Answer:
( x + 5 )² + ( y - 3 )² = 52
Step-by-step explanation:
Let find the equation of the line going through A( - 11, 7 ) and B( - 9, - 3 )
m = [tex]\frac{-3-7}{-9+11}[/tex] = - 5
y - 7 = - 5( x + 11 )
y = - 5x - 48
Now, let find the equation of the line passing through midpoint of the segment AB
Coordinates of that midpoint is ( [tex]\frac{-11-9}{2}[/tex] , [tex]\frac{7-3}{2}[/tex] ) = ( - 10 , 2 )
Slope of the perpendicular line is [tex]\frac{1}{5}[/tex] ( opposite reciprocal of ( - 5 )
y - 2 = [tex]\frac{1}{5}[/tex] ( x + 10 )
y = [tex]\frac{1}{5}[/tex] x + 4 ........... (1)
Coordinates of an intersection of two lines (1) and x = - 5 are coordinates of the center of the circle
y = [tex]\frac{1}{5}[/tex] ( - 5 ) + 4 = 3 ⇒ y = 3
O( - 5 , 3 ) is the center
The last!! RADIUS which is OA or OB
r = [tex]\sqrt{(-5+11)^2 +(3-7)^2}[/tex] = √52
( x + 5 )² + ( y - 3 )² = 52
x intercept of y=x^2+5x-24
Answer:
Explanation: to find the x-intercepts, that is the points on the x-axiswhere the graph crosses
x2−5x−24=0←in standard formfactorise the quadratic using the a-c methodthe factors of - 24 which sum to
- 5 are - 8 and + 3⇒(x−8)(x+3)=0equate each factor to zero and solve for
xx−8=0⇒x=8←x-interceptx+3=0⇒x=−3←x
-interceptgraph{x^2-5x-24 [-10, 10, -5, 5]}
The park district is building new bleachers for the softball feild. One row of bleachers will seat 9 people. What is the minimum number of rows needed to seat atleast 150 people?
Answer:
17
Explanation:
First, we observe that 1 row will seat 9 people.
Second, we take 150 and divide that by 9 to get our conversion factor for the amount of bleachers that are needed. Our answer comes out to 16.67, which we can assume that the question is asking for enough to seat all 150 of those people.
So we round up to 17, since 16.67 bleachers simply doesn't exist.
I need help with this problem
Answer:
y = 2x +5
Step-by-step explanation:
f(x) = y means that you want y to be on one side of the equation by itself.
so you need to isolate y.
2y - 4x = 10
first add 4x to both sides of the equation
2y = 4x + 10
then, divide by 2 on both sides to have y by itself
y = 4/2x + 10/2
finally, simplify:
y = 2x + 5
Which equation of a line is perpendicular to y=-1/3x+4?
a. y= -1/3x +4
b. y= 3x+2
c. y= -1/3x-4
d y= 1/3x+4
Answer:
b
Step-by-step explanation:
perpendicular lines have reciprocol slopes,the given line has a gradient of _1/3 nd its reciprocal is 3
URGENT SOLVE 7 8 and 9 THAMK YOU SO MUCHHH
Answer:
7) a
8) b
9) d
Step-by-step explanation:
PLEASE SOLVE!! DUE RIGHT NOW!!! WILL MARK BRAINLIEST IF ANSWERED AND CORRECT!!!!!
Step-by-step explanation:
a) The measure of angle 7 is also 47 degrees. We know this because angle 5 and angle 7 are vertical angles and vertical angles are always equal.
b and c) Since we know that a straight line has an angle of 180 degrees and that the sum of angle 5 and angle 6 will add to this, we can use that to find the value of x like this:
[tex]47+2x-5=180\\47-5+2x=180\\42+2x=180\\42-42+2x=180-42\\2x=138\\\frac{2x}{2} =\frac{138}{2} \\x=69[/tex]
Just need answer x=
Answer:
[tex]at \: y = 20 \\ x = 20[/tex]
Find the 4th term in the sequence
with the following definition:
a1 = 0
a2 = -6
an = 2(an-1-3)
The sequence an = 2(an-1 - 3) is a recursive sequence
The 4th term of the sequence is -42
How to determine the 4th term?The given parameters are:
a1 = 0
a2 = -6
an = 2(an-1 - 3)
Start by calculating a3 using:
a3 = 2(a2 - 3)
This gives
a3 = 2 * (-6 - 3)
a3 = -18
Calculate a4 using:
a4 = 2(a3 - 3)
This gives
a4 = 2 * (-18 - 3)
a4 = -42
Hence, the 4th term of the sequence is -42
Read more about sequence at:
https://brainly.com/question/6561461
Please help i will give brainliest
Answer:
c or a one of the 2
Step-by-step explanation:
I am struggling with both questions please help.
Step-by-step explanation:
xbc = 55
because corresponding angle of parallel lines are equal
BXC = 70
because triangle XBC is Isosceles triangle
angle B = angle C
B = C = 55
so angle
BXC = 180 - 55 - 55
BXC = 180 - 110
BXC = 70
find the area of the figure
thank you <3 will give brainliest
Answer:
13.5
Step-by-step explanation:
A triangles area is base x height divided by two.
Height is 3, and base is 9.
9 x 3 = 27 / 2 = 13.5
solve for d . 8d-6d=10
Simplifying
8d + -6d = 10
Combine like terms: 8d + -6d = 2d
2d = 10
Solving
2d = 10
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Divide each side by '2'.
d = 5
Simplifying
d = 5
Beau spun a tri-colored spinner 30 times. The spinner stopped 12 times on yellow, 5 times on red, and 13 times on blue. Based on this data, if Beau spins the spinner 420 times, how many times would the spinner be expected to stop on red?
Answer:70
Step-by-step explanation:30 divided by 6 equals 5. And 420 divided by 6 equals 70
PLEASE PLEASE PLEASE HELP ME WITH THIS QUICK QUESTION!!!!!!!!!
Answer:
y intercept: 4, x-intercept: None
Step-by-step explanation:
Took the test and got it right
What is the meaning of the sum?
Answer:
the sum is the total amount resulting from the addition of two or more numbers, amounts, or items.
If a point is randomly selected from the rectangular area of the graph, what is the probability that it will be in the blue region? Round answer to the nearest whole percent.
A) 49%
B) 59%
C) 69%
D) 79%
Answer:
D) 79%
Step-by-step explanation:
I had this question on USATestprep and got it right.
Omar measured a summer camp and made a scale drawing. In real life, the sand volleyball court is 9 meters wide. It is 12 centimeters wide in the drawing. What scale did Omar use for the drawing?
Step-by-step explanation:
9 metres = 900cm
Scale = Object length :image length
= 900:12
= 75:1
This means that every 75cm length of the court is represented by 1cm on the drawing paper.
How Do I Do Goldbach’s Conjecture.
What’s the answer for this…
Solve for p
2p + 3 > 2 (p – 3)
Answer:
2p+3>2(p−3)
Use the distributive property to multiply 2 by p−3.
2p+3>2p−6
Subtract 2p from both sides.
2p+3−2p>−6
Combine 2p and −2p to get 0.
-3>6
This is true for any p.
p∈R
Step-by-step explanation:
Hope this helps! :)
Answer:
C. No solution
Step-by-step explanation:
Sove for p;
2p + 3 > 2 (p – 3)
First: distribute 2 (p – 3):
2 (p – 3)
2(p) + 2(-3)
2p - 6
Now add it back to your original problem:
2p + 3 > 2p - 6
Subtract 3 from both sides of the equation:
2p + 3 > 2p - 6
- 3 - 3
2p > 2p -9
Subtract 2p from both sides of the equation:
2p > 2p -9
-2p -2p
0 > -9
Therefore, this inequality has no solution, because we could solve for p.
Hope this helps!
Find the volume of the rectangular prism with the following dimensions: L=1/2 w=1
h=3/4
Answer:
3/8 cubic units
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH
Using the given dimensions, we find the volume to be ...
V = (1/2)(1)(3/4) = 3/8 . . . . cubic units
find the m of arc AB, round to nearest tenth.
Answer:
80°
Step-by-step explanation:
AB and AC are chords.
Chords AB and AC are at a distance of 2 units from the center of the circle.
-> Chord AB = Chord AC
[tex]\implies m(\widehat {AB})=m(\widehat {AC})[/tex]...(1)
(Equal chords intercept equal arcs)
[tex]m(\widehat {AB})+m(\widehat {AC})+m(\widehat {BC})=360\degree[/tex]
(By arc sum property of a circle)
[tex]\implies m(\widehat {AB})+m(\widehat {AB})+200\degree=360\degree[/tex]
(From equation 1)
[tex]\implies 2m(\widehat {AB})=360\degree-200\degree[/tex]
[tex]\implies 2m(\widehat {AB})=160\degree[/tex]
[tex]\implies m(\widehat {AB})=\frac{160\degree}{2}[/tex]
[tex]\implies \huge{\orange{m(\widehat {AB})={80\degree}}}[/tex]
HELPPPPPPPPPP!!! pls show work
Answer:
Step-by-step explanation:
67 becaue you divide all the numbers together then add then multiply then subtract divide that number and you get 67
Lol help pls ……………….
Answer:
x=23
Step-by-step explanation:
the red angle is equal 136 because a || b . I think its called altering angles or something like that . also the red angle and (x+21) angle are complementary angles (they add up to 180) thats where I got the equasion i wrote from.
Find the distance between the points (8,9) and (-3, 3).
Answer:
11, 6
just do 8 - (-3) and 9 - 3
A runner covers the last straight stretch of a race in 4 s. During that time, he speeds up from 5 m/s to 9 m/s. What is the runner’s acceleration in this part of the race?
Given,
Time taken to cover the last last straight stretch of a race = 4 seconds
He speeds up from 5 m/s to 9 m/s
To find,
The acceleration of the runner.
Solution,
We can simply solve this numerical problem by using the following process.
Here,
Initial velocity (u) = 5 m/s
Final velocity (v) = 9 m/s
Time (t) = 4 seconds
Acceleration (a) = ?
According to the formula of kinematics,
a = (v-u)/t
a = (9-5)/4 [By putting the given values.]
a = 4/4 = 1 m/s²
(We have used SI unit of the acceleration, because all the initial physical quantities are also in SI units.)
Hence, the acceleration is 1 m/s²
help me answer this pls
p = -4 and q = -6
hope it helps...!!!
What similarities do scales share with rulers?
Answer:
Both are used to measure some things to some kind of extent.
Step-by-step explanation:
For example Rulers and Scales are used in Geometry to measure length but the extent to which a Scale can measure the length is limited wheareas the for the ruler it is unlimited.
Answer:
They both have a measuring system that looks somewhat like a numberline and they both mesure something. (Also both are referred to as a rular
Step-by-step explanation:
In scientific and engineering terminology, a device to measure linear distance and create proportional linear measurements is called a scale. A device for drawing straight lines is a straight edge or ruler. In common usage, both are referred to as a ruler.
A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. Which expression best represents the value of π?
A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. The required expression for value of π is: 3.14
What is diameter of circle?A circle is a form made up of all points on a plane that are at a specific distance from the centre point. In other words, it is the path a moving point in a plane takes to travel around a curve while maintaining a constant distance from another point.
Given that,
The circumference of the circle was about 50.24 feet,
And the diameter of the circle was 16 feet
We have to determine,
Which expression best represents the value of π.
According to the question,
Circumference of the circle = 50.24 feet
Diameter f the circle = 16 feet
Then,
Circumference of the circle = π × d
Circumference of the circle = 50.24 feet
Therefore,
50.24 = π × d
or. π × 16 = 50.24
or, π = 3.14
Hence, The required expression for value of π is: 3.14
For the more information about the circle refer to:
https://brainly.com/question/11833983
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What is the equation, in slope-intercept form, of the line that contains the points (1, -4) and (2, 1)?
X Y
1 -4
2 1
A. y = 5x - 9
B. y = -5x + 9
C. y = -9x + 5
D. y = 9x - 5
Step-by-step explanation:
please mark me as brainlest
Answer:
A Y= 5x-9
Step-by-step explanation:
. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and put back, and
then another marble is drawn. What is the probability that a blue marble was drawn followed by a
yellow marble?
Answer:
64%
Step-by-step explanation: