help!
Fill in the empty spaces with monomials that make each equality
into an
indentity.
(3x - ...)? = 9x2 - 6x +1
Answers
Answer:
1
Step-by-step explanation:
The square of the value in the empty space is the constant in the expanded expression. That is ...
[ ]² = 1
The value in the space is ...
[ ] = √1 = 1
The filled-in equation is ...
(3x -1)² = 9x² -6x +1
_____
The expansion of the square of a binomial is ...
(ax -b)² = a²x² -2abx +b²
Above, we used the constant term to find 'b', but we could also have used the linear term:
-6x = -2(3)bx . . . . . a=3 in this problem
1 = b . . . . . . . divide by -6x
Related Questions
Find the 7th term of the geometric sequence whose common ratio is 2/3 and whose first term is 6.
Answers
If x = 2and y = - 2 , find the value of 4x ^ 2 * y ^ - 2
Answers
=========================================================
Plug in the values of the variables & simplify:-
[tex]\longrightarrow\pmb{4x^2y^2}[/tex]
The values of the variables are:-
[tex]\bigstar{\boxed{x=2~and~y=-2}[/tex]
Simplify:-
[tex]\longrightarrow\pmb{4(2)^2(-2)^2}[/tex]
[tex]\longrightarrow\pmb{4*4-4}[/tex]
[tex]\longrightarrow\pmb{16-4}[/tex]
[tex]\longrightarrow\pmb{12}[/tex]
==========================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
the answer for this is 4.
Write f(x) = 2x2 – 44x 185 in vertex form. To write f(x) = 2x2 – 44x 185, factor out from the first two terms. Next, form a perfect square trinomial keeping the value of the function equivalent: f(x) = 2(x2 – 22x 121) 185 – 242 The function written in vertex form is f(x) = (x – )2.
Answers
The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x – 11)² – 57.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadrattic equation is f(x) = 2x² – 44x + 185.
Take common 2 from the equation, we have
[tex]f(x) = 2(x^2 - 22x )+ 185[/tex]
Add and subtract 121, we have
[tex]f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57[/tex]
And we know that the standard equation
f(x) = a(x - h)² + k
On comparing, we have
The vertex (h, k) is (11, -57).
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
Answer:
1. 2
2. 2
3. 11
4. -57
Step-by-step explanation: actual answers
A median drawn to a side of a triangle is
Select one:
O a. a ray
O b. a segment
O c. a line
Answers
Unit 10: circles homework 6: arc & angle measures
**please explain how you get your answer**
Answers
Circles are perfectly round figures that have only one central angle
The measure of JML is 233 degrees
How to determine the measures of angle JML?The question is incomplete, so I will give a general explanation using the following parameter:
JL = 127 degrees.
Angles at a point add up to 360 degrees
So, we have:
JML + 127 = 360
Make JML the subject
JML = 360 - 127
JML = 233
Hence, the measure of JML is 233 degrees
Read more about circles and arcs at:
brainly.com/question/25305793
2. What is the measure of angley?
(2 pts.)
52°
to
Answers
Answer: the answer is 55 degrees
Step-by-step explanation:
! PLEASE HELP!
A signal can be sent from one location to another by running different colored flags up a flagpole, one above the other. There are 15 different colored flags to choose from but only 4 flags will be flown. Find the number of different signals consisting of 4, if the first flag must be orange.
If the first flag is orange then the number of different signals consisting of 4 flags is ____
Answers
Using the combination formula, it is found that if the first flag is orange then the number of different signals consisting of 4 flags is 364.
The order in which the flags are chosen is not important, hence, the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, considering that the first flag is orange, 3 flags will be chosen from a set of the remaining 14, hence the number of signals is given by:
[tex]C_{14,3} = \frac{14!}{3!11!} = 364[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
(will mark brainlist)
How would we name the polyonomi ?
PLS SOMEONE HELP ME FIND THE ANSWER AND EXPLAIN #1 to me. and maybe steps. Also if you can help with any other questions that be nice! ILL MARK BRAINLIST
Answers
Answer:
I don't necessarily understand your question but usually the answer to a polynomial question is a binomial answer
A circle is to be drawn with radius 3.5 inches. the radius is measured as 3.6 instead, what error does this cause in the area of the circle?(leave your answer in terms of pi )
Answers
Answer:
[tex]0.71\pi\: in^2[/tex]
Step-by-step explanation:
[tex]r_1= 3.5\: in[/tex]
[tex]r_2= 3.6\: in[/tex]
[tex]A_1=\pi r_1^2=\pi(3.5)^2= 12.25\pi \:in^2[/tex]
[tex]A_2=\pi r_2^2=\pi(3.6)^2= 12.96\pi \:in^2[/tex]
[tex]Difference\: in \:area =A_2-A_1=0.71\pi\:in^2[/tex]
[tex]\implies Error \:in\: the \:area \:of\: the \:circle = 0.71\pi\: in^2[/tex]
Rotate shape A 90° anti-clockwise with centre of rotation (0,0).
