Answers
Answer: [tex]-p^2-(q+r)^2[/tex]
Work Shown:
I'm assuming your teacher wants you to factor as much as possible.
[tex]-p^2-q^2-r^2-2qr\\\\-p^2-q^2-2qr-r^2\\\\-p^2-(q^2+2qr+r^2)\\\\-p^2-(q+r)^2\\\\[/tex]
In the last step, I used the rule that [tex](a+b)^2 = a^2+2ab+b^2[/tex]
We cannot factor any further. If the first term was [tex]p^2[/tex] instead of [tex]-p^2[/tex], then we could use the difference of squares factoring rule.
Related Questions
Andrea and Peter are riding their bicycles in the same direction on the same path. Andrea started 6 miles ahead of Peter and is traveling at a rate of 12 miles per hour. Peter is traveling at a rate of 14 miles per hour. After how many hours will Peter catch up to Andrea? Write and solve an equation to model the problem. Explain the meaning of the solution.
Answers
Answer:
3 hours
Step-by-step explanation:
Step one:
given
Andrea started 6 miles ahead of Peter and is traveling at a rate of 12 miles per hour.
let the number of hours be x
and the total distance traveled be y
y=6+12x------------1
the initial distance is 6 miles
the distance traveled after x hours = 12x
Peter is traveling at a rate of 14 miles per hour.
y=14x------------2
the initial distance is 0 miles
the distance traveled after x hours = 14x
Step two:
let us equate the two expressions above
6+12x=14x
14x-12x=6
2x=6
divide both sides by 2
x=6/2
x= 3 hours
it will take 3 hours for both of them to cover the same distance
Reggie is deciding when to go bowling with his friends. Friday night is glow-bowling night, with 5 glow-bowling games for $22.50. But the early-bird special on Saturday morning offers 8 games for $30. How much more does glow-bowling cost per game?
How much does it cost per game?
Answers
Step by step explanation:
What is a pendulum?
Answers
Answer:
A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting, equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position
EXAMPLES:
the tick in a grandfather clock, a wrecking ball suspended by a chain or link
Step-by-step explanation:
hope this helps! please mark brainliest:)
A pendulum is a simple device consisting of a weight suspended from a fixed point, allowing it to swing back and forth under the force of gravity
Pendulum: A pendulum is a simple device consisting of a weight suspended from a fixed point, allowing it to swing back and forth under the force of gravity. The bob is typically attached to a string, rod, or wire that allows for free movement.
When a pendulum is set in motion, it swings back and forth in a regular and repetitive pattern.
The motion of a pendulum is governed by several factors, including the length of the pendulum, the mass of the bob, and the gravitational acceleration.
The swinging motion of a pendulum is influenced by two fundamental principles:
1. Period: The period of a pendulum is the time it takes for the pendulum to complete one full swing from one side to the other and back. The period depends on the length of the pendulum and is not affected by the mass of the bob. A longer pendulum will have a longer period, while a shorter pendulum will have a shorter period.
2. Oscillation: The pendulum oscillates due to the force of gravity acting on the bob. As the pendulum swings to one side, it gains potential energy, which is then converted into kinetic energy as it swings back. This energy transfer causes the pendulum to continue swinging back and forth.
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Acone with diameter 4 cm and a height of 8 cm. What is the volume of the figure? Round your answers to the nearest tenth,
if necessary.
a
18.1cm3
b
33.5cm3
с
44.5cm
d
30.2cm
Answers
Answer:
B. 33.5 cm³Step-by-step explanation:
d = 4 cm ⇒ r = 2 cm
so:
[tex]V=\frac13\pi r^2\cdot H=\frac13\pi\cdot 2^2\cdot8\approx\frac13\cdot3.1415926...\cdot32=33.51032...\approx33.5\ cm^3[/tex]
Nathen packs 25 boxes in 2 hours. How many boxes can he pack in his 8 hour shift?
Answers
HELP I HAVE 5 MINUTES
Answers
Answer:
24
Step-by-step explanation:
4x6
Can someone please help me with proofs
Answers
3) Triangle AED is congruent to triangle CFD (SAS)
how do i evaluate l18l
Answers
Answer:
18
Step-by-step explanation:
It is asking for the absolute value of 18. The absolute value is the units away from 0 the number is, so the answer is 18.
