Answer:
2√13
Step-by-step explanation:
using the distance formula;
d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
you plug the numbers in. once done you get 2√13.
Hope it helps!
The circumference of a circle with a radius of 12 cm is 75.45 cm
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
The circumference of a circle is given by:
Circumference = 2π * radius
Hence:
Circumference = 2(22/7)(12) = 75.45 cm
The circumference of a circle with a radius of 12 cm is 75.45 cm
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She spent $6.12 on the muffins for her and her friends, and she has $8.36 left on her gift card. By multiplying 6 by $1.02, you get the amount she spent, and by subtracting $14.48 by $6.12, I find how much she has left on her gift card.
Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
Answer:
Five sixths of a yard is 30 inches
Step-by-step explanation: