The coordinate point P is at (6, 8) given AB with A(3,-1) and B(8, 14), if p lies on AB such that the ratio of AP to PB is 2:3 is (6, 8)
Midpoint is the point that divides a line into two equal parts.
The formula for calculating the midpoint of a line divided within the ratio a:b is expressed as:
[tex]M(X, Y)=(\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b} )[/tex]
Given the coordinate point A(3,-1) and B(8, 14) and the ratio 2:3
Get the X coordinate of point P
[tex]X = \frac{2(3)+3(8)}{2+3}\\X=\frac{6+24}{5} \\X = \frac{30}{5}\\X=6[/tex]
Get the Y coordinate of point P
[tex]Y = \frac{2(-1)+3(14)}{2+3}\\Y=\frac{-2+42}{5} \\Y = \frac{40}{5}\\Y=8[/tex]
hence the coordinate point P is at (6, 8)
Learn more here: https://brainly.com/question/13989426
Using the order of operations, what should be done first to evaluate (-2)+4= (-15 +9)(3) - 4?
O Add -15 and 9.
O Divide 4 by -15.
O Subtract 4 from 3.
O Multiply 9 by 3.
If a motorbike travels 2.4 km in 5 minute find, its average velocity. please write step by step from which I could understand..
Answer:
8m/s
Explanation:
Given,
Distance covered (s) = 2.4 = 2.4 * 1000 = 2400m
Time taken (t) = 5 = 5 * 60 = 300
Now,
v = s/t
or, v * t = s
or, v * 2400 = 300
or, v = 2400/300
or, v = 8m/s
What is 5 to the 4th power times 7 to the 4th power? HELP!!!
Answer:
1500625
Work:
5^4 = 625
7^4 = 2401
Multiply them and it equals 1500625
what is the simplified expression for-
HURRY PLEASE
Answer:
3/2
Step-by-step explanation:
you basically just simplify the exponents first, and then simplify from there.
PLEASE! HELP HELP HELP!
Answer:
it's say download FPD SORRY I CAN'T SLOVE IT
I need with question
Answer:
AB = 26
Step-by-step explanation:
BC = 36
AC = 62
AB = ?
to find ab we need to
AB + BC = AC (given)
AB + 36 = 62
AB = 62 - 36
AB = 26
3 x + 10° and 4 x - 5° are the angle of linear pair, find the measurement
Step-by-step explanation:
3x jdkdkdlieoeososkdjd
I'm thinking of a number. If you multiply it by 5 and then subtract 24, you will get -44. What is my number?
Answer:
4
Step-by-step explanation:
let y = the number
y x 5 - 24 = -44
y x 5 = -44 + 24
y x 5 = 20
y = 20/5
y = 4
a ballroom had a square dance floor. The area of the floor is 400 square feet. If the length of each side of the square increased by one foot, would its area be a rational number?
Answer:
Yes
Step-by-step explanation:
The area of a square is equal to the length squared.
So, the length of one side of the original floor is √400 which equals 20.
If you increase the length by 1, the area of the dance floor is 21 squared.
21 * 21 is certainly a rational number.
Answer:
Step-by-step explanation:
I think so, yes.
The area of a square is A = s*s where s is the length of the side
s^2 = 400
sqrt(s^2) = sqrt(400)
s = 20
If you increase each dimension by one foot you get 21 * 21 for the area of the new ballroom.
The result is rational. That's because the square root was rational when you found 20.
Area = 21 * 21 = 441 which is rational.
What are the coordinates of the point
22 23
of the way from A to B?
Answer:
(-1,-1)
Step-by-step explanation:
(3s+5)(2s+11) i need help ASAP
Answer:
6[tex]s^{2}[/tex] + 43s + 55
Step-by-step explanation
(3s+5)(2s+11)
Distribute
3s x 2s = 6[tex]s^{2}[/tex]
3s x 11 = 33s
5 x 2s = 10s
5 x 11 = 55
Add like terms
6[tex]s^{2}[/tex] + 43s + 55
He spent $___ on gas?
Answer:
Step-by-step explanation: 15 minus 6.2 is 8.8 thats how much he needs to fill upp if it is 3.50 a gallon you would multiply to get 30.8 thats how much money he spent on gas
Write a rule for each graph below.
Answer:
a. y = x - 2
Step-by-step explanation:
y = a.x + b
from the graph: x = 0, y = -2 --> b = -2
x = 2, y = 0 --> 0 = a.2 -2 --> a = 1
What do you mean by rational numbers? Give an example of rational number.
Any number that can be written as a fraction with integers is called a rational number.
example are:1/2,-1,0,3....
hope it help.
stay safe healthy and happy.m^2=81 is true for
I NEED HELP GUYS
Answer:
yes
Step-by-step explanation:
Answer:
It's true for values of m = ±9
Explanation:
for m = -9 :
[tex] {( {}^{ - } 9)}^{2} = 81[/tex]
For m = +9 :
[tex]( {}^{ + } 9) {}^{2} = 81[/tex]
hence m is -9 and +9
(-33)+(-7)=
9+(-15)=
5-(-46)=
if any brave soul can do THREE of these.. u gona get brainy or somethin
Answer:
-40
-6
51
Step-by-step explanation:
-33+-7 you are adding two negatives
9+(-15) you are adding a negative to a positive which gets you closer to zero
5-(-46) you are subtracting a negative which is adding
please help me out!! :((
Answer:
10
Step-by-step explanation:
Since s is the side length substitute s for 5:
0.4(5)^2
then do 5^2 which will give you:
5 x 5 = 25
then multiply 0.4 and 25 which is:
0.4 x 25 = 10
You could also do this:
0.4 x 5 = 2
2^2 = 2 x 2 = 4
But The correct answer would be 10 because you would do the exponents first because it is in pemdas
P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction
if the first answer is correct please give me Brainliest.
What’s is the sum of 3x-5 and 12-x expressed as a binomial
Answer:
2x+7
Step-by-step explanation:
3x +(-x) = 3x - x, so it's 2x
12 + (-5) is the same situation, just being 12 - 5, so it's 7.
putting them together leaves you with 2x+7
A chemist is studying dissolved gases in the ocean. She graphs her data as shown below.
Based on the data, what would likely be the abundance of organisms that perform aerobic cellular respiration at a depth of 1,000 meters compared to near the surface? What adaptation would most benefit these organisms, based on the data provided?
Answer:
aquatic environment is best fit
Answer:
Based on the data, there would likely be a very low amount of organisms performing aerobic cellular respiration at 1,000 meters as compared to the surface. This is due to the sudden drop in oxygen concentrations from 6 to 1.8 between 800-1,000 meters, while carbon dioxide increased from 44 ml/l to 49 ml/l.
The most beneficial adaptation for organisms based on the data would be anaerobic cellular respiration (without oxygen).
Step-by-step explanation:
Aerobic cellular respiration is a chemical process where oxygen is required to create energy from carbohydrates.
