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Work Shown:
Expand out the left hand side
(x-k)(x-5)
x(x-5)-k(x-5)
x^2-5x-kx+5k
Note that the constant term here is 5k. Yes k seems like a variable, but it's actually a constant. Once we know k, we can replace it to get a fixed number. In this case, k = 4 since 5k = 5*4 = 20 to have it match with the 20 at the end of x^2-9x+20
For the x terms, we have -5x-kx = -5x-4x = -9x which matches with the middle term of x^2-9x+20
Therefore,
(x-k)(x-5) = x^2-9x+20
updates to
(x-4)(x-5) = x^2-9x+20
The -4 and -5 multiply to 20, and they also add to -9. This helps confirm we have the right k value.
quadrilateral A can be rotated into position of quadrilateral B. Estimate the angle of rotation
Answer:
The angle of rotation is 120°
Step-by-step explanation:
The given quadrilateral A can be taken as being upright form, however, by measurement, using a protractor application, the base of the quadrilateral is inclined at an angle of 13° to the horizontal, the positive direction of the x-axis, before rotation while the base of the B which is the image of A after rotation, is found to be at angle of 133° to the positive direction of the horizontal x-axis
Therefore, the angle of rotation = 133° - 13° = 120°
Khairul is x years old .Khairul`s uncle is 4 times as old as khairul will be in 5 years .Find the present age of Kharuls`s uncle. Plz some one answer this question will be very thankfull
Answer:
4x + 15
Step-by-step explanation:
Let the age of Khairul's uncle y.
From the question given above, the following were obtained:
Khairul's age = x years
In 5 years time:
Khairul's age = x + 5
Khairul's uncle age = y + 5
But from the question given above,
Khairul`s uncle will be 4 times as old as what khairul will be in 5 years. This can be written as follow:
y + 5 = 4(x + 5)
Clear bracket
y + 5 = 4x + 20
Subtract 5 from both side
y + 5 – 5 = 4x + 20 – 5
y = 4x + 15
Therefore, Khairul's uncle present age is 4x + 15
Answer:
y= 4x+15Step-by-step explanation:
This problem tests our ability to express word problem using equation
Given data
Khairul age = x years
let the uncle's age be y
in five years time, Khairul will be = x+5
in five years time, the uncle will be = y+5
hence Khairul uncle's age is
y= 4(x+5)
y=4(x+5)
y=4x+20
hence the uncles current age is
y+5=4x+20
y= 4x+20-5
y= 4x+15
Nela is filling her circular backyard swimming pool. The radius of the pool is 5 feet and the height is 6 feet. Which shows the correct substitution of these values into the formula for the volume of a cylinder?
Answer:
V=[tex]\pi[/tex]5^2*6
Step-by-step explanation:
If this makes it a little easier to read:
V = [tex]\pi[/tex] * 5^2 * 6
This is the answer when you solve it btw:
471.24
Also, who buys a swimming pool in the shape of a cylinder?
The volume of the cylinder is 471 square feet.
Given,
Nela is filling her circular backyard swimming pool.
The radius of the pool is 5 feet and the height is 6 feet.
We need to find the volume of the cylinder.
What is the volume of a cylinder?It is given by:
V = [tex]\pi[/tex] r² h.
Find the volume of the cylinder
V = [tex]\pi[/tex] r² h
We have,
h = 6 feet and r = 5 feet
V = 3.14 x 5² x 6
V = 3.14 x 25 x 6
V = 471 square feet.
Thus the volume of the cylinder is 471 square feet.
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Plzz look at this problem first person with correct answer will get branliest
Answer:
h, negative, negative
Step-by-step explanation:
What is the simplified form of 3a^2+6a+2b^2.
It would be greatly appreciated if anyone could solve this
Answer:
3 a (a + 2) + 2 b^2 or a (3 a + 6) + 2 b^2 or 3 (a + 1)^2 + 2 b^2 - 3
Step-by-step explanation:
HELP ME PLS LOVE U GUYS ,<322
Answer:
384
Step-by-step explanation:
Triangle sides: 12x10/2. Then multiply by four to get all four sides.
Bottom: 12x12.
Add together, get 384.
Please help and show work! Simplify each expression!
-7y - (-12y) =
15xy- (-6xy) =
-53va - 32va
Answer the expressions and show work please!
64 / 0.8 -5.6 / 7 =
Use the distributive property to simplify the expression. Show work!
-(x -3) + 6 =
Use order of operations to evaluate the expression.
Show work please!
6 + 3 (9) =
Evaluate the expressions if x = 10, y = 5, and z = 1.
x/y =
xy + z
5 (z - x)
Please answer all of these questions correctly and show work! I really need this! I'm putting 50 points and I'll choose brainliest!
Answer:
See below
Step-by-step explanation:
-7y - (-12y) = -7y + 12y = (-7+12)y = 5y 15xy- (-6xy) = 15xy + 6xy = (15+6)xy = 21xy-53va - 32va = (-53 -32)va = - 85va64 / 0.8 - 5.6 / 7 = 640/8 - 56/7×1/10 = 80 - 8/10 = 80 - 0.8 = 79.2-(x -3) + 6 = -x + 3 + 6 = -x + 96 + 3 (9) = 6 + 27 = 33Evaluate the expressions if x = 10, y = 5, and z = 1.
x/y = 10/5 = 2xy + z = 10×5 + 1 = 50 + 1 = 515 (z - x) = 5×(1 - 10) = 5×(-9) = -45Answer:
see below
Step-by-step explanation:
⇒ -7y - (-12y) = -7y + 12y = 5y
⇒ 15xy - (-6xy) = 15xy + 6xy = 21xy
⇒ -53va - 32va = - 85av
⇒ 64 / 0.8 -5.6 / 7
= 448 - 7.48
5*6
= 79.2
⇒ -(x -3) + 6
= -x + 3 + 6
= -x + 9
⇒ 6 + 3 (9)
= 6 + 27
= 33
Evaluate the expressions if x = 10, y = 5, and z = 1.
⇒ x/y = 10 / 5 = 2
⇒ xy + z = 10*5 + 1 = 51
⇒ 5 (z - x) = 5(1 - 10) = 5 - 50 = 45
3x - (2 - x) + 1
or
-5 + 4x + 4
Which is greater
Answer:
The first one is greater in value
Step-by-step explanation:
3 x 2 + x − 2 VS 4 x − 1
5. Which of the following describe the transformation rule (x, y) – (x + 1, - 2)
Move left two, down one
Move right one, down two
Move right two, down one
Move left two, up one
Answer:
shift to the right 1 unit, shift down 2 units
Step-by-step explanation:
because x+1 which mean shift to the right 1 unit as +1 is positive
down 2 because y is -2 as well as shift down 2 units
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The figure shows two triangles on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, 1 vertex B on ordered pair negative 3,1, and vertex C on ordered pair negative 4, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair 4, 4, vertex B prime on ordered pair 3, 4, and vertex C prime on ordered pair 4,1. What set of transformations is performed on triangle ABC to form triangle A′B′C′? (5 points) A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right A translation 5 units to the right, followed by a 270-degree counterclockwise rotation about the origin
Answer:
A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin
Step-by-step explanation:
The figure is obviously rotated 180°. If the rotation is first, the image would be in the 4th quadrant, where it would stay after translation downward.
If the translation is downward first, it would be in the 3rd quadrant, moving to the first quadrant after rotation by 180°. This is the apparent sequence of transformations:
translation down 5, rotation 180°
Answer:
translation down 5, rotation 180°
Step-by-step explanation:
will someone help with homework
Then Isabella filled 3 more pages with 36 photos which
she evenly divided between the pages. Is the number of
photos on one of these pages more or less than the
number on one page in the example problem? Explain.
Answer: Isabella has 4 more photos than the other photo albums. So, Isabella has more pages than the number on one page in the example problem.
Step-by-step explanation: 3 divided by 36 equals 12. 12 times 3 = 36
The number of photos on one of these pages is more than the number on one page in the example problem because Isabella's photo album contains 4 more photos.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been given that Isabella filled 3 more pages with 36 photos which she evenly divided between the pages.
