5 AB is the diameter of a circle whose center is the point (4,-3). If the coordinates of A are (-1,5), Find AB>
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.
Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
7x+3 = 8x +1
x=2
the answer is 2
Round each decimal to the nearest tenth
4. 13.392
5. 27.149
6.8.84858
Help!!
Answer:
13.4
27.1
8.8
Step-by-step explanation:
hope that helps
What is the value of x in the equation 2.5(5x-5)=10+4(1.5+0.5x)
Answer:
x= 19/7
Step-by-step explanation:
I need some help please
Answer:
a
Step-by-step explanation:
-5,-13
I hope this helps
1. What is the value of x in this equation? 5x – 2(2x - 1) = 6 *
A.3
B.4
C.7
D.8
Answer:
Answer B. 4
Step-by-step explanation:
Equations
Solve the equation:
5x - 2( 2x - 1 ) = 6
Operate the parentheses:
5x - 4x + 2 = 6
Collect like terms:
x + 2 = 6
Subtract 2:
x = 6 - 2
x = 4
The value of x is 4
Answer B. 4
DO NOT GIVE ME THE ANSWER! Please just tell me how I can find the answer!
Answer:
9x$1.92
Step-by-step explanation:
. One of the roots of the equation x2−bx+c=0 is equal to 5. Find c in terms of b.
Answer:
c=5b-25
Step-by-step explanation:
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats? I need help ASAP ...
Answer:
5 = 25
3 = 15
Step-by-step explanation:
25/5 = 5
So, 5 x 5 = 25
3 x c =
Then, 3 x 5 = 15
5 = 25
3 = 15
Simplify the expression using the distributive property.
–4(–3x + 11)
1. Distribute the –4 through the parentheses: -4(–3x) + (-4)(11)
2. Find each product: _____x -44
Answer:
Find each product: 12x × -44
I hope this helps!
Answer:
0) 12x-44
1) 12x-44
2) 12
Step-by-step explanation:
Hope it help, please give me brainlest! :)
Synthetic Division
(6n^3 - 57n^2 + 69n - 14) ÷ (n - 1/2)
Answer:
[tex]Lets\ consider\ the\ divisor\ (n-\frac{1}{2})\ as\ g(x) \\In\ order\ to\ perform\ synthetic\ division\ we\ need\ to\ find\ the\ zero\ of\ the\ divisor\ . \\Hence,\\g(x)=0\\n-\frac{1}{2}=0\\n= \frac{1}{2}\\[/tex]
[tex]Now\ we\ must\ write\ the\ dividend\ in\ its\ standard\ form\ and\ seperate\ out\ its\ coeffeicient.[/tex][tex]So,\\\\The\ Coefficients\ will\ be\ in\ this\ order\ : 6,-57,+19,-14[/tex]
[tex]\frac{1}{2}[/tex] | 6 -57 19 -14
+ | 3 -27 -4
Q = [6 -54 -8] |-18 =R
[tex]Hence,\\The\ acquired\ quotient\ is\ 6n^2-54n-8[/tex]
Hence,
As the divisor is rational,
The quotient would be multiplied by the zero(1/2).
[tex]Hence,\\the\ final\ quotient\ = 3n^2-27n-4[/tex]
[tex]Remainder =-9[/tex]
y + 2x = −1
3y − x = 4
Answer:
Step-by-step explanation:
Let's solve for x.
y+2x=−1
Step 1: Add -y to both sides.
2x+y+−y=−1+−y
2x=−y−1
Step 2: Divide both sides by 2.
2x
2
=
−y−1
2
x=
−1
2
y+
−1
2
Answer:
x=
−1
2
y+
−1
2
Answer:
Answers below
Step-by-step explanation:
Q1. 2x=−1−y
=
2
−1−y
Q2. −x=4−3y
x=−4+3y
x=3y−4
Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represent the amount of money in Alaina’s account?
–73
–27
–23
–17
Answer:-17
Step-by-step explanation:
45-28=17
Please solve for y P=2x+2y+4
Answer:
Step-by-step explanation:
P=2x+2y+4
y=p/2-x-2
The equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Solve for y P=2x+2y+4
From the data given in the question:
The linear equation is:
P=2x+2y+4
To solve for make the subject as y:
2y = P - 2x - 4
y = (1/2)[P - 2x - 4]
Or
y = P/2 - x - 2
Thus, the equation can represent as y = P/2 - x - 2 after solving for y if the equation is P = 2x + 2y + 4.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
can you help pls jhgyihjopk[[knbh
Answer:
The lower right table
Step-by-step explanation:
The table of that's the right answer consists of f(x) and x points that when plugged into the equation make the equation equal.
Let's go through each of the tables to check.
Upper Left Table:
(Remember that f(x) and y are interchangeable)
- Let's plug in the first paired set (0,6) into the equation
[tex]y = -2x + 6 \\6 = -2(0) + 6\\6 = 6[/tex]
So, this one seems right so far. It also let's us eliminate some answers!
The upper right and lower left tables can't be right because in order for the equation to be equal, f(x) has to be 6 when x equals 0
Let's plug more paired sets into the equation from the upper left table
[tex]y = -2x + 6\\10 = -2(2) + 6 \\10 = -4 + 6 \\10 = 2[/tex]
This doesn't work so let's check to see if the lower right table is correct!
[tex]y = -2x + 6 \\2 = -2(2) + 6\\2 = -4 + 6\\2 = 2[/tex]
Since the equation is equal, this has to be the right answer!
Hope this helps!!
- Kay
What is the slope of the line?
Answer:
-3/4
Step-by-step explanation:
i need help plzzzzzz
thanks
Answer:
Step-by-step explanation:
5/6b+5-2/3b-2
1/6B+ 3
write 9/20 as a decimal
Answer:
0.45
Step-by-step explanation:
Divide 9 by 20.
Reflections of the coordinate plane homework 3
Answer:
can we have more info please?
Step-by-step explanation:
The equation y = 1.2x represents the rate, in beats per second, that Lee's heart beats. The graph represents the rate that Nancy's hear beats. Determine whose heart is beating at a faster rate.
Which statement is true about the lengths of the sides?
Each side has a different length,
Two sides have the same length, which is less than
the length of the third side.
The three sides have the same length.
The sum of the lengths of two sides is equal to the
length of the third side.
Answer:
The three sides have the same length.
Step-by-step explanation:
Answer:
B. Two sides have the same length, which is less than the length of the third side.
Step-by-step explanation:
I think, :-P
The ratio of the perimeter of two similar polygons is 5:7. The area of the smaller polygon is 30 sq. cm. Find the area of the larger polygon.
Answer:
42sq
Step-by-step explanation:
5:7
30 sq: x sq
30/5=6 sq for 1 of the ratio
6*7=42 sq for 7 of the ratio
The perimeter of the patio is 32 metres. The garden itself is a square shape.
What is the total area of the garden and the patio?
Answer:
64
Explanation:
If the garden is a square shape then all sides are equal.
One and all sides are 8 meters.
8 times 8 is 64
A group of 105 visitors goes on the snow vehicle tour. Each vehicle can carry 9 visitors. How many snow vehicles will be needed for all the visitors?
Answer:
12 because you have to divide 105 by 9 2inch is 11.6666666... so you round up and get 12
A student is learning about positive and negative numbers with manipulatives. Each black cube represents + 1 , and each white cube represents − 1 . If there are currently 15 black cubes on the student's desk, how many white cubes must the student add to the desk for the combined value of the cubes to represent 0 ?
Answer:
15 white cubes
Step-by-step explanation:
Given
[tex]White\ Cubes = -1[/tex]
[tex]Black\ Cubes = +1[/tex]
[tex]Number\ of\ Black\ Cubes = 15[/tex]
Required
Determine the number of white cubes needed to represent 0
To solve this question, we make use of the following equation.
[tex]Black\ Cubes +White\ Cubes = 0[/tex]
If there are 15 black cubes, the the 15 black cubes is worth: +1 * 15
Substitute +1 * 15 for the Black Cubes
[tex]+1 * 15 +White\ Cubes =0[/tex]
[tex]+15 +White\ Cubes =0[/tex]
Collect Like Terms
[tex]White\ Cubes = 0 - 15[/tex]
[tex]White\ Cubes = - 15[/tex]
Recall that 1 white cube is worth -1
So, the number of white cubes is:
[tex]Number = \frac{-15}{-1}[/tex]
[tex]Number = 15[/tex]
Hence, the student needs 15 white cubes
does anybody even understand algebra?
Answer:
I do not understand thank you for asking
Step-by-step explanation:
thank you
Answer:
B (2,22)
Step-by-step explanation:
3y + 2 = -6x
in slope-intercept form : y=mx+b
oh and please show work! Thank youuu
Answer:
y= -2x- [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
3y+2=-6x
3y=-6x-2
y= [tex]\frac{-6}{3}[/tex]x - [tex]\frac{2}{3}[/tex]
y= -2x - [tex]\frac{2}{3}[/tex]
You isolate for y in this example by moving the 2 to the other side and then dividing the -6x and -2 by 3 to get the y by itself.
Jon owns a hamburger stand. He creates a function for the number of dollars in his register (d) in relation to the number of hamburgers (h) he sells. d=3h+8 How much does he charge for a hamburger? 1 dollar 1 dollar 2 dollars 2 dollars 3 dollars 3 dollars 8 dollars
Answer:
The amount charged for a hamburger is $11
Step-by-step explanation:
The function relating the amount d charged with the number of hamburgers is;
d = 3h + 8
The amount charged for a hamburger can be calculated by substituting the value 1 for h
Thus, we have;
d = 3(1) + 8 = $11
pleaseeee helpppp :(((((
Answer: With what??? I don't see nun
Answer:
I do not see any files or papers attached.
Step-by-step explanation:
Find the slope!! Pls help
Answer:
1/3
Step-by-step explanation:
The slope goes up one over three. if u need a whole equation then it would be y=1/3x
if you need a slope intercept equation then it would be y=1/3x-4.
Answer: -5,3
Step-by-step explanation: the bottom boxes on the left are negative so i counted until the dot was and thats how i got my negative five. For the three I did the same thing just the right side inst negative so that is how i got 3.