What are the coordinates of the vertices of the image?
Answers
Answer:
(-6, 1) (-6, 3) (-5, 3) (-5, 2) (-3 2) -3, 1
Step-by-step explanation:
By rotating 90 degrees x become y and y becomes negative x
jimmy has 27 apples and there are 9 houses. he feeds the same number of apples to each horses. how many apples dose jimmy feed to each horse?
Answers
-------------------------------------------------------------------------------------------------------------
Answer:
The answer is, Jimmy, fed the horses 3 apples each.
27 apples divided into the 9 horses
27 ÷ 9 = 3
If you had 27 seven apples and you individually gave one apple to each of the 9 horses each horse would end up having 3.
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Omar owns a small business selling ice-cream. He knows that in the last week 32
customers paid cash, 2 customers used a debit card, and 26 customers used a credit
card.
a
a
If next week, he is expecting 1500 customers, about how many would you expect to
pay with a debit card? Round your answer to the nearest whole number.
a
Answers
The number of customers who will pay by debit card will be 50.
What are fractions?The fraction is defined as the division of the whole part into an equal number of parts.
Last week there were
32 + 2 + 26 = 60 customers.
That means that the fraction of the customers, who paid by debit card, was
2/60 = 1/30
In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.
we simply say that we expect the same fraction, 1/30 if customers use credit cards.
for the absolute number of predicted debit card customers we multiply the predicted number of customers by the expected fraction
1500 × 1 / 30 = 1500 / 30 = 50
Therefore the number of customers who will pay by debit card will be 50.
To know more about fractions follow
https://brainly.com/question/78672
#SPJ2
Is 5.23 * 10 the 8th power in scientific notation?
Answers
Answer:
yes
Step-by-step explanation:
anything with 10^n multiplied by a number from 0 to 10 is
Use any method to solve the system:
y = 3x - 10 and y=2x-5
Answers
Answer:
x=5
y=5
y = 3x - 10 -----------(1)
y=2x-5------------(2)
Step-by-step explanation:
put the value of y in 2nd equation
y=2x-5
=3x - 10=2x-5
=3x-2x=-5+10
= x=5,
now put the value of x in 1st equation.
y = 3x - 10
=y=3×5-10
=y=15-10
= y=5.
check
put the value of x and y in 1st equation.
y = 3x - 10
x=5,,y=5
=5=3×5-10
= 5=5
hope it's help you
:-befrank
The length of one leg of an isosceles right triangle is 3 ft. What is the perimeter of the triangle? 3 3 StartRoot 2 EndRoot ft 3 3 StartRoot 3 EndRoot ft 6 3 StartRoot 2 EndRoot ft 6 3 StartRoot 3 EndRoot ft.
Answers
The perimeter of the isosceles right triangle comes to be 6+3√2.
Given that the length of one leg of an isosceles right triangle = 3 ft
What is an isosceles right triangle?A right-angle triangle having sides other than hypotenuse equal to each other is called an isosceles right triangle.
So, The length of the other leg of an isosceles right triangle = 3 ft
From Pythagoras theorem
Hypotenuse²=Perpendicular²+Base²
So, in the given isosceles right triangle
Hypotenuse²=Leg 1²+Leg2²
Leg 1=Leg2 = 3 feet
Hypotenuse² = 3²+3²
Hypotenuse = 3√2 ft.
So, the perimeter of the triangle = 3+3+ 3√2
The perimeter of the triangle =6+3√2
Therefore, The perimeter of the isosceles right triangle comes to be 6+3√2.
To get more about the right triangle visit:
https://brainly.com/question/22364396
Answer:
6 + 3 StartRoot 2 EndRoot ft
Step-by-step explanation:
Edge2022
find the area of the triangle if the length is 22 and the height is 15
Answers
Answer:
low 0.5 *the length of the base * the height
Step-by-step explanation:
0.5*22*15=165
The base of this triangle is 22, the height is 15.
0.5 x 22 x 15 = 165
All you need to do now is add the inches or feet or whatever is being used as a measurement to the end of 165
Hello! How to do 10 part (c)?
Answers
Drag each tile to the correct box.
The given steps for constructing a line tangent to circle O that is tangent to the circle at point P on the circle are listed out of order. Arrange the steps in the correct sequence.
A. Without changing the compass width, place the compass on R and make another arc, intersecting the first, and label the intersection S.
B. Draw a line through P and S.
C. With the compass on P, draw an arc on each side of P. Label the intersections Q and R.
D. Draw a straight line from the center, O, through P and extending past P.
E. With the compass on Q, set its width to a setting greater than. Make an arc outside the circle
Answers
Answer:
D, C, E, A, B
Step-by-step explanation:
This is essentially the construction of a perpendicular bisector.
D. Draw a straight line from the center, O, through P and extending past P
C. With the compass on P, draw an arc on each side of P. Label the intersections Q and R.
E. With the compass on Q, set its width to a setting greater than. Make an arc outside the circle
A. Without changing the compass width, place the compass on R and make another arc, intersecting the first, and label the intersection S
B. Draw a line through P and S.
How to find arc in math?Arc length is the distance between 2 points in the arc of a circle. The arc of the circle could be calculated by using the following formula: Arc: Length = Θ x r
What does arc mean?
In general, the arc is a portion of the curve. In mathematics, unless otherwise begain, then arc usually refers to the portion of the circle. Types of arcs. A chord, or the central angle and an inscribed angle may divide the circle into 2 arcs.
Learn more about arc here https://brainly.com/question/27673190
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The table shows the masses of eight polar bears.
Answers
An outlier is a number that is way smaller or way larger than that of other numbers in a data set. The outlier is 62. As a result, the median and the mean would be smaller. The mode would not be affected by the outlier.
To learn more about outliers, please check: https://brainly.com/question/26958242
Can y’all please solve this
Answers
Work:
3 - x = 11 + x
3 - x - 3 = 11 + x - 3
-x = x + 8
-x - x = x + 8 - x
-2x = 8
-2x/-2 = 8/-2
Answer: x = -4
B). The answer is x = 6
Work:
2x + 7 = 3x + 1
2x + 7 = 3x + 1 - 7
2x = 3x - 6
2x - 3x = 3x - 6 - 3x
-x = -6
-x/-1 = -6/-1
Answer x = 6
C). Answer: x = 4/3
Work:
8 - 2x = 4 + x
8 - 2x - 8 = 4 + x - 8
-2x = x - 4
-2x - x = x - 4 - x
-3x = -4
-3x/-3 = -4/-3
Answer: x = 4/3
D). Answer: x = 2
Work:
4x + 2 = 2x + 6
4x + 2 - 2 = 2x + 6 - 2
4x = 2x + 4
4x - 2x = 2x + 4 - 2x
2x = 4
2x/2 = 4/2
Answer: x = 2
Simplifying into an equivalent expression, fill in the missing pieces:
Answers
What does Mean median and mode mean?
Answers
Answer:
mean-average of a data set
mode-most common number in a set
median-middle number of the set
Step-by-step explanation:
you can ask me a question for more info
Answer:
Step-by-step explanation:
Mean - Is the average taken for a set of numbers
Median - The middle value in a data set of numbers
Mode - The number that occurs the most in a given list of numbers.
328 rattle snakes in 2008. How many will there be in 2024?
402853
21498508
32800
20992
Answers
Answer:
[tex]{ \tt{12 \: months = 328}} \\ { \tt{(12 \times 15) = \frac{(15 \times 328)}{1} }} \\ \\ = { \tt{4920}}[/tex]
Answer:
2008=328
2024=?
Step-by-step explanation:
12×13 = 16×328/1
A cylinder has a height of 9 millimeters and a radius of 11 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
3419.46 mm3
Step-by-step explanation:
volume of cylinder = area of circle x heoight
A of circle = pie r sqy = 3.14 x 11 x 11 = 379.94
379.94 x 9 = 3419.46
Part A
Which angles are congruent to ∠5 ? Select all that apply.
A. ∠1
B. ∠2
C. ∠3
D. ∠4
E. ∠6
F. ∠7
Answers
Answer:
A, F, C
Step-by-step explanation:
(I think)
The line through the points (6, 3) and (4, –5) is perpendicular to the line through which of the following points?
Answers
Answer:
Step-by-step explanation:
( 6 , 3 )
( 4 , - 5 )
m = [tex]\frac{-5-3}{4-6}[/tex] = 4
The slope of the perpendicular line is opposite reciprocal or [tex]-\frac{1}{4}[/tex] , so, the answer is (a).
Please help me with complement or supplement of an angles.
Answers
Answer: 101 degrees
Step-by-step explanation:
Help please I need helps please
Answers
Answer:
I belive the answer is 96 ft.
Step-by-step explanation:
Hope that helps!
Is (3, -5) a solution to this system of equations?
y = -1/3x - 4
y = -2x + 1
Yes or No
Answers
Answer: Yes
Step-by-step explanation:
Solve the system of equations by setting the two substituting the first y equation in for the second and getting: -1/3x - 4 = -2x + 1.
Now, add 2x to the left side to cancel it from the right and add 4 to the right side to cancel if from the left to get: (5/3)x = 5
Solve for x to get 3.
Plug x into the second equation (could be either equation though) and get: y = -2(3) = 1 = -5.
Thus, (3,-5) is a solution :)
Solve for the system of equations
Write the following expression using an exponent.
1x7x7x7x7x7
Answers
Answer:
7^5
Step-by-step explanation:
Hopefully this helps :)