what is 1/16 minus 7/12 i need help
solve the simultaneous equation:
3y=2(x^2-3)
2x-y=2
Answer:
(0, - 2 ) and (3, 4 )
Step-by-step explanation:
Given the equations
3y = 2(x² - 3) , that is
3y = 2x² - 6 → (1)
2x - y = 2 (add y to both sides )
2x = 2 + y ( subtract 2 from both sides )
2x - 2 = y → (2)
Substitute y = 2x - 2 into (1)
3(2x - 2) = 2x² - 6
6x - 6 = 2x² - 6 ( subtract 6x - 6 from bpth sides )
0 = 2x² - 6x ( factor out 2x from each term )
0 = 2x(x - 3)
Equate each factor to zero and solve for x
2x = 0 ⇒ x = 0
x - 3 = 0 ⇒ x = 3
Substitute these values into (2) for corresponding values of y
x = 0 : y = 2(0) - 2 = 0 - 2 = - 2 ⇒ (0, - 2 )
x = 3 : y = 2(3) - 2 = 6 - 2 = 4 ⇒ (3, 4 )
solve for x
-3x + 5= -8 + 10
Answer:
1
Step-by-step explanation:
you should remove 8 out of 10 then 2 will remain
then add negative 5 to both sides then we will left with -3x = -3
divide -3 on both sides we find x = 1
Answer:
x=1
Step-by-step explanation:
-3x + 5= -8 + 10
Combine like terms
-3x+5 = 2
Subtract 5 from each side
-3x+5-5 = 2-5
-3x = -3
Divide by -3
-3x/-3 = -3/-3
x =1
Answer but show your work please homies
I____V____L
IL=IV+LV
48 = x² + 2x
x²+2x – 48 =0
(x‐6)(x+8)=0
x-6=0—>x=6
x+8=0—>x= ‐ 8
SO; X = 6 , – 8I hope I helped you^_^
Please help, I can’t do this
Answer:
Choice 3. -4x-3<13
Step-by-step explanation:
First, you will use process of elimination and cross out any obvious wrong answers. You can see that the symbol would not be flipped yet so the "<" would be pointing to less than. That eliminates choice 1 and 4. Now, You can observe the 3rd step and see that -4x<16, to get that, you would need a "-4x" in the equation. Number 2 is 2x so that can't be right. Therefore, the answer is choice 3. This simple process of elimination and looking for clues will help you greatly in multiple choice problems instead of solving it the hard way.
Answer: C
Step-by-step explanation:
[tex]-x-3 < 13+3x\\\\\Longleftrightarrow\ -x-3x-3 < 13\\\\this \ step \ is \ missing\ -4x-3 < 13\\\\\Longleftrightarrow\ -4x < 13 + 3\\\\\Longleftrightarrow\ -4x < 16\\\\\Longleftrightarrow\ 4x > -16\\\\\Longleftrightarrow\ x > -4\\\\Answer\ C[/tex]
39³(50y²-98) / 26y²(5y+7) please help me to solve this question please please please please please please please please please please please please
oh yeah thats easy it's 21 not much of a explanation needed
A water tank looses water at a constant rate. After one minute it contains 44.8 gallons of water and after five minutes it contains 32 gallons of water. If the amount of water depends on the amount of time that passes, what is the rate of change at which the water tank looses water?
Answer:
2.56 gallons per minute!
Step-by-step explanation:
44.8 gallons - 32 gallons = 12.8 gallons
12.8 gallons in 5 minutes - so we need to find the unit rate (per one minute)
12.8/5 = 2.56
2.56 gallons per minute!
What is an equation of the line that passes through the points (-4, -5) and
(-2, – 6)?
Answer:
y = -1/2x - 7
Step-by-step explanation:
y2 - y1 / x2 - x1
-6 - (-5) / -2 - (-4)
-1 / 2
= -1/2
y = -1/2x + b
-5 = -1/2(-4) + b
-5 = 2 + b
-7 = b
Find the missing number so that the equation has no solutions.
x–10=
–
2x–15
Answer:
X=-5/3
Step-by-step explanation:
If f (x) = -3x+4 and g(x) =2,solve for the value of x for which f (x) =g(x) is true.
X=
Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Equate f(x) and g(x) , that is
- 3x + 4 = 2 ( subtract 4 from both sides )
- 3x = - 2 ( divide both sides by - 3 )
x = [tex]\frac{-2}{-3}[/tex] = [tex]\frac{2}{3}[/tex]
Answer part A and part B
Answer: Part A: a square pyramid Part B: 84 square feet
Step-by-step explanation:
Part A: The shape will have a base that is a square with triangles on each of its edges that connect at a point at the top.
Part B: The amount of nylon needed is the surface area of the net. There is a square and two triangles. The square has a side length of 6 so its area will be 6*6=36 square feet. Each triangle has a base of 6 and a height of 4 so each of their areas will be [tex]\frac{6*4}{2}=12[/tex] square feet. Adding up the area of the 4 triangles and the square gives us 4*12+36=84 square feet.
