Answer:
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
Step-by-step explanation:
calculate the mean of this data set
What order should these go in?
Answer:
1. given
2. vertical angles theorem(1st occurrence)
3. vertical angles theorem(2nd occurrence)
4. Converse of the alternative interior angles theorem
5. Transitive property of congruence
hope this helps
have a good day :)
Step-by-step explanation:
Answers:
GivenVertical Angles Theorem (1st Occurrence)Vertical Angles Theorem (2nd Occurrence)Converse of the Alternate Interior Angles TheoremTransitive Property of Congruence========================================================
Explanation:
We always start with "given" when it comes to proofs in geometry, and proofs in general. Think of it like starting to build a house. Someone goes out and buys the material, which is the "given" that you start to work with. When we cross two lines to form an X shape, the angles opposite each other are known as vertical angles. They don't need to align vertically to be considered as such. Angles 2 and 3 fit the description. Vertical angles are always the same measure. I'm not sure why your teacher wanted to emphasize "1st occurrence" and "2nd occurrence". That part is irrelevant in my opinion.See item #2 above. Alternate interior angles are angles inside the parallel lines, and they are on alternating sides of the transversal cut. One pair of alternate interior angles is angle 3 and angle 6.The transitive property is the idea of chaining equations together. If we know that A = B and B = C, then we link them together to conclude that A = C. You can think of it as if you started in town A, moved to town B, then ultimately ended up in town C. So therefore you've gone from A to C.Identify the vertex:
f (x) = -x^2+ 10x
Answer:
(5,25)
Step-by-step explanation:
HELP DUE IN 10 MINS!
Given a circle with a central angle of 80° and a radius of 27 cm, determine which of the following statements are true. Select all that apply!
A. The area of the sector is 81 π
B. The area of the circle is 729 π
C. The circumference of the circle is 27 π
D. The arc length of the sector is 12π
Answer:
[tex]\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi[/tex]
Step-by-step explanation:
Area of a circle with radius [tex]r[/tex]: [tex]r^2\pi[/tex]
Circumference of a sector with radius [tex]r[/tex]: [tex]2r\pi[/tex]
Area of sector with angle [tex]\theta[/tex]: [tex]r^2\pi\cdot \frac{\theta}{360}[/tex].
Arc length of sector with angle [tex]\theta[/tex]: [tex]2r\pi\cdot \frac{\theta}{360}[/tex]
Using these equations, we get the following information:
Area of circle: [tex]27^2\pi=729\pi[/tex]
Circumference of a circle: [tex]2\cdot 27\cdot \pi=54\pi[/tex]
Area of sector: [tex]27^2\pi\cdot \frac{80}{360}=162\pi[/tex]
Arc length of sector: [tex]2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi[/tex]
1. A quadrilateral has one pair of parallel sides with lengths 2 inches and 3 inches, and two angles that each measure 42 degrees What is the shape of the quadrilateral?
Answer:
34
Step-by-step explanation:
Rotate 180 - clockwise.
Answer: (-4,-1), (-2,-1), (-5,-4), and (-1,-4)
Step-by-step explanation: The formula for finding the rotation of points on a graph depends on how far you want to rotate the point; r90°(x,y) = (-y,x), r180°(x,y) = (-x,-y), and a r270°(x,y) = (y,-x).
r180°(1,4) = (-1,-4) r180°(5,4) = (-5,-4) r180°(2,1) = (-2,-1) r180°(4,1) = (-4,-1)
I hope this helps, have a nice day.
∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 3 x + 25 ) ∘ ∠A=(3x+25) ∘ and m ∠ B = ( 5 x − 7 ) ∘ ∠B=(5x−7) ∘ , then find the measure of ∠ A ∠A.
Answer:
52º
Step-by-step explanation:
Complementary angles are a set of angles that add up to 90º. Knowing this, we can find the value of x by setting the sum of these two angles equal to 90. For example:
3x + 25 + 5x - 7 = 90
8x + 18 = 90
8x = 72
x = 9
Now that we know our x value, we can find the measure of angle A. Simply plug in the value of x to the measurement of angle A, which is 3x + 25.
3(9) + 25 = 52º
which ordered pair is a solution of the equation
Answer:
A
Step-by-step explanation:
y - 3 = 5(x - 2)
y - 3 = 5x - 10 Add 3 to both sides
y = 5x - 7
Let x = 2
y = 5*2 - 7
y = 3
So (2,3) works
Let x = 3
y = 5*3 - 7
y = 15 -7
y = 8
The answer is A
Which graph represents equation (x-4)^2+(y+2)=16
F
H
G
I
Why is this? Recall that (x-h)^2+(y-k)^2 = r^2 is the general template of a circle. The center being (h,k) and the radius is r.
For the equation (x-4)^2+(y+2)^2 = 16, we have a center of (4,-2) and radius 4. Note that 4^2 = 16.
The graph of choice G shows these properties so that's why it's the answer. Keep in mind that each tickmark represents 2 units. Choice I is close since the center is correct but the radius is too small.
What strategies do you use when measuring the volume of a rectangular prism? Share your thinking using 2-3 sentences.
you wanna know my strategy? I grab a hammer, smash the rectangular prism open, and drink its insides and see how much my stomach fills. EZ.
Need help ASAP
PLEASEEE
Answer:
x = 14
Step-by-step explanation:
The 2 given angles are vertical angles abd are congruent, so
4x - 22 = x + 20 ( subtract x from both sides )
3x - 22 = 20 ( add 22 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Then
x + 20 = 14 + 20 = 34°
4x - 22 = 4(14) - 22 = 56 - 22 = 34°
A cylindrical can is 16 cm in diameter and 25 cm in
height. You want to enlarge the diameter of the can to
20 cm. What must the height be if the new can still has
the same volume?
Answer:
Step-by-step explanation:
Can someone please help me out with this? *with full explanation
no bots please, thank you!!
Answer:
Well if perminder = 52ft that means x=5b8
Step-by-step explanation:
HELP ON PAGE 25 POINTS
Answer:
Part A: ≈112.06
Part B: B
Step-by-step explanation:
Find the surface area and volume for the separate shapes, then add them up together
---------------------------------------------------------------------------------------------------------------
Have a good day :)
Help me please please
Answer:
a)
[tex]EH = \sqrt{HG^2+EG^2} = \sqrt{4^2+6^2} = \sqrt{16+36} = \sqrt{52} = 2\sqrt{13}[/tex]b)
EG² = GH*GFEG² = 4*12EG² = 48EG = √48 = 4√3which is the solution to the inequality y - 27 - 13
Answer:
-40
Step-by-step explanation:
y−27−13
=y+−27+−13
Combine Like Terms:
=y+−27+−13
=(y)+(−27+−13)
=y + −40
Please help me solve this
==========================================
Explanation:
Multiply the numbers up top to get 1 times -3 = -3
Do the same for the numbers underneath: 2 times 4 = 8
The final answer is the fraction -3/8
The fraction cannot be reduced further. Why not? Because 3 and 8 don't have any factors in common other than 1.
If you need to convert to decimal form, use long division or a calculator to find that -3/8 = -0.375
Solution :
[tex] \rightarrow \frac{1}{2} \times \frac{ - 3}{4} [/tex]
[tex] \rightarrow \: \frac{1 \times - 3}{2 \times 4} [/tex]
[tex] \rightarrow\frac{ - 3}{8} [/tex]
hope it helps you !!
( ╹▽╹ )
use the least common denominator to enter an equivalent fraction for each fraction
1/7, 1/8
The least common denominator of the fraction is ___
1/7=
1/8=
Answer:
56
Step-by-step explanation:
LCD = 56
Equivalent Fractions with the LCD
1/7 = 8/56
1/8 = 7/56
4.
15
33
What is the value of x round to the nearest tenth
Answer:
31.9
Step-by-step explanation:
cos(15°)× 33 = 31.87~ 31.9
Element X is a radioactive isotope such that every 16 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 5900 grams, how much of the element would remain after 27 years, to the nearest whole number?
Answer:1832
Step-by-step explanation:
If you have a balance of 1,000 on your edit card and the interest rate is 17 3/4% a year in order to pay off the $100 in 5 years
Answer:
$2,263.63
Step-by-step explanation:
You start with "if" but don't end with what your goal is. I will assume that you want to know how much you'll have to pay after 5 years to pay off this $1,000 loan.
Use the compound amount formula A = P(1 + r)^5. Replacing P with $1,000, r with 0.1775 and t with 5 years, we get the payoff balance
A = $1,000(1 + 0.1775)^5 = $2,263.63
95 is what percent of 20 ?
Answer:
475%
Step-by-step explanation:
95/20 × 100
hope it helps
If the answer is 19
u need to reciprocate it
20/95 × 100
u will get ur answer how the Question language is wrong as per the answer
Answer:
Step-by-step explanation:
let be the x%
according to the question ur equation is
95=x/100*20
95*100=20x
9500/20=x
475=x
a picture has painted 75% of a wall the area so far is 108 square feet what is the total area of the wall that he needs to paint ?
Answer:
27 more
Step-by-step explanation:
k
miss bella's mathematics class consists of 6 sophomores 12 juniors and 10 seniors how many different ways can miss bell create a five member committee of seniors if each senior has an equal chance of being selected
Answer:
792
Step-by-step explanation:
Find the value of x. Round your answer to the nearest tenth.
68°
х
24
The value of x is about ___
Answer:
9
Step-by-step explanation:
cos(68°)×24= 8.99 which can be rounded to 9
Bobby mows his neighbors' lawns to raise money to buy a new bike. He charges $5 and then $10 for each hour it takes him to mow the yard. He uses the equation C=5+10h to calculate costs. How many hours does he have to mow for if the bike costs $165?
Answer:
$16
Step-by-step explanation:
Given data
Flat Charge= $5
Fee per hour= $10
The expression describing the total cost is
C= 5+10h
For C=$165, we can find h as
165=5+10h
165-5=10h
160=10h
h= 16
Hence the cost per hour would be $16
Rachel has 90p. Simon has £2.
Write the ratio of the amounts of money Rachel and Simon have. Give your answer in its simplest form.
PLEASE HELP GUYS
Solve
No links!!!
I will give brainlest
& send links get reported
Answer:
12 no .
x+2(4/5)=3(1/6)
x+5*2+4/5=6*3+1/6
x+14/5=19/6
5*x+14/5=19/6(do cross multiplication)
6(x+14)=19*5
6x+84=95
6x=95-84
x=11/6
Step-by-step explanation:
13 no
-0.4a+1.2=3.6
-0.4a=3.6-1.2
a=2.4/-0.4
a=-6
Angles not necessarily drawn to scale
Answer:
Angle EGB=77 degree(being vertically opposite angle)
angle CGE+angle EGB=90(being perpendicular)
x+77=90
x=90-77
x=13 degree
Step-by-step explanation:
I need help with this
Answer:
its a personality test im not alowwed to help
Step-by-step explanation: