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3 years ago

ASAP please sorry if it'd small it was blurry close up!!!

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

4 0

She needs to answer 16 questions to get -80. (80÷5=16) but since she needs a smaller score than that to win the game, she then will have to answer more than 16 questions correctly. at least 17 to get less that -80. Hopefully I am understanding the question right.

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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!

Center of the circle:

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.

Radius:

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:

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

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

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

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

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

3 years ago

Doors for the small cabinets are 11.5 inches long. Doors for the large cabinets are 2.3 times as long as the doors for the small

tiny-mole [99]

The size of the large cabinets door = 2.3 * 11.5 = 26.45 inches
the board size in inches = 10 1/2 * 12 = 126 inches
number of doors = 126 / 26.45 = 4.76
so the number of doors = 4 doors

7 0

3 years ago

B) 3x+2 = 2x + 13 divided by 3

forsale [732]

X=7/3
solution steps:
subtract 2 from both sides
subtract 2x from both sides

6 0

3 years ago

Write a decimal that is 1\10 of 0.9

exis [7]

I am pretty sure it would be 0.09

6 0

3 years ago