Answer: the answer is 1^19 (one to the power of 19)
Step-by-step explanation:
l^18 multiplied by l^1 = l^(18 + 1) = l^19
(1 to the power of 18 multiplied by 1 to the power of 1 equals 1 to the power of (18 + 1) equals 1 to the power of 19)
Square number (2x+5y)(3x^2-4xy+2y^2)
Answers
Answer: 6x³+7x²y-16xy²+10y³
Step-by-step explanation:
( 2x + 5y )( 3x² - 4xy + 2y²)
⇒ (2x * 3x² ) = 6x³
⇒ (2x * - 4xy) = -8x²y
⇒ (2x * 2y² ) = 4xy²
⇒ (5y * 3x² ) = 15x²y
⇒ (5y * - 4xy) = -20xy²
⇒ (5y * 2y² ) = 10y³
( 2x + 5y )( 3x² - 4xy + 2y²) = 6x³-8x²y+4xy²+15x²y-20xy²+10y³
= 6x³+7x²y-16xy²+10y³
15 POINTS FOR THIS MATH QUESTION!
A teacher’s monthly gross pay is $5,321. The federal government withholds 15% of the teacher’s monthly gross pay for income taxes. How much does the teacher pay in income tax every month?
Answers
Answer:
798.15
Step-by-step explanation:
5321 x .15 = 798.15
(I think)
Answer:
798.15
Step-by-step explanation:
7x+8(x+1/4)=3(6x-90-8
Answers
Answer:
exact form 296/3 decimal form 98.6666666 mixed number form 98 2/3
Step-by-step explanation:
Answer:
First result: X = 248/3 or 82.67 Second result: X = 260/3 or 86.57
Step-by-step explanation:
1st one: 7x + 8(x + 1/4) = 3(6x - 90 - 8)
7x + 8x + 2 = 18x - 270 - 24
15x + 2 - 2 = 18x - 246 - 2
15x - 18x = 18x - 18x -248
-3x = 248 --> -3x/3 = 248/3
X = 248/3 or X = 82.67
2nd one: 7x + 8(x+1/4) = 3(6x - 90) - 8
7x + 8x + 2 = 18x - 270 - 8
15x + 2 - 2 = 18x - 262 - 2
15x - 18x = 18x -18x - 260
-3x = 260 --> -3x/3 = 260/3
X = 260/3 or X = 86.67
Sorry if none of these are the answer!
solve for x 9x + 1 equals 25 + x edg 2020?
x=2
x=3
x=4
x=5
Answers
athletic shoes: $79.99
discount: 40%
Answers
Answer:
48$ -specific (not rounded)
Step-by-step explanation:
There could be other solutions that can work. Such as counting the 79.99 to just 80. But for the very SPECIFIC value, you have to find 40% of 79.99 by multiplying it by .4 . 79.99*.4 = 31.99. After that, you would subtract 79.99 and 31.99 which would get you to 48.
Answer:
$47.99
Step-by-step explanation:
79.99*40/100
79.99*0.4
40% of $79.99 = $32.00 ( rounded )
79.99 - 32 = $47.99
The equation x+3y=2 can be rewritten in the equivalent form y=___x+____ which revels a slope equals to ___
-3,-2,-1,-2/3,-1/3,1/3,2/3,1,2,3
Answers
Hello!
[tex]\large\boxed{Slope = -\frac{1}{3}}[/tex]
x + 3y = 2
Rewritten into slope form: y = mx + b
Find the slope when rewritten:
Move x to the right hand side of the equation. (Subtract)
x - x + 3y = 2 - x
3y = 2 - x
Divide both sides by 3:
y = 2/3 - 1/3x
Rearrange:
y = -1/3x + 2/3.
The slope is equivalent to -1/3.
U= {1,2...,10}
A= {2,3,5,7}
B= {2,4,5,7}
D= {1,2,5,7}
Find:
1. A U B U D
2. A n B n D
Answers
Answer:
1) {5,7}
2) {1,2,5,7}
Step-by-step explanation:
1) A union B union C
means you take common contents in all A,B,C
2) A and B and C
means you take all the contents of all A,B,C and combine
for f(x) = 1/3x +5
f(3) =
Answers
Answer:
f(3) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 1/3x + 5
f(3) is x = 3
Step 2: Evaluate
Substitute: f(3) = 1/3(3) + 5Multiply: f(3) = 1 + 5Add: f(3) = 6What is the quotient?
Answers
Answer:
just post them all in one question instead of a ton of different questions. it's annoying.
Step-by-step explanation:
PLEASE HELP i'll give brinlist to the first person that is right
Answers
Help me out it’s for geometry thank you
Answers
Answer:
7
Step-by-step explanation:
11x-2 = 75
+2. +2
---------------
11x = 77
/11. /11
Select the row of Pascal's triangle that is used to expand the binomial expression (22³ + 3y²)².
1
11
121
1331
14 641
1
5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21
35 21 7 1
1 8 28 56 70 56 28 8 1
M
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Sep 15
1:1
Answers
We will select the third row from the pascal triangle to expand the binomial expression (22³ + 3y²)² which is equal to
(22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴
We know that when we need to expand the expression (a + b)² we select the coefficients from the row of triangle beginning with 1,2 which is (1,2,1).
And when we write the expansion we note that with each new term we decrease the power of a and increase the power of b.
Thus the expansion can be written as
(a + b)² = 1a² + 2ab + 1b²
which we normally write as
(a + b)² = a² + 2ab + b² (1)
According to the question we have been the expression as
(22³ + 3y²)² which is equal to the above expression where,
a = 22³ and b = 3y²
Putting the required values in equation (1) we get
(22³ + 3y²)² = (22³)² + 2(22³)(3y²) + (3y²)²
= 22⁶ + 63888y² + 9y⁴
Hence we will select the third row from the pascal triangle to expand the binomial expression (22³ + 3y²)² which is equal to
(22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴
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Anyone wanna help me do this because I’m not understanding how this works
Answers
Answer:
its b .
Step-by-step explanation:
How many portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds?
Answers
Number of portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds is 51 7/35.
Here,
A boneless roast weighing = 28 pounds
Each portion = 8 3/4 ounces
We have to find the number of portion.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Now,
Since, 1 pound = 16 ounces
Hence, 28 pound = 28 x 16 = 448
So, Number of portions = 448 ÷ 8 ¾ = 448 ÷ 35/4 = 51 7/35
Therefore, Number of portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds is 51 7/35.
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On a coordinate plane, a point is 7 units up on the y-axis. Which of the statements are true? On a coordinate plane, a point is 7 units up on the y-axis.
Which of the statements are true? Select all that apply.
The point is located at (7, 0).
The point is located at (0, 7).
The point is on the y-axis.
The point is on the x-axis.
The point is at the origin.
Answers
Answer:
The second one
The third one
Step-by-step explanation:
Answer:
the point is located at 7,0. the point is on the y-axis.
Step-by-step explanation:
Help pls . Math people
Answers
3(121) -5
363-5
358
[tex]f(x)=3x^2-5[/tex]
Substitute x = -11 in the equation.
[tex]f(-11)=3(-11)^2-5\\f(-11)=3(121)-5\\f(-11)=363-5\\f(-11)=358[/tex]
Thus, the answer is 358 aka the second choice.
Use the area of the rectangle to find the area of the triangle.
15 ft
8 ft
please help me
Answers
Answer:
c
Step-by-step explanation:
area of triangle=1/2 area of rectangle
where l=base
w=height of triangle.
The value of y is directly proportional to the value of x. If y = 35 when X = 140, what is the
value of y whenx=70?
Answers
Answer:
17.5
Step-by-step explanation:
soln:
given,
since, x and y are directly proportional
and x=140, y=35
dividing x by y we get,
x/y=140/35
or,x/y=4/1
or,x=4y
when x=70,
x=4y
or,70=4y
•°•y=17.5
What is the value of x in the solution to this system of equations?
4x−7y=105
y=−3x+10
Enter your answer in the box.
Answers
Answer:
Y=7y=105
Step-by-step explanation:
Answer:
x = 7
y= -11
Step-by-step explanation:
56 divided by 9,072 long form
Answers
Answer:
0.0061728395
Step-by-step explanation:
BOOM
HELP ASAP I DONT HAVE TIME AND IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answers
Answer:
I think it's 1,920
Step-by-step explanation:
Multiply 320 × 6 which would give you 1,920!
My assigned ratio is: 2:5 Give Two examples of ratios that are equivalent to my ratio:
Answers
Answer:
4:10 and 6:15 are equivalent to 2:5