Answer:
Blue: y = x²
Red: y = -x² + 18
Step-by-step explanation:
The blue parabola opens upwards, therefore the term in x² is positive.
The red parabola opens downwards, therefore the term in x² is negative.
The x-value of the vertices of both parabolas is x = 0.
Therefore, the equations of both parabolas will not have a term in x.
The y-intercept of the blue parabola is also the y-value its vertex: y = 0.
The y-intercept of the red parabola is also the y-value its vertex: y = 18.
Therefore, the equation for each parabola is:
Blue: y = x²Red: y = -x² + 18To check, substitute x = ±3 into both equations:
Blue
[tex]x=3 \implies y=(3)^2=9[/tex]
[tex]x=-3 \implies y=(-3)^2=9[/tex]
Red
[tex]x=3 \implies y=-(3)^2+18=9[/tex]
[tex]x=-3 \implies y=-(-3)^2+18=9[/tex]
Answer:
y = x2
y = –x2 +18
Step-by-step explanation:
I got it right on the test.
What is another name for the height of a pyramid?
A. Length
B. Width
C. Altitude
O D. Lateral face
SUBMIT
Answer:
Altitude
Step-by-step explanation:
Find another name for the height of a prism or a pyramid.
Since we know that the height of a prism or pyramid is the perpendicular distance between the two ends of a prism or pyramid.
We can find the height of the pyramid by dropping an altitude from the top of the pyramid to the base of the pyramid.
Note to moderators:
Please don't delete this answer because I'm just trying to help others.
The height of the pyramid is also called the altitude of the pyramid. Since both of these terms represent the same thing, we can use the two terms interchangeably. The correct option is C.
What is pyramid?A pyramid geometry is defined as a three dimensional object with a polygon as its base and the triangles forms the lateral faces which meet at a point above the base called the apex. The pyramids have different parts and some of these parts have more than one name.
The height of the pyramid indicate the perpendicular distance from the base of the pyramid to the apex of the pyramid. This line segment which is perpendicular to the base and runs from the base to the apex is defined as the altitude of the pyramid.
Based on the shape of the base, the pyramids are of many types like triangular pyramid, square pyramid, etc.
Thus the correct option is C.
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In the diagram below, \overline{MN}
MN
is parallel to \overline{JK}
JK
. If MNMN is 1212 more than LNLN, LK=33LK=33, and JK=55JK=55, find the length of \overline{LN}
LN
. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.
The value of the missing length LN of the similar triangles is; LN = 18
How to solve Similar Triangles?Similar triangles are defined as triangles that have the same shape, but their sizes may vary. This means therefore that, if two triangles are similar, then we can say that their corresponding angles are congruent and also their corresponding sides are in equal proportion.
In the given triangle attached, we can say that if we apply the concept of similar triangles, we will get;
LN/LK = MN/JK
We are told that;
MN is 12 more than LN. Thus; MN = 12 + LN
LK = 33
JK = 55
Thus;
LN/33 = (12 + LN)/55
55LN = 33(12 + LN)
55LN = 396 + 33LN
22LN = 396
LN = 396/22
LN = 18
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Henry wrote an ordered pair on an index card. (4, 8) The second number of any ordered pair indicates how far to travel in which direction a grid?
Find the general solution of the given system. dx/dt = 4x+ 5y dy/dt = 10x + 9y
(x(t), y(t)) =
x(t) = [tex]c_1e^1^4^t+c_2e^-^t[/tex] , y(t) = [tex]2c_1e^1^4^t-c_2e^-^t[/tex] is the general solution of the sytem of differention eqution dx/dt = 4x+ 5y , dy/dt = 10x + 9y .
given dx/dt = 4x+ 5y and dy/dt = 10x + 9y
X'(t) = [tex]\left[\begin{array}{ccc}4&5\\10&9\end{array}\right][/tex] X
where X = [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]
so A = [tex]\left[\begin{array}{ccc}4&5\\10&9\end{array}\right][/tex]
now we need to find eigen value of the matrix and the corresponding eigen vector.
