Answers
Answer:
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. ... The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
Step-by-step explanation:
Related Questions
(25 points)
Please show steps. Thanks in advance!
Divide:
[tex]4x^3+2x^2+3x+4[/tex] ÷ [tex]x+4[/tex]
[tex]-3x^3-2x^2-x-2[/tex] ÷ [tex]x-2[/tex]
Answers
Answer:
x^3+2x+2+2/x
Step-by-step explanation:
What is the true solution to 3 l n 2 l n 8 = 2 l n (4 x) x = 1 x = 2 x = 4 x = 8
Answers
The true solution of the [tex]\rm 3log2+log8=2log(4x)[/tex] is 2.
It is given that the:
[tex]\rm 3log2+log8=2log(4x)[/tex]
It is required to find the value of [tex]\rm x[/tex].
What is Logarithm?It is another way to represent the power of numbers ie.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
Some properties of Logarithm:
[tex]\rm logx+logy=log(xy)\\\rm x logy=logy^x[/tex]
We have:
[tex]\rm 3log2+log8=2log(4x)\\\\\rm By \ using \ properties \ of \ Logarithm\\\\\rm log2^3+log8=log(4x)^2\\\rm log(8\times8)=log16x^2\\\rm log64=log16x^2\\\rm 64=16x^2\\\rm 4=x^2\\x=2[/tex]
Thus, the true solution of the given expression is 2.
Learn more about the Logarithm here:
https://brainly.com/question/163125
Answer: B
Step-by-step explanation:
Simple because Im the man the simple
State if the two triangles are congruent. If they are, state how you know.
Answers
Answer:
AAS stand for "angle,angle,side" and means that we have two triangles where we know two angles and non- include side are equal.if two angles and the non include side of one triangle are equal to the corresponding
angles and side of another triangle, the triangle are congruent..
and the answer is B. not congruent
(x + y)/(x ^ 2 + xy + y ^ 2) + (x - y)/(x ^ 2 - xy + y ^ 2) - (2y ^ 3)/(x ^ 4 + x ^ 2 * y ^ 2 + y ^ 4)
Answers
Answer:
If the * is supposed to be multiplication, then my answer is : 2(x-y)/(x^2+y^2-xy)
Step-by-step explanation:
In the given figure, O is Center of circle. If AC//DB and angle ABC=50 , find angle ACD
Answers
Answer: 40 degrees
Step-by-step explanation:
Malik claims that a 120° angle and side lengths of 3 cm
and 4 cm can form more than one unique triangle. He
draws these triangles as proof. Is Malik correct? Explain
why or why not.
Answers
A 120° angle and the side lengths can form more than one unique triangles
Malik's claim about the triangle is true
How to prove or disprove Malik's claim?From the question, we have Malik's claim to be:
A 120° angle and side lengths of 3 cm and 4 cm can form more than one unique triangle
The above claim is true;
This is so because, the 120 degrees angle can be between the side lengths of 3 cm and 4 cm and the angle can be located not between the side lengths
This means that there are at least two unique triangles that can be formed using the given parameters
Hence, Malik's claim about the triangle is true
Read more about unique triangles at:
https://brainly.com/question/17972372
What adds to the bottom number but also multiplies to be the top?
Answers
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Answers
Answer:
-2.8 or -14/5
Step-by-step explanation:
To divide one fraction by another, there is a really cool method called Keep Change Flip
Keep the first fraction
Change the division sign to multiplication
Flip the numbers on the last fraction
Let's try it out.
Keep the 1/5
Change the ÷ to a ×
Flip the -1/14 to a -14/1
1/5 × -14/1
Multiply the top numbers by each other first
1 × -14 = -14
Now the bottom numbers
5 × -1 = -5
The fraction we have now is -14/5
It can also be written as -2.8
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
Answer:
[tex]-2b^2+17b-15[/tex]
Step-by-step explanation:
Given expression:
[tex](b^2+13b-9)-(6-4b+3b^2)[/tex]
Apply rule [tex](a)=a[/tex]:
[tex]=b^2+13b-9-(6-4b+3b^2)[/tex]
Apply the distributive law [tex]-(a-b)=-a+b[/tex] :
[tex]=b^2+13b-9-6+4b-3b^2[/tex]
Subtract the numbers:
[tex]=b^2+13b-15+4b-3b^2[/tex]
Group like terms:
[tex]=b^2-3b^2+13b+4b-15[/tex]
Combine like terms:
[tex]=-2b^2+17b-15[/tex]
Answer:The solution is in the attached file
Step-by-step explanation:
Choose the inequality that represents the statement.
You must get a 90 or higher to pass the course.
Answers
Answer:
C
Step-by-step explanation:
C because the symbol means Greater then or Equal too
So anything 90 or above would be true
ial
Some of these numbers have been rounded to one decimal place to give 7.8. Circle all
the possibilities
7.741
7.81
7.85
7.749
7.809
Answers
Answer:
7.8 is 7.81 because it hasn't changed 1-5 doesn't round up and this one didn't therefore the answer is 7.81 or 7.809
if the foci of an ellipse are the same ordered pair, is the comic a circle?
Answers
Answer:
yes
Step-by-step explanation:
1. Which container could logically have a capacity of 1,000 liters?
A. Kitchen sink
B. Bathtub
C. measuring cup
D. Hot tub.
Answers
Answer:
D. hottub
Step-by-step explanation:
If the circle has a diameter of 2 inches, then it has a circumference of 6.28 inches.
Answers
Answer:
True, the diameter=2in and the circumference=6.28
Step-by-step explanation:
The circumference, C, of a circle is found by the following equation: C = 2 x pi x r where r equals the radius of the circle (or half its diameter) and pi = 3.14159 (a constant).
Thus, 6.28 = 2 x pi x r
Solving for r: 6.28/(2 x pi) = r
or: 6.28/(2 x 3.14) = 6.28/6.28 = r
thus r = 1 and since the diameter equals 2 x r, the diameter is 2.
someone please help:)
Answers
Answer:
D, B, E
Step-by-step explanation:
Try plotting the graph on desmos
What does the STO button on a calculator do?
Answers
Answer:
The STO button stands for store so it will save the number in the memory and to get it back press m
pls help I am not very good at math.
Answers
Answer: Its D
Step-by-step explanation:
Thank me later.
Answer:
D
Step-by-step explanation:
4x - 12 - x ≥ 3
Add 12 to both sides.
4x - x ≥ 15
Subtract x (or 1x) from 4x
4x - x = 3x
3x ≥ 15
Divide both sides by 3.
x ≥ 5
Hope I helped :)
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Joshua is a year older than his sister McKay. The product of their ages is 33 more than 7 times Joshua’s age. How old are Joshua and McKay?
Answers
Answer:
Joshua is 11 and Mckay is 10.
PLEASE HELP ME ASAP!!
Answers
Answer: 121 meters
Step-by-step explanation:
In picture
5. What is the next number?
-9, -4, 1, 6,_
Answers
Answer:
11
Step-by-step explanation:
Because it's +5 every number
Answer:
11
Step-by-step explanation:
-9 +5=-4
-4+5=1
1+5=6
6+5=11
HELP ASAP ILL MARK BRAINLIST
What is the missing value for x on the diagram below? Round your answer to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
it's radius is 6 so diameter is 12 .
12^2+x^2=15^2
144+x^2=225
x^2=111
x=underradical111
Mansi ran 5,651 meters on Monday and 4,695 meters on Tuesday. How many more meters did she run on Monday than on Tuesday?
Answers
Answer:
956
Step-by-step explanation:
If you deposit $5000 into an account that pays 3% annual Interest compounded -annually, how much money will you have after 2 years?
Answers
Answer:
$5130.84
Step-by-step explanation:
100 + 3 = 103%
103% = 1.013
$5000 x 1.013^2 = $5130.84
Hope this helps!
find the value of each variable
Answers
Answer:
x = 7
y = 7√3
Step-by-step explanation:
Formulas : -
sin θ = opposite side / hypotenuse
When θ = 60,
Opposite side = y
Hypotenuse = 14
sin 60 = y / 14
√3 / 2 = y / 14
y = √3 x 14 / 2
= √3 x 7
y = 7√3
When θ = 30,
Opposite side = x
Hypotenuse = 14
sin 30 = x / 14
1 / 2 = y / 14
x = 1 x 14 / 2
= 1 x 7
x = 7
Note : -
The value of,
sin 30 = 1 / 2
cos 60 = 7√3
evaluate 2a(b + 8) if a = 3 and b = 5. A. 33 B. 38 C. 65 D. 78
Answers
Answer: 78
Explanation: Whenever we deal with an evaluation problem, make sure to always use parenthses when substituting numbers in for variables.
Notice that we have a set of parenthses in our original problem.
To avoid the confusion of having too many sets
of parenthses, let's change the parenthses to brackets.
So we have 2(3) [(5) + 8].
Simplifying from here, we have (6) [(13].
Multiplying, we get 78.
Answer:
D.
Step-by-step explanation:
6*13=78
Solve the absolute value equation, [x] – 2 = 5.
Answers
Answer:
x=7
Step-by-step explanation:
Ok so first off, the x variable being in absolute value form will not change the outcome of the problem at all since there are no other x variables in the equation.
x-2=5
(add 2 on both sides)
x=7
10. What is the coefficient of the X^3 term
of the product?
Answers
Answer:
This matrix is amplified by exponential sequencing
5E. Express the given fraction below in the simplest form.
Answers
Answer:
9/10
Step-by-step explanation:
3 1/3 can be written as 10/3
then we have 3/10/3 we then have 3x3/10 which equals 9/10.
What is the mean of this data set? {14, 7, 2, 8, 3} Enter your answer as a decimal in the box.
Answers
The mean of the data set is 6.8.
What is the mean?Mean is the average value of the given set of observations. In statistics, we also come across different types of mean such as Arithmetic, Geometric and Harmonic mean.
Given
The data set is 14, 7, 2, 8, 3.
The mean of the data set is given by;
[tex]\rm Mean = \dfrac{Sum \ of \ all \ data}{Number \ of \ data}\\\\Mean =\dfrac{14+7+2+8+3}{5}\\\\Mean = \dfrac{34}{5}\\\\Mean=6.8[/tex]
Hence, the mean of the data set is 6.8.
To know more about mean value click the link given below.
https://brainly.com/question/4209766
A path 5m wide runs along inside a rectangular field. The length of the rectangular field is three times the breadth of the field. if the area of the path is 500m2, then find the length and breadth of the field..
Answers
Answer:
Length = 45m
Breadth = 15m
Step-by-step explanation:
Dimensions of Rectangular field:
Let the breadth (B)=BC = x m
Length (L) = AB = 3x m
width of the road (w) = 5 m
Dimensions of inner rectangle:
length (l) = EF = L-2w
= 3x - 2×5
= (3x-10) m
breadth (b)=EH = B-2w
= (x-10) m
Given ,
Area of the path =500 m²
=> Area of ABCD - Area of EFGH = 500
=> L×B - l×b=500
=> (3x)× x - (3x-10)(x-10)=500
=> 3x²-(3x²-30x-10x+100)=500
=> 3x²-3x²+30x+10x-100=500
=> 40x=500+100
=> 40x = 600
=> x = 600/40
=> x = 15
Therefore,
Length (L) = 3x = 3×15 = 45m
Breadth (B) = x = 15m
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