(0,7) (1,5) (-1,13)

How to find the quadratic equation given only these points (standard form)

Answer:

x = 2

y = 17

Step-by-step explanation:

Rule that applies to this question: Opposite sides of a parallelogram are equal.

Therefore:

x+2 = 4

x = 4 - 2

x = 2

y-5 = 12

y = 12 + 5

y = 17

Answer:

2 6 9 7 4 7 66 46 66 74 89 84 653 88

Answer:

2x+y

Step-by-step explanation:

They have 2 bags containing "x" counters and 1 containing "y" counters. So 2 multiply the number of x since there are 2 bags + y because y also contains counters we need to add. (I'm pretty sure)

Luna already had,

→ consumed 900 cal

→ burned 500 cal

She wants to keep her daily calorie,

→ 1,500 cal/day

Calories she have left to consume,

→ 1500 - (900 - 500)

→ 1500 - 400

→ 1100 cal

Therefore, 1,200 cal will cause her to exceed 1,500 cal/day.

Answer: x=+27

Step-by-step explanation:

[tex]\huge\qquad\underline{{\tt answer : - }} [/tex]

[tex]x+12=2x-15 \\ x - 2x = - 12 - 15 \\ - x = - 27 \\ x = 27[/tex]

☞ user58580~ ♥

The found value are-

A straight line's general equation is y = mx + c, in which m is the gradient and y = c is the value at which the line intersects the y-axis. This number c is known as the y-axis intercept.

Now, as per the given question;

The general equation of the line is given as;

y = mx + b

Each point (x,y) of the line is moved to the point (x+a, y+b) by the translation:

(x,y) ---> (x+a, y+b)

We find the original line's x and y intercepts:

Put y=0 in general equation of the line

⇒mx+b = 0

⇒x = −b/m

When, x=0

⇒y = m⋅0 + b

⇒ y = b

A, (0,b) and B( -b/m, 0)

We find the translational coordinates of the points A,B:

A(0,b) ---> A′ (0+a,b+b)

A(0,b) ---> A′ (a,2b)

And,

B( -b/m, 0) ----> B'( -b/m + a, 0 + b)

B( -b/m, 0) ----> B'( -b/m + a, b)

To find the equation of the line's translation, we use the points A and B ′:

m' = (2b - b)/[a  - (-b/m +a)]

m' = b/(b/m)

m'  =m

And,

y−yA' = m' (x−xA')

y−2b=m(x−a)

y=mx−am+2b

The translation of the line's x and y intercepts are:

Put x=0

⇒y = m⋅0−am+2b

⇒y = 2b−am

And, put y=0

⇒0 = mx−am+2b

⇒x = a - (2b/m)

Therefore, the equation of the translate line is found to be  y = mx − am + 2b.

And, the value of the y-intercept is found to be 2b−am.

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Using integer numbers, we have that:

1. The integer -5 would represent traveling west at -5 miles per hour, while the integer 5 would represent traveling east at 5 miles per hour.

2. The positions are given as follows:

Integer number are numbers that can have either positive or negative signal, but are whole numbers, meaning that they have no decimal part.

For the number line, we have that:

Hence, for item 1, we have that:

The integer -5 would represent traveling west at -5 miles per hour, while the integer 5 would represent traveling east at 5 miles per hour.

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

For item b, to find the distance, we apply the proportion, multiplying the velocity by 5, hence the positions would be given by:

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9.27  rounded to 2 decimal places is 9.27

The important thing to remember is that you should round 9.270 to two digits or places after the decimal point. As a result, we wish to do rid of the final digit in 9.270. We utilize the following Two Decimal Places Rules to find the answer by removing the final digit in 9.270:

Rule #1 for two decimal places: If the final digit in 9.27 is less than 5, it should be removed.

Two Decimal Places Rule #2: If the second-to-last digit in 9.27 is less than 9 and the previous digit is 5 or greater, the last digit must be removed and one added to the second-to-last digit.

Three Decimal Places Rule #3: If the final digit in a number, such as 9.27, is five or more, the second to last digit is nine, and the third to last digit is less than nine, the last digit is eliminated, the second to last digit is changed to zero, and the third to last digit is increased by one.

Fourth Rule of Two Decimal Places: Add 1 to the value on the left side of the decimal point and change the right side of the decimal point to 00 if the final digit in 9.270 is 5 or more, the next-to-last digit is 9, and the next-to-last digit is 9.

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The solution to the equation (2x - 20)/3 = 2x of temperature change gives x = -5.

The given equation is;

(2x - 20)/3 = 2x

Simplify the equation;

2x - 20 = 6x

Bring variables together;

6x - 2x = -20

4x = -20

Divide by 4

x = -5

Therefore, the solution to the equation (2x - 20)/3 = 2x of temperature change gives x = -5.

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The number of miles in a day at which the rental costs for Company A and Company B are the same will be 200 miles.

We are given that:

For Company A:

Fixed cost = $ 110

Variable cost = $ 0.20 per mile

For Company B:

Fixed cost = $ 70

Variables cost = $ 0.40 per mile

Let the number of miles in a day be x.

So, the equation for rental cost for company A will be:

Rental cost = 110 + 0.20 x

The equation for rental cost for company B will be:

rental cost = 70 + 0.40 x

Now, put both rental cost equal.

110 + 0.20 x = 70 + 0.40 x

0.40 x - 0.20 x = 110 - 70

0.20 x = 40

x = 40 / 0.20

x = 200 miles.

Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same will be 200 miles.

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A line segment is also a line but a line with finite length and fixed endpoints. The given statement "Lines p and q intersect in points M and N" can never be true.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line segment is also a line but a line with finite length and fixed endpoints.

The given statement "Lines p and q intersect in points M and N" will never be true, this is because two straight lines can only bisect once, therefore, at only a single point.

Although, the line may also bisect each other at infinite points but only if the line overlap with one another.

Since it is given that bisect each other at two points M and N.

Hence, The given statement "Lines p and q intersect in points M and N" can never be true.

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Hey there!

(3^2 * 5^4)^3

= (3 * 3 * 5 * 5 * 5 * 5)^3

= (9 * 25 * 25)^3

= (9 * 625)^3

= (5,625)^3

= 5,625 * 5,625 * 5,625

= 31,640,625 * 5,625

= 177,978,515,625

= 3^6 * 5^12

Therefore, your answer should be:

Option C. 3^6 * 5^12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The slope of the line that contains the given points R(-2,1) and, S(10,6) is 5/12 .

It is given in the question that the line contains the points R(-2,1) and S(10,6).

We know that:-

The formula to find the slope of a line that contains points (a,b) and (c,d) is given by:-

m = (d-b)/(c-a)

Here, we have

m = slope of the line

(a,b) = (-2,1)

(c,d) = (10,6)

Hence, putting the values of (a,b) and (c,d) , we get

Slope of the line that contains the given points R(-2,1) and, S(10,6) is given by:-

(6-1)/(10-(-2)) = 5/12=

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Answer:$19,829.10

Step-by-step explanation:

Compounded quarterly so use [tex]A = P(1+\frac{r}{n})^{nt}[/tex]

-Quarterly means 4 times a year

Initial Amount (P) = $4700
Rate = 5.8%

Time = 25 years

Plug everything into equation

[tex]A = 4700(1+\frac{0.058}{4})^{4*25}[/tex]

Insert into calculator and get:

$19,829.0996305 which is approximately $19,829.10

Round to the nearest hundredth because when dealing with money there are only two decimal places.

Answer:

$19,829.10

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=4700\left(1+\dfrac{0.058}{4}\right)^{4 \times 25}[/tex]

[tex]\implies \sf A=4700\left(1+0.0145\right)^{100}[/tex]

[tex]\implies \sf A=4700\left(1.0145\right)^{100}[/tex]

[tex]\implies \sf A=4700(4.2189573...)[/tex]

[tex]\implies \sf A=19829.0996...[/tex]

Therefore, the account balance after 25 years will be $19,829.10 (nearest cent).

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3/5w - 1/5w +10 = 4

First, simplify 3/5w - 1/5w

2/5w + 10 = 4

Then, subtract each side by 10

2/5w = -6

Multiply each side by the denominator

2w = -30

Then divide each side by 2

w = -15

(-4x2-3x+6) + (6x2 - 2x + 1) = 2x2-5x + 7, the opposite of 2x2 + x-7 is -2x2 - X+ 7 and (-4x2+2x-1) - (-2x2 + 3x+6) = -2x-x - 7

1. (-4x2-3x+6) + (6x2 - 2x + 1)

= -4x2+ 6x2- 3x- 2x + 1+ 6

= 2x2- 5x + 7

Thus, adding gives us 2x2- 5x + 7 and thus (-4x2-3x+6) + (6x2 - 2x + 1) will be matched with the 5th equation.

2. opposite of: 2x2 + x-7

The opposite of 2x2 + x-7 can be found if we just reverse the signs of each of the term. This means that + becomes - and - becomes -

Thus the opposite is: -2x2 - X+ 7

Thus, it will be matched with the second option.

3. (-4x2+2x-1) - (-2x2 + 3x+6)

= -4x2+2x-1 + 2x2 - 3x - 6

= -4x2+ 2x2 +2x - 3x - 6-1 = -2x-x - 7

Thus, this equation will be matched with the 1st option.

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Pseudocode algorithms are used as prototypes of an actual program.

The required pseudocode algorithm is as follows:

1. Start

2. Input n

3. Odd = 1

4. For i in range(n):

    4.1 Print Odd     4.2 Odd = Odd + 2

The pseudocode that prints the first n odd numbers starting from 1 is as follows:

1. Start

2. Input n

3. Odd = 1

4. For i in range(n):

    4.1 Print Odd     4.2 Odd = Odd + 2

The above pseudocodes would print the first n odd numbers starting from 1, given that n is the input

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The slope is (-1/2) an  y -intercept is (-5/2) in the line  -(1/3)x - (2/3)y = 5/3

A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.

The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.  

Therefore,

m =  y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.

Be aware that tan ∅ = y/x

We also refer to this tan as the line's slope.

We know that the equation for slope(m) and y - intercept(c) of a line is given by :

y = mx + c

Here the equation is -(1/3)x - (2/3)y = 5/3

⇒ -(1/3)x - (2/3)y = 5/3

⇒  - (2/3)y = (1/3)x +  5/3

⇒ [tex]\frac{-2y}{3}[/tex] = [tex]\frac{x + 5}{3}[/tex]

⇒ -2y = x + 5

⇒  y = [tex]\frac{x + 5}{-2}[/tex]

⇒  y = [tex]\frac{-1}{2}x -\frac{5}{2}[/tex]

Hence, slope is (-1/2) and  y - intercept is (-5/2)

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-5a+8a=-20+10.4

-3a=-10.4a

The inequality  [tex]5.5+37.93d\leq300[/tex] should be used to calculate the number of days.

What is an inequality?

The relationship between two non-equal expressions, denoted by a symbol such as 'not equal to, 'greater than' or 'less than' is known as inequality.

She drives 50 miles and per mile it costs $0.11.

So, for 50 miles, cost = 50 x $0.11 = $5.5

and per day cost = $37.93

Thus, the inequality that must be used to calculate number of days is

  [tex]5.5+37.93d\leq300[/tex]

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Answer:

81

Step-by-step explanation:

6 multiplied by 13.5 gives the answer 81.

Answer: 81

Step-by-step explanation:

[tex]13.5*6=\\\\13.5*2*3=\\\\27*3=\\\\81[/tex]

According to the question, the given parameters of a triangle Δ IJK is given below:

j = 960 inches, i = 200 inches and ∠I = 68 degree.

As we know, the sum of the angle of a triangle is 180 degree.

Therefore, ∠I + ∠J + ∠K = 180 degree

Substituting above values in the given expression, we get:

∠J + ∠K = 180 - 68 = 112 degree

For isosceles triangle, two sides are equal. Therefore, ∠J = 56 degree

Hence, the calculated value for the ∠J is 56 degree.

What is triangle?

In the geometry of mathematics, the triangle can be defined as a polygon shape which has three edges as well as three vertices. There are three different forms of triangle which are known as scalene, isosceles and equilateral triangle.

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The percent increase from 200 to 460 is 130% increase

The numbers are given as

200 and 460.

460 is greater than 200

So, the percentage is an increment

The percentage increment is then calculated as

Percentage = (Final value - Initial value)/Initial value * 100%

Substitute the known values in the above equation

Percentage = (460 - 200)/200 * 100%

Evaluate the difference

So, we have

Percentage = 260/200 * 100%

Evaluate the quotient

So, we have

Percentage = 1.3 * 100%

Evaluate the product

So, we have

Percentage = 130%

Hence, the percent increase from 200 to 460 is 130% increase

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Answer: B

Step-by-step explanation:

The two inequalities are:

y = 20x when x ≤ 6  and y = 15x when x > 6

The scenario given here is of a chicken that is being roasted. To solve this problem, we will take y as the time required to roast the chicken and x as the lbs of the chicken. (weight)

Now two different conditions are applied depending upon the lbs of the chicken the taken to roast the chicken will vary,

20min/lb for a chicken weighs as much as 6lb.

y = 20x when x ≤ 6

15 min/lb for a chicken weighs more than 6lb.

y = 15x when x > 6

The above two equations are the two inequalities that represent time needed to roast both the chicken.

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The image seen in the compact mirror is not of the same size as seen in the plane mirror. This compact mirror is concave on one side and convex on the other side.

The size of the image as compared to the object is related to the magnification. The size of an object’s image is larger (or smaller) than the object itself by its magnification,  The level of magnification is proportional to the ratio of  and  An image that appears to be double the size of the actual object would have magnification

The radius of curvature of a mirror is twice its focal length.

All distances measured to the right of the origin (along the positive x-axis) are taken as positive while those measured to the left of the origin (along the negative x-axis) are taken as negative.

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