Answer:
Co-efficients
Step-by-step explanation:
there is a number and variable.
Tính :
a) (a+b+c)^2
b) (a-b-c)^2
c) (a+b-c)^2
d) (a-b+c)^2
Answer:
a.) a² + b² + c ² + 2ab + 2ac + 2bc
b.) a² + b² + c² - 2ab - 2 ac + 2bc
c ) a² + b² + c² + 2ab - 2ac - 2bc
d.) a² + b² + c² - 2ab + 2ac - 2bc
Step-by-step explanation:
Use ( a + b + c )² = a² + b² + c² + 2 × ab + 2 × ac + 2 × bc to expand all these expressiona) ( a + b + c )²
= a² + b² + c² + 2 × ab + 2 × ac + 2 × bc
= a² + b² + c ² + 2ab + 2ac + 2bc
b.) ( a - b - c )
= a² + ( - b )² + ( - c)² + 2a ( -b ) + 2a(-c) + 2(-b)(-c)
= a² + b² + c² - 2ab - 2 ac + 2bc
c.) ( a + b - c )²
= a² + b² + ( -c)² + 2ab + 2a ( - c) + 2 b( -c)
= a² + b² + c² + 2ab - 2ac - 2bc
d.) (a - b + c ) ²
= a² + ( -b)² + c² + 2a(-b) + 2ac + 2c( -b)
= a² + b² + c² - 2ab + 2ac - 2bc
Solve for x.
6(x - 2) = 4
a) x = 2 1/3
b) x = 1 1/3
c) x = 1
Answer:
x = 2 2/3
Step-by-step explanation:
6(x - 2) = 4
Distribute
6x - 12 = 4
Add 12 to each side
6x-12+12 = 4+12
6x = 16
Divide by 6
6x/6 = 16/6
x = 8/3
x = 2 2/3
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x = 2 \frac{2}{3}}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]6 \: ( \: x - 2 \: ) = 4[/tex]
➼[tex] \: 6x - 12 = 4[/tex]
➼[tex] \: 6x = 4 + 12[/tex]
➼[tex] \: 6x = 16[/tex]
➼[tex] \: x = \frac{16}{6} [/tex]
➼[tex] \: x = \frac{8}{3} [/tex]
➼[tex]\:x = 2 \frac{2}{3} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]6 \: ( \: x - 2 \: ) = 4[/tex]
➺[tex]\:6 \: ( \: 2 \frac{2}{3} - 2 \: ) = 4[/tex]
➺[tex] \: 6( \: \frac{8}{3} - 2 \: ) = 4[/tex]
➺[tex] \: 6 \: ( \: \frac{8 - 6}{3} \: ) = 4[/tex]
➺[tex] \: 6 \: ( \: \frac{2}{3} \: ) = 4[/tex]
➺[tex] \: 6 \times 0.667 = 4[/tex]
➺[tex] \: 4.002 = 4[/tex]
➺[tex] \: 4 = 4[/tex]
➺[tex] \: L.H.S.=R. H. S[/tex]
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Find the point that partitions a segment AB where A (-2, -6) and B (6, 12) into two equal parts.
The midpoint for any segment/line when you're given the start and end point of the line as A=(x1,y1) and B=(x2,y2) is
( ((x1 + x2) /2), ((y1 + y2)/2) )
So here the point is
( (-2+6)/2), (-6+12)/2) )
= (2, 3)
So it's the second option
Consider angle θ in Quadrant II, where cosθ=−12/13. What is the value of sinθ?
Answer:
The value of sin theta is 5/13
Step-by-step explanation:
In the second quadrant, sin is positive and cos is negative
Cos theta = -12/13 = adjacent/hypotenuse
Sin theta = opposite/hypotenuse
opposite = sqrt(hyp² - adj²) = sqrt (13² - 12²) = sqrt (169 - 144) = sqrt (25) = 5
Sin theta = opposite/hypotenuse = 5/13
calculate the percentage increase if the price of a $30 train ticket is increased to $42
Answer:
40 % increase
Step-by-step explanation:
New price - original price
42-30 = 12
Divide by original price
12/30 = .4
Change to a percent
.4 * 100
40%
40 % increase
Write 2.073 in expanded form.
Answer:
2 + 0.0 + 0.07 + 0.003
Step-by-step explanation:
Pretty much just adding the whole number and decimal.
2 (whole number) + 0.073
Expanded forms require showing which place the numbers are in (i.e. 0.07 is the hundredths place)
The function of f is defined by f(x)=x²-2x-24, find the range of f
Answer:
[-25, ∞) , {y|y ≥ -25}
Step-by-step explanation:
^^^
Is y = 3 a possible solution to the following system of equations? Explain why or why not.
X + 2y + z = 28
3x + 3z = 60
O y = 3 is not possible because when 3 is submitted in for y in the first equation the value for x + z is not 20.
O y = 3 is possible because when 3 is substituted in for y in the first equation the value for x + 2 times 3 is 60.
Oy - 3 is possible because there is no y term in the second equation so y can be any value.
Oy - 3 is not possible because there is no y term in the second equation making it a no solution situation
No
Step-by-step explanation:
y = 3 is not possible because when 3 is submitted in for y in the first equation the value for x + z is not 20.
How do I solve this please? Can SOMEONE please help me this and the ones Iposted on my page.
Answer: [tex]\dfrac{15}{64}[/tex]
Step-by-step explanation:
Given
Inside radius of figure [tex]r_1=\frac{14}{2}=7\ ft[/tex]
Outside radius of figure [tex]r_2=\frac{16}{2}=8\ ft[/tex]
Area of outside region is [tex]A_1=\pi (8^2)[/tex]
Area of inside region [tex]A_2=\pi (7)^2[/tex]
Area of shaded region [tex]A_1-A_2[/tex]
Probability that point lies inside the shaded region is
[tex]\Rightarrow P=\dfrac{A_1-A_2}{A_1}\\\\\Rightarrow P=\dfrac{\pi (8^2-7^2)}{\pi 8^2}\\\\\Rightarrow P=\dfrac{64-49}{64}\\\\\Rightarrow P=\dfrac{15}{64}[/tex]
Which of the following best describes the term postulate?
A. A statement that is not officially defined but that is understood to be common sense
B. A precise statement of the qualities of an idea, object, or process
C. A logical arrangement of deductions that leads to the conclusion that a statement is always true
D. A statement that is assumed to be true without proof
Answer:
D. A statement that is assumed to be true without proof
Step-by-step explanation:
What are the more appropriate measures of center and spread for this data set?
Select two choices: one for the center and one for the spread.
A. Better measure of spread: the standard deviation
B. Better measure of center: the mean
C. Better measure of center: the median Pan
D. Better measure of spread: the interquartile range (IQR)
Answer:
C. Better measure of center: the median
D. Better measure of spread: the Interquartile range
which of the following is most likely the next step in the series?
Answer:
D
Step-by-step explanation:
The table shows the number of tickets sold and the profit made at a fundraiser.
Tickets Sold
Profit
2
$18
4
$36
6
$54
8
$72
Which describes the relationship between the number of tickets sold and the profit?
Each ticket sold yields $8 of profit.
Each ticket sold yields $9 of profit.
Each ticket sold yields $16 of profit.
Each ticket sold yields $18 of profit.
Answer:
each ticket sold it worth $9
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
got it right
How many sides do 2 hexagons and 2 pentagons have in all?
Answer:
22 sides total
Step-by-step explanation:
a hexagon has 6 sides, while a pentagon has 5 sides. In order to find out how many there are total, we would multiply each by two, and add them together.
[tex]2(6)+2(5)=\\12+10=22[/tex]
Q- y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin
Answer:
(B) Parallel to x-axis
Step-by-step explanation:
y = 7
This is a constant line, in which the value of y is always of 7, no matter the value of x.
In a line in which the value of y is constant, this line is parallel to the x-axis, so the correct answer to this question is given by option b.
Given: AD diameter of Circle P. If m 1 = 40°, then m AB = A)80 B)40 C)20
Answer:
20
Step-by-step explanation:
lol
Answer:
20
Step-by-step explanation:
TRUE FALSE?
When we divide fractions we change the division sign to a multiplication sign and flip, or take the reciprocal, of the second fraction.
will someone help me on this please i really need this
Answer:
2.24
Step-by-step explanation:
the total surface area=
(3+10+5+10+6)×(20) + (2×3×24) + (2×½×(14+10)×3)
= 680 + 144 + 72
= 896 ft²
the paint will be needed at least :
896/400 × 1 gallon = 2.24 gallons
Divide the product of 11 1/5 and 47 by the difference of 6/45 and 1/10
Find the solution to the system of equations x = -6 + 2y and x = 2y + 2.
x=-6+2y
x=2+2y
by subtraction
___________________________
x=-8
Substitute x by one of the two equations :
x=-6+2y
-8=-6+2y
2y=-8+6
2y=-2
y=-2/2
y=-1
I think this is the answer
I hope I helped you^_^
PLSSSS HELP fast pls !!
Answer:
16p^2 - 9
Step-by-step explanation:
Use FOIL method of multiplication
Some hep with this question pls rewrite each of these statements using mathematical symbols question) therefore the number X equals the square root of 72
Answer:
[tex]x = \sqrt{72[/tex]
Step-by-step explanation:
Given
Number x [tex]equals[/tex] square root of [tex]72[/tex]
Required
Rewrite using mathematical symbols
equals is represented as: =
So, we have:
Number x [tex]=[/tex] square root of [tex]72[/tex]
Number x can be written as just "x". So, we have:
x [tex]=[/tex] square root of [tex]72[/tex]
square root is represented as: [tex]\sqrt[/tex]. So, we have:
[tex]x = \sqrt{72[/tex]
Jen wants to finish half of her book. She is on page 24. The book has 68 pages. The equation shown represents this situation. 24+□=68÷2 Which is the missing number that represents how many more pages Jen must read to finish half of her book?
68Answer:
10
Step-by-step explanation:
68/2=34
24+10=34
steve earns extra money babysitting , he charges $27.00 for 4 hours and $47.25 for 7 hours. enter an equation to represent the relationship . let x represent the numbers of hours Steve babysits and y represent the amount he charges
Answer:
y=6.75x
Step-by-step explanation:
he xharges 6.75 per hour, so 6.75x equals the total price, y
seventh, and eighth grade students. The 5 sixth
grade and 9 seventh grade students make up
43.75% of the entire team. How many eighth
grade students are on the team?
Answer:
18
Step-by-step explanation:
First, we know that the total is equal to 100%. We then know that 14 students make up 43.75%, and eight grade students make up the rest, at 100-43.75=56.25%.
One way we can figure this out to find how many students make up each percent. To find this, we can simply divide the number of students (14) by their percent (43.75) to get 14 students/43.75 percent = 0.32 students per percent. We can then multiply this by 56.25 to get 18 as our answer for the number of eight graders.
Answer: 18
Step-by-step explanation:
14/43.75% = 0.32
56.25 × 0.32 = 18
Therefore, 18 is the answer to this equation.
Please help thanks! Please put answer is square millimeters
Answer: 239
Step-by-step explanation:
3x7=21
(16+5)x16=336, 336/2=168
5x10=50
add them all together to get 239
hope this helps!
Please help if you know how to solve it
Thank you!
Answer:
opsihsjijjakih
Step-by-step explanation:
jiompzjksuik
Sam needs to find the circumference of a circle with a diameter of 24 inches. He uses a calculator to find the circumference. Which answer is reasonable?
72.013678 in
75.398223 in
85.335372 in
80.332161 in
Answer:
75.398223
Step-by-step explanation:
Circumference Formula: 2πr or dπ ⇒ r=radius and d=diamater
1.) π≈3.14
2.) 24×3.14=75.36
What is the slope of the line? − 3 x + 5 y = 2 x + 3 y
Answer:
m=5/2
Step-by-step explanation:
just did
Find the value of the angle θ rounded to 1 DP.
The diagram is not drawn accurately
Answer:
Find length opposite to 30deg
Opposite = tan(30)*42
= 24.2
Whole side = 24.2+10
Find angle of 0 + 30deg: (say x)
Tan(x) = 33.2/42
Arctan(0.79) = x
x = 38.3
The angle to find:
38.3-30:
8.3
The angle is 8.3deg.