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3 years ago

8

What is the standard equation of the circle in the graph

1 answer:

ivanzaharov [21]3 years ago

6 0

Answer:

option 1

Step-by-step explanation:

formula:(x-h)^(2)*(y-k)^(2)=r^2

well if you move the circle 3 units left h is (-3), plug it in, you get 3, so it is (x+3)^2*(y-k)^(2)=r^2

if you move the circle 2 units up, plug it in you get (-2), so it is

(x+3)^2*(y-2)^(2)=r^2

now, the radius is 3 (we can see from the graph) so radius ^2 is 9, thus

(x+3)^2*(y-2)^(2)=9

this is the answer, and the option that has it is answer is option 1

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If a gardner plants beans in 1/8 of a plot and tomatoes in 1/6 of a plot, what fraction of the garden is left for other crops

JulsSmile [24]

You simply have to sum the two fraction together to get the total amount of occupied plot. To do so, multiply both numerator and denominator of each fration by the same number, so that they end up having the same denominator.

You can multiply both numerator and denominator of 1/8 by 3 to get 3/24. Similarly, you can multiply both numerator and denominator of 1/6 by 4 to get 4/24.

Now we can easily sum the two fractions together:

$\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{3}{24}+\dfrac{4}{24} = \dfrac{7}{24}$

So, if 7 parts out of 24 are occupied, it means that there are $24-7=17$ parts left for other crops. So, the answer is 17/24.

5 0

3 years ago

What is the factored equation for f(x)=x+x-6

tekilochka [14]

Answer:

f(x)=2(x-3) yup that's the answer

8 0

3 years ago

farmer pythagoras has three fields, but only two children. What is the easiest way for him to split the land in his fields equal

svetoff [14.1K]

Give each of the kids a full field then have them share or split the other field

7 0

3 years ago

Murljashka [212]

Answer:

$-\frac{2}{5}$

Step-by-step explanation:

Given expression:

2x + 5y = -10

The equation of a straight line is;

y = mx + c

y and x are the coordinates

m is the slope

c is the intercept

Now;

let us write the given expression in slope intercept format;

2x + 5y = -10

5y = -2x - 10

y = $-\frac{2x}{5}$ - 2

So, the slope of the line is $-\frac{2}{5}$

8 0

3 years ago

Find the percent of increase to the nearest whole from 12 to 20

ankoles [38]

Answer:

The answer is

<h2> $67\%$ </h2>

Step-by-step explanation:

To find the percentage increase we use the formula

<h3> $Percentage \: change = \frac{change}{original \: \: quantity} \times 100\%$ </h3>

From the question

The original value = 12

To find the change we subtract the smaller value from the larger one

That's

Change = 20 - 12 = 8

So the percentage increase is

<h3> $\frac{8}{12} \times 100 \%\\ = \frac{2}{3} \times 100\% \\ = 66.67\%$ </h3>

We have the final answer as

$67\%$ to the nearest whole number

Hope this helps you

3 0

3 years ago