To express b in terms of A and h, we use the formula for the area of a triangle. By rearranging the equation, we find that b = (2A)/h.
Explanation:To express b in terms of A and h in the formula for the area of a triangle, A = (bh)/2, we can rearrange the equation. First, multiply both sides of the equation by 2 to eliminate the fraction:
2A = bh
Next, divide both sides of the equation by h to isolate b:
b = (2A)/h
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Which quadrilateral is a trapezoid?
Answer:
BACD the third one I hope that this is right
The correct quadrilateral which is a trapezoid is shown in image 3.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
There are three figures are shown.
Now, We know that;
A trapezoid, which is also known as a trapezium, is a closed shape which having 4 straight sides, with one pair of parallel sides.
Hence, By given figures.,
The correct quadrilateral which is a trapezoid is shown in image 3.
Because it has one pair of parallel sides.
Thus, The correct quadrilateral which is a trapezoid is shown in image 3.
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Find the equation of a line through the points (3,7) and (5.11)
Answer:
y= 2x + 1
Step-by-step explanation:
We are asked to write an equation of that line that passes through points (3, 7) and (5, 11).
First of all, we will find slope of our given line using the coordinates of given points as:
Now, we will write our given equation in slope-intercept form , where m represents slope and b represents y-intercept.
Let us find the y-intercept using coordinates of point (3,7) and slope as:
Therefore, our required equation in slope-intercept form would be.
Which point is 12 units less than point Q?
(A).Point U
(B).Point R
(C).Point S
(D).Point V
Answer:
Point R
Step-by-step explanation:
Go back 12 points
Answer:
Point R
Step-by-step explanation:
Count back in points and you will figure it out
Which of the equations below could be the equation of this parabola?
Vertex (0, 0)
ОА. х = 3у2
Ов. х = -3y?
Ос. у= 3x2
O D. y=-3
Option C, [tex]y = 3x^2[/tex], is the equation that could represent the parabola with a vertex at (0, 0).
To determine which of the given equations could represent the parabola with a vertex at (0, 0), we need to consider the standard form of a parabolic equation: [tex]y = ax^2[/tex]
In this standard form, 'a' is a constant that determines the shape and orientation of the parabola. For a parabola with a vertex at (0, 0), the equation will be of the form [tex]y = ax^2[/tex].
Let's examine each option:
A. [tex]x = 3y^2[/tex]: This equation is not in the standard form [tex]y = ax^2.[/tex] It is a different type of equation and does not represent a parabola with a vertex at (0, 0).
B. x = -3y: Similarly, this equation is not in the standard form [tex]y = ax^2[/tex]. It represents a linear relationship between x and y, not a parabola.
C. [tex]y = 3x^2[/tex]: This equation is in the standard form [tex]y = ax^2[/tex], where a = 3. It represents a parabola with a vertex at (0, 0), so it could be the equation of the parabola in question.
D. y = -3: This equation is not in the standard form [tex]y = ax^2[/tex]. It represents a horizontal line with a constant value of -3, not a parabola.
Based on the analysis, Option C, [tex]y = 3x^2[/tex], is the equation that could represent the parabola with a vertex at (0, 0) in the standard form.
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Which fraction is equal to 5 3/4 ?
12/4
15/4
23/4
53/4
At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "80% chance of winning!" What is the chance that a player may not win?
Answer:
20%
Step-by-step explanation:
100-80=20
Answer:
20% chance a player may not win
Step-by-step explanation:
100- 80 = 20
Find the value of x.
Answer:
4
Step-by-step explanation:
First you would need to look at the line at the right. It has 2 parts, 3 and 2. When added you get 5.
As when you look at the other side it only has 2 and x.
To make it simple 5 - 1 = 4.
That is your final answer.
Hope this helps!
Answer:
x = 4
Step-by-step explanation:
In triangle BAC, DE || AC.
Therefore, by basic proportionality theorem:
[tex] \frac{x + 2}{x} = \frac{3}{2} \\ 2(x + 2) = 3x \\ 2x + 4 = 3x \\ 4 = 3x - 2x \\ 4 = x \\ x = 4[/tex]
Write 0.06 as a percent. Include the % symbol in your answer.
Solve for the roots in simplest form using the quadratic formula:
x2 – 14x = -50
Answer:
x2-14x+58=0
Two solutions were found :
x =(14-√-36)/2=7-3i= 7.0000-3.0000i
x =(14+√-36)/2=7+3i= 7.0000+3.0000i
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-14x+58
The first term is, x2 its coefficient is 1 .
The middle term is, -14x its coefficient is -14 .
The last term, "the constant", is +58
Step-1 : Multiply the coefficient of the first term by the constant 1 • 58 = 58
Step-2 : Find two factors of 58 whose sum equals the coefficient of the middle term, which is -14 .
-58 + -1 = -59
-29 + -2 = -31
-2 + -29 = -31
-1 + -58 = -59
1 + 58 = 59
2 + 29 = 31
29 + 2 = 31
58 + 1 = 59
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 1 :
x2 - 14x + 58 = 0
Step 2 :
Parabola, Finding the Vertex :
2.1 Find the Vertex of y = x2-14x+58
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 7.0000
Plugging into the parabola formula 7.0000 for x we can calculate the y -coordinate :
y = 1.0 * 7.00 * 7.00 - 14.0 * 7.00 + 58.0
or y = 9.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-14x+58
Axis of Symmetry (dashed) {x}={ 7.00}
Vertex at {x,y} = { 7.00, 9.00}
Function has no real roots
Solve Quadratic Equation by Completing The Square
2.2 Solving x2-14x+58 = 0 by Completing The Square .
Subtract 58 from both side of the equation :
x2-14x = -58
Now the clever bit: Take the coefficient of x , which is 14 , divide by two, giving 7 , and finally square it giving 49
Add 49 to both sides of the equation :
On the right hand side we have :
-58 + 49 or, (-58/1)+(49/1)
The common denominator of the two fractions is 1 Adding (-58/1)+(49/1) gives -9/1
So adding to both sides we finally get :
x2-14x+49 = -9
Adding 49 has completed the left hand side into a perfect square :
x2-14x+49 =
(x-7) • (x-7) =
(x-7)2
Things which are equal to the same thing are also equal to one another. Since
x2-14x+49 = -9 and
x2-14x+49 = (x-7)2
then, according to the law of transitivity,
(x-7)2 = -9
We'll refer to this Equation as Eq. #2.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-7)2 is
(x-7)2/2 =
(x-7)1 =
x-7
Now, applying the Square Root Principle to Eq. #2.2.1 we get:
x-7 = √ -9
Add 7 to both sides to obtain:
x = 7 + √ -9
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Since a square root has two values, one positive and the other negative
x2 - 14x + 58 = 0
has two solutions:
x = 7 + √ 9 • i
or
x = 7 - √ 9 • i
Solve Quadratic Equation using the Quadratic Formula
2.3 Solving x2-14x+58 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -14
C = 58
Accordingly, B2 - 4AC =
196 - 232 =
-36
Applying the quadratic formula :
14 ± √ -36
x = ——————
2
In the set of real numbers, negative numbers do not have square roots. A new set of numbers, called complex, was invented so that negative numbers would have a square root. These numbers are written (a+b*i)
Both i and -i are the square roots of minus 1
Accordingly,√ -36 =
√ 36 • (-1) =
√ 36 • √ -1 =
± √ 36 • i
Can √ 36 be simplified ?
Yes! The prime factorization of 36 is
2•2•3•3
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 36 = √ 2•2•3•3 =2•3•√ 1 =
± 6 • √ 1 =
± 6
So now we are looking at:
x = ( 14 ± 6i ) / 2
Two imaginary solutions :
x =(14+√-36)/2=7+3i= 7.0000+3.0000i
or:
x =(14-√-36)/2=7-3i= 7.0000-3.0000i
Two solutions were found :
x =(14-√-36)/2=7-3i= 7.0000-3.0000i
x =(14+√-36)/2=7+3i= 7.0000+3.0000i
R
Step-by-step explanation:
The roots of the given quadratic equation are (7+i) and (7-i).
The given quadratic equation is:
[tex]x^{2} -14x=-50[/tex]
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a≠0.
We can write the above equation as:
[tex]x^{2} -14x+50=0[/tex]
Using the Shreedharacharya formula to solve a quadratic equation
[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-14)+-\sqrt{(-14)^2-4*1*50} }{2*1}[/tex]
[tex]x=7+i\\x=7-i[/tex]
Where i=√-1
Hence, the roots of the given quadratic equation are (7+i) and (7-i).
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In a survey of students, 60% were in high school. The percentage of the students who were not in high school was?
Answer:
Is it 40?
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
There is a total of 100%.
If you subtract the amount that are in high school (60%) from 100%, then you would get 40%. Hope this helps! :)
What are the solutions to the system of equations? y=2x2−6x+3 y=2x+3 Enter your answers in the boxes. ( _,_ ) and ( _,_ )
Answer:
(0,3) and (4,11)
Step-by-step explanation:
Answer:
(0,3) AND (4, 11)
Step-by-step explanation:
y = 2(x^2) - 6x + 3
y = 2x + 3
Substitute
2x + 3 = 2(x^2) - 6x + 3
0 = 2(x^2) - 8x -->
0 = 2x(x - 4)-->
x = 0; 4 -->
y = 2(0) + 3 -->
y = 3
AND
y = 2(4) +3 -->
y = 11
(0,3) AND (4, 11)
A spinner is divided into eight equal sections. The sections are numbered 1, 2, 3, 4, 5, 6, 7, and 8. What is the probability of spinning a 2, 3, or a 4?
Answer:
A 30% chance
Solve 92x = 66.
Round to the nearest ten-thousandth.
Answer:
x = 66/92
Step-by-step explanation:
divide both sides by 92
Answer:
x=33/46
Step-by-step explanation:
92x/92=66/92
x=66/92
x=33/46
Your computer password has 4 capital letters followed by 4 digits. Your
friend randomly chooses 4 capital letters and 4 digits. How many different
passwords can be created?
4,569,760,000 different passwords can be created.
What is a Password?A password is a string of characters that allows access to a computer system or service.
How to solve it?There are 26 letters, four times. There are 10 numbers, four times. 26x26x26x26=456,976
10x10x10x10= 10,000
Final Answer: 4,569,760,000
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a 5/1
b 1/5
c 5/4
d 4/5
Answer:
The answer is b 1/5
Step-by-step explanation:
There are 5 sections in the spinner and 1 of the 5 is a three so it would be 1/5.
Find the first digit of the sum
√595 + √1111
Answer:
24.39262183530094+33.33166662499792 is the answer
Step-by-step explanation:
57.72428846029885
therefore the first digit is 5
I want Brainliest
Answer:
57.7242884603 its 5
Step-by-step explanation:
If Pamela was given a 15% off her $71 purchase, how much was the discount? *
An English teacher wants to know the
mean number of words students included
in recent essays. He randomly chooses
20 essays submitted by 180 students. He
records the word count of each one. His
data are shown below.
Bus route A arrives at its stop every 15 minutes. Bus route B arrives at its stop across the street every 40 minutes. If both buses are currently arriving at their stops, how many hours will pass before both buses arrive at the same time?
Answer:
120 minutes
Step-by-step explanation:
15 x 8 = 120
40 x 3 = 120
The Number of hours passed for both buses to arrive at the same time is the value of the least common multiple of the stop made by each bus. Hence, 120 minutes will pass before the buses arrive at the same time.
Bus route A = 15 minutes
Bus route B = 40 minutes
Multiples of :
15 = 15, 30, 45, 60, 75, 90, 105, 120, 13540 = 40, 80, 120, 160, 200, 240The least multiple common to both 15 and 40 is 120.
Therefore, 120 minutes will pass before both buses arrive at the same time.
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A polynomial of the 5th
5thdegree with a leading coefficient of 77 and a constant term of66
Answer:
77x^5+66
Step-by-step explanation:
The leading coefficient is the first number in the polinomial, the degree is the exponent and the constant is the last term
Answer:
7x5 + 2x2 + 6
Step-by-step explanation:
like it up!
On a coordinate plane, 2 lines intersect at (0, 5). What is the solution of the system of equations? ( , )
Answer:
(0,5)
Step-by-step explanation:
I think...
I'm 99.9% sure that I'm wrong...
it issssssss (0,5) booooooooooooooom now you get a A+ on yo assinement ITS COREECT ON EDGEUNITEE
what is the volume of this pyramid in cubic inches?
Answer:
The answer is 80, you multiply the numbers together to get volume.
the volume of a pyramid is 80 cubic inches .
HALP PLZ NOW
1) 1/2x + 1/4 = x
solve for x
Please help! im barely learning geo in middle school! dont really know much.
Answer:
26
Step-by-step explanation:
The hypotenuse is always the longest side of your right triangle and so the answer would be 26 since it is the largest number.
expand and simplyfy 2(3x-5) +3(2x+3)
Answer:
[tex]12x-1[/tex]
Step-by-step explanation:
Considering the expression:
[tex]2(3x-5) +3(2x+3)[/tex]
[tex]6x-10+6x+9\\12x-1[/tex]
Answer quickly please!
Find the perimeter of the figure to the nearest hundredth.
pretty please help meeee
Answer:
C= 72
Step-by-step explanation:
Because if AB=3 and AC= 9 and you solve and find all the side lengths you will get 71.565 for m<B and you round to the nearest degree its 72. Hopefully this helps you and you get it right. But I'm 100% it is 72.
Answer:
∠ B ≈ 72°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan B = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{9}{3}[/tex] = 3 , thus
B = [tex]tan^{-1}[/tex](3) ≈ 72° ( to the nearest degree )
Help me plzzzzzz 100% and ill give a a Brainlist
Answer:
V≈302ft^3
Step-by-step explanation:
The equation for finding volume of a cone with slant height and radius is 1/3πr^2√l^2-r^2 input the values and solve, then round to the nearest cubic foot and you get 302
Please mark as brainliest :)
i need help please on the question below please show working out ill give you the brainliest the first on to answer
Answer:
4.5
Step-by-step explanation:
2.18 x 7.31 = 15.9358
15.9 + 4.92 = 20.85
20.85 = 4.5
4.5 , hope this helps! and have a great day
-Dhruva;)
Helppp plzz! Four shapes are listed below.
I. Triangle
II. Parallelogram
III. Pentagon
IV. Hexagon
Which of these are possible cross sections of a cube?
A. I and II
B. I, II, and III
C. I, II, and IV
D. I, II, III, and IV
Answer:
the answers D all of them
Step-by-step explanation:
When a plane intersects a cube there is a variety of shapes of the resulting cross section.
a single point (a vertex of the cube)
a line segment (an edge of the cube)
a triangle (if three adjacent faces of the cube are intersected)
a parallelogram (if two pairs of opposite faces are intersected – this includes a rhombus or rectangle)
a trapezium (if two pairs of
a pentagon (if the plane meets all but one face of the cube)
a hexagon (if the plane meets all faces of the cube)
a pentagon (if the plane meets all but one face of the cube)
a hexagon (if the plane meets all faces of the cube)
The last five of these (the non-degenerate cases)
In a way we can get all the given shapes as a cross-section of a cube, the correct option is D
What is cross-section?A cross-section is the intersection of a plane in an object giving some specific shapes.
Given are the names of shapes, we need to identify we can be the possible shape for the cross-sections of a cube.
Since, when a plane intersects a cube there is are so many shapes getting as cross-section.
Therefore,
A triangle = three adjacent faces of the cube are intersected.
A parallelogram = two pairs of opposite faces are intersected (rhombus or rectangle)
A pentagon = the plane meets all but one face of the cube
A hexagon = the plane meets all faces of the cube
Hence, in a way we can get all the given shapes as a cross-section of a cube.
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