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4 years ago

Write the equation of the circle with center (2, 1) and (5, 2) a point on the circle.

Mathematics

1 answer:

Y_Kistochka [10]4 years ago

6 0

(x-2)^2 +(y-1)^2 = 10

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Work out the number that is halfway between 27 times 38 and 33 times 38.

lutik1710 [3]

$27*38=1026\\
33*38=1254\\
x-between\ number\\
x=\frac{1026+1254}{2}\\
x=\frac{2280}{2}\\
x=1140$

4 0

4 years ago

Simplify the expression x^5 •x^7

Alik [6]

Answer:

${x}^{12}$

Step-by-step explanation:

$x^5 •x^7 = {x}^{5 + 7} = {x}^{12} \\$

5 0

3 years ago

Read 2 more answers

Katie works part-time at a Fallbrook riding stable she makes $5 an hour for exercising horses and $10 an hour for cleaning stall

Nookie1986 [14]

In order to at least earn $90, Katie can work exercising horses for 6 hours and cleaning stalls for 6 hours.

Step-by-step explanation:

Let hours of exercising horses be x --> $5 per hour = 5x

Let hours of cleaning stalls be y --> $10 per hour = 10y

Total earning = $\geq 90$

Total hours = 12

Equation 1:

5x + 10y = $\geq 90$

Equation 2:

x + y $\leq 12$

1. Multiply equation 2 by -5

x + y $\leq 12$ (*-5)

5x + 10y = $\geq 90$

-5x - 5y $\leq -60$

5x + 10y = $\geq 90$

2. Solve

-5x + 5x -5y + 10y = -60 + 90

5y = 30

y = 6

x + y = 12

x + 6 = 12

x = 6

Therefore, in order to at least earn $90, Katie can work exercising horses for 6 hours and cleaning stalls for 6 hours.

Keywords: Simultaneous, hours, equations

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3 0

4 years ago

What is 16 divided 1/4

kotegsom [21]

Answer:

Step-by-step explanation:

1/4 as fraction is 0.25 16/0.25 is 64

3 0

3 years ago

Select the two values of x that are roots of this equation. x^2+1=5x *APEX

snow_lady [41]

Answer:

$\large\boxed{B.\ x=\dfrac{5+\sqrt{21}}{2},\ C.\ x=\dfrac{5-\sqrt{21}}{2}}$

Step-by-step explanation:

$\text{Use the quadratic formula:}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\================================\\\\\text{We have}:\\\\x^2+1=5x\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\x^2-5x+1=0\\\\a=1,\ b=-5,\ c=1\\\\b^2-4ac=(-5)^2-4(1)(1)=25-4=21\\\\x=\dfrac{-(-5)\pm\sqrt{21}}{2(1)}=\dfrac{5\pm\sqrt{21}}{2}$

6 0

3 years ago

Read 2 more answers