| A- λI | = 0
so after equation the value to zero
λ = 14 and λ = -1
now for the λ = 14 corresponding eigen vector = [tex]\left[\begin{array}{ccc}1\\2\\\end{array}\right][/tex]
for λ = -1 corresponding eigen vector = [tex]\left[\begin{array}{ccc}1\\-1\\\end{array}\right][/tex]
So general equation is given by:
X(t) = [tex]c_1e^1^4^t[/tex] [tex]\left[\begin{array}{ccc}1\\2\\\end{array}\right][/tex] + [tex]c_2e^-^t[/tex] [tex]\left[\begin{array}{ccc}1\\-1\\\end{array}\right][/tex]
after solving this
x(t) = [tex]c_1e^1^4^t+c_2e^-^t[/tex]
y(t) = [tex]2c_1e^1^4^t-c_2e^-^t[/tex]
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Which of these arcs has a measure of 134 degrees?
• FJ
• DF
• EG
• DH
Answer:
[tex]df \: is \: correct \: answer[/tex]
Because the bisector of the vertex angle of an isosceles triangles the bisector of the base, m<BDA = m<CDA =
Answer: 90 degrees
Step-by-step explanation:
BD=CD
2(BD)= BC
2
Find the measure of angle B. Round your answer to the nearest whole number.
Answer: 37 degrees.
You use tan x to find the angle measure. So tan x = 9/12. When you plug it into a calculator, you get 36.86989765 so it rounds to 37.
Hope it helps.
Find the midpoint of A and B has coordinates (2,9) and B has coordinates (7,4)
Answer:
The midpoint is,
(4.5, 6.5)
Step-by-step explanation:
Here, we want to find the midpoint between the two points
mathematically, we use the midpoint formula here
We have this as;
m = (x2+ x1)/2, (y2+ty1)/2
where (x1,y1) = (2,9)
(x2,y2) = (7,4)
substituting these points, we have
m = (2+ 7)/2, (9 + 4)/2 = 9/2,13/2 = (4.5, 6.5)
For how many positive integers n does 1/n yield a terminating decimal with a non-zero hundredths digit?
The number which has a finite number of digits after the decimal point is a terminating decimal.
The decimal is said to be terminating decimal if that has a finite number of digits after the decimal point. Decimal numbers are used to represent the partial amount of whole just like fractions. The number which has a finite number of digits after the decimal point is referred to as a terminating decimal. A number has a terminating decimal expansion if the digits after the decimal point terminate or are finite. The fraction 5/10 has the decimal expansion of 0.5 which is a terminating decimal expansion because digits after the decimal point end after one digit. Terminating decimal has finite digits and non-terminating decimals do not have finite digits. A number with a terminating decimal is always a rational number.
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I don't know HOW TO DO THIS
Answer:
sorry, I forget how to do the other ones and I'm just as confused but for 4. AD is 20 and 5. GJ is 17
Step-by-step explanation:
4. side AD is equal to side CD so therefore its 20.
5. side are equal again so make
4x+5 = 2x+11
-5 -5
4x = 2x+6
-2x -2x
2x = 6
/3 /3
x = 3
2(3)+11
6+11
17
Triangle abc is to triangle efg because a vertical translation of units and a horizontal translation of units maps triangle abc onto triangle efg
Triangle ABC is translated to triangle EFG because a vertical translation of 10 units and a horizontal translation of 5 units maps triangle ABC onto triangle EFG.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
Triangle ABC.
A = (-9, -2)
B = (-9, -7)
C = (-7, -7)
Triangle EFG.
E = (-4, 8)
F = (-4, 3)
G = (-2, 3)
Now,
With a vertical translation of 10 units up on triangle ABC and 5 units right of the horizontal translation will give us triangle EFG.
i.e,
(-9, -2) = (-9 + 5, - 2 + 10) = (-4, 8)
(-9, -7) = (-9 + 5, -7 + 10) = (-4, 3)
(-7, -7) = (-7 + 5, -7 + 10) = (-2, 3)
Thus,
Vertical translation of 10 units up and horizontal translation of 5 units right.
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Answer:
1: Congruent
2: 10
3: 5
Step-by-step explanation:
4. The graph shows a nonlinear function.
4a. Write the equation of a second function that has a constant rate
of change of 0 and passes through (2, 1). What does its graph
look like?
4b. What is the difference in outputs of the two functions at x = 0? Explain.
4c. How many times do the graphs of the functions intersect? Explain.
d. For inputs between 1 and 0.5, which function has greater outputs? Explain.
4d. For inputs between -1 and 0.5, which function has greater outputs? Explain.
Answer:
A linear function is a special type of function whose graphs are straight lines (as their name suggests). Let’s look at a straight line and find out what this particular shape of graph tells us about the relationship between the input and the output of a linear function.
Step-by-step explanation:
pls mark as brainliest
ASAP
-WILL MARK BRIANIST
Answer:
d
Step-by-step explanation:
If -11y = -13, then y = 1.2
If -11y = -13, then y = 24
If -11y = -13, then y = -1.2
If -11y = -13, then y = 0.846154...
I don't know yet
Answer:
A.
Step-by-step explanation:
A = 1.18, but rounded, is 1.2
Answer:
A) -13.2
Step-by-step explanation:
it's the closest one
The library has 1,500 fiction books and 8,500 non-fiction books. What percentage of the books at the library are fiction books?
15%
If you take fiction plus non fiction it equals 10k books. 1500/10000 is 15%
What are the AGI and taxable income? Responses $35,468 and $23,068 $35,468 and $23,068 $47,468 and $35,468 $47,468 and $35,468 $47,868 and $12,400 $47,868 and $12,400 $35,468 and $12,400 $35,468 and $12,400 Gross Income $35,468 Adjustments 0 1 Exemption $12,400 Deduction 0
The amount of GI is $35,468.
The amount of taxable income is $23,068.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Gross income = $35,468
Exemption = $12,400
Deduction = 0
Adjustment = 0
Taxable income.
= Gross income - Exemption
= 35,468 - 12,400
= $23068
Thus,
GI and taxable income are $35,468 and $23,068
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Complete the equation of the line who’s y intercept is (0,-1) and slope is 4
Y=4x-1
The equation of a line is:
Y=mx+c
We are told that the slope is 4 which is also gradient, meaning that M=4
Now we are left with:
Y=4x+c
There are two ways to get C:
1. We know that C represents the y-intercept so immediately we can conclude that C=-1
2. You can work it out by substituting the coordinate for the X and Y value:
-1=4(0)+c
-1=C
So in conclusion, the equation of the line is:
Y=4x-1
May someone please help me with this :) I have to show my awnser :)
X = 38°
Step-by-step explanation:
The sum of the inner angles of a triangle is 180 degrees
Then.. :
136+ x= 180
180- 136= x
X= 44
88 + 44 + x = 180
142+ x = 180
X= 180-142
X = 38°
Espero haberte ayudado.
Please help me solve this equation. I need it ASAP! I included the question, and options for answers. Each step needs to have its own rule which I also included a picture of.
Answer:
reciprocal
Step-by-step explanation:
mark me brainliest pls
the diagram shows 2 mathematically similar vases. vase A has height 20cm and volume 1500^3. vase B has volume 2592cm^3. calculate h, the height of vase b.
The height of vase b is 34.56 cm.
What is volume?In mathematics, volume is the space taken by an object.
V=pi*r²*h
Here, given that,
vase A has height 20cm =H
and volume 1500^3. =V
And, A & B similar vases.
Again, vase B has volume 2592cm^3 =v
let, h, the height of vase b.
both radius are equal
so, we get, V/pi*H = v/pi*h
i.e. 1500/20=2592/h
so, h= 34.56 cm
Hence, the height of vase b is 34.56 cm.
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Parker could pay 45% of his college tuition with his scholarship. The remaining $10,500 he paid for a with a student loan. What was the cost of Parker's tuition? Show your work.
Answer:
5,775 for the cost of parking tuition
Step-by-step explanation:
45% = 0.45
0.45(10,500)= 4,725
10,500 - 4,725 = 5,775 for the cost of parking tuition
Joy is solving a quadratic equation of the form a2+bx+c=0 where b
and care integers.
She correctly solves the equation to get a = 3 ± √/13
Work out the values of b and c.
(3 marks)
b=
=
To find the values of b and c, we can use the quadratic formula:
[tex]x = (-b ± \sqrt{ (b^2 - 4ac)}) / 2a[/tex] which will give us the value B = -6 & C = -4
What is a quadratic equation.A quadratic equation is a second-order polynomial equation in one variable using the formula [tex]x = ax2 + bx + c = 0[/tex] and a 0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.
So the equation that she get is [tex]x^{2} -6x-4[/tex]
this means that x=3+√13 or 3-√13
which also equals to x=3+√13 & x-3-√13=0 and
x=3-√13
x-3+√13=0
which if you try to find the quadratic equation for this. you need to do it by this
(x-3+√13)(x-3-√13)
which will get you
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PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
second option is the answer
Step-by-step explanation:
Fot every action,there is an equal and opposite reaction
A billiard ball starts 86\,\text{cm}86cm86, start text, c, m, end text from the corner pocket, as shown. The ball rolls 120\,\text{cm}120cm120, start text, c, m, end text in another direction, hits a rail, and rolls another 100\, \text{cm}100cm100, start text, c, m, end text into the pocket. What is the angle between the paths before and after the ball hits the rail? Do not round during your calculations. Round your final answer to the nearest degree.
Answer:
45 Degrees
Step-by-step explanation:
Khan Academy
2 Dylan needs 2.5 liters of water for an experiment. He has 1.125 liters.
How much more water does Dylan need?
Show your work.
Dylan needs how many
liters of water.
So Dylan needs 1.375 liters of water more for his experiment.
Define percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
To find out how much more water Dylan needs, we can subtract the amount of water he currently has from the amount of water he needs for the experiment.
2.5 - 1.125 = 1.375 liters
So Dylan needs 1.375 liters of water more.
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F39) if x## is defined as x## = x² - x for all values of x, and A## = ( A - 2 )##, then what is the value of A?
The value of A in A## = ( A - 2 )## if x## = x² - x is 2 Or 3.
What are coding and decoding?Topics in the reasoning part include coding, decoding, and reasoning. One of the most frequently occurring portions in all of the important competitive exams specifically created for employment procedures and higher education is this one. Because Coding-Decoding and Reasoning problems can be difficult for some applicants to complete, they avoid them and lose some quick and simple marks.
Given, x## is defined as x## = x² - x.
Therefore,
A## = (A - 2)##
= (A - 2)² - (A - 2).
= A² - 4A + 4 - A + 2.
= A² - 5A + 6.
Let, A² - 5A + 6 = 0.
A² - 3A - 2A + 6 = 0.
A(A - 3) - 2 (A - 3) = 0.
(A - 3)(A - 2) = 0.
A = 3 Or A = 2.
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A square and an equilateral triangle are joined to form the polygon shown what is the sum of the interior angles of the polygon 240 degrees 360 degrees 420 degrees 540 degrees
Answer:
540°
Step-by-step explanation:
An equilateral triangle has 3 interior angles of 60°
A square has 4 interior angles of 90°.
When the images are joined, two vertices of each figures are joined together, such that these angles will have now a measure of:
60° + 90° = 150°
Then this figure has:
one angle of 60°
two angles of 150°
and two angles of 90°
(the image below illustrates this situation)
The sum of the interior angles is:
S = 60° + 2*150° + 2*90° = 540°
enlarge the triangle by scale factor 1.5 using (4,4) as the centre of enlargement
Answer:
Step-by-step explanation:
The coordinates for the enlargement would be (-5,4) (-5,-2) (-2,-2)
Given f(x) = 6(1-x), what is the value of f(-5)?
40. Four years ago, the age of Gopal was thrice the age of Ram. After 4 years, the age of Gopal would be
the age of Ram. Find their present ages.
gopal:44
ram:112
i think, i hope