Write 0.8 repeating as a fraction

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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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:

(C)The two triangles may be congruent, but additional measurements are needed.

Step-by-step explanation:

It is given that QRS and FGH each have two sides that are 9 mm long that is QR=QS=9mm and FG=FH=9mm.

Thus, both the triangles that are QRS and FGH becomes the isosceles triangles.

Now, in order to prove that ΔQRS≅ΔFGH, we require more measurements as congruency can be proved only by SAS, SSS, ASA or AAA that is by using all the three sides of triangle or by using two sides one angle or by using two angles and one side or by using all the three angles.

Therefore, we need remaining side or angle in order to prove that ΔQRS is congruent to ΔFGH.

Hence,  option (C) is correct.

 tax gets added to the price of the camera

 so the equation is:

x + 0.07x = 45; x = $42.06

Answer:

the answer is 10 m2

Step-by-step explanation:

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

Total hours= 2.2+3.5=5.7

Total earned = 5.7 x $7.50= $42.75

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 x= 32

Imagine math

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.

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:

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:

D infinitely many  

Step-by-step explanation:

They lines never cross

Answer:2,2,2

Step-by-step explanation: I just took the test and got it right.

Answer:

11/20

Step-by-step explanation:

The answer to your question is the third option:

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

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:

[tex]cos(tan^{-1}(0))=1[/tex]

Step-by-step explanation:

Evaluate cos(tan^-1 0)

[tex]cos(tan^{-1}(0))[/tex]

We know that tan(0)=0

tan (0 degree)=0

[tex]tan^{-1}(0)=0[/tex]

Replace it in our problem

[tex]cos(tan^{-1}(0))[/tex]

[tex]cos(0)[/tex]

At 0 degree the cos value is 1

So co(0)=1

[tex]cos(tan^{-1}(0))=1[/tex]

Answer:

the correct answer is 1

Final answer:

To multiply 6 and 42 using the distributive property, you break down 42 into 40 and 2, then multiply each part by 6 and add them together to get 252.

Explanation:

The distributive property in mathematics allows us to multiply a sum by multiplying each addend separately and then adding the products. April wants to multiply 6 by 42 using the distributive property. The correct way to do this using the distributive property is to break down 42 into 40 and 2, then multiply each by 6 and add the results. Therefore, the correct number sentence using the distributive property is:

6 × (40 + 2) = (6 × 40) + (6 × 2)

This simplifies to:

(6 × 40) + (6 × 2) = 240 + 12 = 252

So, 6 × 42 equals 252 when applied through distributive property.