Subtract the fractions and simplify the answer 13/15 -2 2/3

Answer:

D infinitely many  

Step-by-step explanation:

They lines never cross

Answer:

11/20

Step-by-step explanation:

Answer x= 32

Imagine math

9 / 5/8 =

9/1 / 5/8 =

9/1 * 8/5 = 72/5 = 14 2/5

radius = square root (( x2-x1)^2 +(y2-y1)^2)

 = sqrt(1-(-3)^2+(5-2)^2

= sqrt(16+9)

=sqrt(25)

= 5

radius is 5

The radius of the circle is [tex]\boxed{5{\text{ units}}}.[/tex]

Further explanation:

The standard equationof the circle with center [tex]\left( {h,k}\right)[/tex] and radius r can be expressed as,

[tex]{\left( {x - h}\right)^2} + {\left({y - k} \right)^2}= {r^2}.[/tex]

Given:

A circle with center at [tex]\left({ - 3,2} \right).[/tex]

The passing through point is [tex]\left( {1,5} \right).[/tex]

Explanation:

The center is at [tex]\left( { - 3,2} \right).[/tex]

The passing through point is [tex]\left( {1,5} \right)[/tex]. Therefore, the point satisfies the equation of circle.

Substitute 1 for x, 5 for y, -3 for h and 2 for k in general equation of the circle to obtain the radius of circle.

[tex]\begin{aligned}{\left( {x - h}\right)^2}+{\left({y - k}\right)^2}&={r^2}\\{\left( {1 + 3} \right)^2} + {\left( {5 - 2}\right)^2}&= {r^2}\\16 + 9&= {r^2}\\\sqrt{25}&= r\\5&= r\\\end{aligned}[/tex]

The radius of the circle is [tex]\boxed{5{\text{ units}}}.[/tex]

The radius of the circle is [tex]\boxed{5{\text{ units}}}.[/tex]

Learn more:

1. Learn more about equation of circle brainly.com/question/1506955.

2. Learn more about domain of the function https://brainly.com/question/3852778.

3. Learn more about coplanar https://brainly.com/question/4165000.

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Circle

Keywords: Circle, centered point, (-3,2), passes point (1,5), standard form of the circle, equation of the circle, center, diameter of circle, radius of the circle,center-radius form, general equation of circle, tangent, area of circle.

Answer:

25,35

Step-by-step explanation:

Part A: There are five buttons in all in all in the given item. The item above can be answered through the fundamental principles of counting.  

There are 5 items to choose from during the first pick. Because the shape can be returned and picked again, there are also 5 items to choose from in the second pick. Multiplying them,

                              n = 5 x 5 = 25

Therefore, the sample size for the compound event is equal to 25.

Part B: The same concept can be used in this part of the item; however, instead of 5 there are 6 buttons to choose from.

                             n = 6 x 6 = 36

Hence, the sample size of this picking process is 36.

No, as long as you remember that distance is awlays zero or positive.

To find the total number of photographs, we use the fact that 30% were perfect, meaning 70% were not perfect. By setting up the equation 0.70x = 210, we can solve for x, finding that there were 300 photographs in total.

If 30% of John's photographs were perfect and 210 were not perfect, determining the total number of photographs involves understanding percentages and basic algebra. Here's the step-by-step breakdown of solving the problem:

Therefore, there were 300 photographs in total.

The total number of photographs is 300.

If 30% of John's photographs were perfect, it means that 70% were not perfect. Since 210 photographs were not perfect, we can set up an equation to find the total number of photographs. Let x represent the total number of photographs. We know that 70% of x equals 210:

[tex]\[ 0.70x = 210 \][/tex]

Solving this equation, we find that

[tex]\( x = \frac{210}{0.70} = 300 \)[/tex]

Therefore, there were 300 photographs in total. This calculation assumes that all photographs are either perfect or imperfect, with no other categories.

Answer:

Algebraic expression that best describes the sequence is:

[tex]2^{n}[/tex]

Step-by-step explanation:

We have the sequence 2, 4, 8, 16, 32,...?

With the Algebraic expression:

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

n is the number into the sequence that you want to find, we can prove it if we replace in the equation (1)

For example in the first term, n=1

[tex]2^{1}=2[/tex]

in the second term, n=2, and so on

[tex]2^{2}=4\\2^{3}=8\\2^{4}=16\\2^{5}=32\\2^{6}=64\\[/tex]

Answer:  [tex]1667978979\pi[/tex] cubic miles

Step-by-step explanation:

We know that the shape of moon is sphere.

The volume of sphere is given by :-

[tex]\text{V}=\dfrac{4}{3}\pi r^3[/tex], where r is the radius of sphere.

Given : The diameter of moon = 2155 miles

Then the radius of moon=[tex]\dfrac{2155}{2}[/tex]

Then , the volume of moon is given by :-

[tex]\text{V}=\dfrac{4}{3}\pi (\dfrac{2155}{2})^3=1667978979.2\pi\approx1667978979\pi \text{ cubic miles}[/tex]

Final answer:

The height of the plane above the ground after traveling 3,000 meters at a 15° angle of elevation is approximately 776.4 meters. This is calculated using the sine function: height = 3,000 m × sin(15°).

Explanation:

To find the height of the plane above the ground after taking off at an angle of elevation of 15° and traveling for 3,000 meters, we can use trigonometric functions. Specifically, the sine function relates the opposite side of a right-angled triangle (in this case, the height above ground) to the hypotenuse (the distance traveled by the plane).

The sine of an angle in a right triangle is equal to the length of the opposite side divided by the length of the hypotenuse. The formula is:

height = hypotenuse × sin(angle)

Here, the hypotenuse is the distance traveled by the plane (3,000 m), and the angle is 15°. Thus, the calculation would be:

height = 3,000 m × sin(15°)

We can calculate the sine of 15° using a calculator.

height = 3,000 m × 0.2588 (approximately)

height = 776.4 m (approximately)

Therefore, the plane is approximately 776.4 meters above the ground.

Answer:

x² + (-6x) = -13

ALSO the second answer,
x² + (-6x) __ = -13 +  __
Both blanks are 9
Third answer, factor the trinomial and simplify:

(x + -3 )²= -4

Use the square root property of equality to solve

(x  – 3)2 = –4.

The solutions are

The correct option is   C.   3 ± 2i.

:D

The equation 8x² - 48x = -104 can be rewritten with 'a' = 1 by dividing all terms by 8 and rearranging to the form ax² + bx + c = 0, yielding x² - 6x + 13 = 0.

To rewrite the equation so that 'a' = 1, it would be useful to adjust the coefficients in your equation first. Starting with the given equation: 8x² - 48x = -104. We can divide all terms by 8 to normalize the 'a' coefficient.

Doing that gives us: x² - 6x = -13. Now, to write the equation in the form ax² + bx + c = 0, we can add 13 to both sides which results in: x² - 6x + 13 = 0. Now your equation is in the standard quadratic form with 'a' = 1.

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Answer: Its the 3rd choice.

The answer to your question is the third option:

1/2(n+4) = 5/n - 3

10% of 100 < 20% of 200.

10% of 1000 > 20% of 100.

Percentage is the fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages is %.

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The coordinates of point P that partitions the segment AB in the ratio 1:1 are (4, -1). The calculation is done using the segment partition formula.

To solve this problem, we use the formula for finding the point that divides a line segment into a given ratio. The formula is P(x, y) = ((x1*m2 + x2*m1)/(m1+m2), (y1*m2 + y2*m1)/(m1+m2)). Here, points A and B are (13,1) and (-5,-3) respectively, and the ratio m1:m2 is 1:1.

So applying the formula, we have P(x, y) = ((13*1 + -5*1) / (1+1), (1*1 + -3*1) / (1+1)) = (8/2, -2/2) = (4, -1).

So, the coordinates of point P that partitions the segment AB in the ratio 1:1 are (4, -1).

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To find the coordinates of point P that bisects the segment AB in the ratio 1:1, we use the midpoint formula. Substituting the values of points A(13,1) and B(-5,-3) into the formula gives us P(4,-1).

The student wants to find the coordinates of point P that would bisect the line segment AB in a 1:1 ratio. Since the ratio is 1:1, point P is the midpoint of the segment. To find the coordinates of the midpoint P, we need to calculate the average of the x-coordinates and the y-coordinates of points A and B.

Using the formula of a midpoint, M(x, y) = [ (x1+x2)/2 , (y1+y2)/2 ], let's substitute the coordinates of points A(13,1) and B(-5,-3).

P(x, y) = [ (13-5)/2 , (1-3)/2 ]

Therefore, the coordinates of point P that partitions the segment AB in the ratio 1:1 is P(4, -1).

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Answer:

the answer is 10 m2

Step-by-step explanation: