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Anestetic [448]
3 years ago
5

when you subtract a negative integer from another, will your answer be greater than or less than the integer you started with? e

xplain your reasoning and give an example
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
5 0
It depends if the negative number is bigger than the positive number your answer will be a negative number/answer for example -9 - 4 your answer would be -5 since the negative number is bigger it will be the other way around for a positive number if the positive number is bigger than the negative number your answer will be positive for example 5 - -2 = 3 or positive 3.
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A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.
mario62 [17]

Answer:

(x-7)^2+(y-5)^2=1

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

<u>Center of the circle:</u>

  • The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)

(x_m, y_m) = (7,5)

This is the center coordinate of our circle.

<u>Radius: </u>

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}

r = \sqrt{(6-7)^2+(5-5)^2}

r = \sqrt{1^2}

r = 1

<u>Equation of the circle: </u>

The equation is written as:

(x-a)^2+(y-b)^2=r^2

here, (a,b) are the center points of the circle

in our case this is (a,b)=(x_m,y_m)=(7,5)

and r = 1

(x-7)^2+(y-5)^2=1^2

(x-7)^2+(y-5)^2=1

This is the equation of the circle!

3 0
2 years ago
Write an equation in point-slope form for the line that passes through each point with the given slope (-1,-2) m= 3
Vedmedyk [2.9K]

Answer:

<h2>           y + 2 = 3(x + 1)</h2>

Step-by-step explanation:

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = 3

x₁ = -1

y₁ = -2

Therefore the equation:

                                      y - (-2) = 3(x - (-1))

<h3>                                   y + 2 = 3(x + 1)</h3>
7 0
2 years ago
Which shows a correct order to solve this story problem? Peter bought 3 biscuits for $1.59 each and 3 sausages for $2.50 each at
IceJOKER [234]
Since he bought more than one of each, he needs to find the total cost of the biscuits and sausage first.

 The correct answer should be:

<span>B. Step 1: Calculate the price of 3 biscuits. Step 2: Calculate the price of 3 sausages. Step 3: Add the total amounts from Steps 1 and 2 to the amount of the tip. Step 4: Subtract that total amount from $25.</span>
5 0
2 years ago
Please please please help
kenny6666 [7]

Answer: 2nd option

Step-by-step explanation:

5 0
2 years ago
HELP!!!
Dmitrij [34]

Answer:

-2 Celsius >-5 Celsius is the answer.

3 0
2 years ago
Read 2 more answers
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