The binomial factor of the equation [tex]\rm 9x^2 -64[/tex] is 3x-8.
What is a binomial factor?The algebraic expression which contains only two terms is called binomial. It is a two-term polynomial. Also, it is called a sum or difference between two or more monomials.
Factoring binomials means breaking down a binomial expression into its simplest form.
Binomials are algebraic expressions with two terms.
The given binomial is;
[tex]\rm 9x^2 -64[/tex]
The binomial is determined in the following steps given below.
[tex]\rm =9x^2 -64\\\\= (3)^2x^2-8^2\\\\= (3x)^2-8^2\\\\= (3x-8)(3x+8)[/tex]
Hence, the binomial factor of the equation [tex]\rm 9x^2 -64[/tex] is 3x-8.
To know more about the Binomial factor click the link given below.
https://brainly.com/question/1493247
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]
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]
How Do I Do Goldbach’s Conjecture.
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.
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
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
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
Identify the correctly formulated null hypothesis:
A factory has a machine that dispenses 80 milliliters of fluid in a bottle. An employee believes the average amount of fluid is not 80 milliliters. Using 40 samples, he measures the average amount dispensed by the machine to be 78 milliliters with a standard deviation of 2. 5.
a
The machine dispenses 80 ml of fluid.
b
Ha: mu=80
c
H0: mu=80
d
The machine does not dispenses 80 ml of fluid
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.
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.
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
Do employer-sponsored wellness programs work? About 5000 employees at the University of Illinois at Urbana-Champaign volunteered for a study to find out. Researchers randomly assigned 3300 volunteers to a treatment group and the remaining 1534 to a control group. Employees in the treatment group were invited to take paid time off to participate in a wellness program. Those in the control group were not allowed to participate. One measure of the program's effectiveness was employee attrition. In the 2-year period following the start of the study, 356 of the people in the treatment group left their job for any reason, compared to 184 of the people in the control group. Do these results provide convincing evidence at the a= 0. 05 level that offering employees paid time off to participate in a wellness program reduces the proportion who leave their job within 2 years for people similar to the ones in this study?
The research analysis computed do not give supporting evidence that employer-sponsored wellness programs work.
How to analyze the research study?From the information given, the sample proportion for treatment group will be:
= 356/3300 = 0.1078
The sample proportion for the control group will be:
= 184/1534 = 0.1199
The z value is -1.24 and the p value is given as 0.1078. In this case, we fail to reject the null hypothesis.
Therefore, the results do not provide convincing evidence that offering employees paid time off to participate on a wellness program will reduce the proportion of those who leave their job within two years.
Learn more about research on:
https://brainly.com/question/25257437
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
Two points on a circle are points A(-11,7) and B(-9,-3)
1. Determine the equation of a lone containing the center of the circle
2. If the x-coordinate of the center is -5, determine the circle's center: (-5,?)
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
The diameter of a circle is 41 ft. Find its area to the nearest whole number.
Answer:A≈1320.25ft²
Step-by-step explanation:
A=1
4πd2=1
4·π·412≈1320.25431ft²
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.
Find the distance between the points (8,9) and (-3, 3).
Answer:
11, 6
just do 8 - (-3) and 9 - 3
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.
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
Please help i will give brainliest
Answer:
c or a one of the 2
Step-by-step explanation:
Express in simplest form.
Answer:
x-2/x
Step-by-step explanation:
¨/¨ means over
Answer:
(x-2)/x
Step-by-step explanation:
We can factor the numerator and denominator to see if anything simplifies.
[tex]\frac{(x-2) (x+5)}{x (x+5)}[/tex]
because (x-2)(x+5) = x² +5x-2x-10 = x² + 3x -10 and
x(x+5) = x² +5x
Simplify further
[tex]\frac{x-2}{x}[/tex]
because [(x+5) /(x+5)] = 1
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]}
What is the coefficient of the x'y term in the expansion of (x – 2y)??
Answer:
2
Step-by-step explanation:
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!
URGENT SOLVE 7 8 and 9 THAMK YOU SO MUCHHH
Answer:
7) a
8) b
9) d
Step-by-step explanation:
use a proportion to change to the given unit
12kL = _____ L
28g = _____ mg
8 km = _____ m
2.2 g = ______ cg
7 dm = ______ m
5.5 cg = _____ dg
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
If someone makes as many slices of toast as possible in 4 minutes and
40 seconds, how many slices do you think they can make?
Answer:
probably like 4 slices
Step-by-step explanation:
you figure if a toaster takes about 1-2 minutes to toast a piece of bread and a toaster usually can fit 2 slices at a time i would say 4.
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
Just need answer x=
Answer:
[tex]at \: y = 20 \\ x = 20[/tex]