangular prism with side c measuring 12 meters is 434 square meters and length of side a measuring the same length as side b, then what is the length of side a of the rectangular prism?
Answer:
We are given
We are also given and , which allows us to rewrite the equation as
(I substituted every "b" with "a" and every "c" with "9").
The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.
The required measure of side a of the rectangular prism is a = 9.3 meters.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
SA = 2ab + 2bc + 2ac
434 = 2a² + 14a + 14a
434 = 2a² + 28a
2a² + 28a - 434 = 0
a² + 14a - 217 = 0
a² + 14a + 49 - 49 - 217 = 0
(a + 7)² = 266
a = 9.3 or a = -23.3
Since the negative measure of length can be neglected.
a = 9.3 = b
Thus, the required measure of side a of the rectangular prism is a = 9.3 meters.
Learn more about the surface area here: https://brainly.com/question/2835293
#SPJ5
If a = -3, find the value of 3a²
Step-by-step explanation:
given
a = - 3
3a² = 3 * ( -3) ²
= 3 * 9
= 27
The value of 3a² is 27.