The translation of the function y = 2(x - 15)² to y = 2(x - 11)² + 3 is; 4 units to the left.
How to Interpret Graph Translations?
We are given the graph function;
y = 2(x - 15)²
Now, the function above was translated to get;
y = 2(x - 11)² + 3
Now, when we translate a graph to the right, we subtract from the x-value, but if we move the graph to the left, we subtract from the x-value. Thus;
The translation was 4 units to the left.
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what is the diameter of the cylinder
Given :-
Volume of cylinder = 245π cubic unitsHeight of cylinder = 5 unitsTo Find :-
Diameter of cylinder?Solution :-
Firstly lets calculate radius of cylinder by using formula of volume of cylinder, as we know that;
Volume of cylinder = πr²hPutting all values we get;
➸ 245π = π × r² × 5
By cutting 'π' with 'π' we get;
➸ 245 = r² × 5
➸ 245/5 = r²
➸ 49 = r²
➸ √(49) = r²
➸ √(7 × 7) = r²
➸ 7 = r
➸ r = 7 units
Hence, radius of cylinder is 7 units.Now lets calculate its diameter, as we know that;
Diameter = Radius × 2Putting all values we get;
➸ Diameter = 7 × 2
➸ Diameter = 14 units
Hence, diameter of cylinder is 14 units.
Find the measure of angle A.
A
9x+6
4x + 6
m/A=
Answer:
angle A=30°
Step-by-step explanation:
[tex]9x + 6 + 4x + 6 + 90 = 180 \\ 13x + 102 = 180 \\ 13x = 180 - 102 \\ 13x = 78 \\ \frac{13x}{ 13} = \frac{ 78}{13} \\ x = 6 \\ 4x + 6 = a \\ 4(6) + 6 = a \\ 24 + 6 = a \\ 30 = a[/tex]
can you find a five digit number which has no zeros, and no digit is repeated, and where:
the first digit is a prime number
the second digit is the fith digit minus the first digit.
the third digit is twice the first digit
the forth digit is the third digit plus 3
the fith digit is the diffrence between the first digit and the fourth digit
Answer:
13,254
hope this helps :)
please crown me brainliest!
What is an equation of the line that passes through the point (-7,-6) and is parallel to the line x-y=7?
Answer:
y = x + 1
Step-by-step explanation:
Step 1: Find the slope.
Parallel lines have the same slope. That means that the line we are seeking is going to have the same slope as line x - y = 7.
To find the slope of the line x - y = 7 let's change it to the slope-intercept form.
Slope-Intercept Form
y = mx + b
m ... slope
b ... y-intercept
Let's change the equation of the parallel line to slope-intercept form (isolate y).
x - y = 7
Add y on both sides.
x - y + y = 7 + y
x = 7 + y
Subtract 7 on both sides.
x - 7 = 7 + y - 7
x - 7 = y
y = x - 7
Let's read the slope from the equation.
Instead of y = x - 7 we can write y = 1x -7.
Now it's obvious that m (slope) is 1.
m = 1
So far, our equation of the line is:
y = 1x + b
which is te same as
y = x + b
Step 2: Find y-intercept.
To find out y-intercept (b), we substitiute the point (-7, -6) in the equation. Points are in form (x, y) so -7 is x and -6 is y.
y = x + b
-6 = -7 + b
Solve for b.
1 = b
Step 3: Substitute slope and y-intercept in general formula for slope-intercept form of the line.
Now substitute m and b in slope-intercept form y = mx + b.
m = 1
b = 1
Equation of the line:
y = x + 1
The difference between two trinomials is 5x2 + 11x − 16. If one of the trinomials is 3x2 − 2x + 7, then which expression could be the other trinomial?
Applying the difference, it is found that the other trinomial could be given by: 8x² + 9x - 9.
What are the trinomials?We are working with second degree trinomials, hence:
One is 3x² - 2x + 7.The other is ax² + bx + c.The difference is 5x² + 11x - 16.Hence:
ax² + bx + c - (3x² - 2x + 7) = 5x² + 11x - 16.
