Apply the midpoint formula:
\(m=\frac{x1+x2}{2},\frac{y1+y2}{2}\)Where:
m = (7, 3.5)
(x1,y1) = (xm,ym)
(x2,y2) = (xn,yn) = (14,7)
For the x coordinate:
mx = (x1+x2) /2
7 = (xm + 14 ) /2
Solve for xm
7(2) = xm +14
14 = xm +14
14-14 = xm
0 = xm
y-coordinate:
my = (y1+y2) /2
3.5 = (ym + 7 ) /2
3.5 (2) = ym+7
7 = ym +7
7-7 = ym
ym =0
Coordinate of point m = (xm,ym) = (0,0) - option A
The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
12 cm
Calculate the shaded area.
Take pie to be 3.142 and write down all the digits given by your calculator.
Answer:
144 - 36×3.142 = 30.888
30.888 ÷4 = 7.722
how would someone use the cross product property on an equation with 3 different values instead of two? I provided an example image
Using the cross product for the proff of Pythagoras theorem, the correct step is
By the cross product property, AB² = BC multiplied by BD
What is cross product propertyThe cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).
For the similar triangles, the ratio is as follows
BD / BA = BA / BC
BA² = BD * BC
and AB = BA, hence
BA² = BD * BC
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What is the square root of 2x squared?
Given:
\(2x^2\)Let's find the square root of the expression above.
We have:
\(\sqrt[]{(2x)^2}=2x\)Here, the square root will cancel the square. Pull out terms from the radical(square root).
We have the illustration below:
Therefore, the square root of 2x squared is 2x
ANSWER:
2x
.
What is the y intercept of the line represented by the equation
3x+2y = 6?
Answer:
3
Step-by-step explanation:
To identify the y-intercept represented by the given equation, we need to get the equation into slope-intercept from:
\(y=mx+b\)
\(m=slope\)
\(b=y-intercept\)
Start with:
\(3x+2y=6\)
Subtract \(3x\) from both sides of the equation:
\(2y=-3x+6\)
Divide both sides of the equation by the coefficient of \(y\), which is \(2\):
\(y=-1.5x+3\)
Identify the y-intercept:
\(b=3\)
Please help ASAP questions and answer selection in screenshot
The domain of the function consists of all real numbers greater than 0.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.
Next, we would determine the function which models the amount of gas as follows:
Function, f(x) = rate × x
Function, f(x) = 2.25 × x
Function, f(x) = 2.25x
Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:
Domain = [0, ∞]
In conclusion, the domain is equal to all real numbers that are greater than zero (0).
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10. A person walks 12.0 m east, then turns and goes 5.00 m west, then turns and goes back 2.00 m east.
a) What is the person's distance?
b) What is the person's displacement?
Step-by-step explanation:
Given that,
A person walks 12.0 m east, then turns and goes 5.00 m west, then turns and goes back 2.00 m east.
(a) Distance is equal to total path covered during the entire journey.
Distance = 12 + 5 +2
Distance = 19 m
(b) The shortest path covered is equal to the shortest path traveled. Let east is positive and west is negative. So,
Displacement = 12 +(-5) +2
Displacement = 9 m
is 5.243 greater, equal to ,or less than 5.4?
Answer:
5.243 is less than 5.4....
How do you simplify?
Will give brainliest for CORRECT answer
The person above is correct give them brainliest
Jeremy's coach makes him run clockwise around a circular track with radius of 50 meters. Jeremy manages to maintain a constant speed around the track. He takes 48 seconds to finish one lap of the track. From his starting point, it takes him 12 seconds to reach the northernmost point of the track. Answer the following questions below assuming that the center of the track at the origin and the northernmost point is on the y-axis.
a. Give Jeremy's coordinates at his starting point.
b. Give Jeremy's coordinates when he has been running for 4 seconds.
c. Give Jeremy's coordinates when he has been running for 32 seconds.
Answer:
Coordinates of the starting point ( -50 ; 0 )
Coordinates 4 seconds later Q ( - 25*√3 ; 25 )
Coordinates 32 seconds later R ( 25 ; - 25*√3 )
Step-by-step explanation:
a) If Jeremy takes 48 seconds fr a lap then
The length of the lap ( length of the circle ) is:
L = 2*π*r ⇒ L = 100*π
If the time for one lap was 48 seconds at a constant speed, the speed was
v = 100*π / 48 [m/s]
v = 6,54 m/s
12 seconds is 1/4 0f 48 in that time he (she) reach the northernmost point, then he(she) necessarily started on the negative side of the x-axis the coordinates at this point are
( -50 ; 0 )
b) 4 seconds later, at v = 6,54 m/s by rule of three
In 12 seconds 90⁰
In 4 seconds (the third part ) x ??
x = 30⁰
sin 30⁰ = 1/2
cos 30⁰ = (√3)/2
And coordinates for the point are
sin 30⁰ = 1/2 = y/50 ⇒ y = 25
cos 30⁰ = (√3)/2 = x / 50 ⇒ x = 25*√3
coordinates of the point 4 seconds later
Q ( - 25*√3 ; 25 ) she (he) is in the negative part of x-axis
c) 32 seconds later
32 is 12 + 12 + 8
Then she (he) is 8 seconds below the positive side of x-axis
8 is 2/3 of 12 ( negative 60⁰ )
sin 60⁰ = (√3)/2 = y/50 y = 25*√3 negative
cos 60⁰ = 1/2 * 50 = X/50 x = 25
Coordinates of the point R
R ( 25 ; - 25*√3 )
25 POINT QUESTION!! ALGEBRA 1 HW! I WILL GIVE BRAINLYEST
(please answer both question 8a and 8b)
Answer:
please answer both question 8a and 8b)
hay 1230 personas, entre hombres y mujeres. Si se sabe que el número de mujeres, supera en 150 al número de hombres. ¿Cuántos hombres están habitando la mini ciudad?
There are 540 men living in the mini city.
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
Therefore, there are 540 men living in the mini city.
To check our answer, we can substitute x = 540 into our original equation:
540 + (540 + 150) = 1230
690 = 1230
This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.
We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
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Find the distance represented by 4.9 inches if 1 inch = 50 miles.
A. 4.9 miles
B. 49 miles
C. 209 miles
Ο Ο Ο Ο
OD. 245 miles
E none of these
In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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find the arc JML of the circle
Answer:
JML = 176°
Step-by-step explanation:
JML = 2 angle JKL
= 2 × 88°
= 176°
HOPE THIS HELPS AND HAVE A NICE DAY <3
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Which circuit A or B, represents a series circuit?"
PLEASE HELP ILL MARK THE BRAINLY
Answer:
circuit A
explanation:
circuit B is a parallel circuit
If 45 cookies will serve 15 students, how many cookies are needed for
30 students? Examples 1 and 2)
Answer:
Step-by-step explanation:
which expression would be easier to simplify if you used the commutative property to change the order of the numbers
A. (-40) + (-30) + 28
B. -3/5 + (-2/5) - 4
C. 40 + (-58) + 160
D/ 130 + 70 + (-37)
Step-by-step explanation:
OPTION A
(-40) + (-30) + 28
An aquarium holds 11.35 cubic feet of water, and is 2.6 feet long and 1.1 feet wide. What is its depth? Round your answer to the nearest whole number.
The depth is
feet.
The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).
To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,
which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).
Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.
Substituting these values into the formula for volume,
we get:11.35 = 2.6 × 1.1 × h
Simplifying this expression:
11.35 = 2.86h
Dividing both sides by 2.6 × 1.1,
we get:h ≈ 3.64 feet (rounded to two decimal places)
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HELP PLEASE!!
Create and solve your own one step equation that requires either multiplying or dividing to solve
Answer:
15x12
Step-by-step explanation:
no example heeeeewweee
Answer:
Jack worked at a phone shop. He sold 7 phones each day for 12 days. How many phones did he sell in total?
12x7=84
pls mark brainliest
By what percent will a fraction increase if its numerator is INCREASED by 60% and its denominator is decreased by 20%?
Please Help will give Brainliest!!!!!!
Answer:
100%
Step-by-step explanation:
let , a/b is a fraction
=> a+60% = 1.6 a
and b-20% = 0.8b
so, the new fraction is
(1.6a) /(0.8b) = 2(a/b)
from a/b to 2(a/b) => increase 100%
88 students in 4 classes how many students per class
Answer:
22 students per class
Step-by-step explanation:
hope this helps :)
In ΔFGH, h = 840 inches, � m∠F=93° and � m∠G=49°. Find the length of g, to the nearest 10th of an inch.
a tank is filled with petrol at 35 litres per minute. the tank already had 10 liters in it before the filling began. write an equation in standard form for this situation.
The equation for a tank that is filled with petrol at 10 liters already and filling at 35 liters per minute is y = 35x + 10
How to write expression for a filling a tankThe equation required here is a linear equation
The graph of linear equation is a straight line graph and the relationship is expressed in the form.
y = mx + c
variables are defined as below
y = total petrol in liters
m = filling in liters per minute = 35
x = number of liters
c = quantity before the filling began = 10
The expression is
y = 35x + 10
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Please help me this
And show your working out
Thanks I will appreciate it
Answer:
3x / 2 + 9 = 5
3x / 2 = -4
3x = -8
x = -8/3
(2 + v) / 3 = 9
2 + v = 27
v = 25
32 / (d - 2) = 10
32 = 10 * (d - 2)
3.2 = d - 2
d = 5.2
2p - 4 = 3p / 2
2 * (2p - 4) = 3p
4p - 8 = 3p
p - 8 = 0
p = 8
3b / 2 = 12
3b = 24
b = 8
which graphs represents a proportional relationship between x and y?
James took a math quiz in which he earned 1 point for every correct answer and lost 0.5
point for every incorrect answer. James answered 12 out of 18 questions correctly. What
was James quiz score?
A. 6
B.9
C 15
D. 18
Answer:
is the b
Step-by-step explanation:
i did the correct operation oki?
Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis?
A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).
What is a reflection over the y-axis?In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).
This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:
(x, y) → (-x, y).
\(f(x) = \frac{3}{8} (4)^x\) → \(g(x) = \frac{3}{8} (4)^{-x}\)
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The ratio of pages read to minutes for Hang is 5:8. Select all the people who have a greater ratio of pages to read to minutes than Hang.
A.Kira: 2 pages read every 4 minutes
B. Joe: 6 pages read every 9 minutes
C. Quon: 5 pages read every 7 minutes
D. Lulu: 10 pages read every 13 minutes
E.Lulu: 10 pages read every 13 minutes
Answer:
d or e lulu
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
I have 5 1/3 cups of water. I need 2/3 cups to make paint
Answer:
5 1/3 = 15/3 + 1/3 = 16/3 cups of water
Divide it by 2/3 cup
Number of color = ( 16/3) / (2/3) = 8 paint colors
You can make 8 different paint colors
Step-by-step explanation: