Drag the tiles to the boxes to form correct pairs.
Not all tiles will be used.
Match each binomial with its factors.
Answers
Answer:
1 .4x2-9= 2x+3,2x-3
2 .16x2-1=4x-1,4x+1
3 .16x2-4=4(2x+1)(2x-1)
4 .4x2-1=(2x+1)(2x-1)
Step-by-step explanation:
16x² − 1 = (4x − 1)(4x + 1) ; 16x² − 4 = 4(2x + 1)(2x − 1); 4x² − 1 = (2x + 1)(2x − 1) ;
4x² − 9 = (2x + 3)(2x − 3)
16x² − 1 is the difference of squares. This is because 16x² is a perfect square, as is 1. To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.
The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).
16x² − 4 is also the difference of squares. The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2). However, we can also factor a 2 out of each of these binomials; this gives us
2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)
4x² − 1 is also the difference of squares. The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).
4x² − 9 is also the difference of squares. The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).
Answer:
Have a great rest of your day :)
Step-by-step explanation:
Related Questions
Mr Abraham is able to divide the learners in his mathematics class into equal groups of 2, 5 or 6 without leaving any learners out. What is the smallest possible number of learners in the class
Answers
Answer:
30
Step-by-step explanation:
Find the lowest number divisible by both 6, 5, and 2.
To start, let's list off the numbers divisible by six, and see if we can check any of them off for 5. Since both 2 and 6 are even numbers, we know that if a number is divisible by 6, it's divisible by 2.
6 12 18 24 30 36 42 48 54 60
All of these numbers are divisible by two. Let's find the lowest one that is divisible by 5. We know this by either the umber ending in 5 or 0.
30 is the lowest number that is divisible by 2, 5, or 6.
A balloon is floating above a lake and a sunken canoe is below the surface of the lake. The balloon’s vertical position is 12 meters and the canoe’s is -4.8 meters. The equation represents this situation.
Answers
Complete question :
A balloon is floating above a lake and a sunken canoe is below the surface of the lake the balloons vertical position is 12 meters and the canoes is -4.8 meters the equation the equation 12+d= -4.8 represents the situation 1. What does the Variable d represent 2. What value of d make the equation true
Answer:
d = lake
d = - 16.8
Step-by-step explanation:
The scenario described is represented by the equation :
12 + d = - 4.8
The variable d in the equation would refer to the surface of the lake. Hence, the lake is represented as d ;
For the equation above to be true such that the position of canoe is - 4.8
The we solve for d in the equation given :
12 + d = - 4.8
12 + d - 12 = - 4.8 - 12
d = - 16.8
In 1998 there were 305 students who graduated from high school. In 2019, there were 356 students. What is the rate of change in the number of students?
1. About 1 student per year
2. about 51 students per year
3. about 2 students per year
4. about 5 students per year
Answers
Answer:
3. about 2 students per year
Step-by-step explanation:
The rate of change would be the difference in the number of students divided by the number of years passed.
So, rate of change = [tex]\frac{356-305}{2019-1998}[/tex]
= [tex]\frac{51}{21} = 2.43[/tex]
So it's around 2 students per year.
I hope this is correct and helps!
Can someone help me with this. Will Mark brainliest.
Answers
Answer: [tex]\sqrt{89}[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(x_{2}-x_{1)} ^{2} } +(y_{2} -y_{1} )^{2} }[/tex]
(-1, 9) and (7,4)
[tex]d=\sqrt{(7-(-1))^{2}+ (4-9)^{2} }[/tex]
[tex]d= \sqrt{8^{2} +(-5)^{2} }[/tex]
[tex]d=\sqrt{64+25} \\d=\sqrt{89}[/tex]
The size of a TV is usually given by the length of the screen diagonal. If the screen dimensions of a TV are 16 inches by 12 inches, what size is this TV?
A)28 inch
B)20 inch
C)16 inch
D)12 inch
Answers
Answer:
A
Step-by-step explanation:
You have to do step by step
Applying the Pythagorean Theorem, the size of the TV that is 16 inches by 12 inches is: B)20 inch
Recall:
Diagonal of a rectangle can be found using the Pythagorean Theorem given as: [tex]d = \sqrt{l^2 + w^2}[/tex]Where, d = diagonal, l and w are the dimensions of the shape.Given:
l = 16 inches
w = 12 inches
Therefore,[tex]d = \sqrt{16^2 + 12^}\\[/tex]
[tex]d = \sqrt{400} \\\\\mathbf{d = 20 inches}[/tex]
Therefore, applying the Pythagorean Theorem, the size of the TV that is 16 inches by 12 inches is: B)20 inch
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HELPPP MEE PLSSS
Find m∠2
Answers
Answer:
Step-by-step explanation:
180-68=112
1= 68
2=112
ASAP plz I’m being times 40 point + Brainly for correct find slope and rate of change
Answers
Answer:
slope: -30x
rate of change: -30
Step-by-step explanation:
[tex] \frac{change \: in \: y}{change \: in \: x} [/tex]
[tex] \frac{ - 30}{1} [/tex]
slope = -30x
rate if change: -30
Write the ratios for sin A and cos B. 10 AC, 24 CB, 26 BA
Answers
Answer:
acdc
Step-by-step explanation:
please help with this!!!
Answers
The Y-Intercept is the point where the line intersects on the y-axis!
Find the volume of a right circular cone that has a height of 3.2 m and a base with a
radius of 14.1 m. Round your answer to the nearest tenth of a cubic meter.
Answers
Answer:
what's the question i need more info
Can someone please help me with math.
Answers
Can someone please solve this it's very important thank you
Answers
50 Points Help will give brainliest
Answers
1. To transform from standard form to vertex form you need to complete the square.
To transform from vertex form to standard form multiply the equation out and combine all the like terms.
2. The attributes from vertex form would be the roots ( zeros)
From standard form the attribute would be the lowest point, also known as the vertex.
What does 2 (p -q) +5 (p+q) equal when p = 7 and q = -2? Answer:
Answers
Answer:
43
Step-by-step explanation:
Given
2(p - q) + 5(p + q) ← substitute p = 7 and q = - 2 into the expression
= 2(7 - (- 2)) + 5(7 + (- 2))
= 2(7 + 2) + 5(7 - 2)
= 2(9) + 5(5)
= 18 + 25
= 43
enter the length of PQ to the nearest tenth.
Answers
Answer:
[tex]\displaystyle PQ \approx 5.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ = 55°
Adjacent Leg = PQ
Hypotenuse = 9
Step 2: Solve
Substitute in variables [cosine]: [tex]\displaystyle cos55^\circ = \frac{PQ}{9}[/tex][Multiplication Property of Equality] Isolate PQ: [tex]\displaystyle 9cos55^\circ = PQ[/tex]Evaluate: [tex]\displaystyle 5.16219 = PQ[/tex]Rewrite: [tex]\displaystyle PQ = 5.16219[/tex]Round: [tex]\displaystyle PQ \approx 5.2[/tex]A local artist, Sally, had a total of $2,610 at the end of the State Art Fair. She sold each of her paintings for $45. How many paintings did she sell?
Answers
Using the graph, determine the equation of the circle
Answers
Answer:.
Step-by-step explanation:
Well if you look at the graph and first look at the
joe nuts
A construction company wants to hire x carpenters for $220 a day and y plumbers for $260 a day. the company wants to hire at least 18 workers. it wants to pay no more than $4500 each day.
write a system of inequalities to model the situation (use >, <, <=, =>)
Answers
Answer:6
Step-by-step explanation:
$220 × 6 = $1320 this is how much it cost to pay 6 carpenters for one day. Now lets find how much it cost to 12 plumbers at $260 a day. $260 × 12 = $3120 this is how much it costs to pay 12 plumbers a day.
What is the value of x when angle 1 is74° and angle 2 is 6x + 8° ?
Answers
Answer:
74 + 6x + 8 = 180
6x + 82 = 180
6x = 180 - 82
6x = 98
x = 98/6
x = 16.3
this answer is only correct
when angles in linear pair
8 is added to a number
Answers
Answer:
what the question?
Step-by-step explanation:
A composite figure is shown below.
What is the area of the figure?
A 6
B 8
C 9
D 10
Answers
Answer:
option C 9 unit².
Step-by-step explanation:
option C 9 units ²
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you if you find it useful.
Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4 per gigabyte. He wants to keep his bill at $71.90 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Owen can use while staying within his budget.
Answers
Answer:
1 gig im preety sure i might be wrong
Step-by-step explanation:
Find the sum
(7x^6 + 2x^5 – 3x^2 + 9x) + (5x*5 + 8x^3 – 6x² + 2x - 5) =
Answers
Answer:
i think
7x^6+7x^5+8x^3-9x^2+7x-5
Jesse read 98 pages of a book in one week. What was his unit rate of
pages read per day?
Answers
Answer:
14 per day
Step-by-step explanation:
Please mark brainliest
The sum of 2/3m and 1/5
Answers
Hope this helps
Serenity invested $1300 in an account that pays 4.5% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Serenity would have in the account 10 years after her initial investment. Round to the nearest tenth (if necessary).
Answers
Answer: 2018.9
Step-by-step explanation:
5x - 9y = -13
-2x + 3y = 4
Answers
Can you explain more? if your looking for the slope of both it is 5/9 for the fist one and 2/3 for the second. If your looking for y and x -intercept for the first one x intercepts at (-2,0) and y intercepts at (0, 4/3) and, for the second one x intercepts at ( -13/5, 0) and y intercepts at (0, 13/9)
What is md enter your answer in the box
Answers
because if you add 14+45 it equals 59 then you minus 180 because a triangle is 180 degrees then you get 121 and then 121 minus 27= 94
1,000 cm = 0.01 km
Correct or incorrect
Answers
Answer:
Correct
Step-by-step explanation:
Answer:
Correct
Step-by-step explanation:
Hope this helps
A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of road per hour. The function f(x) = 300x
Answers
Answer:
Step-by-step explanation:
i go to southwind what’s the answer ??
The crew would spend 3.33 hours to pave a road that is 1,000 ft².
A linear equation is in the form:
y = mx + b;
where y, x are variable, m is the slope of the line and b is the y intercept.
Let f(x) represent the amount of space paved in x hours.
Given the function:
f(x) = 300x
Therefore to pave 1000 ft²:
1000 = 300x
x = 3.33 hours
The crew would spend 3.33 hours to pave a road that is 1,000 ft².
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