Answer:
(x-y+z)(x-y-z)
Given (x²-2xy+y²) - z²
= (x-y)² - z²
/* By algebraic identity
a²-2ab+b² = (a-b)² */
=[(x-y)+z][(x-y)-z]
/* a²-b² = (a+b)(a-b) */
= (x-y+z)(x-y-z)
Therefore,
(x²-2xy+y²)-z² =(x-y+z)(x-y-z)
Step-by-step explanation:
x
2
y
2
=x×x×y×y
xy
2
=x×y×y
h.c.f=xy
2
Find the slope of the line that passes through (2, 18) and (9, 9).
Answer:
m=-9/7
Step-by-step explanation:
A can contains 1/2 pint of paint. If we use 2/3 of the paint, how much paint is left in the can?
A. 1/2
B. 1/3
C. 2/3
D. 1/6
E. 5/6
Answer:
d
Step-by-step explanation:
Quantity of paint used = (2/3) of (1/2)
[tex]=\frac{2}{3}*\frac{1}{2}\\\\=\frac{1}{3}[/tex]
Quantity left in the can = [tex]\frac{1}{2}-\frac{1}{3}[/tex]
[tex]= \frac{1*3}{2*3}-\frac{1*2}{3*2}\\\\=\frac{3}{6}-\frac{2}{6}\\\\=\frac{1}{6}[/tex]
Geometry, please answer question ASAP
Answer:
m<D = 170°
Step-by-step explanation:
In a pentagon, the angles add up to 540°. This means the sum of <A, <B, <C, <D, and <E add up to that, and we can write an equation:
m<A + m<B + m<C + m<D + m<E = 540°
We are already given the measures of all the angles except D, so we can substitute them in:
87° + 125° + 63° + m<D + 95° = 540°
Now, we can simplify and solve for <D:
m<D + 370° = 540°
m<D = 170°
Hello! Hello ! guys. or any genius of math. can you help me on this math problems. this question is out of my answer.
could you help me.
if your answer is correct there is a big changes to get brain list answer and 2 followers from my two accounts.
don't need to follow back.
Answer:
we have to convert that question centimeters to meters
Step-by-step explanation:
I think all are going to be less as you change all of them.
helppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = -1
Step-by-step explanation:
14x + 2 = 9x -3
Transpose
14x -9x = -3 -2
5x = -5
x= -5/5
x = -1
Answer:
x = -1
Step-by-step explanation:
[tex]14x+2=9x-3\\\\5x+2=-3\\\\5x=-5\\\\x=-1[/tex]
The hypotenuse of a right triangle measures nem and one of its legs measures o em.
Mnd the measure of the other leg. If necessary, round to the nearest tenth.
Sun
attempt to
Using Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=11^2-9^2[/tex]
[tex]\\ \sf\longmapsto P^2=121-81[/tex]
[tex]\\ \sf\longmapsto P^2=40[/tex]
[tex]\\ \sf\longmapsto P=\sqrt{40}[/tex]
[tex]\\ \sf\longmapsto P=6.2cm[/tex]
Step-by-step explanation:
Given,
Hypotenuse = 11 cm
Base (One of the given leg) = 9 cm
Therefore,
According to Pythagoras Theorem,
[tex] {base}^{2} + {height}^{2} = {hypotenuse}^{2} [/tex]
[tex] = > {(9)}^{2} + {height}^{2} = {(11)}^{2} [/tex]
[tex] = > {height}^{2} = {(11)}^{2} - {(9)}^{2} [/tex]
[tex] = > {height}^{2} = 121 - 81[/tex]
[tex] = > {height}^{2} = 4 0[/tex]
[tex] = > height = \sqrt{40} [/tex]
=> height = 6.3245553203
When rounded to nearest tenth,
=> height = 6.3
Hence,
Required length of other leg is 6.3 (Ans)
Identify the area of sector MOR in terms of π and rounded to the nearest hundredth.
Answer:
8.98π = 28.22 in^2.
