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3 years ago

Write an equation for a circle with a radius of 3 and a center located at point (2,-1)

Mathematics

1 answer:

jeyben [28]3 years ago

4 0

Answer:

(x - 2)^2 + (y + 1)^2 = 9

Step-by-step explanation:

recall the equation for a circle:

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

here (h, k) = (2, -1)

and r = 3

(x - 2)^2 + (y -(-1))^2 = 3^2

(x - 2)^2 + (y + 1)^2 = 3^2

(x - 2)^2 + (y + 1)^2 = 9

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Jessica is planting a garden. It has the shape of a right triangle. She wants 2 plants for each square yard of area. How many pl

attashe74 [19]

Answer:

42 plants

Step-by-step explanation:

Dimensions are missing.

Suppose a right triangle has a base of length 7yards and a height of 24 yards.

As you know, Area of triangle can be determined by

Area of triangle 'A'= 1/2 x b x h = 1/2 x 7 x 24

A= 84 yards²

Now she wants 2 plants for each square yard of area

therefore, if the area is 84 yards²:

number of plants are 84/2=> 42 plants

Thus, She wants 42 plants in the garden

6 0

3 years ago

What is the factorization of x²+8x+7?

Alika [10]

(x+1)(x+7)
= <span>x^2 + x +7x+7
= </span><span>x²+8x+7

answer
</span><span>D. (x+1)(x+7)</span>

5 0

3 years ago

if the population of a country increases at a rate of 1.5% annually, and it’s current population is 430,000, how many years will

aleksandrvk [35]

Hi,
$a_0=430000\\
a_1=a_0*1.15\\
a_2=a_1*1.15=a_0*1.15^2\\
...\\
a_n=a_0*1.15^n\\

a_n \geq 3*a_0\\

1.15^n \geq 3\\

n*ln(1.15) \geq ln(3)\\

n \geq \dfrac{ln(3)}{ln(1.15)} \\

n \geq 7.86059688...\\\\

\boxed{n \geq 8}\\

$

8 0

3 years ago

Divide using polynomial long division.<br> (2x3 – 16x² + 37x – 26) = (x - 5)

worty [1.4K]

the solution to the given synthetic division will be expressed as $(2x^2 - 6x + 7) + \frac{9}{x-5}$

<h3>Synthetic division of a polynomial</h3>

According to the given question, we are to divide (2x³ – 16x² + 37x – 26) by (x - 5)

2x^2 - 6x + 7

x - 5 | 2x³– 16x² + 37x – 26

2x³ - 10x²

__________

-6x² +37x

-6x² +30x

_______________

7x - 26

7x - 35
______________

9 - Remainder

Hence the solution to the given synthetic division will be expressed as:

$P(x) = Q(x) + \frac{R(x)}{D(x)} \\(2x^3 -16x^2 + 37x - 26 = (2x^2 - 6x + 7) + \frac{9}{x-5}$

Learn more on synthetic division here: brainly.com/question/24662212

3 0

2 years ago

A translation moves point V(–2, 3) to V prime (negative 2, 7). Which are true statements about the translation? The point moves

Travka [436]

Answer:

The transformation rule is (x, y) → (x + 0, y + 4).

There occurs a transformation of vertical translation.

Step-by-step explanation:

A translation moves point V(–2,3) to V'(-2,7).

We have to choose the true statement about the translation from the given options.

The transformation rule is (x, y) → (x + 0, y + 4).

There occurs a transformation of vertical translation. (Answer)

{Since the x-value does not change and the y-value changes by 4 unit to the upward direction}

5 0

3 years ago

Read 2 more answers