Help with distance between points in geometry.Two equations given

y=-5/4x+3.5
4y+10.6=-5x

Answers

Answer 1
Answer: rearrange equations so they look nicer:
y = -5/4x + 7/2
4y = -4x + 14

make both equations equal 4y:
4y + 10.6 = -5/x
4y = -5/x -10.6

this means that:
-4x + 14 = -5/x - 10.6

rearrange to find x:
[multiply by x]
-4x^2 +14x = -5 - 10.6x
4x^2 - 14x + 10.6x + 5 = 0
4x^2 -3.4x + 5 = 0

use the quadratic equation: x = (-b ± √(b^2 - 4*a*c)) / 2a
for this equation, a = 4, b = -3.4 and c = 5
write the answer in the form (x - answer one) (x - answer two)
this will give either two answers. Input these into the equation 4y = -4x +14 to find the coordinates.

To find the distance between these two points:

distance = √(change in x) + (change in y)
Answer 2
Answer:

Final answer:

To find the distance between two points using given equations, solve the equations simultaneously to find the coordinates of the points and then use the distance formula.

Explanation:

To find the distance between two points using the given equations, we first need to find the points of intersection. We can do this by solving the given equations simultaneously to find the values of x and y. Once we have the coordinates of the two points, we can use the distance formula to find the distance between them.

  1. First, solve the given equations simultaneously to find the values of x and y.
  2. Substitute the values of x and y into the distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2).
  3. Calculate the distance using the given formula.

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What is the payment if there is $219 with a 3.5% sales tax

Answers

103.5% of A = 219
so, A = 219/103.5%
=$ 211.59

A line drawn from one corner of a rectangle to the opposite corner is called

Answers

The corner of a rectangle is called the vertex of the rectangle.

Joining any two adjacent vertices is the side of the rectangle.

Joining any two vertices which are opposite to each other is called a diagonal of the rectangle.

The length of both the diagonals of a rectangle is always equal.

Final answer:

A line drawn from one corner of a rectangle to the opposite corner is called a diagonal in mathematics. It's a vector contains two components: the x-component and the y-component that are parallel to the x-axis and y-axis, respectively.

Explanation:

In the field of mathematics, a line drawn from one corner of a rectangle to the opposite corner is referred to as a diagonal. This line is equivalent to a vector that encompasses two components. The x-component Ax is the side of the rectangle that is parallel to the x-axis and the y-component Ay is the side parallel to the y-axis. To visualize it, consider a rectangle with corners A, B, C, and D. Draw a line from corner A to corner C. This line is the diagonal of the rectangle.

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Alan Cohl obtained an installment loan for $3,560. His finance charge is $308.56, and he will make 18 monthly payments. What is the APR?

Answers

The required APR is 56.01%.

What is APR?

The annual percentage rate (APR) is the cost of borrowing money expressed as a yearly percentage. It provides a more comprehensive picture of a loan's cost than the interest rate alone. It includes the interest rate, as well as any discount points or other costs.

A good APR is around 16%, which is the current credit card average. Individuals with poor credit may only have access to higher-interest credit cards. Some consumers with good credit may be able to obtain cards with interest rates as low as 12%.

Alan Cohl obtained an installment loan for $3,560.

His financecharge is $308.56, and he will make 18 monthly payments.

We know that

Annual percentage rate = monthly rate x 12

Now, the total interest

= 308.56 x 18 - 3560

= $1994.08

and, monthly interest = 1994.08/12 = 166.173

Also, the monthly rate = 166.173/3560 =4.7%

Thus, the APR = 4.7 x 12

APR = 56.01%

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Annual percentage rate = monthly rate * 12
total interest = 308.56*18-3560 = 1994.08
monthly interest = 1994.08/12 = 166.173
monthly rate = 166.173/3560 =4.7%
APR = 4.7*12 = 56.01%

Place the following numbers in order from least to greatest.300, 0, -200, 200, -150, -250, 150

Answers

Answer:

-250 , -200 , -150 , 0 , 150 , 200 , 300

Step-by-step explanation:

Answer:

-250, -200, -150, 0, 150, 200, 300

Step-by-step explanation:

Only regular polygons with an even number of sides are symmetrical? True or false?

Answers

Answer:

The given statement:

Only regular polygons with an even number of sides are symmetrical is a FALSE STATEMENT.

Step-by-step explanation:

A symmetrical figure or a polygon means that if it is into halves such that the halves looks similar or match exactly then the figure is said to be symmetrical.

We know that a regular polygon with 'n' number of sides has exactly n number of axis of symmetry.

Hence, no matter whether the regular polygon has even number of sides or odd number of sides it will be symmetrical.

Answer: false

took the quiz

Peaches come in large and small cylindrical cans. The larger can has a radiusand height that are both four times longer than the radius and height of thesmaller can. If the volume of the smaller can is 32.16 in what is the volume ofthe larger can?O A. 385.92 in 3O B. 257.28 in3O C. 128.64 inO D. 2058.24 in

Answers

Answer:

D. 2058.24 in³

Step-by-step explanation:

Let r,h be the radius and height of smaller can and R,H be the radius and height of larger can

Then, R=4r  and H=4h

Volume of smaller can=32.16 in³

        ⇒                  πr²h=32.16 in³

Volume of larger can= πR²H

                                  = π(4r²)×4h

                                 = 64πr²h

                                 = 64×32.16 in³

                                =  2058.24 in³

Hence, correct option is:

D. 2058.24 in³

Answer:


The answer is D