Step-by-step explanation:
Area of the whole circle = πr^2 = 7^2 * π
= 49π
So the area of sector MOR
= (66/360) * 49π
= 8.98π = 28.22 in^2.
problem that would represent
an elevator starts at street
level (main lobby) goes up 6
floors and then back down 8
floors to the parking garage.
1 + 7 - 8 = 0
0 + 8 + (-2) = 6
1 + 6 + (-8) = -1
0 + 6 + (-8) = -2
[tex]\\ \sf \longmapsto 1+6+(-8)[/tex]
Downward motion noted as negative and upward is positive.Lobby will be 1[tex]\\ \sf \longmapsto 1+6+(-8)[/tex]
[tex]\\ \sf \longmapsto 1+6-8[/tex]
[tex]\\ \sf \longmapsto 7-8[/tex]
[tex]\\ \sf \longmapsto -1[/tex]
option c is correct
at the movie theatre admission is $6.30 an adult admission is $9.60. on thursday twice as many adult tickets as child tickets were sold for a total sale of $535.50 how many child tickets were solf that day
Answer:
number of child tickets sold on saturday is 21
number of adult tickets sold on saturday is 42
Step-by-step explanation:
Let's assume
number of child tickets sold on saturday is x
number of adult tickets sold on saturday is y
On saturday, twice as many adult tickets as child tickets were sold
so, we get
child admission is $6.30 and adult admission is $9.60
a total sales of $535.50
we get
now, we can plug y=2x
now, we can solve for x
now, we can find y
so,
number of child tickets sold on saturday is 21
number of adult tickets sold on saturday is 42.........Answer
A board is 10.17 feet long. Sandy needs
to cut the board into 3 equal sections.
How long will each section be?
Answer:
3.39
Step-by-step explanation:
divide 10.17 by 3 to get the size of each section
Please help me. if I don’t complete my course I’m getting sent back to my parents house, and I need to complete this course
This is similar polygons, and the lessons I get don’t help
Please help I will give you Brainlyest
Answer:
a. You can find the value of 4w by using inverse operations. Subtract 8 from both sides in the equation 4w+8=32. You will get 4w=24. Now, you divide 4 by both sides to get w by itself. You will soon get 6. Now multiply 6 and 4, coming to the conclusion that 4w=24.
b. To find the value of w using the value of 4w, which is 24, simply use inverse operations once more. Using the equation 4w=24, we can use division and divide 4 by both sides, leaving us with w by itself. We end up with w=6. The value of w is 6.
c. You can check if the value of w is correct by plugging in your number back into the equation. Our equation is 4w+8=32, so we replace w with 6, the value for w that we found. We end up with 4(6)+8=32. Multiply 4 by 6, ending up with 24, then add it to 8, coming up with 32. 4(6)+8=32, which shows us that 6 is the correct value for w.
Factor the expression
Thank you so muchh
Answer:
(x+8)(x-5)
Step-by-step explanation:
x^2 +3x-40
What two numbers multiply to -40 and add to 3
8 * -5 = -40
8+-5 = 3
(x+8)(x-5)
Answer:
(x + 8)(x - 5)
Brainliest, please!
Step-by-step explanation:
(x + )(x - )
Factors of 40: 1 and 40, 2 and 20, 4 and 10, 5 and 8
(x + 8)(x -5)
(y+2)(y^2-2y+4) ..........................
You can use the distributive property to multiply:
( y )( y² - 2y + 4 ) + ( 2 )( y² - 2y + 4) =
y³ - 2y² + 4y + 2y² - 4y + 8 =
y³ + 8
The -2y² and the 2y² cancel each other, and the 4y and -4y cancel each other out!
The roof rafter of a house has been raised to a height of 13 yards at the ridge. Half of the length of the run measures 9 yards. Find
the length of the rafter. Round to the nearest 100th.
Answer:
15.81 = ?
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2 + 13^2 = ?^2
81 +169 = ?^2
250 = ?^2
Taking the square root of each side
sqrt(250) =?
15.8113883= ?
To the nearest 100th
15.81 = ?
Answer:
Using Pythagorean theorem:- [tex]a^{2} +b^{2} =c^{2}[/tex]
a= 13
b= 9
c= ? ( length)
[tex]13^{2} +9^{2} =?^{2}[/tex]
[tex]13^{2} =169[/tex]
[tex]9^{2} =81[/tex]
[tex]169+81=?^{2}[/tex]
[tex]250=?^{2}[/tex]
[tex]\sqrt{250}=15.811[/tex]
[tex]?=15.81[/tex]
OAmalOHopeO
Can i please get some help im pretty desperate and will give brainiest to first answer with some steps, just try your best please
Answer:
To calculate the vertex you can use the vertex form ( i searched about the vertex and found it) but i don't know how to use it so i used another method.
The vertex is where the function inverts (y values) so it is going to be or a maximum or a minimum of the function. To calculate the min/max you derivate the function and then equal it to zero.
1) y = -3x^2 -12x -10
the derivative of y is y' = -6x -12 = -6(x+2)
y'=0 <=> -6(x+2) = 0 <=> x+2=0 <=> x=-2
y(-2) = -3(-2)^2 -12*(-2) -10 = 2
So the vertex is the point (-2,2) .
Because the slope of the equation is negative that means that the vertex is going to be the maximum , so the maximum is (-2,2) .
To find another 4 points you just have to pick values of x and replace them in the equation y = -3x^2 -12x -10 to find y.
2) y = -2x^2 -12x -16
Do the same thing we did in point 1
y'= -4x-12 = -4(x+3)
y'=0 <=> -4(x+3) = 0 <=> x+3=0 <=> x=-3
y(-3) = -2(-3)^2 -12*(-3) -16 = 2
So the vertex is the point (-3,2) .
If C.P. = Rs. 480, S.P. =Rs.528 find profit and profit percent
In this question first you should find profit amount by using formula and you should use profit amount in profit percentage formula then you should calculate it
Is 30 inches greater than 3 feet
Answer:
1 feet = 12 inch
so, 3 feet = 36 feet
therefore, 3 feet is greater than 30 inch
Answer:
Yes, 3o inches is greater than 3 feet
Step-by-step explanation:
What are the solutions to this quadratic equation? -2x2+x+4=0
Answer:
=1±33√4
Step-by-step explanation:
Answer:
[tex]x =\frac{1+/-\sqrt{33} }{4}[/tex]
Step-by-step explanation:
It wouldn't let me put the symbol in the equation but +/- is just the same thing as ±
This answer is correct on edmentum/plato
Graph the function y= 3/2x^3. Plot five points on the graph of the function: one point with x = 0, two points with negative x-values, and two points with positive x-values.
Answer:
(a square +7a+12) ÷(a+3)
16. What is the measure of ZAOB?
Help! ASAP. The question is in the attachment below
Answer:
Step-by-step explanation:
The most obvious answer is the line y = 1.
Identify the compositions performed on XYZ to map onto X"Y"Z".
A) Translation: (x,y) - (x - 2, y + 1); 180° rotation about the origin
B) Translation: (x,y) - (x + 2, y - 1); 180° rotation about the origin
C) Reflection along the line y = x; 180° rotation about the origin
D) Reflection along the y-axis; 180° rotation about the origin
The correct answer is A) 180° rotation about the origin, followed by a translation (x, y) → (x - 2, y + 1).B) 180° rotation about the origin, followed by a translation (x, y) → (x + 2, y - 1).C) Reflection along the line y = x, followed by a 180° rotation about the origin.D) Reflection along the y-axis, followed by a 180° rotation about the origin.
To identify the compositions of transformations that map XYZ onto X"Y"Z", we need to analyze each option and determine the combination of transformations.
A) Translation: (x,y) - (x - 2, y + 1); 180° rotation about the origin
This option consists of a translation and a 180° rotation about the origin. To identify the composition, we perform the operations in reverse order. First, we apply the 180° rotation, and then the translation. Therefore, the composition of transformations for option A is a 180° rotation about the origin followed by a translation of (x, y) → (x - 2, y + 1).
B) Translation: (x,y) - (x + 2, y - 1); 180° rotation about the origin
Similar to option A, this option involves a translation and a 180° rotation. Again, we reverse the order of operations to determine the composition. So, the composition of transformations for option B is a 180° rotation about the origin followed by a translation of (x, y) → (x + 2, y - 1).
C) Reflection along the line y = x; 180° rotation about the origin
This option includes a reflection along the line y = x and a 180° rotation. The order of operations is important, so we perform the reflection first and then the rotation. Hence, the composition of transformations for option C is a reflection along the line y = x followed by a 180° rotation about the origin.
D) Reflection along the y-axis; 180° rotation about the origin
Option D involves a reflection along the y-axis and a 180° rotation. As with the previous options, we need to reverse the order. Thus, the composition of transformations for option D is a reflection along the y-axis followed by a 180° rotation about the origin.
In summary:
A) Composition: 180° rotation about the origin, then a translation (x, y) → (x - 2, y + 1).
B) Composition: 180° rotation about the origin, then a translation (x, y) → (x + 2, y - 1).
C) Composition: Reflection along the line y = x, then a 180° rotation about the origin.
D) Composition: Reflection along the y-axis, then a 180° rotation about the origin.
Learn more about rotation here:
https://brainly.com/question/2078551
#SPJ8
Gasoline is a non-polar liquid that will float on water. 400 grams of gasoline is spilled into a puddle of water. If the density of gasoline is 0.665 g/mL, what volume of gasoline is spilled?
Step-by-step explanation:
here's the answer to your question
I need help with 20-26 evens
this is simplify? I think it's simplify so I can give you an answer
Bobby think that 5^2 = 10. What is wrong with this answer
Answer:
see below
Step-by-step explanation:
5^2 means 5*5 not 5*2
5^2 = 5*5 = 25 not 10
Answer:
5*5 = 25
bobby mistake is doing 5*2 = 10
Step-by-step explanation:
From 38 to 316 inclusive,how many integers can be found that are multiples of 12? 20 Points!
Answer:
The first multiple of 12 after 38 is 48.
The first multiple of 12 before 316 is 312.
So we have, 48, 60, 72... 312.
Divide by 12...
4, 5, 6, ... 26
Subtract 3 from each term to get... 1, 2, 3... 23
So there are 23 terms!
Hope this helps!
VW = 40 in. The radius of the circle is 25 inches. Find
the length of SP.
С.
P
T
V
W
Answer:
I think The choose C. 15
Step-by-step explanation:
wv=40
vG=20 =ST
PT=25
ST²+SP²=PT² —> 20²+SP²=25 —> 400+SP²=625
PS²=225 —> SP=15 in
I hope I helped you^_^
The value of SP is 15 inch.
What is Pythagoras theorem?The well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Given:
VW=40
VG=20 =ST
and, PT=25
Now, using pythagoras theorem
ST²+SP²=PT²
20²+SP²=25
400+SP²=625
PS²=225
SP=15 in
Learn more about pythagoras theorem here:
https://brainly.com/question/343682
#SPJ5
find the surface area of the cylinder and round to the nearest tenth
Answer: A = 833.66 in^2
Step-by-step explanation:
Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2
Height of the cylinder = 12 in
Circumference of the base = (2)(pi)(r) = 44in
Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2
b If a and a+10 are a pair paix of complementary angles. Find them.
Answer:
[tex]\sf{}[/tex]
Step-by-step explanation:
a+10 = 90
a = 90-10
a = 80
therefore a = b
b = 80
Answer:
Angles are : 40 , 50
Step-by-step explanation:
Sum of complementary angles are 90
a + a + 10 = 90
2a + 10 = 90
2a = 90 - 10
2a = 80
a = 80/2
a = 40
a + 10 = 40 + 10 = 50
Angles are : 40 , 50
