Answers
Answer:
a = 16 and b = 13
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, so
CD = AB , that is
3a - 10 = 2a + 6 ( subtract 2a from both sides )
a - 10 = 6 ( add 10 to both sides )
a = 16
The diagonals of a parallelogram bisect each other, so
AO = CO , that is
2b = 26 ( divide both sides by 2 )
b = 13
Related Questions
2 questions,Neeed helpppp assssaaaappp!!!
Answers
Answer:
(i) (x + 3) is a factor of p(x)= x⁴ + 4x³ + 4x² + 4x + 3 and the remaining factors are (x + 1) and ( x² + 1).
(ii) (x + 1) is not a factor of p(x)= 2x⁴ - 5x² - 2 and the remainder is -5.
Step-by-step explanation:
(i) Given;
Polynomial, p(x)= x⁴ + 4x³ + 4x² + 4x + 3
Factor, = x + 3
x = -3
if (x + 3) is a factor of the polynomial, then p(-3) = 0
p(-3) = (-3)⁴ + 4(-3)³ + 4(-3)² + 4(-3) + 3
= 81 -108 + 36 - 12 + 3
= 0
(x + 3) is a factor of the given polynomial and the remainder is 0.
The remaining factors can be obtained as follows;
x³ + x² + x + 1
--------------------------------
x + 3 √x⁴ + 4x³ + 4x² + 4x + 3
- ( x⁴ + 3x³)
--------------------------------
x³ + 4x² + 4x + 3
-(x³ + 3x²)
----------------------------------
x² + 4x + 3
-(x² + 3x)
---------------------------------------
x + 3
-(x + 3)
---------------------------------------
0
Further divide x³ + x² + x + 1 by x + 1
x² + 1
---------------------
x + 1 √x³ + x² + x + 1
-(x³ + x²)
------------------------
x + 1
-( x + 1)
-----------------
0
Thus, the factors of x⁴ + 4x³ + 4x² + 4x + 3 = (x + 3)(x + 1)( x² + 1)
(ii) Given;
Polynomial, p(x)= 2x⁴ - 5x² - 2
Factor, = x + 1
x = -1
if (x + 1) is a factor of the polynomial, then p(-1) = 0
p(-1) = 2(-1)⁴ - 5(-1)² - 2
= 2 - 5 - 2
= -5
Thus, (x + 1) is not a factor of the given polynomial and the remainder is -5.
Evaluate the algebraic expression -2.3a + 4.6 for the given value 6
help!??!?!?
Answers
Answer:
someone please answer
Step-by-step explanation:
I need this too
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Answers
Write an inequality that represents the graph
Answers
the inequality that represents the graph is y＝3x-3
Answer:Y less than or equal to (use the sign) 3x - 3 I took the test
There are 22 players in a football team 9 play defense 10 play midfield and 11 play attack. 5 play defence only 4 play midfield only and 6 play attack only How many play all three positions
Answers
Answer:
7
Step-by-step explanation:
The number of players that play all three positions will be 7 for the given data.
What are permutation and combination?When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.
The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.
As per the given,
Total players = 22
5 play defense only 4 play midfield only and 6 play attack only
5 + 4 + 6 = 15
22 - 15 = 7 play all positions.
Hence "The number of players that play all three positions will be 7 for the given data".
For more about permutation and combination,
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HELP!!! Determine the type of triangle that is drawn below.
Scalene Right
Scalene Obtuse
Isosceles Acute
Scalene Acute
Equilateral
Isosceles Obtuse
Isosceles Right
Answers
Answer:
Scalene right triangle is the triangle with all 3 sides are not equal with each other and makes 90° at one of the angle.
Scalene obtuse triangle is the triangle with all 3 sides are not equal with each other and makes one angle more than 90° at one of the angle.
Isosceles Acute triangle is the triangle with all 2 sides and makes one angle less than 90° at one of the angle.
Scalene Acute triangle is the triangle with all 3 sides are not equal with each other and makes one angle less than 90° at one of the angle.
equilateral triangle triangle is the triangle whose all 3 sides are equal with each other and makes angle of 60°.
Isosceles obtuse triangle is the triangle with all 2 sides are equal and makes one angle more than 90° at one of the angle.
Isosceles right triangle is the triangle with all 2 sides are equal and makes 90° at one of the angle.
Al's Rentals charges $25 per hour to rent a sailboard and a wetsuit. Wendy's Rentals
charges $20 per hour plus $15 extra for a wetsuit. Find the number of hours for
which the total charges for both companies would be the same.
Answers
Answer:
x=3
Step-by-step explanation:
Please help me with this
Answers
Answer:
it would be the ones where there are two lines not touching
Step-by-step explanation:
Simplify the following.
1. a4 – 2a – 3a4 – 3a + 1
Answers
Answer:
− 2 a 4 − 5 a + 1
Step-by-step explanation:
Answer:
-2a^4 - 5a +1
Step-by-step explanation:
I dunno if this is right but i got this.
in the isosceles right triangle below, AB=10ft. what is the length in feet of AC?
Answers
Answer:
_
10\/2 is the length AC.
Classify the triangle by its angles and sides.
6 in.
5 in.
8 in.
obtuse isosceles
acute isosceles
obtuse scalene
right scalene
Answers
Answer:
obtuse scalene since 6 square plus 5 square is 36+25= 61, and 8 squared is 64, so 61<64, and if the legs are less than the hypotenuse, it would be an obtuse triangle. all the side are also unequal so it's a scalene.
Please help answer this! asap
Answers
okay maybe not, but here is a cursed image, i hope you get cursed lulw
Step-by-step explanation:
Kl²=JL²-JK²=144-49=95
KL=√95
KL×KJ/2=JL×KM/2
KM=7√95/12
JM²=JK²-KM²
JM=49/12
Help on this please
Answers
Answer:
D.
Step-by-step explanation:
The range of a function is the set of all y-coordinates of the points of the function.
The smallest y-coordinate is 1. Then the y-coordinates increase all the way to infinity.
y >= 1
Answer: D.
Answer:
D. y ≥ 1
General Formulas and Concepts:
Math
Number LineAlgebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, the line's y-value spans from 1 to infinity. Since 1 is a closed dot (included in the graph), it is inclusive in the range:
[-1, ∞) or y ≥ 1
Diane keeps her ribbons in a drawer. She has 3 white ribbons, 6 pink ribbons, 2 yellow ribbons, and 7 blue ribbons. Without looking, Diane pulls a ribbon out of the drawer. What is the probability Diane pulls out a pink ribbon?
Answers
Answer:
1/3
Step-by-step explanation:
She has 18 ribbons in total and she has 6 pink ribbons so she has a 6/18 chance or 1/3 chance of pulling a pink ribbon
What is the least number of students for a community work in class 7 while making a group of 5 students, 7 students and 10 students so that no students are left out.
Answers
Answer:
is there a part of the question missing/
Step-by-step explanation:
Solve for x
Enter the solutions from least to greatest.
(3x – 6)(-x + 3) = 0
lesser x =
greater x =
Answers
A clothing company charges a 15% shipping fee on orders under $50 and a 12.5% shipping charge on orders of $50 or more. How much more would the company charge for shipping on a $49 order than on a $50 order? *
Answers
Answer:
$1.10
Step-by-step explanation:
order of $49 would result in a $7.35 shipping charge (49 x .15)
order of $50 would result in a $6.25 shipping charge (50 x .125)
difference is $1.10
The company will charge $1.1 for shipping on a $49 order than on a $50 order.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is a clothing company charges a 15% shipping fee on orders under $50 and a 12.5% shipping charge on orders of $50 or more.
Now, for $49, the shipping charge will be -
[x] = 15% of 49
[x] = (15/100) x 49
[x] = 7.35
now -
[y] = 12.5% of 50
[y] = (12.5/100) x 50
[y] = 6.25
Now -
[x] - [y] = 7.35 - 6.25 = $1.1
Therefore, the company will charge $1.1 for shipping on a $49 order than on a $50 order.
To solve more questions on equations, expressions and polynomials, visit the link below -
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1) Solve the following equations : a)x/5 + 10 =15 b) 25x + 26 = 101
2) Four less than a number is 10 . b)The product of three and a number equals 12
Answers
Answer:
1a) 25, 1b) 3, 2a) 14, 2b) 4
Step-by-step explanation:
1a)
x/5 + 10 = 15
Subtract 10 from both sides:
x/5 = 15 - 10
x/5 = 5
Multiply both sides by 5:
x = 5 * 5
x = 25
1b)
25x + 26 = 101
Subtract 26 from both sides:
25x = 101 - 26
25x = 75
Divide both sides by 25:
x = 75/25
x = 3
2a)
Four less than a number is 10.
Let's call the number x. This means:
x - 4 = 10
Now add 4 to both sides:
x = 10 + 4
x = 14
2b)
The product of three and a number equals 12.