(a - 3)x² + (b + 2)x + c - 7 = 5x² + 11x - 16.
Then:
a - 3 = 5 -> a = 8.b + 2 = 11 -> b = 9.c - 7 = -16 -> c = -9Then, the trinomial is:
8x² + 9x - 9.
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does the following form a proportion 2/3 = 6/9
Answer:
yes
Step-by-step explanation:
2/3=6/9
2/3=2/3
it is because 6 and 9 is divided by 3
What is the length of AC ?
A
12
M
C
The length of the chord AC in the circle is 24 units.
What are Chords?Chords are line segment joining any two sides of a circumference of a circle.
The radius of a circle is half of diameter of the circle.
Therefore, a radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.
Hence, the radius that runs through M is perpendicular to the chord AC. Therefore, the chord AC is divided into two halves namely AM and MC.
Hence,
AC = AM + MC
AC = 12 + 12
AC = 24 units
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1PLEASE HELP!!! Need to finish
Answer: Heyaa! ~
Your Answer is... -32
Step-by-step explanation:
Simplify the expression. [7-3(-8+5)]Your input: evaluate −2(7−3(−8+5)) when x=1, y=2, z=5.Hopefully this helps you! ^
The diagram shows a convex polygon.
What is the sum of the interior angle measures of this polygon?
This is an equilateral triangle, therefore, all the angles are 60 degrees.
3 times 60 is 180.
180 is the answer
In the xy-plane, The line P is perpendicular to the graph of the equation 4x+3y=12. Which of the following is the slope of line P? A. -4 B.-3 C. 3/4 D.12
A slope is also known as the gradient of a line. The slope of line P is 3/4.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
As it is known that for two perpendicular lines the slope of the lines will be negative reciprocal of each other. The slope of line 4x+3y=12 can be written as,
y = 4 - (4/3)x
m₁ = -1/m₂
-(4/3) = -1/m₂
m₂ = 3/4
Hence, the slope of line P is 3/4.
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Line / is parallel to line m. The slope of line / is 2/7. What is the slope of line M ?
Answer:
The slope would also be 2/7.
Step-by-step explanation:
The two lines are parallel, meaning that they follow the same slope. If line / has a slope of 2/7, then line M must have the same slope as well. I hope this helps! :)
I forgot how do do these anyone remember please
Answer:
x ≤ 1/2
Step-by-step explanation:
Domain: input values (x-values)
We cannot take a square root of a negative number, therefore
3 - 6x ≥ 0
Solving the inequality:
⇒ 3 - 6x ≥ 0
⇒ 3 ≥ 6x
⇒ 1/2 ≥ x
⇒ x ≤ 1/2
Therefore, the domain is x ≤ 1/2
Simplify & Please show all work
Answer:
8/m^3nStep-by-step explanation:
3) show that the two lines with the given slopes are parallel, perpendicular neither. My₁ = 3/4 M₂ = 12/16 . solve it by showing step by step
Parallel lines have equal slope so
M1-M2=0Lets check
M1=3/4M2=12/16=3/4Now
M1-M23/4-3/40Lines are parallel
Answer:
The two lines are parallel
Step-by-step explanation:
If two lines are parallel, they have the same slope.
If two lines are perpendicular, the slopes will be negative reciprocals (the product of the slopes will be -1).
Given slopes:
[tex]\sf m_1=\dfrac{3}{4}[/tex]
[tex]\sf m_2=\dfrac{12}{16}[/tex]
Reduce m₂ to its simplest form by dividing the numerator and denominator by the largest common factor:
[tex]\sf m_2=\dfrac{12 \div 4}{16\div 4}=\dfrac{3}{4}[/tex]
Therefore,
[tex]\sf as \quad \dfrac{3}{4}=\dfrac{3}{4} \implies m_1=m_2 \quad[/tex]
As the given slopes are the same, the two lines are parallel.
A right rectangular pyramid is sliced horizontally (across) at the red line by a plane parallel to the base. What is the shape of the cross-section?
Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction. How do the estimated and actual products compare?
(Hint: use 18 for the denominator when comparing.)
The actual product is about StartFraction 1 over 18 EndFraction greater than the estimate.
The actual product is about StartFraction 1 over 18 EndFraction less than the estimate.
The actual product is about StartFraction 1 over 9 EndFraction greater than the estimate.
The actual product is about StartFraction 1 over 9 EndFraction less than the estimate.
The correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.
What are fractions?The fraction is defined as the division of the whole part into an equal number of parts. here we have the following information Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction.
E = [tex]\dfrac{5}{8}\times \dfrac{8}{9}[/tex] = 0.55
Thus the product of the fraction estimated in the nearest half is,
0.5×1= 0.50
Therefore the correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.
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Answer: B
Step-by-step explanation: took test/quiz
Find the value for x: 5, 14, 12, x, 10, 4 average =9
Answer:
14
Step-by-step explanation:
i think 14 because you have to times two answers and add them form each number
PLEASE SOLVE ITS UrgeNT I WILL MARK YOU BRAINLIEST! PLEASEE
Answer:B
Step-by-step explanation:
The amoeba splits 24 times, meaning that the number of amoebas will be
2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2 or 2^24
Statistics from the past ten years predict that the chance of rain on any single day in April in Asha’s hometown is 41%. If Asha’s birthday is April 10, what is the chance of it not raining on Asha’s birthday?
Answer:
59% chance
Step-by-step explanation:
Statistics from the past ten years predict that the chance of rain on any single day in April in Asha’s hometown is 41%. If Asha’s birthday is April 10, what is the chance of it not raining on Asha’s birthday?
Asha's birthday in in April. The chance of rain on any single day in April is 41%. So, there is a 41% chance of rain.
But, that's not what the problem is asking for. The problem is asking for the chance of not raining. To solve for this, we use simple algebra.
100%(all of the time) - 41%(how much it happens) = 59%
The 59% is the chance of it not raining on Asha's birthday.
Hope this helps! Happy birthday, Asha!
Factor the expression x2 − 14x + 45 completely.
Answer:
(x-9)(x-5)
Step-by-step explanation:
x²-5x-9x+45
x(x-5)-9(x-5)
(x-9)(x-5)
Answer:
(x-9)(x-5)
Step-by-step explanation:
To factor this expression, you need to find two values that have a sum of -14 and also have a product of 45. The values -5 and -9 meet these requirements and become the constants in the two factors of the expression,
x2 − 14x + 45 = (x − 9)(x − 5).
A classroom floor is in the shape of a trapezoid and needs to be tiled. one of the parallel
sides of the room measures 25 feet and the opposite side measures 19 feet. the distance
between these sides is 21 feet. which answer represents the area of the classroom floor?
show how you determined your answer.
a 462 ft2
b.
475 ft2
c. 924 ft?
d. 950 ft2
Evaluate. (-5)² A. -52 B. -25 C. -10 D. 10 E. 25
(-5)²
= (-5)×(-5)
= 25
-> E
Answer:
E. 25
Step-by-step explanation:
A negative times a negative equals a positive. And a squared number is the number inside the parentheses time that number.
Example:
-5×-5=25
Why is y=-2x considered a function?
because there are values of y that correspond to more than one value of x.
because x is bigger than y.
because the value of y corresponds only to one value of x.
because y is bigger than x.
Yes
Step-by-step explanation:
its a direct-variation function
f(a)=a^3-10a^2+28a-17 at a=6
Evaluate function using the
Remainder theorem
Show work
I give Brainliest. :)
Answer:
727
Step-by-step explanation:
6^3-106^2=216+360=576+168=744-17=727
Please help I’m having trouble understanding this question
Answer: <1 = 26°
Step-by-step explanation:
given that:
• <ABD = 66°
• <2 = 14° + <1 (since ''more than' means we add)
• Find <1
Since it is obvious that <ABD is a sum of <1 and <2:
⇒ <ABD = <1 + <2
now we know that <2 is 14° more than <1 and that <ABD = 66°
⇒ 66° = <1 + (14° + <1)
⇒ 66° = <1 + 14° + <1
⇒ <1 = (66° - 14°) ÷ 2
⇒ <1 = 26° ...Answer...
hope that helps...
what is the surface area of the triangular prism? 15ft 9ft 24ft 40ft 15ft PLEASE BE FAST ILL GIVE BRAINLIESTTT TODAYS MY LAST DAY AG SCHOOL TO AHH
Answer:
B. 2376 Square feet
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How many ways can you choose 3 dishes from a menu of 8?
a. 24
b. 336
c. 144
d. 56
please help i have no idea how to do this
Answer (Step-by-step explanation):
so X is horizontal and Y is vertical. (X,Y) because X comes first and Y comes last and all you need to do is make sure your points are correct and that the best of my ability, you can also try drawing lines to each pin point and you can estimate these (X,Y) because X=? and Y=? so good luck i hope that helps! (:
Question content area top
Part 1
A cake has two layers. Each layer is a regular hexagonal prism. You cut and remove a slice that takes away one face of each prism as shown. What is the volume of the slice? What is the volume of the remaining cake? Use pencil and paper. Describe two ways to find the volume of the slice.
5 in.
3 in.
2.6 in.
4.3 in.
2 in.
3 in.
(The figure is not to scale.)
Question content area bottom
Part 1
The volume of the slice is
40 in..
(Round to the nearest whole number as needed.)
Part 2
The volume of the remaining cake is
enter your response here in..
The volume of the slice is 40 in³. The volume of the remaining cake would be 197.014 in³.
What is a regular hexagon?A regular hexagon can be defined as a closed shape consisting of six equal sides and six equal angles.
Here we have two regular hexagons
one top small hexagon cake with a side of length = 3 in, height = 3 in
One big hexagon cake, side of length = 4 in, Height = 4 in
A slice cut such that it removes a side segment is equivalent to an equilateral triangle with a side
length = length of hexagon side
The length of the side of the removed equilateral triangle side
Top small cake slice triangle side = 3 in.
Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60
= 9√3/ 4
The volume of a small slice
= Area of surface small slice × Height of small cake
= 9√3/ 4 x 3
= 11. 69
Big cake slice triangle side = 4 in.
Area of the surface of big slice = 1/2 x 4 x 4 x sin 60
= 4√3
The volume of big slice = Area of the surface of big slice × Height of big slice
= 16√3
= 28
The total volume of slice = Volume of small slice + Volume of big slice
Total volume of slice = 12 in³ +28 in³ = 40 in³
For the small cake,
the remaining volume = 5 x 11.69 = 58.45
For the big cake
the remaining volume = 5 x 27.71 = 138.56
Total volume remaining cake
= 58.45 in³ + 138.56 in³ = 197.014 in³
a = Length of side
h = Height of hexagon
The volume of each slice is,
= a^2 x h x √3/4
For the small cake, we have
a = 3 in.
h = 3 in.
The volume of small slice = a^2 x h x √3/4
= 9 x 3 x √3/4
= 27√3/4
For the big cake, we have
a = 4 in.
h = 4 in.
Volume of big slice = a^2 x h x √3/4
= 16 √3
The total volume of slice = Volume of small slice + Volume of a big slice
Total volume of slice = 27√3/4 + 16 √3
The total volume of the slice = 39404 in³.
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Please help me asap
Answer:
5x + [tex]\frac{1}{8}[/tex]y = 3/8
Step-by-step explanation:
Add [tex]\frac{5x}{8}[/tex] to both sides
[tex]\frac{5x}{8}[/tex] + y = 3
Divide both sides by 8
5x + [tex]\frac{1}{8}[/tex]y = 3/8
Step-by-step explanation:
standard form is given by Ax + By = C
hence,
the answer is:
5x + 8y = 24