Find the coordinates of the midpoint of the lines joining the following pairs of points:. 1. (3,-6) and (5,8). 2. (-4,-2) and (1,-3)​

The number in standard form is 632.058

The number is given as:

Six hundred thirty-one and fifty-eight thousandths

This means:

Six hundred thirty-one + fifty-eight thousandths

Express Six hundred thirty-one as 631

632  + fifty-eight thousandths

Express fifty-eight thousandths as 58/1000

632  + 58/1000

Express as decimal

632  + 0.058

Evaluate the sum

632.058

Hence, the number in standard form is 632.058

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Answer:

A= 77/2 or 38.5 cm^2 and p= 29.5 cm

Step-by-step explanation: Remember the formula for area and perimeter for a triangle A=1/2bh and P= a+b+c. So the equations would look like A=1/2 x 11 x 7 and P= 11 + 11 + 7.5 and that'll result in A= 77/2 or 38.5 cm^2 and p=29.5 cm.

Is the relationship between the step number and number of squares a quadratic function.

Step 1 = 2 squares

Step 2 = 6 squares

Step 3 = 12 squares

2, 6, 12

 4   6

    2

ax² + bx + c

2a = 2 ⇒ a = 1

3a + b = 4 ⇒ 3(1) + b =4 ⇒ b = 1

a + b + c = 2 ⇒ 1 + 1 + c = 2 ⇒ c = 0

Equation: x² + x

Hence, Yes it is a quadratic function.

Answer:

It is quadratic with nth term = n^2 + n.

Step-by-step explanation:

Number of squares in each term = 2, 6 and 12

Differences between these  are   4 and 6

6 - 4 = 2

This is an indication of a quadratic function  with n^2 the first term.

Value of n^2 for first 3 terms

=                    1     4     9    and the terms are:

                     2     6    12

Differences   1     2       3    

This last term  = n

So the quadratic function for this sequence is

n^2 + n.

Answer:

[tex] \frac{b}{4} + 2 = - 1[/tex]

[tex] \frac{b}{4} = - 1 - 2[/tex]

[tex] \frac{b}{4 } = - 3[/tex]

[tex]b = - 3 \times 4[/tex]

[tex]b = - 12[/tex]

hope this helps you!!

The answer is -12

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here:  The equation b/4 +2 = -1

                                                   b=-12

Hence, The answer is -12

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Answer:

potential to kinetic energy

Answer:

$11.40

Step-by-step explanation:

Subtract the bookmark from the total amount

82.00 - 2.20 = 79.80

Divide the answer by how many books you purchased

79.80/7

= ($11.40)

Answer:

A. (0,-3) the other possible anser is (2,1) but that's not an option

Answer:

y = (-2/3)x + 4 or

3y = -2x + 12

Step-by-step explanation:

Slope of line passing through (x₁, y₁) and (x₂, y₂) is given by
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

In this particular case where the points are (6,0) and (0,4) we get the slope as (4-0)/(0-6) = -2/3

Equation of a line with slope m and y intercept c is given by

y = mx + c

substituting for m we get the equation y = (-2/3)x + c

Substituting the first point (6,0) we get

0 = (-2/3)(6) + c or -4 + c = 0 or c =4

Therefore y = (-2/3)x + 4 or multiplying both sides by 3 we get

3y = -2x + 12

The answer is 1400, good luck

The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

The expression is given as:

x² + 4x - 45

Expand the equation

x² + 4x - 45 = x² + 9x - 5x - 45

Factorize the expression

x² + 4x - 45 = x(x + 9) - 5(x + 9)

Factor out x + 9

x² + 4x - 45 = (x - 5)(x + 9)

Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

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Answer:

Factor x2+4x−45 using the AC method. (x+9) (x−5)

Step-by-step explanation: so B

The experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A computer generates 50 integers from 1 to 8 at random.

Total number of outcomes = 5+8+9+7+4+6+5+6  = 50

Computer generating a 2 = 8

Computer generating a 4 = 7

P(computer generating a 2) = 8/50

P(computer generating a 4) = 7/50

P(computer generating a 2 or a 4) = 8/50 + 7/50 = 15/50 or

= 0.3×100

= 30%

Thus, the experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

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C. The cost of 6 show tickets is $30.

bottom of graph represents number of tickets, look for 6 then go up till you hit the dot now go to the other side of the graph ( costs) and see which number the line hit which is 30

Answer:

Step-by-step explanation:

[tex]P = 56,150(1 + \frac{0.095}{4})^{ 4(2.5)[/tex]

≈ $71005

Answer:

This is less chocolate ice cream per cup of milk than in the first mixture (2 scoops of chocolate ice cream per cup of milk), so the first mixture has stronger chocolate flavor. 2 scoops of chocolate ice cream with 1 cup of milk will taste the same as 4 scoops of chocolate ice cream with 2 cups of milk.

Step-by-step explanation:

Answer:

If you did 3 scoops of ice-cream and 2 cups of milk you would have 2times the amount of milk and only 1 1/2 times the amount of ice-cream then if you did 1 cup of milk and 2 scoops of ice-cream.

Step-by-step explanation:

To solve this question, we will have to use the aspect of mathematics that is referred to as rates or proportions.

In the first mix, what we have is that we are going to mix 2 scoops of chocolate ice cream with 1 cup of milk. What is noticeable here is that we have 2 scoops of chocolate per 1 cup of milk or there is a 2 to 1 ratio of chocolate ice cream to cup of milk.

Now in the second mix, we are mixing 3 scoops of chocolate with 2 scoops of milk. What we have here is a ratio of 3 to 2. This means that we are having a ratio of 1.5 to 1 of the number of scoops of chocolate ice cream to number of cups of milk.

Looking at this, we can deduce that a 2 to 1 ratio is a greater value compared to a 1.5 to 1 ratio. This is the reason why we are having a stronger chocolate flavor in the first mix than the chocolate flavor in the second mix

Answer:     x = 5, -5

Step-by-step explanation:

mark brainist

Answer:

(5, 18) and (-5, 38)

Step-by-step explanation:

Equating the values of the function f(x) :

Taking x = +5 :

Taking x = -5 :

The solutions are : (5, 18) and (-5, 38)

Answer:

second one

Step-by-step explanation:

Answer:

Jace did not make a mistake, because the answers are the same. Jace just did the problem in a unique way.

The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.

The model, which represent the cost of window in dollar, is,

C=(n²/5)+175

A window costs $355. Thus, C=355. Put this value in above model as,

355=(n²/5)+175

355-175=(n²/5)

180 x 5=n²

n=√(900)

n=30

Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

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The equation of the circle is:

[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]

The general equation for a circle of radius R and center (a, b) is:

[tex](x - a)^2 + (y - b)^2 = R^2[/tex]

Here the center is (-4, -2), and it contains the point (4, -17), so the radius is:

[tex]R = \sqrt{(4 - (-4))^2 + (-2 + 17)^2} = 17[/tex]

So the equation of the circle is:

[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]

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Answer:

[tex]8w+\frac{12}{4}[/tex] = 8w+3

[tex]\frac{8w+12}{4}[/tex] = 2w+3

Step-by-step explanation:

For [tex]8w+\frac{12}{4}[/tex], you can divide 12 by 4 which is three.

For [tex]\frac{8w+12}{4}[/tex], you have to divide each term. 8w is the same as 8·w. 8·w/4 is 2·w. 12/4 is 3.

The correct value of this simplified expression is 8w + 3

- Algebraic expression is a mathematical sentence that involves letters accompanied by real numbers, where it can be a variable or unknown.

- Simplification of a number is just the division of the same divisor by the numerator and denominator.

Given the expression: 8w+12/4, the only term in this expression that can be simplified is the fraction. So let's divide these two numbers by the number 2:

8w + 12 / 4

8w + 12 ÷ 2 / 4 ÷ 2

8w + 6 /2

It is still possible to simplify this expression - dividing the numerator by the denominator, so:

8w + 6 /2

8w + 6 ÷ 2

8w + 3

Therefore, the correct answer of this expression will be 8w + 3

The area of the poster will be 0.68 m². The number of unit squares that cover the surface of a closed-form is the figure's area.

The space filled by a flat form or the surface of an item is known as the area. Square centimeters and other similar units are used to measure area.

Given data;

Height of mom in the photo = 3 inches

Real size of photo=66 inches

Area of the photo = 15 square inches

Where x is the area of the poster, the following proportions might be used to predict how much paper Jermaine will pay for:

Area = width × length

[tex]\frac{Real \ size }{Photo \ size} =\frac{Real \ area}{Photo \ area } \\\\ \frac{66}{3} =\frac{15}{x} \\\ x=0.68 \ m^2[/tex]

Hence,the area of the poster will be 0.68 m².

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The experimental probability that the next train to pull in will be full is [tex]\rm \frac{4}{5}[/tex]. Probability is the ratio of the favorable event to the total number of events.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The experimental probability that the next train to pull in will be full is found as;

[tex]\rm P= \frac{Favourable}{Total \ outcomes } \\\\\ P(full)= \frac{16}{16+4} \\\\\ P(full)=\frac{16}{20} \\\\ P(full)= \frac{4}{5}[/tex]

Hence, the  experimental probability that the next train to pull in will be full is [tex]\rm \frac{4}{5}[/tex].

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Answer:

[tex]\huge\boxed{\bf\:Ratio = 4:5}[/tex]

Step-by-step explanation:

We have a right angled triangle given.

At first, let's note that, sin θ = oppposite side of the triangle / hypotenuse of the triangle.

Now, in the given triangle, from the view of ∠θ,

Then,

[tex]\sin \theta = \mathrm{\frac{opposite \: side}{hypotenuse}}\\\sin\theta = \frac{8}{10}\\\sin\theta = \frac{4}{5}\\\\\\\Longrightarrow \boxed{\mathrm{Ratio = 4:5}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

vertical asymptotes is x = -2 and x = 1

Step-by-step explanation:

For rational functions, the vertical asymptotes are the undefined points, also known as the zeros of the denominator (below the line), of the simplified function.

This means [tex]-4x^{2} - 4x + 8[/tex] is equal to zero than solve

*image below*

Hope it helps :)

Let me know if you have any questions or anymore help lmk, happy to help with any school work!!

We are give with the function:

[tex]{\quad \qquad \longrightarrow f(x)=\dfrac{x^{2}+x-12}{-4x^{2}-4x+8}}[/tex]

Vertical asymptotes are the points, where the function is not defined, so the denominator must be equal to 0 for making f(x) not defined

[tex]{:\implies \quad \sf -4x^{2}-4x+8=0}[/tex]

Dividing both sides by -4, we have;

[tex]{:\implies \quad \sf x^{2}+x-2=0}[/tex]

Can be further written as:

[tex]{:\implies \quad \sf x^{2}-x+2x-2=0}[/tex]

[tex]{:\implies \quad \sf x(x-1)+2(x-1)=0}[/tex]

[tex]{:\implies \quad \sf (x-1)(x+2)=0}[/tex]

Using zero product rule, Equating both multiplicants to 0, we have:

[tex]{:\implies \quad \boxed{\bf{x=1\quad or\quad -2}}}[/tex]

This is the required answer

Answer:

88.0 in^3 to nearest tenth.

Step-by-step explanation:

The radius = 1/2 diameter

= 11/2 * 4 = 2 ins,

The Volume = πr^2 h

= π * 2^2 * 7

= 87.96 in^3.

Answer:

87.9 in³ OR 88.0 in³

Step-by-step explanation:

Concepts

The volume of a cylinder is [tex]\pi r^2h[/tex], where r = radius and h = height.

The radius is twice the diameter.

Application

We are given the diameter as 4 inches, so the radius is 2 inches. The height of the cylinder is 7 inches. Now, we just apply our aforementioned formula and plug in its values of r and h. Since I don't know if you're using pi as 3.14 or just using the exact value of pi, I have provided two different answers at the top.

Solution

1:

2:

Answer:

x=1.531128874 or x=-6.531128874

Step-by-step explanation:

Answer:

Option c, G(x) = 12x

Step-by-step explanation:

Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1

In the equation f(x) = mx, the m is acting as the vertical stretch or compression of the identity function.

- f(x) = x by m vertically stretches the graph of f by a factor of m units if

m > 1

- vertically compresses the graph of f by a factor of m units if

0 < m < 1.

This means the larger the absolute value of m, the steeper the slope.

Answer:

Here, the parent should pass through the origin, which is through the coordinate (0,0).

The only function that passes through this (0,0) point and is vertically stretched is only valid is:

y = 12x

Let's apply BPT theorem(Not necessary we can apply common ratios and similarities)

Put values

Option B

Let's solve it out