Answer:
The factors that compose the LCF of the difference are :
2x [tex]\huge\checkmark[/tex]
(x - 2) [tex]\huge\checkmark[/tex]
(x + 6) [tex]\huge\checkmark[/tex]
Step-by-step explanation:
x² + 4x - 12 = x² - 2x + 2x + 4x - 12
= x² - 2x + (6x - 12)
= x(x - 2) + 6(x - 2)
= (x - 2)(x + 6)
2x² - 4x = 2x(x - 2)
We get
2x² - 4x = 2x(x - 2)
x² + 4x - 12 = (x - 2)(x + 6)
then
The least common denominator is 2x(x - 2)(x + 6)
Answer:
2nd, 3rd and 6th
Step-by-step explanation:
Factorise the denominators of both fractions
x² + 4x - 12 = (x + 6)(x - 2)
2x² - 4x = 2x(x - 2)
The least common denominator is then
2x(x - 2)(x + 6)
how would you change these equaions to y=mx+b form?
7x + 9y = 1
14x + 18y = 2
Answer:y=-7/9x+1/9 and y= -7/9x + 1/9
Step-by-step explanation:
I NEED HELPP PLEASE
Answer:
√17
Hope it helps.......
The decimal 132.64 written in expanded form is ______.
difference of two terms 4x-8 to product of two factors
Answer:
4 × (x - 2)
Step-by-step explanation:
we want to transform 4x - 8 from a difference of two terms into a product of two factors :
4x - 8 is a the difference of the terms 4x and 8
4x - 8 = 4x - 4×2 = 4 × (x - 2)
4 × (x - 2) is the product of the two terms 4 and x - 4
what is the mean of 25 31 12 38 12 15
Answer:
22.1666666667 ~ 22.17 (This should be rounded)
Step-by-step explanation:
The mean formula is to add all the numbers and then divide by the quantity or how many numbers were listed.
25+31+12+38+12+15/6 = mean
All the numbers added up should equal 133
You need to divide the sum by 6 since that is how many numbers that are in your data set.
The Mean of the Data set is 22.1666666667 which is approximately 22.17
What is (3^2)^4? Pls help will give crown if explanation is fair
Answer:
answer is the frist picture
Step-by-step explanation:
Ursula and yi share a submarine sandwich Ursula eats 2/8 of the sandwich yi eats 3/8 of the sandwich how many of the sandwich do two friends eat
Answer:
Step-by-step explanation:
the 2 friend eat 5/8
An aquarium holds 56. 25 gallons of water. It has a length of 2 feet and a height of 2. 5 feet. What is the volume of the aquarium?
I need help plsss ..............
PLEASE PLEASE PLEASE HELP ME WITH THIS QUICK QUESTION!!
Answer: the y intercept is 4 and there is no x intercept
Step-by-step explanation: the intercept is where on the line it connects, on the y line, it touches 4 and it doesnt touch the x line
how do i find the area of parts of circles?
Answer:
Explanation below
Step-by-step explanation:
The equation for the area of a circle is pir^2
To find the area of parts of a circle you would do as the following examples:
the area of half a circle is (1/2)(pir^2)
the area of a quarter of a circle is (1/4)(pir^2)
the area of a third of a circle is (1/3)(pir^2)
the area of a tenth of a circle is (1/10)(pir^2)
If the walls of a square room require 480 ft^2 of paint and the floor to ceiling height is 10
ft, what are the dimensions of the room?
After find the area of one side, we proceeded to find the length and with as
Length = 10.95 feet width = 10.95 feet
Mensuration of ShapesGiven Data
Height of the Room = 10 feetArea of 4 sides of the room = 480 ft^2If the area of 4 side = 480 ft^2
Area of 1 side will be = x
Cross multiply we have
x = 480/4
x = 120 ft^2
Let us find the length and width of the room
x = √120
x = 10.95 feet
hence Length = 10.95 feet
width = 10.95 feet
Height = 10 feet
Learn more about area of shapes here:
https://brainly.com/question/2607596
Please Help! will give brainlest!
Step-by-step explanation:
sin²zeta + cos²zeta = 1 .....1
sin²zeta - 5coszeta - 5 = 0 .....2
.......1 - .......2
cos²zeta + 5coszeta = 1
I only know just this ....
jack and his 3 friends each ate 3pops on Monday if they all at the same amount the rest of the week how many pops could they eat in 3 weeks??
Answer:
216pops.
Step-by-step explanation:
If Jack and his 3 friends(4people total) ate 3 pops on Monday and ate 3pops for the rest of the week, that'd be 12 pops 1 day, and 12x6 is 72 then you have to multiple 72 by 3 and you get 216pops in 3weeks
PLEASE HELP! MATH QUESTION
Answer:
the midline is at f(x)=0
it takes the ball 2 s to complete a cycle
Answer number 5 pleaseee
Answer: $17.55
Step-by-step explanation:
We will multiply the bill by 117% to account for the original amount and the tip being given.
117% / 100 -> 1.17
$15 * 1.17 = $17.55
Sarah should leave $17.55 in total.
An=6•(-1/4)^(n-1). The app won’t scan this problem please help
Determine the type of triangle that is drawn below.
Answer:
equalateral
Step-by-step explanation:
hope this helps
pls help bru i need help
Answer: I beleive that the systems of transformation are that
Figure JKLM to Figure J' K' L' M' is a Rotation
Figure J' K' L' M' to Figure J" K" L" M" is a Dilation
Step-by-step explanation:
100 points
The ceiling of Stacy's living room is a square that is 33 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 33 ft, but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)
Answer:
47
Step-by-step explanation:
a)
a^2 + b^2 = c^2
33^2+33^2=c^2
2178=c^2
c=(nearest is 47)
b)
If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse. sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.
The length of the diagonal of Stacy's ceiling is 46,7.
What is the Pythagoras theorem?Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle.
The ceiling of Stacy's living room is a square that is 33 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 33 ft, but she doesn't know how long it is.
By using Pythagoras theorem;
[tex]\rm Hypotenuse ^2=33^2+33^2\\\\ Hypotenuse ^2=1089+1089\\\\ Hypotenuse ^2=2178\\\\ Hypotenuse =46.9\\\\[/tex]
By using trigonometry;
[tex]\rm Cos45=\dfrac{33}{d}\\\\d =\dfrac{33}{cos45}\\\\d=46.7[/tex]
Hence, the length of the diagonal of Stacy's ceiling is 46,7.
learn more about the Pythagoras theorem here;
https://brainly.com/question/343682
#SPJ2
1. Mr. Samuel had 13 notes in his wallet. They consist of $1. $5 and $10 notes. The total amount of the notes adds up to $93. How many $10 notes are there in his wallet?
Answer:
8 $10 notes
Step-by-step explanation:
I started by working it backwards. $93-$3 equals $90. So we have three of our 13 notes. We need ten more. Well the most $10 notes we can have is 8. if we had 8 $10 notes that would give us $80. $90-$80=10. We can take ten and divide it by five so we have 2 $5 notes.
So in total he would have 8 $10 notes, 2 $5 notes, and $3 one dollar notes which adds up to 13 notes
please find the area of the shaded region
Answer:
30.9 yd^2
Step-by-step explanation:
Area of square - area of circle = shaded area
12 * 12 - pi (6)^2 = shaded area
the picture is below
Answer:
-7j - k - 1 **Answer Choice B**
Step-by-step explanation:
10k + 17 - 7j - 18 - 11k
You need to find a simplified equation that is equivalent to this.
First, combine like terms (meaning coefficients with coefficients and numbers with numbers).
10k -11k + 17 - 18 -7j
-k - 1 - 7j
Rewritten:
-7j - k - 1
Answer Choice B is correct.
4.
Find the value of h, rounded to the nearest tenth.
6.7
7.5
6.3
6.5
Answer:
6.7.
Step-by-step explanation:
sin 48 = 5/h
h * sin 48 = 5
h = 5 / sin 48
= 6.73
What is the total amount of screen that Alice will need for her habitat?
Give an exact answer (do not round).
Answer:
SA = 3.04 m²
Step-by-step explanation:
→ Find: Surface Area (SA)
SOLUTION:
→ SA = 2(1x0.8) + 2(0.4x0.8) + 2(1x0.4)
→ SA = 1.6 + 0.64 + 0.8
↓
SA = 3.04 m²
Select the correct answer.
Simplify the expression.
Answer:
Option D :- [tex] \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }[/tex]
Step-by-step explanation:
[tex] \sf \: 3x\sqrt[3]{648 {x}^{4} {y}^{8} }[/tex]
transform the equation
[tex] \rightarrow \sf \: 3x\sqrt[3]{ {6}^{3} \times {3x}^{2} \times {xy}^{6} \times {y}^{2} }[/tex]
rewrite the expression
[tex] \rightarrow \sf \: 3x \times \sqrt[3]{ {6}^{3}} \times\sqrt[3]{ {3x}^{2}} \times \sqrt[3]{ {xy}^{6} } \times \sqrt[3]{{y}^{2} }[/tex]
Simplify the radical expression
[tex] \rightarrow \sf \: 3x \times {6xy}^{2} \sqrt[3]{3xy {}^{2} }[/tex]
Multiply
[tex] \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }[/tex]
Answer: Option D :-
Step-by-step explanation:
transform the equation
rewrite the expression
Simplify the radical expression
Multiply
Step-by-step explanation:
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
A jar has 28 cherry-flavored candies, 18 strawberry-flavored candies, and 20 orange-flavored candies. If a piece of candy is taken from the jar at random, what is the probability that it will be strawberry-flavored candy?
Group of answer choices
10/33
1/20
14/33
3/11
Answer:
3/11
Step-by-step explanation:
You add up all of the candies so 20+19+28 which is 66
18 is the number of strawberry candies so it becomes 18 over 66, 18/66
Symplify 18/66 and it becomes 3/11
9. Find the area of the shaded segment. Round your answer to the nearest tenth. (1 point)
120°
6 cm
0 7.9 cm
O 120 cm
O 22.1 cm
O 36.0 cm
Answer: 22.1 cm^2
Step-by-step explanation:
I just took the practice :)
Pls help ..
No trolls pls I need this-
Answer:
1800 square feet
Step-by-step explanation:
Area of composite figure
Figure 1:
length = 27 ft
Width = 24 ft
Area of figure1 = length * width
= 27 * 24
= 648 square feet
Area of figure II:
length = 27 ft
Widht = 32 ft
Area of figure II = 27 *32
= 864 square feet
Area of figure III:
base = 18 ft
height = 32 ft
[tex]\text{Area of triangle (figure III) = $\dfrac{1}{2}*base*height$}\\\\[/tex]
[tex]= \dfrac{1}{2}*18*32\\\\= 288 \ square \ feet[/tex]
Area of composit figure = 648 + 864 + 288
= 1800 square feet
Jonny's bedroom has an area of 90 square feet. What might the length and width of his bedroom be
Answer: 30 on both.
Step-by-step explanation: 30 because 3x3 is 9 so then add a zero
Answer: Area is length multiplied by width.
90=10×9
Step-by-step explanation: The sides will be multiplied to get the area.
10 And 9 are the sides