As per the given condition,
36 divided by 3
⇒ 36 / 3 = 12
Here 12 times 3 is equal to 36
Therefore, Isabella's photo album contains 4 more photos. The number of pages in Isabella is greater than the number on one page in the example problem.
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Only #6ac please explain.
Answer:
Step-by-step explanation:
the percentage error: P
Approximate value=a 1.41
Exact = e(1.41421356 or √2)
p=[(e-a)/e]×100
p=[√2-1.41)/√2]×100
p=0.29794385 ≅0.30 or 30 percent when rounded to the nearest hundredth
b: p=[(π-3.14)/π]×100=0.05069573≅0.05 =5 percent when rounded to the nearest hundredth. in the pi case the percentage of error is small 5 % but in the case of square roots the percentage id higher(30%). in this case it is better to round the answer at the end of calculation( math problem)
c) sometimes when rounding square roots or irrational number like pi it is useful to use decimal approximate, in the case of pi the percentage rate was 5 percent which is very low comparing to the square root which is 30 %.
Alan's go kart travels 1750 feet per minute and Barry's go kart travels 21 miles per hour whose go kart travels faster round your answer to the nearest tenth
Answer:
Barry's kart is faster as he goes 21 Mph while Alan only goes 19.89 Mph.
Step-by-step explanation:
First to get this answer we need to convert feet per minute to miles per hour. So we multiple 1750 feet per minute by 60 to get a hour. This gets up 105000 total feet in a hour. Now we need to divide this by 5280, which is how long a mile is, to get 19.89 miles which is how many miles he travels in a hour making him travel 19.89 mph which is less than 21 making Barry faster.
The height of a triangle is 5 more than double the base length. If the height of the triangle is 74 mm, what is the base length of the triangle? If b represents the length of the base in mm, the equation that represents this problem is
Answer:
The base length of the triangle is 34.5 mm.
34.5×2+5=74.
Step-by-step explanation:
Subtract 5 from 74 then divide 2 from 69 and you will get 34.5.
Answer:
The first answer is 74=2b+5
And the second answer is 34.5
Step-by-step explanation:
Given the line segment , state the ratio of the segment partitions as. Be sure to reduce fractions
Answer/Step-by-step explanation:
Line segment AB consists of segment AC and segment CB.
AC = 7 cm
CB = 21 cm
The entire segment, AB = 21 + 7 = 28cm
The ratio of the segments partitions can be stated as follows:
Ratio of AC to CB = AC:CB = 7:21 = 1:3 = [tex] \frac{1}{3} [/tex]
AC is ¼ of AB [tex] (\frac{1}{1 + 3} = \frac{1}{4}) [/tex]
CB is ¾ of AB [tex] (\frac{3}{1 + 3} = \frac{3}{4}) [/tex]
-8=12-4x , help !!!!! algebra review and i dont know thisssssss
Answer:
[tex] \huge{ \fbox{ \sf{x = 5}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf \: - 8 = 12 - 4x}[/tex]
[tex] \text{Step \: 1 \: : Swap \: the \: sides \: of \: the \: equation}: [/tex]
[tex] \mapsto{ \sf{12 - 4x = - 8}}[/tex]
[tex] \text{Step \: 2 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}[/tex]
[tex] \mapsto{ \sf{ - 4x = - 8 - 12}}[/tex]
[tex] \text{Step \: 3 \: : Calculate}[/tex]
[tex] \text{ \underline{Remember ! }} : \sf{ \: The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}[/tex]
[tex] \mapsto{ \sf{ - 4x = - 20}}[/tex]
[tex] \text{Step \: 4 \: : Divide \: \: both \: sides \: by \: 4}[/tex]
[tex] \mapsto{ \sf{ \frac{ - 4x}{ - 4} = \frac{ - 20}{ - 4}}} [/tex]
[tex] \text{Step \: 5 \: : Calculate}[/tex]
[tex] \mapsto{ \sf{x = 5}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
Seismosaurus is the longest known dinosaur. It
measured 1800 inches. How far would 3000
Seismosaurus dinosaurs span if they were
placed head to tail? Write your answer in
scientific notation.
Answer:
5.4 * 10^6 in.
Step-by-step explanation:
3000 * 1800 in. = 5,400,000 in. = 5.4 * 10^6 in.
Find the area and perimeter of the figure below.
Answer:
Area: 6x+6
Perimiter: 4x+10
Step-by-step explanation: to find the area of something multiply the width times the height. to find the perimeter of something add each side together. use the order of operations (PEMDAS).
Area=3(2x+2)
Area=6x+6
Perimeter=3+3+(2x+2)+(2x+2)
Perimeter=6+4x+4
Perimeter=4x+10
Answer:
Area=length*width
A=3(2x+2)=6x+6 unit squar
Perimeter = 2l+2w
P=2(3)+2(2x+2)
P=6+4x+4
P=10+4x
Write a compound inequality that represents the sentence below.
A quantity x is either less than 2 or greater than 16.
Answer:
2<x>16
Step-by-step explanation:
Evaluate this question (2/5^3)
Answer:
The answer will be 18/125 and the decimal form is 0.064Step-by-step explanation:
The newest model of a phone comes with several customizable options, including 4 different sizes, 3 different storage capacities, and 6 different colors. If Gael wants to buy 1 of the 2 largest sizes of phone, how many possible combinations of options can he choose from?
GHKL is a rectangle. which of the following is a false statement?
Answer:
The false statement is ∠1 ≅ ∠2.
Help ASAP !!!!!!!!!!!!!!!!!!!
Answer:
im lik 999999999
percent sure its 2
Step-by-step explanation:
Answer:
divide r by s and multiply by 3 :3 :8 xD
Step-by-step explanation:
Jin soccer team has four coaches and 22 player and his twin sisters team has to coaches and 11 players is the relationship between the number of players and coaches is proportional throughout the league which ordered pair could represent the total number of coaches and players in the entire league
Answer:
26 coaches and 143 players
Step-by-step explanation:
11/2=5.5
22/4=5.5
143/26=5.5
Answer:
26 coaches and 143 players
Step-by-step explanation:
Is due today Help!!! Algebra ll
[tex]-7x-9y=-8[/tex]
[tex]5x+6y=4[/tex]
[tex]-35x-45y=-40[/tex]
[tex]35x+42y=28[/tex]
[tex]-3y=-12[/tex]
[tex]y=4[/tex]
[tex]5x+6(4)=4[/tex]
[tex]5x+24=4[/tex]
[tex]5x=-20[/tex]
[tex]x=-4[/tex]
[tex](-4,4)[/tex]
Hope this helps.
頑張って!
this is due tm please help
Answer:
25. No slope
Step-by-step explanation:
25. Y2 - Y1 / X2 - X1
= -8 - (-3) / 9 - 9
= -5 / 0
= no slope; straight line
Use this formula (Y2 - Y1 / X2 - X1) for each ques.
someone please help me
Which answer describes the type of numbers that are dense? whole numbers and integers whole numbers but not integers rational numbers and irrational numbers rational numbers but not irrational numbers
Answer -rational numbers and irrational numbers
Using number sets, it is found that the set of dense numbers is composed of rational and irrational numbers. Therefore, option C is the correct answer.
From options, we need to check which answer describes the type of numbers that are dense.
What are numbers?Numbers are an integral part of our everyday lives, right from the number of hours we sleep at night to the number of rounds we run around the racing track and much more. In math, numbers can be even and odd numbers, prime and composite numbers, decimals, fractions, rational and irrational numbers, natural numbers, integers, real numbers, rational numbers, irrational numbers, and whole numbers.
Numbers can be classified as:
Whole numbers: All positive numbers and 0, so: {0,1,2,...}
Integer numbers: Positive or negative, not decimal so: {...,-2,-1,0,1,2,....}
Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459 (4459 repeating is the pattern).
Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339, which can be approximated to the rational 0.1.
Real numbers: Rational plus irrational.
A subset is dense of the rational numbers if all numbers can be approximated to rational numbers, and thus, rational and irrational numbers are dense.
Therefore, option C is the correct answer.
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