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2 years ago

STEP BY STEP PLS

1 answer:

4 0

C ( To make things simple, let's turn 80% into a fraction, 8/10. To get a common denominator let's turn 8/10 into 4/5. Since they are both of equal size, the first group would have 2/5 left-handed people and the second 1/5 left-handed people. Let's imagine that each group has 5 people in it. There would be 10 people in total. There is 1 person for each fifth so we can add now. 4 + 3 = 7 right handed people. To check, 2 + 1 = 3 and 3 + 7 = 10. so 7/10 of the class is right-handed. )

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raph the equation with a diameter that has endpoints at (-3, 4) and (5, -2). Label the center and at least four points on the ci

andreyandreev [35.5K]

Answer:

Equation:

${x}^{2} + {y}^{2} + 2x - 2y - 35= 0$

The point (0,-5), (0,7), (5,0) and (-7,0)also lie on this circle.

Step-by-step explanation:

We want to find the equation of a circle with a diamterhat hs endpoints at (-3, 4) and (5, -2).

The center of this circle is the midpoint of (-3, 4) and (5, -2).

We use the midpoint formula:

$( \frac{x_1+x_2}{2}, \frac{y_1+y_2,}{2} )$

Plug in the points to get:

$( \frac{ - 3+5}{2}, \frac{ - 2+4}{2} )$

$( \frac{ -2}{2}, \frac{ 2}{2} )$

$( - 1, 1)$

We find the radius of the circle using the center (-1,1) and the point (5,-2) on the circle using the distance formula:

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

$r = \sqrt{ {(5 - - 1)}^{2} + {( - 2- - 1)}^{2} }$

$r = \sqrt{ {(6)}^{2} + {( - 1)}^{2} }$

$r = \sqrt{ 36+ 1 } = \sqrt{37}$

The equation of the circle is given by:

$(x-h)^2 + (y-k)^2 = {r}^{2}$

Where (h,k)=(-1,1) and r=√37 is the radius

We plug in the values to get:

$(x- - 1)^2 + (y-1)^2 = {( \sqrt{37}) }^{2}$

$(x + 1)^2 + (y - 1)^2 = 37$

We expand to get:

${x}^{2} + 2x + 1 + {y}^{2} - 2y + 1 = 37$

${x}^{2} + {y}^{2} + 2x - 2y +2 - 37= 0$

${x}^{2} + {y}^{2} + 2x - 2y - 35= 0$

We want to find at least four points on this circle.

We can choose any point for x and solve for y or vice-versa

When y=0,

${x}^{2} + {0}^{2} + 2x - 2(0) - 35= 0$

${x}^{2} +2x - 35= 0$

$(x - 5)(x + 7) = 0$

$x = 5 \: or \: x = - 7$

The point (5,0) and (-7,0) lies on the circle.

When x=0

${0}^{2} + {y}^{2} + 2(0) - 2y - 35= 0$

${y}^{2} - 2y - 35= 0$

$(y - 7)(y + 5) = 0$

$y = 7 \: or \: y = - 5$

The point (0,-5) and (0,7) lie on this circle.

3 0

3 years ago

Shipping department 17 employees budget of 3715 budget

Masja [62]

Please explain more...

5 0

3 years ago

Read 2 more answers

The coach of a baseball team separates the players into groups for drills.Each group has the same number of players. Is the tota

scZoUnD [109]

Answer:it is composite

Step-by-step explanation:

it is composite because if there is say 60 people on the team and he divided the groups amongst three people in each group then it would be 20 groups now that isn't prime see so it would be the same thing if the basketball coach separates the team into 10 groups and there's 60 people on that team that's not a prime number that would be a composite number so the answer is composite A prime number would be there's eight people in each group and he separates them into a group so that means that They would be 64 people on that team Now the book that I'm looking at right now doesn't tell you the people on that team and how much people there are on that team but it says there is a different amount from The number of teams to the number of people in the team see there's like eight people in the team and there is for groups so that means two people in each group so That means that the answer would have to be composite and not prime hope this helped somebody.

7 0

3 years ago

The base of a triangular prism is an isosceles right triangle with a hypotenuse of

Setler [38]

SA= Lateral Area + Area (of base)

Lateral area = perimeter of base x height

An isosceles triangle has two congruent base segments. The hypotenuse of an isosceles right triangle is (length of base segment) x (the square root of 2). I did the math for you (shown above) to get 5 as a base.

So 5 + 5 + square root of 50 is your perimeter

Multiply the perimeter times your height (8) and you get the lateral area.

Add your lateral area to the base area (triangle = 1/2 bh)

LA = 136.568...
Area of Triangle base = 12.5

Surface area = 149.068... square cm

6 0

3 years ago

Read 2 more answers

A stray dog ate 25 of your muffins that was 5/6 of all of them with how many did you start?

Maru [420]

Answer:

30 = total muffins

Step-by-step explanation:

To determine how many muffins were eaten, we take the total muffins times the fraction that were eaten

eaten muffins = total muffins * fraction

25 = total muffins* 5/6

Multiply each side by 6/5

6/5*25 = total muffins *5/6*6/5

30 = total muffins

3 0

3 years ago