Answer:
a
Step-by-step explanation:
Given
3(x + 3)² - 81 = 0 ( add 81 to both sides )
3(x + 3)² = 81 ( divide both sides by 3 )
(x + 3)² = 27 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{27}[/tex] = ± 3[tex]\sqrt{3}[/tex] ( subtract 3 from both sides )
x = - 3 ± 3[tex]\sqrt{3}[/tex]
x = - 3 - 3[tex]\sqrt{3}[/tex] or x = - 3 + 3[tex]\sqrt{3}[/tex] → a
Answer:
a
Step-by-step explanation:
3) The sum and the difference of the LCM and GCD of two numbers are 312 and 264 respectively. Find the numbers if their sum is 168.
Answer:
The numbers are 72 and 96.
Step-by-step explanation:
LCM + GCF = 312
LCM - GCF = 264
2*LCM = 576
LCM = 576/2 = 288
HCF = 312–288 = 24
The product of two numbers = HCF*LCM
Let the numbers be x and (168-x)
x(168-x) = 24*288 = 6912
x^2–168x+6912 = 0
x = [168 +(168^2 -4*6912)^0.5]/2
= [168 +(28224–27648)^0.5]/2
= [168 + 576^0.5]/2
= (168+24}/2
= 192/2
= 96 and the other number is 168–96 = 72.
Which belongs to which? Will mark brainliest
Please help The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
Answer:
The full steel bead tire would weigh 1.5432358353 pounds, or about 1.8. The lighter wheel weighs 1.5432358353 pounds, or about 1.5. Together they weigh 3.086471671, or about 3.1 pounds.
You have 180 feet of fence to make a rectangular pen. What are the
dimensions of the rectangle with the maximum area?(include explanation or step-by-step)
Answer:
45 x 45 = 2025
Step-by-step explanation:
Which statement is true? The function is only increasing when x ≥ −8. The function is only increasing when x ≥ 0. The function is always decreasing. The function is always increasing.
Answer:
THE FUNCTION IS ALWAYS INCREASING.
Complete question: The graph of f(x)= power of 3√x + 8 is shown.
Step-by-step explanation:
See attachment for the missing graph.
when x = -16 ; y = -2
when x = -12 ; y = -1.5
when x = -8 ; y = 0
when x = -6 ; y = 1.25
when x = 0 ; y = 2
when x = 6 ; y = 2.5
As the value of x increases, so does the value of y. Thus, the function is always increasing.
Answer:
D
Step-by-step explanation:
formula of area of a semicircle
Answer:
[tex]\frac{\pi r^2 }{2}[/tex]
Step-by-step explanation:
pi r ^2 is the formula for a circle, a semicircle is half of that.
The measure of central angle MNL is π radians, and the measure of the entire circle is 2π radians. The ratio of the measure of the central angle to the entire circle measure is . The area of the entire circle is π units2. The area of the sector is π units2.
Answer:
The answer is "The calculated ratio of the central angle to the entire circle is 1:2".
Step-by-step explanation:
Let,
MNL angle [tex]= \pi[/tex]
So, the entire circle is [tex]= 2\pi[/tex]
The ratio of the central angle to the entire circle is:
[tex]\Rightarrow \frac{\pi}{2\pi}\\\\\Rightarrow \frac{1}{2}\\\\[/tex]
Hence, the calculated ratio is = 1:2.
Rochelle works part-time at the college museum, which pays her at a rate of $10 per hour. She also makes small bracelets that she sells for $5 a piece. She needs to earn at least $200 a week to cover her expenses. Let x represent the number of hours that Rochelle works at the museum, and let y represent the number of bracelets she sells.
Answer:
the answer is
D
and the equation lays outside of the equation so she will not work for 5 hours and make 15 bracelets because it lays outside the region
help PLEASE
urgent...
Answer:
C!
Step-by-step explanation:
It appears that all choices have the 1st part the same, so we are looking at domains. I recommend drawing the functions without the domain limitations. We know that the linear function is closed so it's inequality is either [tex]\geq[/tex] or [tex]\leq[/tex]. So eliminate B and D. Since the quadratic function continues to the left the inequality sign should be <. So the answer is C
What is the probability the spinner does NOT land on green? Assume it cannot land on the line between two colors.
A) 20%:
B) 40%
C) 60%
D) 80%
Answer:
4/5 which is 80%
Step-by-step explanation:
there is a total of 5 which means that the probability to not land on green is 4/5
which in decimal form is .8
which in percent is 80%
Zero
Undefined
Positive
Negative ?
Answer:
Zero
Step-by-step explanation:
The line is a straight line going across the x axis so there is no change in y so there is no slope because slope is the change of y.
The answer is not c
Answer:
It’s D
Step-by-step explanation:
What is the surface area
Answer:it is the yellow part
Step-by-step explanation:
because the yellow face is touching the floor
Answer:
Surface area: A=496
Volume: V=640
Step-by-step explanation:
Shape: Rectangle Prism
Solved for volume
Formula for volume: L*W*H
Formula for surface area: 2(wl+hl+hw)
To calculate the volume
1: First calculate the width, height, and the length. Which is Length: 16ft Width: 8ft Height: 5ft.
Answer for volume: V=640
To calculate the surface area:
1: Use the formula wl+hl+hw. So plus the length, width and the height which is. Height: ft Width: 8ft Length: 16ft.
Answer for surface area: A=496
Hope this helps.
Is this right or wrong?Tell me if I need to change my answer.
Answer:
Yes you are correct
Step-by-step explanation:
what is the sum of the interior angles of a polygon shown below?
Answer: The sum of the interior angles of a polygon shown in the picture is [tex]540^{\circ}[/tex].
Step-by-step explanation:
The given polygon is a regular pentagon having 5 sides.
The sum of the interior angles of a regular polygon is given by :-
[tex](n-2)\times180^{\circ}[/tex], wherer n= number of sides of the regular polygon.
Since it has 5 sides, then the sum of the interior angles of a polygon would be
[tex](5-2)\times180^{\circ}\\\\=3\times180^{\circ}\\\\=540^{\circ}[/tex]
Hence, the sum of the interior angles of a polygon shown in the picture is [tex]540^{\circ}[/tex].
pls be quick i feel stupid not knowing the answer
Answer:
584!
Step-by-step explanation:
Let's see. There is a missing side. Let's call that x. However, we know what the other sides are!
This is how we do it.
We know the largest side's length., 172.
Since we know the other sides, we can subtract their length from 172.
172-57-51-31=33
x=33
So now add the sides!
54+31+66+172+57+30+33+19+51+71\
584!
Simply the equation 3i(2-11i)
Answer:
6i + 33
Step-by-step explanation:
3i * ( 2 - 11i) = 6i - 33 [tex]i^{2}[/tex]
[tex]i^{2} = -1[/tex]
6i - 33 [tex]i^{2}[/tex] = 6i - 33 * (-1) = 6i + 33
Answer:
6i+33
Step-by-step explanation:
f(0)=g(0)
f(-2)=g(-2)
f(0)=g(-2)
f(-2)=g(0)
Answer:
F(-2)=G(-2)
Step-by-step explanation:
Can anyone please help me with this geometry question?
The height of a parallelogram is three times its base. If the area of the parallelogram is 675 square inches, find its base and height.
Which of these choices are correct?
b = 25 in & h = 75 in
b = 75 in & h = 225 in
b = 45 in & h = 135 in
b = 25 in & h = 12.5 in
Answer:
Step-by-step explanation:
let base be x and height be 3x
we know area of parallelogram is
base*height
ie x*3x=675
3x^2=675
x^2=675/3
x^2=225
x= square root of 225
x=15
therefore base =15
height = 45
Triangle DEF has vertex coordinates D(0, -3), E(-1,0), and F(-2,-1). It is
reflected across the y-axis. What are the coordinates of D'EF?
The coordinates of D'E'F' after reflection are,
D' = (0, - 3)
E' = (1, 0)
F' = (2, - 1)
We have to given that,
Triangle DEF has vertex coordinates D(0, -3), E(-1,0), and F(-2,-1).
Here, Triangle DEF is reflected across the y-axis.
The rule for a reflection over the y -axis is,
(x, y) → (- x, y)
Hence, the coordinates of D'E'F' after reflection is,
D' = (0, - 3)
E' = (- (- 1), 0) = (1, 0)
F' = (- (- 2), (- 1)) = (2, - 1)
Learn more about the coordinate visit:
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1. A school has 400 students. They all come to school by bus, and each bus carries the same number of students. How many students might there be on each bus? PS the number of buses is 100
Answer:
4, I believe
Step-by-step explanation:
400 students
100 buses
400/100=4
Answer:
4
Step-by-step explanation:
There are 400 students, and 100 buses, so number of student in each bus= 400/100
= 4
find the x in the tringle
The right answer is 9.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment....
Answer:
x = 9
Step-by-step explanation:
→You can use the Pythagorean Theorem to solve:
[tex]a^2+b^2=c^2[/tex]
→The "a," and "b," are the legs, and the "c," is the hypotenuse. In this case, we are already given the hypotenuse as 41, and we are trying to find a leg:
[tex]40^2+b^2=41^2[/tex]
[tex]1600+b^2 = 1681[/tex]
→Subtract 1600 from both sides:
[tex]b^2=81[/tex]
→To get "b," by itself, square root both sides, like so:
[tex]\sqrt{b^2} =\sqrt{81}[/tex]
→81 is a perfect square meaning it has two factors that are identical.
[tex]b = 9[/tex]
HELP PLS I WILL MARK BRAINLIEST PLS I NEED SOME HELP!!!
Answer:
the answer is d
Step-by-step explanation:
MS. Winkler surveyed her students in just one class with 30 students to see how many siblings each of them had. Here are the results
Only child: 5
1 sibling: 7
2 siblings: 13
3 or more siblings: 5
If she were to survey all 140 of her students, predict how many total have just 1 sibling. (Round to the nearest whole number)
Answer choices:
a)33
b)30
c)42
d)2
Matthew obtained a balloon mortgage but was late on a few payments during
the period of the loan. Which of the following is an unlikely option for him
once the balloon payment becomes due?
A. Sell the home
B. Refinance the balloon payment
C. Foreclosure
D. Pay balloon payment in full
Answer:
The answer is C. Forclosure
Answer:
Refinance the balloon payment
Step-by-step explanation:
AP3X
2 Points
Which of the following appear in the diagram below?
Check all that apply.
Y
x
O A. _XYZ
OB. ZX
OC. YX
OD. _ZXY
SUBMI
Answer:
D and B
Step-by-step explanation:
hope this is correct!
The following appears in the diagram below are:
XZ and XY and ∠ZXY.
Options B, C, and D are the correct answer.
What is an angle?In mathematics and geometry, an angle is a measure of the amount of rotation or turn between two lines or line segments that meet at a common endpoint, called the vertex of the angle.
Angles are typically measured in degrees (°) or radians (rad).
A full rotation around a point is 360 degrees or 2π radians.
We have,
An angle is a measure of the amount of rotation or turn between two lines or line segments that meet at a common endpoint, called the vertex of the angle.
Arc length is the distance along the curve of a circle or any other curved shape. It is defined as the length of the portion of the circumference of a circle or a portion of a curve between two endpoints, measured along the arc of the curve.
From the diagram,
XZ and XY are arc lengths.
∠ZXY is an angle.
Thus,
The following appears in the diagram below are:
XZ and XY and ∠ZXY.
Learn more about angles here:
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I need you to show your work for each problem
1-5
Answers:
2-7286.67-735-12Please see the attached picture for full solution
Hope it helps...
Good luck on your assignment
What is the name given to integers that cannot be factored
Answer:
irreducible
Step-by-step explanation:
A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial .
Answer:
prime numbers
Step-by-step explanation:
prime numbers are only divisible by themselves and one, hence why they are not factor-able.
suppose an experiment is rolling a dice and tossing a coin . list the elements of the sample space.
Answer:
S = {1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}
Step-by-step explanation:
A sample space is the set of all outcomes that may come. It consists of all the values that may result in result of an experiment.
In the given problem, we have to find the sample space of rolling a dice and flipping a coin
As the dice has 6 sides and coin has 2 sides
The number of outcomes are: 6*2 = 12
The outcome of dice can either be with heads of coin or tails of coin.
The sample space will be:
S = {1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}
Keywords: Sample Space
What is the factored form of this polynomial?
X2 + 5x-36
OA. (x+ 4)(x+ 9)
OB. (x-4)(x-9)
O C. (x-4)(x+ 9)
O D. (x - 5)(x+ 8)
Hey There!
x² + 5x - 36
First step is to find out the two numbers when multiplied results to 36 & when subtracted results to 5. Um..Let's think for a lil bit.....Yeah! you got it :) The numbers are 9 and 4!---- x²+ ( 9 - 4)x - 36
Distribute x :---- x² + 9x - 4x - 36
Take the common :---- x ( x + 9 ) - 4 (x + 9 )
---- ( x - 4 ) ( x + 9 )
Yayyy! We got our answer :) The right answer is of Option C [ ( x - 4 ) ( x + 9 ) ]~KEEP EXPLORING! < 3