Answer:
x^4 +y+1
Step-by-step explanation:
The quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, -17) is [tex]-17(x-1)^{2}[/tex].
What is vertex form of a quadratic function?The vertex form of a quadratic function is [tex]f(x) = a(x-h)^{2} + k[/tex] where a, h, and k are constants and (h, k ) is the vertex of the graph of the function.
According to the given question we have
The graph has the vertex is (1, 0) and passes through (2, -17)
Since, the general form of a quadratic function in a vertex form is
[tex]y = a(x-h)^{2}+ k[/tex]
substitute, h = 1 and k = 0 in the above equation
⇒ [tex]y = a(x-1)^{2} +(0)^{2}...(i)[/tex]
Also, the graph passes through the point (2, -17)
⇒ [tex]-17 = a(2-1)^{2}[/tex]
⇒ -17 = a or a = -17
Substitute the value of a in equation (i).
⇒[tex]y = -17(x-1)^{2}[/tex]
Therefore, the quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, -17) is [tex]-17(x-1)^{2}[/tex].
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Pls answer. i will mark u as branliest
Answer:
120°
Step-by-step explanation:
you can divide the shape into 4 triangles
each triangle is 180°
180 x 4 = 720
720 divided by the number of angles (6) is 120
Answer:
120
Step-by-step explanation:
360/3=120
Joe spent $48 on fruit at the grocery store. He spent a total of $50 at the store. What percentage of the total did he spend on fruit?
Answer:
96%
Step-by-step explanation:
Take the amount spent of fruit and divide by the total
48/50
Percent means out of 100 so multiply the top and bottom by 2
96/100
96%
Answer:
If Joe has a total of 50 dollars and uses only 48 dollars and you are trying find the percentage of how much he spent, all you need to do is take the amount of money he use dives it by how much money he had in the beginning. Then multiply the number by 100 to get the percentage.
48/50=.96
.96*100=96%
In total he spent 96% of his money.
What is the correct solution to the equation 2x+7 = 19 a) x = 6 b) x = 13 c) x = 12 d) x = 2.5
Answer:
a
Step-by-step explanation:
2x +7= 19
2x= 19 -7 (-7 on both sides)
2x= 12 (simplify)
x= 12 ÷2
x= 6
Answer:
a
Step-by-step explanation:
Given
2x + 7 = 19 ( subtract 7 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
PLEASE HURRY IM TIMED ASAP WILL MARK BRAINLIEST
Which of the following are solutions to x > 5? (Check all that apply.)
8
5.2
5
0
6.7
82
Answer:
8,5.2,6.7,82 sorry i had to hurry up
Answer:
8
5.2
6.7
82
Step-by-step explanation:
all that are bigger than 5
(would really, reallly appreciate the brainliest)
solve it (3+2) ^2 -7 =
Answer:
18
Step-by-step explanation:
PEMDAS
(3+2)=5
5^2=25
25-7=18
WILL GIVE BRAINLIEST ANSWER TO WHOEVER IS ABLE TO FULLY AND CORRECTLY ANSWER THIS QUESTION. Consider and trapezoid in the following image and use them to answer the questions below. is a right triangle and trapezoid is isosceles. Do NOT use the law of cosines, use our knowledge from the content of this course. a. Describe how to find the lengths of segments and . Show your answers for this question. Explain how you can be confident your calculations are correct. b. Describe how to find the angle measures of and . Explain how you can be confident your calculations are correct. c. Are there any segments or angles you can’t calculate based solely on the information in the image? Why? d. If we drew a median into trapezoid and the given measurement of that median was 21.425, would that change your answer for part c of this question?
This is an isosceles trapezoid, because the two angles are supplementary on the right side.
y is 25 based on the Pythagorean theorem
w is sqrt (850)=29.15
z must be 15
Making a right triangle to look at the altitude
cos 59=a/15, so a is 7.73 between the right corner and the edge of x
That means x is 29.15-2(7.73)=13.69
=============
The median should be half way between 13.69 and 29.15
That is half their sum, or half of 42.84 or 21.42
That doesn't change the answer above
Once I know the trapezoid is isosceles, the angles at the base have to be 59d and the angles at the top 121d.
please mark brainliest!
Can someone please help me please only do if you know how to do geometry thank you thank you thank you
Answer:
AAA would be the answer
Step-by-step explanation:
The answer would be AAA because they both have equal angles. 90 and 45. Because they are vertical angles, where they intersect at S is also an congruent angle. Angle U is congruent to angle Q and so on.
Answer:
AAA
Step-by-step explanation:
Solve the following inequality:
-5.3 > 1 – 2(-5x - 1)
Answer:
Submit Answers
Answer:
X< -1.26
Step-by-step explanation:
Combine like terms and solve like any other two step equations
Answer:
X< -1.26
Step-by-step explanation:
what is the area of this quadrilateral 30 square feet 12 square feet 42 square feet 36 square feet
Answer:
Step-by-step explanation:
The rectangle in the middle has an area of 30 because it is a 3x10.
The triangles each have an area of 6 because they are a 3x4 and the forumla to find it is .5(bh) which is .5(12)=6. There are 2 of them so the total area of the triangles add up to 12.
Add the area and get 42. 30+12=42
PLEASEEE HELP ME WITH THIS QUESTION!!!!!!! ASAP PLEASE ANSWER IT CORRECTLY AND NO GUESSING!!!!!!
Which of the following is true about Debit Cards?
A= When you use a Debit Card you pay the bill at the end of the month with interest.
B= Debit cards withdraw money from your bank account
C= Debit cards are a way for you to borrow money.
Answer:
the answer
is b
i hope that helps
Need help !!! If f(x) = 3x+10 and g(x) = 5x-3,find (f+g)(x)
Answer:
8x+7
Step-by-step explanation:
Use the given functions to set up and simplify
(f+g)(x)
Answer:
8x + 7
Step-by-step explanation:
(f+g)(x)= f(x) +g(x) = 3x + 10 + 5x - 3 = 8x + 7
I just need help with it all I don't know really what to do
Answer:
Step-by-step explanation:
If 35 gms of pure drug are contained in 150 mls, how many grams are contained in 75 mls?
Answer:
17.5
Step-by-step explanation:
The ratio of "pure drug" to liquid is 35:150
Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2
we can then multiply 35 by the ratio 1/2
35/2=17.5
State the answer
In 75 mls there are 17.5 grams of pure drug
The amount of the pure drug in 75 ml will be 17.5 grams.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The ratio of the two proportional items will remain the same.
The amount of the drug is directly proportional to the contained liquid.
If 35 gms of the pure drug are contained in 150 ml.
Then the amount of the pure drug in 1 ml will be
⇒ 35 / 150
⇒ 0.2333 grams per ml
Then the amount of the pure drug in 75 ml will be
⇒ 0.2333 x 75
⇒ 17.5 grams
The amount of the pure drug in 75 ml will be 17.5 grams.
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help this is for special right triangles 30-60-90
Answer:
y = 10, x = 10sqrt3
Step-by-step explanation:
30-60-90 right triangles follow the ratio of x:xsqrt3:2x
In this case, 2x = 20, so y = x = 10, and x = xsqrt3 = 10sqrt3
If you are curious as to how to find these ratios, I suggest noticing that the 30-60-90 triangle is really just half of an equilateral triangle.
Answer:
x = 10sqrt(3) = 17.3
y = 10
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The short leg is half the hypotenuse.
hypotenuse = 20
short leg = y = 20/2 = 10
The long leg is sqrt(3) times the short leg.
long leg = x = 10sqrt(3) = 17.3
what is the smallest prime that is a factor of the sum 51+ 1?
Answer:
the smallest prime factor of 52 is 2
Step-by-step explanation:
What is the smallest prime that is a factor of 52?
52 = 4*13, or 52 = 2*2*13. So the smallest prime factor of 52 is 2.
1. John is building a miniature model of a building on campus. The dimensions of
the building are 95 ft x 80 ft x 30 ft. The model is 1/10th the dimensions of the
building. Sketch the model, then find the volume of the model.
Answer:
228 ft^2
Step-by-step explanation:
1/10 of the given dimensions are 9.5 ft by 8 ft by 3 ft.
The volume of the model is thus (9.5 ft)(8 ft)(3 ft) = 228 ft^2
An equivalent expression for sin x is?
(please answer with steps)
Answer:
b
Step-by-step explanation:
Using the trigonometric identity
sin2x = 2sinxcosx
That is the angle on the right side is half the angle on the left, thus
sinΘ = 2sin([tex]\frac{1}{2}[/tex] Θ )cos([tex]\frac{1}{2}[/tex]Θ ) → b
Which expression represents a rational number?
StartFraction 5 Over 9 EndFraction + StartRoot 18 EndRoot
Pi + StartRoot 16 EndRoot
StartFraction 2 Over 7 EndFraction + StartRoot 121 EndRoot
StartFraction 3 Over 10 EndFraction + StartRoot 11 EndRoot
Answer:
[tex]\frac{2}{7}+\sqrt{121}[/tex]
Step-by-step explanation:
Given: expressions
To find: expression that denotes a rational number
Solution:
A number of the form [tex]\frac{p}{q}[/tex] where p and q are integers and [tex]q\neq 0[/tex] is said to be a rational number.
Sum of a rational and irrational number is irrational.
In [tex]\frac{5}{9}+\sqrt{18}[/tex], [tex]\frac{5}{9}[/tex] is a rational number and [tex]\sqrt{18}[/tex] is an irrational number
So, [tex]\frac{5}{9}+\sqrt{18}[/tex] is not a rational number.
In [tex]\pi+\sqrt{16}=\pi+4[/tex], [tex]\pi[/tex] is an irrational number and 4 is a rational number
So, [tex]\pi+\sqrt{16}[/tex] is not a rational number.
In [tex]\frac{2}{7}+\sqrt{121}=\frac{2}{7}+11=\frac{2+77}{7}=\frac{79}{7}[/tex], [tex]\frac{79}{7}[/tex] is a rational number
So, [tex]\frac{2}{7}+\sqrt{121}[/tex] is a rational number
In [tex]\frac{3}{10}+\sqrt{11}[/tex], [tex]\frac{3}{10}[/tex] is a rational number and [tex]\sqrt{11}[/tex] is an irrational number
So, [tex]\frac{3}{10}+\sqrt{11}[/tex] is not a rational number.
Answer:
2 / 7 + 12
Step-by-step explanation:
he is right i just took the test i just wanna help more ..
Prove that the diagonals of kite UVWX are
perpendicular
Step 1: Determine the slope of XV.
The slope of XV is
Step 2. Determine the slope of UW
The slope of UW is
Step 3. The slopes of the diagonals are
The diagonals of kite UVWX are
Answer:
The answer is the slope of XV is 1.
The slope of UW is -1
The slopes of the diagonals are negative reciprocals
The diagonals of kite UVWX are perpendicular
Step-by-step explanation:
Negative reciprocals in a kite create a perpendicular bisector. So the two lines share a midpoint so they are perpendicular.
One of the diagonal of a kite has a slope that is equal to the inverse
multiplied by (-1) of the other, therefore the diagonals are perpendicular
Reasons:
The proof that the diagonals of a kite are perpendicular is as follows;
The properties of a kite are;
The lengths of adjacent sides are equal
Therefore, taking the vertex at , U, as the origin, we have;
Coordinates of U = (0, 0)
Coordinates of V = (-a, b)
Coordinates of W = (0, c)
Coordinates of X = (a, b)
Step 1:
[tex]\displaystyle The \ slope \ of \ XV = \mathbf{ \frac{b - b}{x - (-x)} }=0[/tex]
The slope of XV is 0; XV is a horizontal line.
Step 2:
[tex]\displaystyle The \ slope \ of \ UW = \mathbf{\frac{c - 0}{0 - 0}} =\infty[/tex]
The slope of UW is infinity; UW is a vertical line.
Step 3:
The slope of the diagonals are; m₁ = 0, and m₂ = ∞
The above values satisfy the equation, [tex]\displaystyle m_2 = \mathbf{-\frac{1}{m_1}}[/tex]
Therefore;
The diagonals of kite UVWX are perpendicularLearn more about the characteristics of a kite here:
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Calculate the radius of the circular rug. Use 3.14 for π.
area of rug: 153.86 feet
Answer:
7 ft
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
153.86 = 3.14 r^2
Divide each side by 3.14
153.86 / 3.14 = r^2
49 = r^2
Take the square root of each side
sqrt(49) = sqrt(r^2)
7 = r
Solve the following equations.
28÷x+4=11
Answer:
x=-28/3
28/x=1-4
28/x=-3
28=-3x
-28/3=x
switch them around and that's your answer.
Answer:
x = 4
Step-by-step explanation:
28÷x+4=11
28/x + 4 = 11
Subtract 4 from each side
28÷x+4-4=11-4
28 / x = 7
Multiply each side by x
28/x * x = 7x
28 = 7x
Divide each side by 7
28/7 = 7x/7
4 =x
what are the solutions of 3x2+14x+16=0
Answer:
(x+2)(3x+8)
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!
Answer:
Sakura spoke for 2 minutes in Hungarian and for 3 minutes in Polish
Step-by-step explanation:
So make the variables.
Hungarian = x
Polish = y
x and y are the amount of time she spent in minutes.
x + y = 5
150x + 270 = 190y
x = 5 - y
750 - 150y + 270 = 190y
1020 = 340y
y = 3
x = 2
Luca is designing a propeller system that consists of 3 blades, each of which is identical. The blades are sectors of a circle that have radii of 4 inches and central angles of 20 . The blades are to be made from steel that weighs 16 grams per square inch. Determine the weight of the three blades together to the nearest gram.
Answer:
Total weight of blades = ~134gm
Step-by-step explanation:
Radius of circle, [tex]r[/tex] = 4 inches
Central angle of sector = [tex]20^\circ[/tex]
For finding the weight of blades, we need to find the area of blades.
Area of circle, A = [tex]\pi r^{2}[/tex]
We know that circle has a central angle of [tex]360^\circ[/tex].
We can use unitary method to find the area of sector with angle [tex]20^\circ[/tex].
Area of [tex]360^\circ[/tex] central angle = [tex]\pi r^{2}[/tex]
Area of [tex]1^\circ[/tex] central angle = [tex]\dfrac{\pi}{360} r^{2}[/tex]
Area of [tex]20^\circ[/tex] central angle = [tex]\dfrac{\pi}{360} r^{2} \times 20[/tex]
Putting value of r = 4 inches
Area of blade:
[tex]\dfrac{\pi}{360} \times 4^{2} \times 20\\\Rightarrow 2.79\ in^{2}[/tex]
We have 3 blades here, so area of 3 blades =
[tex]2.79 \times 3\\\Rightarrow 8.38\ in^{2}[/tex]
Weight of steel = 16 grams per square inch
Total weight of all 3 blades = 16 [tex]\times[/tex] 8.38 = ~ 134gm
Given that M angle KLH equals 120° which statement about the figure must be true?
Answer:
m∠HLI = m∠ILM
Step-by-step explanation:
What is the total surface area of this prism?
Answer:
Step-by-step explanation:
let us calculate area of pentagon.
it consists of 5 isosceles triangles with base=5 cm
apothem h=3.6 cm
area of pentagon=5×1/2×5×3.6≈45 cm
area of 2 pentagons (top and bottom)=2×45=90 cm²
lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²
Total surface area=90+300=390 cm²
Expand: (1 + 6x)(1 - 6x)
Answer:
6 x(6x)+6x*-1+1(6x)+1*-1 SIMPLIFIED: 36x^2-1
Step-by-step explanation:
Use foil and distributive property
How do i find the area i dont understand the formula
Answer:
The answer is A (97.5)
Step-by-step explanation:
Formula Using the Diagonals
That means the two diagonals form two sides of a square that is twice the size of the rhombus. You can find the area in square units of the rhombus by multiplying the lengths of the two diagonals (d1 and d2 ) and dividing by two.
(13)(15) /2 = 195 /2
(Decimal: 97.5)
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In triangle ABC points M and N lie on sides AB and BC, respectively such that MN∥ AC . Segments AN and CM intersect at point K and AK = KC. Prove that △ABC is isosceles.
Answer:
Try this solution, it consists of two parts (MN=8).
Step-by-step explanation:
Which is the graph of g(x) = 2x – 1 + 3? On a coordinate plane, an exponential function has a horizontal asymptote at y = 3 and crosses the y-axis at (0, 4). On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 3 and crosses the y-axis at (0, negative 2) On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, 7). On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, negative 1).
The graph of g(x) is an exponential function that crosses the y-axis at y = 3.5, and a horizontal asymptote at y = 3.5
The function is given as:
[tex]g(x) = 2^{x - 1} + 3[/tex]
Set x = 0, to calculate the y-intercept
[tex]g(0) = 2^{0-1} + 3[/tex]
Simplify the exponent
[tex]g(0) = 2^{-1} + 3[/tex]
Express 2^-1 as decimal
[tex]g(0) =0.5 + 3[/tex]
Add 0.5 and 3
[tex]g(0) =3.5[/tex]
This means that the graph of g(x) is an exponential function that crosses the y-axis at y = 3.5
Also, the graph of g(x) has a horizontal asymptote at y = 3.5
Read more about exponential graphs at:
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Answer:
3 graph
Step-by-step explanation:
