Please HELP!! find the area of the rhombus.

A highway map of Ohio has a coordinate grid superimposed on top of the state. Springfield is at point (1, –4) and Columbus is at

Vedmedyk [2.9K]

The midpoint, where the rest area is, will just be the average of the coordinates of Springfield and Columbus.

Rest Area=((1+7)/2, (-4+1)/2)

Rest Area=(4, -1.5)

The distance between the two cities can be found using the Pythagorean Theorem, which used in the manner is often referred to as the "distance" formula between two points.

d^2=(x2-x1)^2+(y2-y1)

d^2=(7-1)^2+(1--4)^2

d^2=36+25

d^2=61

d=√61 and we are told that each unit is equal to 5.38mi so the distance from Springfield to Columbus is:

D=5.38√61 mi

D≈42.02mi (to nearest hundredth of a mile)

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=5x%5E%7B2%7D%20%2B11x%2B2%3D0" id="TexFormula1" title="5x^{2} +11x+2=0" alt="5x^{2} +11x+2=0"

eimsori [14]

The solutions to the quadratic equation in the exact form are x = -1/2 or x = -5

<h3>What are quadratic equations?</h3>

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

<h3>How to determine the solution to the quadratic equation?</h3>

A quadratic equations can be split to several equations and it can be solved as a whole

In this case, the quadratic equation is given as

5x^2 + 11x + 2 = 0

Using the form of the quadratic equation y = ax^2 + bx + c, we have

a = 5, b = 11 and c = 2

The quadratic equation can be solved using the following formula

x = (-b ± √(b^2 - 4ac))/2a

Substitute the known values of a, b and c in the above equation

x = (-11 ± √(11^2 - 4 * 5 * 2))/2*2

Evaluate the exponent

x = (-11 ± √(121 - 4 * 5 * 2))/2*2

Evaluate the products

x = (-11 ± √(121 - 40))/4

Evaluate the sum

x = (-11 ± √(81))/4

Take the square root of 81

x = (-11 ± 9)/4

Expand

x = 1/4 * (-11 + 9) or x = 1/4 * (-11 - 9)

Evaluate the difference

x = 1/4 * -2 or x = 1/4 * -20

Evaluate the product

x = -1/2 or x = -5

Hence, the solutions to the quadratic equation in the exact form are x = -1/2 or x = -5

Read more about quadratic equations at

brainly.com/question/1214333

#SPJ1

4 0

2 years ago

Suppose a charity received a donation of 12.7 million. If this represents 29% of the charity's donated funds, what is the total

DanielleElmas [232]

The total amount of its donated funds is 43 $\frac{23}{29}$ .

Given,

In the question:

A charity received a donation of 12.7 million.

If this represents 29% of the charity's donated funds.

To find the total amount of its donated funds.

Now, According to the question:

Based on the given conditions:

Received donation is = 12.7 million

Charity Funds = 29%

Formulate;

12.7 ÷ 29%

12.7/29%

= 12.7/0.29

Multiply both the numerator and denominator with the same integer

= 1270/29

= 43 $\frac{23}{29}$

Hence, The total amount of its donated funds is 43 $\frac{23}{29}$ .

Learn more about Percentage at:

brainly.com/question/19559470

#SPJ1

7 0

1 year ago

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

NNADVOKAT [17]

Answer: B

Step-by-step explanation: if 24 to 16 is 3:2 then because this is directly proportional it would be that x is 6:4

6 0

3 years ago

Solve mentally. See the image below.

Sholpan [36]

37.5% of 20 is 7.5 so the answer is 37.5%

7 0

3 years ago

Read 2 more answers