A line passes through the points (−200,−4.03×10^4) and (50,9.7×10^3). Find the value of y when x=100. Write your answer in scientific notation.

Answer:  B) Circle

Step-by-step explanation:

First, complete the square:

x² + 2x +  1    + y² - 8y +  16   = 13 +  1   +  16  

       ↓       ↑             ↓         ↑

   (2/2) = (1)²          (-8/2) = (-4)²

       (x + 1)²    +             (y - 4)²   =  30

The result is a circle whose center is (-1, 4) and radius is √30

conic section of the equation  B .Circle.

A conic section (or simply conic, sometimes named a quadratic curve) exists as a curve acquired as the intersection of the surface of a cone with a plane.

The word canonical is used to indicate a particular choice from of a number of possible conventions. This convention allows a mathematical object or class of objects to be uniquely identified or standardized.

Canonical equation for circle is (x — x0)2 + (3, yo)2 = R2 ,

hence (x + 1)2 + (y — 3)2 = 4 describes a circle.

conic section of the equation  B .Circle.

Standard form of a mathematical object is a standard way of presenting that object as a mathematical expression.

Often, it is one which provides the simplest representation of an object and which allows it to be identified in a unique way.

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Answer:

circle and rectangle

Step-by-step explanation:

we know that

A cross section that is perpendicular to the base of cylinder is a rectangle

A cross section that is parallel to the base of cylinder is a circle

A cross section that is angled to the base of cylinder is an oval

Final answer:

A plane intersecting a cylinder can create a circle if perpendicular to the cylinder's axis, or a rectangle if cut parallel to the side of the cylinder. Ellipses are also possible when the cutting angle is oblique, and may look circular from certain perspectives. Triangles, line segments, and points are not typical cross sections for a cylinder.

Explanation:

When a plane intersects a cylinder, several different cross sections can result, depending on the angle and position of the plane relative to the cylinder. If the plane is perpendicular to the axis of the cylinder, the cross section will be a circle. If the plane intersects the cylinder at an angle to the axis, the cross section can be an ellipse, which in some cases may appear to be a circle depending on the perspective. A plane intersecting parallel to the side of the cylinder will produce a rectangle. It is not possible for a cylinder to have a triangular, line segment, or point as a cross section through normal slicing, as these do not represent the way planes intersect with the smooth curved surface of a cylinder.

Answer:

The initial value of the given geometric sequence is 2.

Step-by-step explanation:

The given points are (1,2), (2,4) and (3,8).

It means the first term is 2, second term is 4 and third term is 8. So, the common ratio is

[tex]r=\frac{a_2}{a_1}=\frac{4}{2}=2[/tex]

A geometric sequence is defined as

[tex]f(n)=ar^{n-1}[/tex]

Where, a is first term of the sequence, r is common ratio and n is number of term. In other words f(1) is the initial value of the geometric sequence.

The given geometric sequence is

[tex]f(n)=2(2)^{n-1}[/tex]

The value of f(1) is 2.

Therefore the initial value of the given geometric sequence is 2.

Answer:Just took the test, it is 2 on edg

Step-by-step explanation:

:)

Answer:

Answer 1:4 or 1/4

Step-by-step explanation:

30/120 reduced is 1/4 which would equal 1:4.

I'm learning this right now too well relearning and i hope i have helped you!

Answer:

1/4

Step-by-step explanation:

Answer:

58 deg

Step-by-step explanation:

Look at x and then look at the sides that are given... 9 is adjacent and 17 is the hypotenuse so use cosine.

cos(x)=9/17

To solve for x just use arccos( ) or cos^(-1)

Type cos^(-1)(9/17) into calc to receive answer (make sure mode is in degrees)

The answer should come to be roughly 58 deg.

Answer:

x ≈ 58.0°

Step-by-step explanation:

Since the triangle is right use the cosine ratio to solve for x

cosx° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{9}{17}[/tex], thus

x = [tex]cos^{-1}[/tex] ([tex]\frac{9}{17}[/tex] ) ≈ 58.0°

Answer:

[tex]V=5,676.16cm^3[/tex]

Step-by-step explanation:

The volume of a triangular prism is defined by the formula:

[tex]V=(area-of-base)*(length)[/tex]

In this case the base is triangular and the area of a triangle is: [tex]A=\frac{1}{2}(base)*(height)[/tex]

Then the volume is:

[tex]V=\frac{1}{2}(base*height*length)[/tex]

Now we have to replace with the given values:

[tex]V=\frac{1}{2}(22.4cm*18.1cm*28cm)\\\\V=\frac{1}{2}(11,352.32cm^3)\\\\V=5,676.16cm^3[/tex]

Then the correct answer is the third option.

[tex]V=5,676.16cm^3[/tex]

Answer:

5,676.16 is your answer 2021 Edge

I got it right

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Let L = lisa's age

seven years younger than Lisa

L-7

Answer:

Step-by-step explanation:

yes. polynomials only have rational numbers

Answer:

Step-by-step explanation:

Number of people that attended the party= 24.....let this be x

Number of people that walked= 1/2 x

[tex]=\frac{1}{2} *24 =12[/tex]

Number of people that travel by bus= 1/4 x

[tex]=\frac{1}{4} *24= 8[/tex]

Number of people that go by taxi= the rest

[tex]=24-(12+8)=24-20=4[/tex]

The fraction that used taxis= those that used tax/total number of people

Those that used taxi=4

Total number of people=24

Fraction = [tex]\frac{4}{24} =\frac{1}{6}[/tex]

Fraction that did not use taxi = whole-fraction that used taxi

[tex]\frac{6}{6} -\frac{1}{6} =\frac{5}{6}[/tex]

Answer:

3.7

Step-by-step explanation:

To write 34/9 as a decimal you have to divide numerator by the denominator of the fraction.  

We divide now 34 by 9 what we write down as 34/9 and we get 3.7777777777778  

And finally we have:  

34/9 as a decimal equals 3.7777777777778

Please mark brainliest and have a great day!

Answer:3.8

Step-by-step explanation:

34/9

9 into 34 is 3 remainder 7

:. 34/9

= (9 x 3 + 7)/9

=3.777778

=3.8

Answer:

i would think A

Answer:P(B|A)is not equal P(B)

Step-by-step explanation:

The answer is C

Step-by-step explanation:

The pair of given triangles which satisfied the HL theorem of congruency is given by option C. Both right triangles with hypotenuse and one corresponding leg congruent.

HL theorem also named as Hypothenuse Leg theorem,

It states hypotenuse and any one leg of one right angled triangle is congruent to hypotenuse and corresponding leg of another right angled triangle.

This implies both the triangles are congruent using HL theorem.

To check which pair of triangles are congruent using HL theorem are as follow,

a. In the first pair of right angled triangles only hypotenuse is marked as congruent side of two different triangles.

So it is not true.

b. In the second pair of triangles,

Both the triangles are obtuse angled triangle.

It does not satisfied HL theorem.

So , it is also not true.

c. In the third pair of the right angled triangle,

Hypotenuse of both the triangle are marked congruent.

One of the corresponding leg is also congruent.

It satisfied the HL theorem.

And both the triangles are congruent to each other using HL theorem.

Option C. is true.

d. IN fourth pair of triangles,

Triangles are not right angled triangle.

It satisfied the SSS (Side -Side- Side) congruency theorem.

It is not a correct option for HL theorem.

Therefore, pair of triangles which satisfied the HL theorem of congruency is option C. Both right triangles.

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Answer:

I think the answer would be 5 divided by 50 times two to find the width.

Step-by-step explanation:

I think my answer above explains it well enough.

Answer: w(2w + 5) = 50

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Consider the smaller than sign as smaller or equal to sign as I couldn,t type the sign

-4(x+3)<-2-2x

Expand the bracket

-4x-12<-2-2x

Add 2x to both sides

-2x-12<-2

Add 12 to both sides

-2x<10

add 2x to both sides

0<10+2x

minus  10 on both sides

-10<2x

SImplify

-5<x

X is larger or equal to -5 which means the option A

Answer:

Option B (AB = 2.2 units).

Step-by-step explanation:

The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:

sin ABC / AC = sin BAC / BC.

Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:

sin 72 / 2.5 = sin BAC / 2.1.

Cross multiplying gives:

sin BAC = (2.1*sin 72)/2.5.

sin BAC = 0.79888747368.

Taking sin inverse on both sides gives:

BAC = arcsin (0.79888747368) = 53.0239949 degrees.

To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051  degrees.

Now applying the Sine Rule to find AB:

sin ACB / AB = sin ABC / AC.

sin (54.9760051) / AB = sin 72 / 2.5.

AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).

Therefore, AB = 2.2 units, i.e. Option B!!!

Answer: 36 units

Step-by-step explanation:

once you plot out the points, it shows a polygon. cut the polygon into a square and a triangle, and count the units to get the lengths, widths, and heights.

you find that the height of the square is 6, and the width is 5. multiply those to get the area of the square: 30.

the width of the triangle is 2 units, and the height is 6. multiply those to get 12, then divide it in half to get the area: 6.

then you add the area of the square to the area of the triangle to get the total area of 36 units squared.

hope this is an understandable explanation!!

Answer:

18 feet

Step-by-step explanation:

15-8+11=18

Answer:

1 < x < 2

Step-by-step explanation:

Given

1 < 3x - 2 < 4 ( add 2 to each of the 3 intervals )

3 < 3x < 6 ( divide each interval by 3 )

1 < x < 2

Answer:

A

Step-by-step explanation:

Edge 2021

Answer:

She is partially correct. There are 2 possible answers to this problem, and x - 2 = 3 is one of the answers. When applying the square root to both sides, the resulting answer could be either negative or positive. Therefore, applying the square root to both sides leads to the two following equations: x - 2 = 3 or x - 2 = -3.

Answer:

The second graph.

Step-by-step explanation:

In inverse variation, an increase in one variable leads to a decrease in the other value in the relationship.

xα1/y

x=k/y

meaning

xy= constant

Such a graph slants with a negative gradient from left to right of the Cartesian plane. (the second graph).

Answer:

it's B

Step-by-step explanation:

The distance between the pair of points A(-1,8) and B(-8,4)​ is 15.

In geometry, the distance formula is:

√(x2-x1)2+(y2-y1)2

Now we can just plug in the x and y values:

√(-1-8)2+(8-(-4)2

√(-1-8)2+(8+4)2

√(-9)2+(12)2

√(81+144)

√(225)

15

So our distance is 15 units.

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Final answer:

The distance between points A(-1,8) and B(-8,4) is calculated using the distance formula derived from the Pythagorean Theorem and is approximately 8.06 units.

Explanation:

To find the distance between two points on the Cartesian plane, you can use the distance formula, which is derived from the Pythagorean Theorem. In this case, the points are A(-1,8) and B(-8,4). The formula is as follows:

d = √((x2 - x1)² + (y2 - y1)²)

Here's how it's done step-by-step:

Subtract the x-coordinates of the two points: -8 - (-1) = -7.

Subtract the y-coordinates of the two points: 4 - 8 = -4.

Square both differences: (-7)² = 49 and (-4)² = 16.

Add the squares of the differences: 49 + 16 = 65.

Take the square root of the sum:
√65 approx 8.06.

Therefore, the distance between points A and B is approximately 8.06 units.

Shown below

The first system of inequality is the following:

[tex]\left\{ \begin{array}{c}y>2x+\frac{2}{3}\\y<2x+\frac{1}{3}\end{array}\right.[/tex]

To find the solution here, let's take one point, say, [tex](0,0)[/tex] and let's taste this point into both inequalities, so:

First inequality:

[tex]y>2x+\frac{2}{3} \\ \\ 0>2(0)+\frac{2}{3} \\ \\ 0>\frac{2}{3} \ False![/tex]

The region is not the one where the point [tex](0,0)[/tex] lies

Second inequality:

[tex]y<2x+\frac{1}{3} \\ \\ 0<2(0)+\frac{1}{3} \\ \\ 0<\frac{1}{3} \ True![/tex]

The region is the one where the point [tex](0,0)[/tex] lies

So the solution in this first case has been plotted in the first figure. As you can see, there is no any solution there

First inequality:

[tex]y<2x+\frac{2}{3} \\ \\ 0<2(0)+\frac{2}{3} \\ \\ 0<\frac{2}{3} \ True![/tex]

The region is the one where the point [tex](0,0)[/tex] lies

Second inequality:

[tex]y>2x+\frac{1}{3} \\ \\ 0>2(0)+\frac{1}{3} \\ \\ 0>\frac{1}{3} \ True![/tex]

The region is not the one where the point [tex](0,0)[/tex] lies

So the solution in this first case has been plotted in the second figure. As you can see, there is a solution there.

CONCLUSION: Notice that when reversing the signs on both inequalities the solution in the second case is the part of the plane where the first case didn't find shaded region.

Answer:

x=7

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

(-8-9)/(x-(-3))=-17/10

-17/x+3=10

-17/7+3=10

-17/10=10

To find the missing value so that the two points have a slope of -17/10, we can use the slope formula. Substituting the coordinates into the formula, we get an equation -17/(x + 3) = -17/10. Solving for x, we find x = 7.

To find the missing value so that the two points have a slope of −17/10, we can use the slope formula. The slope formula is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, the first point is (-3, 9) and the second point is (x, -8).

Substituting the coordinates into the slope formula,

we have (-8 - 9) / (x - (-3)) = -17/10.

Simplifying this equation,

we get -17 / (x + 3) = -17/10.

Cross multiplying, we find x + 3 = 10.

Solving for x, we subtract 3 from both sides, giving x = 7.

Therefore, the missing value is 7.

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Answer:

C

Step-by-step explanation:

The area (A) of a regular decagon is

A = [tex]\frac{1}{2}[/tex] perimeter × apothem

perimeter = 10 × 8 = 80 in, thus

A = 0.5 × 80 × 12.3 = 492 in² → D

Answer:

8s + 4(4s - 3) = 4(6s + 4) - 4

8s + 16s - 12 = 24s + 16 - 4

24s - 12 = 24s + 12

This equation has no solution.

Answer:

0 and -5/2

Step-by-step explanation:

g is the first function we consider because that is the function we are first plugging in values into since the order is f o g and not g o f.

g has domain all real numbers meaning you can plug in any number into g and get a number back

So now let's look at plugging in g(x) into f(x)

that is f(g(x))=f(2x^2+5x)=5/(2x^2+5x)

Here you are dividing by a variable

You have to watch out dividing by 0

The variable, 2x^2+5x, is 0 when....

2x^2+5x=0

x(2x+5)=0

x=0 or x=-5/2

So The domain is all real numbers except x=0 or x=-5/2

[tex](f \circ g)(x)=\dfrac{5}{2x^2+5x}\\\\2x^2+5x\not =0\\x(2x+5)\not=0\\x\not =0 \wedge x\not =-\dfrac{5}{2}[/tex]

Answer:

[tex]\large\boxed{\dfrac{6x^2-54}{5x^2+15x}=\dfrac{6(x-3)}{5x}=\dfrac{6x-18}{5x}}[/tex]

Step-by-step explanation:

[tex]6x^2-54\qquad\text{distributive}\\\\=6(x^2-9)=6(x^2-3^2)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=6(x-3)(x+3)\\\\5x^2+15x\qquad\text{distributive}\\\\=5x(x+3)\\-----------------\\\\\dfrac{6x^2-54}{5x^2+15x}=\dfrac{6(x-3)(x+3)}{5x(x+3)}\qquad\text{cancel}\ (x+3)\\\\=\dfrac{6(x-3)}{5x}=\dfrac{6x-18}{5x}[/tex]

Answer: The answer is 10

Answer:

10

Step-by-step explanation:

math