Answer:
(3a + 10)(3a - 10(a - 3).
Step-by-step explanation:
Do a long division:
3a + 10 ) 9a^3 - 27a^2 - 100a + 300 ( 3a^2 - 19a + 30 <----- Quotient
9a^3 + 30a^2
-57a^2 - 100a
-57a^2 - 190a
90a + 300
90a + 300
..................
Factorise the Quotient:
3a^2 - 19a + 30
= 3a^2 - 9a - 10a + 30
= 3a(a - 3) - 10(a - 3)
= (3a - 10)(a - 3)
a and b are two similar solids. the volume of a is 400cm^3
work out the volume of b
Answer:
1350 cm³
Step-by-step explanation:
we have given that,
• Height of A = 10 cm.
1350
• Volume of A = 400cm³.
• Height of B = 15 cm.
• Both A and B solids are similar.
from above told concept we get,
→ V(A) / V(B) = (Height of A)³ / (Height of B)³
Putting all given values we get,
→400/ V(B) = (10)³/(15)³
→400/V(B) = (1000/3375)
→ V(B) = (400*3375) / 1000
→ V(B) = (4 * 3375) / 10
→ V(B) = 1350 cm³. (Ans.)
Hence, Volume of B will be 1350 cm³.
An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Show Your Work
Answer:
868412
Step-by-step explanation:
434206x2=868412
The distance required for a car to stop is directly proportional to the
square of its velocity. If a car can stop in 112.5 meters at 15 kilometers
per hour, how many meters are needed to stop at 25 kilometers per hour?
Answer:
312.5 m
Step-by-step explanation:
let distance be d and velocity be v , then
d = kv² ← k is the constant of variation
To find k use the condition d = 112.5, v= 15
112.5 = k × 15² = 225k ( divide both sides by 225 )
0.5 = k
d = 0.5v² ← equation of variation
When v = 25 , then
d = 0.5 × 25² = 0.5 × 625 = 312.5 m
-1.3x=3.9
Solve for x
Answer:
x = -3
Step-by-step explanation:
The equation is : -1.3x=3.9
We can divide both sides by -1.3
-1.3x/-1.3=-3.9/-1.3
We get
x=-3
Answer:
x =-3
Step-by-step explanation:
divide -1.3 to both sides
What two numbers add to -6 and multiple to 6
PLZ SOMEONE HELP ME
NO LINKS PLz
Answer:
-11[tex]\leq[/tex]x[tex]\leq[/tex]8
Step-by-step explanation:
The two points are filled in circles at -11 and 8, meaning anything inbetween them is part of the domain.
Isabel is going for a walk. She walks 6.4 miles in 4 hours. What is her speed?
Answer:
6.4 miles per hour
Step-by-step explanation:
Answer:
1.6m/h
Step-by-step explanation:
6.4/4=1.6m/h
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Write all permutations of the letters E, F, G, and H if the letters F and G must remain between the letters E and H. (Enter your answers as a comma-separated list of four letter combinations. For example, the combination "C,D,E,F" should be entered as CDEF.)
Answer:
EFGH, HFGE, EGFH, HGFE
Step-by-step explanation:
Write an equation of the line that passes through (4, -5) and is perpendicular to
the line y = 2x +3
Hello there!
We are given the equation of the line
y=2x+3
What's the equation of the line perpendicular to it?
Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, make it negative, and flop it over.The slope of the line perpendicular to the given line is -1/2.Now that we have the slope of the line and a point that the line passes through, we can find the equation of the line.Write it in Point-Slope form:y-y1=m(x-x1)y-(-5)=-1/2(x-4)y+5=-1/2(x-4)y+5=-1/2x+2y=-1/2x+2-5y=-1/2x-3Therefore, this is the equation. Hope it helps. Good luck.
To clarify any doubts, use the comment section.
Answered by
~A lonely teen who helps others joyfully
-Grace
5x+2y=6 3y=2x+9 how many solutions does this problem have? No solution, one solution, or infinite solutions
Answer:
One solution
Step-by-step explanation:
First, organize the equations by moving y to the left hand side:
5x + 2y = 6, subtract 5x from both sides and we get: 2y=6-5x
3y = 2x + 9 is already done
Next, set the coeficcient of both y values equal to the least common multiple of 2 and 3 which is 6:
2y=6-5x multiply both sides by 3, 6y = 18-15x
3y=2x+9 multiply both sides by 2, 6y = 4x+18
Substitute y on both sides and we get 18-15x=4x+18
Simplify that and you get 19x=0, x equals 0, so there is one solution
Write an equation in slope intercept form plz help
The slope-intercept form is [tex]y = mx + b[/tex]where m is the slope and b is the y-intercept.
The equation is already in slope-intercept form.
[tex]y = - x + 4[/tex]
Answer:
Step-by-step explanation:
Q8:
y= -x+4 (given)
Slope of given the line=-1
For required slope which is passing through (6,5):
Using Point slope form:
[tex]y-y_{1} = m(x-x_{1} )[/tex]
y-5=-1(x-6) (m=-1 because lines are parallel)
y-5=-x+6
x+y-5-6=0
x+y-11=0
Q9:
y=-4x-7
slope of the given line:
m=-4
Slope of required line:
m=1/4
Using Point slope form:
[tex]y-y_{1} = m(x-x_{1} )[/tex]
y+1=1/4(x-8)
4y+4=x-8
x-4y-8-4=0
x-4y-12=0
Tom’s weekly salary increased from $240 to $300. What was the percent change?
Answer: 25%
Step-by-step explanation:
Answer:
25% increase
Step-by-step explanation:
4x+3y = 22 (slope intercept forma
Answer:
I am pretty sure it is y=22-4x/3
Step-by-step explanation:
4x+3y=22
(you need to put it in y=mx+b format)
-subtract 4x on both sides-
3y=22-4x
-divide by 3 on both sides-
y=22-4x/3
Not sure if this is correct, but I hope this helps!
Please answer this question step by step!
No links please.
Whoever gives correct answer will get a thank you aswell.
Answer:
[tex]x = \frac{3}{2} [/tex]
Step-by-step explanation:
first distribute
[tex] \frac{36x - 9}{2x} = 15[/tex]
next multiply both sides by 2x
[tex]36x - 9 = 15(2x) \\ 36x - 9 = 30x[/tex]
simplify
[tex] - 9 = - 6x[/tex]
divide both sides by -6
[tex] \frac{ - 9}{ - 6} = x \\ \frac{3}{2} = x[/tex]
A diver dove from a board that was 6 3/4 feet above the water's surface, and descended until he was 8 1/3 feet below the water's surface. What was the total distance that the diver desceded?
Answer:
15 1/12 feet
Step-by-step explanation:
Well if he descended 8 1/3 feet below the water, that means he must've went from board to water which is 6 3/4 feet then down 8 1/3 feet
6 3/4 + 8 1/3
= 6 9/12 + 8 4/12
=15 1/12 feet
Please helppp asappppp
Answer:x=10
Step-by-step explanation:
First add 90+80 which is 170. Then subtract 180-170 which is 10. If i'm correct, the answer should be 10
Can someone explain and answer this question please... I'm very unsure. please and thankyou
Answer:
Step-by-step explanation:
Pls help will give brainly
Answer:
y = - 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line
m = [tex]\frac{-8-4}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2
The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = - 2x - 4 ← equation of line
Help!!
Question in picture!!
Step-by-step explanation:
A. monomial
B. polonomial
hope it helps.
stay safe healthy and happy.
Answer:
A= monomial
B= trinomial
g(x) = 3x + 1; Find g(7)
Answer:
22
Step-by-step explanation:
g(x) = 3x + 1
g(7) = 3(7) + 1
= 21 + 1
= 22
hope this helps! :D
have a miraculous day!! <3
if silas sandwich measures, 3 yards 2 feets 3 inches, How many inches in total does silas sandwich measure
========================================================
Work Shown:
1 yard = 3 feet
3 yards = 9 feet (multiply both sides by 3)
3 yards + 2 feet = 9 feet + 2 feet = 11 feet
1 foot = 12 inches
11 feet = 132 inches (multiply both sides by 11)
11 feet + 3 inches = 132 inches + 3 inches = 135 inches
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
Answer:
Below.
Step-by-step explanation:
Part A.
m < RPB = 180 - 115 = 65 degrees.
So the m < x = 180 - 65 - 62
= 53 degrees.
Part B.
First line of Part A:
M < RPB + m < PRD = 180 degrees ( Internal angle between 2 parallel lines are equal).
Second line:
The 3 angles x, 62 and 65 degrees are all on the same straight line (AB), so they sum to 180 degrees.
Which table represents a linear function?
Answer:
it's the last one in the lower right corner.
ASAPPPP HELPPPP PLEASEEEE
Answer:
27.6
Step-by-step explanation:
sin29=x/57
0.48480962=x/57
x≈27.6
A pair of dice is rolled. What is the probability that the sum is nine or that the first number is a two?
Answer:
I think is 1/9
Because they say the sum is 9 and what will be chance in landing in 2
what is the mean of the data set
14 19 18 12 22 15 16 14 14 21 20
A 15.75
B 16.00
C 16.75
D 19.50
You have to multiply 7 by 19. Which equation uses the Distributive Property to take this problem apan
A. 7(10 + 9) = 70 + 16
CB B. 7(10 + 9) = 70 + 9
c. 7(10 + 9) = 70 +63
D. 7(10 + 9) = 17 +63
(25 points) Which statement describes the point (2, 6) ?
The point is on the x-axis.
The point has an x-coordinate of 2 and a y-coordinate of 6.
The point has an x-coordinate of 6 and a y-coordinate of 2.
I don't know.
The point has an x-coordinate of 2 and a y-coordinate of 6 thus, option (B) is correct.
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
The coordinate is written as (x,y)
Here, x is the horizontal distinctions and y is the vertical distinctions.
In (2,6) here 2 is the x-coordinate while 6 is the y-coordinate.
Hence "The point has an x-coordinate of 2 and a y-coordinate of 6".
For more about coordinates,
brainly.com/question/7869125
#SPJ2
If EF = 2x + 5 and FG = x + 9, what is EF?
Answer:
2- × 5
Step-by-step explanation:
Question is on the pic!
Answer:
C
Step-by-step explanation:
C has 2 negative 2's on it, and 2 numbers on the x side cannot be the same.
Answer:
C
Step-by-step explanation:
If your x Collum has more than one of the same numbers so in this case -2 is there twice it's not a function
X 1 1 2 3 4
________________________________________________________
Y 0 3 4 2 6
this would not be a function because the one is at two different heights.
if you think of every number as a person and the y axis as height. two different people can be the same height but one person cannot be two different heights at the same time. if it's on a graph use the vertical line test take a vertical edge of a paper and run it across the graph if the edge of paper goes through more than one point it's not a function