Given:
AB is the diameter of a circle whose center is the point (4,-3).
Coordinates of A are (-1,5).
To find:
The measure of AB.
Solution:
Let point O(4,-3) be the center of the circle.
Then, OA is the radius of the circle.
We know that, diameter of a circle is twice of its radius.
So, [tex]AB=2(OA)[/tex] ...(i)
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between O and A is
[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]
[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]
[tex]OA=\sqrt{25+(8)^2}[/tex]
[tex]OA=\sqrt{25+64}[/tex]
[tex]OA=\sqrt{89}[/tex]
Now, using (i), we get
[tex]AB=2(OA)[/tex]
[tex]AB=2(\sqrt{89})[/tex]
[tex]AB=2\sqrt{89}[/tex]
Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.
What is the equation of the line ?
The local high school is selling candy bars and soda at a fundraiser. The candy bars sells for eighty-four cents and each soda costs $1.35. After the fundraiser was over , the students made $63.84 from the candy bars and $70. 20 from the soda
1. How many candy bars did they sell?
2. How many sodas did they sell?
3. What was the total amount of money made by the high school?
Answer:
1 84 cents i hope this helped
Translate the following sentence into a mathematical equation. The sum of 10 and five times a number is the same as the difference of the number and 6
Answer:
The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]
Step-by-step explanation:
The given statement can be converted into a mathematical equation step by step.
First of all, we have to suppose a variable for the number as we don't know the exact number.
So,
Let x be the number then
five times a number => 5x
The sum of 10 and five times a number => 5x+10
the difference of the number and 6 => x-6
Putting in equation form we get
[tex]5x+10 = x-6[/tex]
Hence,
The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]
This morning, Mai's car had 15.25 gallons of fuel. Now, 1.9 gallons are left. How much fuel did Mai use?
Answer:
13.35
Step-by-step explanation:
Just subtract. 15.25-1.9 gives you the difference.
Mai used 13.35 gallons of fuel.
Unitary method is a process by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit.
To calculate the fuel Mai used, we can subtract the remaining fuel from the initial amount of fuel.
This can be done as follows:
Initial amount of fuel = 15.25 gallons
Remaining amount of fuel = 1.9 gallons
Fuel used = Initial amount of fuel - Remaining amount of fuel
Therefore, Fuel used = 15.25 - 1.9
Fuel used = 13.35
Therefore, We can conclude that Mai used 13.35 gallons of fuel.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
Please please please help John wants to buy a new video game it cost $39.00. He has $14.00 in his piggy
bank. He works for farmer Jones down the street for $5.00 an hour. How many
hours will he need to work before he can buy his new video game? Make and equation
Answer:
5 hours
Step-by-step explanation:
39 - 14 = 25
5 x 5 = 25
14 + 25 = 39
Answer:
5 hours
Step-by-step explanation:
John needs $39.00, he has $14 now, and He earns $5 a week working. x= how many hours.
Start by setting the equation,
$39.00= $5x + $14.00
Then solve by
1) subtracting 14 from both sides;
39(-14)= 5x+14(-14), by subtracting 14 on both sides you cancelled out the 14;
39 -14 = 5x becomes $25= 5x (39 -14 =25)
2) divide both sides by 5 to get x alone
25 (/5)=5x (/5) which becomes 25/5=x
3) 25/5 is 5
John must work 5 hours to have enough money to buy his video game.
State the class width for the class interval 20-29?
Answer:
9
Step-by-step explanation:
Class width = 29 - 20 = 9
if g(x)=x²-2 and p(x)=2x+3, find (g·p)(x)
what is 2m×2 to the 7 power
Answer:
256m
Step-by-step explanation:
not 100% sure but i hope this helps :)
i will give u brainliest
Answer:
0.8
Step-by-step explanation:
Divide the numerator and denominator together to find the answer.
19 / 24 = 0.79166...
Round to the nearest tenth.
0.79166... → 0.8
Best of Luck!
Answer:
0.8
Step-by-step explanation:
numerator ÷ denominator = 0.791..
19 / 24 = 0.791..
0.791 to the tenth is 0.8
Hope this helps :)
Calculate the perimeter for the given figure.
8 ft
8.5 14
.ft
10 11
A. 16.5 feet
B. 25.5 feet
C: 26,5 feet
D. 26.5 feet
Answer:
the answer is C and D because perimeter is the sum of all sides of a figure
What is the nature of the solution set to the following system of equations?
5x - y = 2
2x-0.5y=3
Answer:
u can use substitute or eliminate
Solve 4q = 52
Q=
Which statement shows the correct justification for the step used to solve the equation
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]4q = 52[/tex]
Divide sides by 4
[tex] \frac{4q}{4} = \frac{52}{4} \\ [/tex]
Simplification
[tex]q = 13[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Need this answer ASAP cuz im dumb.
Mr. Scott likes to pose interesting problems to his Mathematics classes. Today,
he started with the expression 6
2020 + 72020. He stated that the expression was
not equivalent to 132020 and that he was not interested in the actual sum. His
question to his class and to you is, “What are the final two digits of the sum?”
Answer:
40. This is so easy yet so dumb. Why is this even a question?
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch equals 3 ft. What is the area, in the square feet, of the room?
Answer: 432 ft^2
Step-by-step explanation:
If 1"=3', and the box is 8"x6", then we can simply multiply the 8 and 6 by three. You would get 24 by 18.
Follow this up by the equation a=w*l to get
a=24*18 = 432 ft^2.
A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.
Answer:
The original price of her purchase was $65.
Step-by-step explanation:
From the information given, you know that $13 represents 20% of the original price and you can use a rule of three to find the value that represents 100%, which would be the original pice of her purchase:
$13 → 20%
x ← 100%
x=(13*100)/20
x=1300/20
x=65
According to this, the answer is that the original price of her purchase was $65.
what is 8.756×8.8 ?
Answer:
77.0528
Step-by-step explanation:
hope this helps
Answer:
77.0528
but if needs to be simplified to the tenth it would be 77.1
Step-by-step explanation:
just multiply both numbers together and you'll get the answer.
13X + 8 = 50 , what is 12x + 8
Answer:
4(3x + 2)
Step-by-step explanation:
Rewrite 8 as 4 x 2
Rewrite 12 as 4 x 3
= 4 x 3x + 4 x 2
= 12x + 8
Answer please
please please please
Answer:
3.25
Step-by-step explanation
Answer: 3.25
Step-by-step explanation:
Which hourly interval had the least rate of change?
Answer:
hour 3 to hour 4
Step-by-step explanation:
that is where the slope is the least steep
The table represents a linear function. WhT is the slope of the function?
Answer
The slope of the function is 5.
Step-by-step explanation:
i need help please.
Answer:
Vertex point = (3, -2)
Step-by-step explanation:
Find the equation of the line that is perpendicualr to the line y=1/5x-4 and that contains the point (1,1).
‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK + STEPS!! Thx!
Answer:
Option A
Step-by-step explanation:
to be perpendicular, the product of two slopes should be -1
the slope of the first equation is 1/5, so the slope should be -5
(1/5) (-5)= -1
y= -5x +b
Substitute (1,1) to solve for b,
b= 6
Thus, the equation is y= -5x +6
Divide. Simplify so the quotient is in lowest terms.
1: 1/2 divided by 4
2: 1 3/4 divided by 1/8
please help me lol
1. 1/2 divided by 4 = 1/8 or 8.
2. 1 3/4 divided by 1/8 = 7/32.
can you please help meee ,due at 11!
25 pts! Dont copy someone elses work plz
Explain why the equation (x-4)^2-28=8 has two solutions. Then solve the equation to find the solutions. Show your work
Answer:
x = −2 or x = 10
Step-by-step explanation:
for the explanation see the image
Kenzie is putting the family vacation videos onto a flash drive. The flash drive can hold 200 minutes of video. Kenzie has used 45% of the memory space already. How many minutes of the flash drive has she already used?
Answer:
90 minutes
Step-by-step explanation:
In order to calculate a percentage of the minutes of video we simply need to divide the percentage by 100 and then multiply that value by the total number of minutes that the flash drive can hold. Since we are given this total number of minutes then we can simply plug it in and solve for x which represents the percentage of memory used in minutes.
x = 200 * (45 / 100)
x = 200 * 0.45
x = 90 minutes
Therefore, Kenzie has already used 90 minutes of video on the flash drive.
Expand.
Your answer should be a polynomial in standard form.
(-1 + 2p)(3 – 4p) =
Answer:
-1+2p)(3-4p)=
Step-by-step explanation:
is the best one
The correct answer is :-3+10p-8p^2
can i be marked brainlest plz
A store buys shoes for $40, then sells them to customers for $160. What is the percent mark-up for the price of the shoes?
Answer:
its 120 your supposed to divide 120 ÷ 100% and ur answer will be 120
Can someone help me with the questions in the picture?
Answer:
7)equilateral
8 and 9)scalene
10,11 and 12) isosceles
Step-by-step explanation:
Equilateral triangle has three equal angles and sides
scalene triangle has unequal angles and sides
isosceles has two equal angles and sides
What is the slope of x=3y+9 and why?