If you bike 8 miles south and then 6 miles east, what is the distance you are from your starting point? 10 miles 100 miles 14 miles

Answer:

Step-by-step explanation:

First of all, you have a typo. But that's ok, we can work around it. The equation NOT yet in standard form for an ellipse should be:

[tex]2x^2+8y^2=16[/tex]

Putting it into standard form requires that the right side of the equation equals 1. That means that we need to divide everything by 16 to accomplish that. When we do that, we will get the standard form:

[tex]\frac{x^2}{8}+\frac{y^2}{2}=1[/tex]

The general form is either

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex] or

[tex]\frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}=1[/tex]

where a is ALWAYS bigger than b. So if the bigger denominator is under the x numerator, this is an ellipse that is elongated horizontally. If the larger denominator is under the y numerator, then this is an ellipse that is elongated vertically. As you can see from our standard ellipse equation, the 8 is under the x numerator, so this is a horizontally elongated ellipse.

If [tex]a^2=8,[/tex] then [tex]a=\sqrt{8}[/tex] which is approximately 2.83 units.

If [tex]b^2=2,[/tex] then [tex]b=\sqrt{2}[/tex] which is approximately 1.41 units.

Since the ellipse is elongated horizontally, the a value starts at the center of the ellipse and goes 2.83 units to the right and left of the center; the b value starts at the center of the ellipse and goes 1.41 units both up and down from the center. But what's the center?

In the standard form above involving the h and the k in the numerators, the h and k indicate the coordinates of the center. h is like the x coordinate and k is like the y coordinate. Since our ellipse does not have [tex]c^2=8-2[/tex]a constant in a set of parenthesis for either the x or the y term, the center is at (0, 0). From the center then, we go go both right and left to (2.83, 0) and (-2.83, 0) for the vertices of the ellipse. The co-vertices would be (0, 1.41) and (0, -1.41).

The foci have the formula (h + c, k) for the focal point to the right of the center and (h - c, k) for the focal point to the left of the center. But how do we find c?

[tex]c^2=a^2-b^2[/tex]

We already know that [tex]a^2=8[/tex] and [tex]b^2=2,[/tex] so

[tex]c^2=8-2[/tex] and

[tex]c=\sqrt{6}[/tex]

That means that the foci have the coordinates [tex](\sqrt{6},0)[/tex] and [tex](-\sqrt{6},0)[/tex]

and you're done!!

Answer:

=15x−3

Step-by-step explanation:

Let's simplify step-by-step.

4x−−19x−13x−(−5x+3)

=4x+19x+−13x+5x+−3

Combine Like Terms:

=4x+19x+−13x+5x+−3

=(4x+19x+−13x+5x)+(−3)

Answer: =15x+−3

Hope this helps.

4x - {-19x + (-13x - (-5x + 3)]}

Answer:

=15x−3

Step-by-step explanation:

Let's simplify step-by-step.

4x−−19x−13x−(−5x+3)

=4x+19x+−13x+5x+−3

Combine Like Terms:

=4x+19x+−13x+5x+−3

=(4x+19x+−13x+5x)+(−3)

Answer: =15x+−3

Hope it's helpful please...?

Answer:

The value of x is 6.

Step-by-step explanation:

You have to use Pythagorean Theorem, a² + b² = c². Make (4x+1)cm as the hypotenuse because any values substitute into x will give the highest length among these 3 expressions of length :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Let a = side = (x+1)cm,

Let b = side = 4x cm,

Let c = hypotenuse = (4x+1)cm,

[tex] {(x + 1)}^{2} + {(4x)}^{2} = {(4x + 1)}^{2} [/tex]

[tex] {x}^{2} + 2x + 1 + 16 {x}^{2} = 16 {x}^{2} + 8x + 1[/tex]

Then you have to simplify :

[tex]17 {x}^{2} + 2x + 1 = 16 {x}^{2} + 8x + 1[/tex]

[tex]17{x}^{2} + 2x + 1 - 16 {x}^{2} - 8x - 1 = 0[/tex]

[tex] {x}^{2} - 6x = 0[/tex]

Next you have to solve it :

[tex] {x}^{2} - 6x = 0[/tex]

[tex]x(x - 6) = 0[/tex]

[tex]x = 0 \: (rejected)[/tex]

[tex]x - 6 = 0[/tex]

[tex]x = 6cm[/tex]

The value of x in the right triangle is 6 cm.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Right triangle:

The three sides are:

x + 1, 4x and 4x + 1

Applying the Pythagorean theorem.

(x + 1)² + (4x)² = (4x + 1)²

x² + 2x + 1 + 16x² = 16x² + 8x + 1

17x² + 2x + 1 = 16x² + 8x + 1

17x² - 16x² = 8x - 2x

x² = 6x

x gets canceled.

x = 6

Thus,

The value of x is 6.

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Answer:

  see below

Step-by-step explanation:

Any process that involves dilation or scaling will NOT result in a congruent figure. Only the rigid transformations of translation, reflection, or rotation can be used to obtain a congruent figure.

The choice shown below is the one you seek.

Answer:D  a circle   because a sphere is a circular figure

Step-by-step explanation:

Answer:

i think its D

Step-by-step explanation:

Answer:

5600 dollars

Step-by-step explanation:

The first thing we must do is calculate the area of the rectangle since the value is given per unit area.

They give it per square centimeter, therefore we must pass the measurements from meters to centimeters, knowing that 1 meter is 100 centimeters:

4m * 100cm / 1m = 400cm

5m * 100cm / 1m = 500cm

Now the area would be:

A = 400 * 500 = 20000

20000 cm ^ 2 would be the area of the rectangular wall, we calculate the value like this:

20000 * 0.28 = 5600

In other words, it has a value of 5600 dollars.

Answer: 135983 pages

Step-by-step explanation:

1 book = 421 pages

323 books = 135983 ( 421 x 323)

Mark me as the brainiest answer

Answer:

B, E and F.

Step-by-step explanation:

The transformation f(x) ------> f(x + a) moves f(x) a units to the left.

So when there is an increase in the number added to x in the parentheses the graph moves to the left.

So B is one because  of the (x  - 1)2 ---> (x + 1)2

The others are E and F.

The functions which has a graph in which the vertex and axis of symmetry are left of the vertex and axis of symmetry of the provided graph of f(x) are,

[tex]g(x) = -(x + 1)^2 - 2\\g(x) = -(x + 2)^2 + 2\\g(x) = 2(x + 1)^2 + 2[/tex]

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

The function of the graph is,

[tex]f(x) = (x -1)^2 + 1[/tex]

The function to be left of the vertex of the above function, b units must be added in the parent function such that,

[tex]f(x+b)[/tex].

The option B, E and F looks like this function.

Thus, the functions which has a graph in which the vertex and axis of symmetry are left of the vertex and axis of symmetry of the provided graph of f(x) are,

[tex]g(x) = -(x + 1)^2 - 2\\g(x) = -(x + 2)^2 + 2\\g(x) = 2(x + 1)^2 + 2[/tex]

Learn more about the transformation of a function here;

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Answer:

20

Step-by-step explanation:

First, let's find how much she spent on the expensive calculators

40 times $16400= $656,000

Now, lets find how much money she had for the cheap calculators.

$774,000- $656,000=$118000

Now that we have her budget (money remaining) for the cheaper calculators, lets divide that by the price for each individual calculator.

$118000/$5900=20

If you like my answer, please mark me as a brainliest! (I am new to this community.)

Answer:

219362.5

Step-by-step explanation:

219362.5 because 190750÷10=19075

19075÷2= 9537.50

19075+9537.50=28612.50

219362.5+28612.50=219362.5

Answer: 80 cm^3.

Step-by-step explanation: V = Bh  V = 8 cm ⋅ 10 cm  V = 80 cm^3.

Answer:

28.44$

Step-by-step explanation:

The original price of a shirt is A.

This shirt is on sale for 25% => the price of that shirt after being sale:

P1 = A - A x 25% = A - A x (25/100) = A - A x (1/4) = A x (3/4)

This shirt is discounted one more time for 25% => the price of that shirt after being discounted second time.

P2 = P1 - P1 x 25% = P1 - P1 x (25/100) = P1 - P1 x (1/4) = P1 x (3/4) = A x (3/4)^2

P2 is given to be equal to 16$, then there is an expression:

P2 = 16

or

A x (3/4)^2 = 16

=> A x (9/16) = 16

=> A = 16 x (16/9) = 28.44$

Hope this helps!

Answer:section 1 you choose c)rhombus

And the last one is X

Step-by-step explanation:sorry i can't explain but we literally got the same thing to do and i passed but what i tell you is correct

Answer:

8

Step-by-step explanation:

7 jars will be completely filled with mung beans

and then 7 × 480 = 3.360 g and 3.800 - 3,360 = 440 g will be left so we need another jar

in total we need 8 jars

Answer:

Hope this is correct

Answer:

Step-by-step explanation:

|2+8i|=√(2²+8²)=√(4+64)=√68=2√17

Answer:

2[tex]\sqrt{17\\[/tex]

Step-by-step explanation:

Answer:

D. Theoretical

Step-by-step explanation:

The probability is based on the number of marbles in the bag.  It is the theoretical probability.  It is the likelihood that a yellow marble will be picked

Answer:

c) Equation of the circle

  [tex]\sqrt{(x+7)^2+(y-2)^2}=5[/tex]

Step-by-step explanation:

Given center of the circle C(-7,2) and containing the Point P(-3,5)

C P = r

C P  = [tex]\sqrt{(x_{2} -x_{1})^2+(y_{2} -y_{1} })^2 }[/tex]

C P  = [tex]\sqrt{(-3 -(-7))^2+(5 -2})^2 }[/tex]

C P = [tex]\sqrt{16+9} = 5[/tex]

The radius r = 5

The equation of the circle C(-7,2) and radius =5

[tex](x-h)^2+(y-k)^2 = (r)^2[/tex]

[tex](x-(-7))^2+(y-2)^2 = 25[/tex]

Answer:

A) 26°

Step-by-step explanation:

In quad ABCD

C = 90°

B = 2y

A = 180 - 68

D= 180 - (y+48)

In a quad sum of all angles = 360°

therefore,

A + B + C + D = 360°

90 + 2y + 360 - 68 - y - 48 = 360

90-116+y = 0

y = 26°

Answer:

161.28km

Step-by-step explanation:

Total Laps are      61 Laps

Covered laps are 29 Laps

To be covered is 32 Laps

Each Lap is 5.04 km

Total to be covered is 5.04 x 32 = 161.28 km

Therefore, he was 161.28km away from the finish line.

Answer:

79,213,229 ft3

Step-by-step explanation:

The volume of a pyramid is given by the following formula:

Volume = (1/3) * B * h

Where B is the base area and h is the height.

The side of the base is 754 feet, so the base area is:

B = 754^2 = 568516 ft2

Then, the volume of the pyramid is:

Volume = (1/3) * 568516 * 418 = 79213229.33 ft3

Rounding to the nearest cubic foot, we have:

Volume = 79,213,229 ft3

Answer:

1/3 kg.

Step-by-step explanation:

The ratio of the amount of carrots the elephant eats to the amount of carrots the rabbit eats in the same length of time is 365:1.

So if the total they both eat is 122 kg in one day, the rabbit eats 122 * 1/ 366

= 1/3 of a kg,

Answer:

so the answer is 3/2x

Step-by-step explanation:

=[tex]\frac{13}{2x}[/tex]-[tex]\frac{5}{x}[/tex]

taking LCM

=[tex]\frac{13}{2x}[/tex]-[tex]\frac{5*2}{x*2}[/tex]

=[tex]\frac{13}{2x}[/tex]-[tex]\frac{10}{2x}[/tex]

=[tex]\frac{3}{2x}[/tex]

i hope it will help you

Fractions are written as a ratio of two or more integers.

Given the expression

13/2x - 5/x

Find the LCM

From the given fraction, the LCM is 2x

= 13/2x - 5/x

= 13-2(5)/2x

= 13-10/2x

= 3/2x

Hence the difference in the fraction given in question is 3/2x

Learn more here: brainly.com/question/1332448

The equation is 0 + 59 = 17 which can help Aly calculate the number of more toy cars than trucks. which is the correct answer would be an option (C).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Aly has 59 toy cars and 17 toy trucks.

To determine the equation can help Aly calculate number of more toy cars than trucks she has

We have to subtract 17 from both sides and add 0

0 + 59 = 17

0 + 59 - 17 = 42

Therefore, the equation is 0 + 59 = 17 which can help Aly calculate the number of more toy cars than trucks.

Hence, the correct answer would be option (C).

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Answer:

both statements are fine

Step-by-step explanation:

To find the price of a product after decreasing it, they can be done in the two ways that the statement tells us,

First, calculate that% that was decreased and then subtract it from the original price or simply multiply that original price by the percentage in which the new price would remain.

For example:

let "x" be the original price

in the first case it would be:

0.2 * x and then subtract from x, i.e .:

x - 0.2 * x

in the second case it is:

1 - 0.2 = 0.8

that is, the new price would be 0.8 * x