In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B are (-6,3) and (2,-3) respectively ,calculate
a)the coordinates of P
b)radius of the circle
c)the coordinates of C
d)the area of the circle in term of
[tex]\pi[/tex]
Answer:
The coordinates of P are (-2,0)
The radius of the circle is 5.
Step-by-step explanation:
Analytic geometry
The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.
a)
The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:
[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]
Substituting x1=-6, x2=2, y1=3, y2=-3:
[tex]\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2[/tex]
[tex]\displaystyle y_m=\frac{3-3}{2}=0[/tex]
Thus, the coordinates of P are (-2,0)
b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.
Given two points A(x1,y1) and P(x2,y2), the distance between them is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting x1=-6, x2=-2, y1=3, y2=0:
[tex]r=\sqrt{(-2+6)^2+(0-3)^2}[/tex]
[tex]r=\sqrt{4^2+(-3)^2}[/tex]
[tex]r=\sqrt{16+9}=\sqrt{25}=5[/tex]
The radius of the circle is 5.
(6x10)+(8x1)+(5x.1)+(0x.01)+(1x.001)+(9x.0001)
Answer:
(6x10)+(8x1)+(5x.1)+(0x.01)+(1x.001)+(9x.0001)
=68.5019
5r-8.53 whenr =12 and s =4
Answer:
where is s. it's not in the equation you sent
What equation in slope intercept form represents the line that passes through the two point? (6.9,5.9), (10.9,-2.1)
Answer:
y = 2x + b
I dont know what b is but the slope is 2 I think
HI GUYS, PLEASE HELP ME FOR THE ALGEBRAIC EXPRESSOIN 6x=yx2+5
Step-by-step explanation:
6x=2x+5
6x-2x=5
4x=5
4x/4=5/4
X=1.25
Evaluate. y2 + 2y + 5 for y = -5
Answer:
20
Step-by-step explanation:
Evaluate for y= −5
(−5)2+(2)(−5)+5
(−5)2+(2)(−5)+5
=20
Triangle ABC has vertices A(-3, -5), B(0, 4), and C(2, 5).
Which statement about triangle ABC is true?
A. Since two of the sides have slopes that are negative reciprocals, it is a right triangle.
B. Since two of the sides are congruent, it is a right triangle.
C. Since none of the sides have slopes that are negative reciprocals, it is not a right triangle.
D. Since none of the sides are congruent, it is not a right triangle.
Answer:
D. Since none of the sides are congruent, it is not a right triangle.
Step-by-step explanation:
This is the weirdest triangle I've ever seen.
Since none of the sides have slopes that are negative reciprocals, it is not a right triangle. Therefore, option C is the correct answer.
The given triangle ABC has vertices A(-3, -5), B(0, 4) and C(2, 5).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
Here, slope of AB is
m= (4+5)/(0+3)
= 3
Slope of BC is
m= (5-4)/(2-0)
= 1/2
= 0.5
Slope of CA is
m= (5+3)/(2+3)
= 8/5
= 1.6
Since none of the sides have slopes that are negative reciprocals, it is not a right triangle. Therefore, option C is the correct answer.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ2
Select the equation which represents the graph.
Question 2 options:
A: y + 3 =− 4/5(x − 2)
B: y + 3 =− 5/4(x − 2)
C: y + 1 =− 4/5(x − 3)
D: y + 1 =− 5/4(x − 3)
Alexander was given a gift card for a coffee shop. Each morning, alexander uses the card to buy one cup of coffee. Each cup of coffee costs $1.50 and after buying 4 cups of coffee , the card had a $9 remaining balance. Write an equation for A in terms of x
Answer:
A = (cost per cup of coffee * number of cups) + balance
$15
Step-by-step explanation:
Given that :
Cost per cup of coffee = $1.50
Number of cups purchased = 4
Balance on card = $9
Let A = worth of gift card
A = (cost per cup of coffee * number of cups) + balance
A = (1.50 * 4) + 9
A = 6 + 9
A = $15
My problem is #2 but I am confused on how to draw it.
An isosceles triangle is a triangle with 2 equal sides and 1 un equal side. So just draw a triangle with those measurements.
When you solve an equation and you end with a TRUE STATEMENT, the solution set will be:
Answer:
false
Step-by-step explanation:
Answer:
equal
Step-by-step explanation:
3(x+2)=3x+6
3x+6=3x+6
-3x -3x
6=6
if a load of bread cost 25 cents two years ago, how much does it cost now?
Answer:.80
p-by-step explanation:
HELP PLEASEEE...Naming Your Solution When you are asked to name your solution if you have one... that means. When you have ONE solution, what's the ordered pair where your lines cross?
Answer:
It means that you need to state whether there are any solutions and how many there are. For example if the equation ends up with an answer like 2=5 there is no solution because 2 does not equal 5. if the equation ends up with an answer of 0=0 there is infinitely many solutions because 0 does equal 0. if it comes out as x=9 there is one solution because x only has one answer to (keep in mind these are just examples)
Step-by-step explanation:
The order pair would be where the two lines intersect perpendicularly with each other forming a 90° angle
What are the rules to multiplying and dividing integers. Explain using the example -9 × 3
i know how to do the problem but the question..
Kyle's fencing team is selling calendars to raise money. They earn $0.40 On each calendar they sell. Their goal is to earn more than $327. Write and solve an inequality to find the least number of calendars they can sell and still reach their goal.
Answer:
818
Step-by-step explanation:
Amount earned per calendar = $0.40
Target amount = > $327
Least number of calendars they can sell ;
(Number of calendars * amount earned per calendar) > 327
Let number of calendars = x
0.40x > 327
x > 327/0.40
x > 817.5
Least Number of calendars they can sell is 818
F(x)=(x+1)(x-3)(x-4)
Determine the number of x-intercepts that appear on a graph of each function
Answer:
here
Step-by-step explanation:
I also send the graph
if you want to expand i can write that too
Answer:
3
Step-by-step explanation:
just did it
A line is parallel to the line y = 4x - 6 and passes through the point (-3, 7). What is the equation of the line?
O y = 4x - 5
O y = 4x - 3
O y = 4x + 7
O y = 4x + 19
Answer:
y = 4x + 19
Step-by-step explanation:
If you plug the points in, you would get 4x + 19.
6(1/4b+10) +4(9/10b+3)
Answer:
75.2
Step-by-step explanation:
6(1/4b+10) + 4(9/10b+3)
6/4b + 60 + 36/10b + 12
3/2b + 60 + 12/5b + 12
3/2b + 12/5b + 60 + 12
5b × 3 + 2b × 12/ 5b × 2b + 72
15b + 24b/10b + 72
39b/10b + 72
3.2 + 72 = 75.2
Someone pls add me as their friend quick
Pls Pls Pls
All my points
Answer:
Ok ig
Step-by-step explanation:
Answer:
Ok ill add u as a friend
Step-by-step explanation:
but why?
A figure has the following vertices: A(0,5), B(8,3), C(6,0). What are the vertices of the
figure after a reflection across the y-axis?
Answer:
(0, 5), (-8, 3), (-6, 0)
Step-by-step explanation:
(0, 5) reflected across the y-axis = (0, 5)
(8, 3) reflected across the y-axis = (-8, 3)
(6, 0) reflected across the y-axis = (-6, 0)
Since the reflection is across the y-axis, we have to switch all of the x-values signs from positive to negative to get them from the top right side of the graph (positive side) to the top left side of the graph (negative side).
The only exception in this case is with the x-value 0 because 0 can never be negative or positive and remains in the middle of the graph.
Maria made some purchses at the Sunflower Market. She bought strawberries for $3.50, carrots for $2.25 and a bouquet of flowers for $9.95. If Maria uses a 20% coupon and has to pay 5.5% tax, how much will she pay in total? (Round your answer to the nearest hundredth)
Answer:
$13.25
Step-by-step explanation:
First you add everything up to get you to $15.70, then the 20% is changed to .2 which you then multiply 15.70 by .2 giving you 3.14. You then take 15.70 minus 3.14 which then gets you to 12.56. Then you take the tax of 5.5% and times $12.56 by it, giving you 69 cents, as your tax. Add those together to get 13.25, and then your finished.
Answer:
$13.25
Step-by-step explanation:
First let's add together the cost of all the items Maria bought:
3.50 + 2.25 + 9.95 = 15.70
The total cost of all the items without a coupon or tax is $15.70.
If Maria uses a 20% coupon, the value of the total cost will be 80% of its original value. So, multiply 15.7 by 0.8 to find the cost after the coupon:
15.7 * 0.8 = 12.56
The new total cost is 12.56. Now we need to find the sales tax. Multiply 12.56 by 0.055 to find the value of the sales tax:
12.56 * 0.055 = 0.6908
0.6908 rounds to 0.69. Add the cost of the sales tax to the total cost to get the final answer:
12.56 + 0.69 = 13.25
The total cost Maria will pay is $13.25
Hope this helps :)
Which table contains only corresponding x - values and y - values where the value of y is 3 more than the quotient of x and 2?
Answer:
Step-by-step explanation:
Think its g
From the solution, we can see that the table that tally is the table G.
If the value of y is 3 more than the quotient of x and 2, the required function is expressed mathematically as;
[tex]y=\frac{x}{2} + 3[/tex]
To get the corresponding value that satisfies the equation, we will substitute the values of "x" to get the corresponding value of y
If x = 7
[tex]y=\frac{7}{2} + 3\\y=3.5 + 3\\y=6.5\\[/tex]
Checking one more value of x;
If x = 10
[tex]y=\frac{10}{2} + 3\\y=5 + 3\\y=8\\[/tex]
From the solution above, we can see that the table that tally is the table G.
Learn more here: https://brainly.com/question/16097244
Maths question.
Solve
4(x - 1) = 2(6 - 2x)
Answer:
x = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
4(x - 1) = 2(6 - 2x)
Step 2: Solve for x
Distribute: 4x - 4 = 12 - 4xAdd 4x on both sides: 8x - 4 = 12Add 4 to both sides: 8x = 16Divide 8 on both sides: x = 2Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4(2 - 1) = 2(6 - 2(2))Multiply: 4(2 - 1) = 2(6 - 4)Subtract: 4(1) = 2(2)Multiply: 4 = 4Here we see that 4 does indeed equal 4.
∴ x = 2 is a solution of the equation.
(4x^2-9)/(2x^2-9x+9) / (2x+3)/(4x^2-12x)
Answer:
I attached images that should help
Answer:
2x-3
______
8x³•(x-3)
Step-by-step explanation:
LET ME EXPLAIN, THAT HOW I GET THE ANSWER
STEP 1
((4•(x2))-9)
———————————————— ÷ (2x+3) ÷ (22x2-12x)
(((2•(x2))-9)+9)
STEP 2
((4•(x2))-9)
———————————— ÷ (2x+3) ÷ (4x2-12x)
((2x2-9)+9)
STEP 3
(22x2 - 9)
—————————— ÷ (2x + 3) ÷ (4x2 - 12x)
2x2
STEP 4
4x2 - 9
Simplify ———————
2x2
MY EXPLANATION THAT HOW TO GET THE SQUARE:
Trying to factor as a Difference of Squares:
4.1 Factoring: 4x2 - 9
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : 9 is the square of 3
Check : x2 is the square of x1
Factorization is : (2x + 3) • (2x - 3)
4.2 Attempting Polynomial Long Division
Attempted Long division of
2x + 3
By :
2x2
Was aborted due to the followinf reason :
Divisor bigger than Dividend
THIS IS THE CONTINUATION OF MY ANSWER:
Equation at the end of step 4
(2x + 3) • (2x - 3)
——————————————————— ÷ (2x + 3) ÷ (4x2 - 12x)
2x2
STEP 5
(2x+3)•(2x-3)
Divide ————————————— by 2x+3
2x2
Canceling Out :
5.1 Cancel out (2x + 3) which appears on both sides of the fraction line.
Equation at the end of step 5
(2x - 3)
———————— ÷ (4x2 - 12x)
2x2
STEP 6
2x-3
Divide ———— by 4x2-12x
2x2
STEP 7
Pulling out like terms
7.1 Pull out like factors :
4x2 - 12x = 4x • (x - 3)
Multiplying exponential expressions :
7.2 x2 multiplied by x1 = x(2 + 1) = x3
This is the final ans:
2x - 3
—————————————
8x3 • (x - 3)
pls answer I give brainliest
Answer:
16.67
166.7
1667
16670
Step-by-step explanation:
Any number to the zeroth power is 1, so the first one is 1 x 16.67, which equals to 16.67
10 to the first power is just 10, so multiply 10 x 16.67 for the second one. This equals 166.7
10 to the second power is 10 x 10 or 100, so multiply 100 x 16.67, which is 1667.
10 to the third power is 10 x 10 x 10 or 1000, so multiply 1000 x 16.67, which is 16670.
Basically, for each one, starting with 10 to the first power, move the decimal to the right one place.
HALP, HELP, YELP, HELP MEH PLZ, PLZ, PLZ, PLZ, PLZ, PLZ, PLZ I WILL GIVE BRAINLIST PLZ AND NO DOO-DOO ANSWERS PLZ
Options-
(1.5,9)
(2.5,14)
(1.25,5)
(2.25,12
Answer:
1,5,9
Step-by-step explanation:
Answer:
(1.5,9)
Step-by-step explanation:
pls give this brainliest
what is the solution set of the above question ?
Answer:
The solution set is { } or ∅ ⇒ empty set
Step-by-step explanation:
∵ 2x + 10 < 10
→ Subtract 10 from the two sides of the inequality
∵ 2x + 10 - 10 < 10 - 10
∴ 2x < 0
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]
∴ x < 0
∴ The solutions are all the negative numbers
∵ x ∈ N
∵ N is the set of Natural numbers
→ The natural numbers start at 1 and include all positive whole numbers
∴ N = {1, 2, 3, 4, 5, ..............}
∵ N does not contain any negative numbers
∴ The solution set is an empty set ⇒ ∅
∴ The solution set is { } or ∅
What table is proportional
Answer:
C
Step-by-step explanation:
x is 2 times as y is the pattern
At an electronics store, a smart phone is on sale for 35% off the original price of $679. If you use the store credit card, you can receive an additional 15% off the sale price. What is the final price of the smart phone if you use the store credit car
Answer:
The final price of the smart phone if you use the store credit card is $339.5
Step-by-step explanation:
Given;
original price of the smart phone = $679
initial discount = 35%
additional discount if you use the store credit card = 15%
total discount of the smart phone if you use the store credit card
= 35% + 15% = 50%
The final price of the smart phone, if you use the store credit card is given as;
P = 0.5 X $679
P = $339.5
Therefore, the final price of the smart phone if you use the store credit card is $339.5
what is the measure of <ABD