Let's call the number x. This means:
3 * x = 12
Now divide both sides by 3:
x = 12/3
x = 4
1. Mike is buying a large pizza. The pizza cost $8.00 plus .50 for each additional topping. Which function correctly models this situation? A) y=8x+.50
B) y=8.50
C) y=8x-.50
D) y=.50x+8
Answers
is the correct answer
A subway ride for a student costs $1.25. A monthly pass costs $35.
a. Write an inequality that represents the number of times you must ride the
subway for the monthly pass to be a better deal.
b. You ride the subway about 45 times per month. Should you buy the monthly
pass? Explain.
Answers
A: 29 times
B: Yes
Explanations:
A: You do 35/1.25 and get 28, but thats not a better deal that's the same, so you go up one and make it 29.
B: Yes, 45(1.25) is 56.25 which is well over 35
Answer:
a. x(1.25) > $35
b. 45(1.25) = 56.25. Yes you should buy the monthly pass opposed to paying $1.25 each time you ride the subway.
Step-by-step explanation:
a. x = (number of subway rides) 1.25 = (cost per subway ride)
> = the cost of paying individual subway rides surpasses the cost of the monthly pass therefore making it a better deal.
b. If you ride the subway 45 times, 45 x 1.25 = 56.25 which is $21.25 more than the $35 monthly subway pass, which makes the monthly pass more practical.
find the value of x and y if (2x + 3y , 2x ) = (20,x +4)
Answers
Answer:
X=4 and y=4
Step-by-step explanation:
Equate the corresponding coordinate and solves it simultaneously
Can someone please help I don’t understand
Answers
Answer:201,06
Step-by-step explanation: the formula for the A in the circle is A= r*r*pi
r=8
pi=3,14
A=8*8*3,14=201,06
if x and y varies directly and x = 4 when y = 16. find y when x = 9?
Answers
9514 1404 393
Answer:
36
Step-by-step explanation:
"Varies directly" means the relationship is proportional:
y/9 = 16/4
y = 9·16/4 = 36
The value of y is 36 when x = 9.
What is the answer to
5p+8 = 7p+2
Answers
Answer:
p = 3
Step-by-step explanation:
5p+8 = 7p+2 (subtract boths sides by 2 and 5p)
6 = 2p (Divide both sides by 2)
p = 3
Answer:
p=3 hoped this helped........
Terrell takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut he makes is 40 inches long and the width of the fabric is 32 inches. What is the fabric's length?
Answers
Answer:
Step-by-step explanation:
Answer:
From the Pythagorean Theorem
side^2 = 40^2 -32^2
side^2 = 576
side = 24 inches
Step-by-step explanation:
Juelle had $25,000 to invest. She invested part of that amount at 3% interest and part at 5% interest for one year. The amount of interest she earned for both investments was $1100. How much was invested at each rate?
Answers
Answer:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
Step-by-step explanation:
Juelle had $25,000 to invest.
She invested part of that amount at 3% interest and part at 5% interest for one year.
The amount of interest she earned for both investments was $1100.
The formula for Simple Interest =
Principal × Rate × Time
Let us represent
The first amount invested at 3%= x
The second amount Invested at 5% = y
x + y= $25,000....... Equation 1
x = 25,000 - y
3% × x + 5% × y = $1100...... Equation 2
0.03x + 0.05y = 1100...... Equation 2
We substitute 25000 - y for x in Equation 2
0.03x + 0.05y = 1100
0.03(25000 - y) + 0.05y = 1100
750 - 0.03y + 0.05y = 1100
Collect like terms
- 0.03y + 0.05y = 1100 - 750
0.02y = 350
y = 350/0.02
y = 17500
Solving for x
x = 25,000 - y
x = 25000 - 17500
x = 7500
Therefore:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
The genetically altered spider that turned Peter Parker into Spider Man with a single bite was about 0.035 ounces. If Spider Man weighs roughly 185 pounds how many spiders does it take to have the same mass as Spider Man?
This is my first time asking a question so I hope yall can figure it out!
Answers
1036 genetically altered spiders
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A train traveling from Boston to New York moves at a constant speed. The train covers 260 miles in 3.25 hours. Write an equation that represents this relationship. Explain what your equation tells you about the train.
1. Set up the variables
2. Find the C.O.P
3. Create the equation.
Answers
HELP FAST DUE IN 10 minutes WILL MARK BRAINLIEST SOMEONE PLEASE HELP
Answers
Answer:
your answer is correct -7,-2
Step-by-step explanation:
Answer: the last one
Step-by-step explanation: the negitive sign gets switched
arrange the given decimal by ascending 2.0342, 2.3042, 2.3104, 2.4
Answers
Answer:
2.4, 2.3104, 2.3042, and 2.0342.
if you meant ascending, as in going upwards, just reverse what i wrote :)
Step-by-step explanation: