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3 years ago

Numbers AMBER 1 Explain how we know V30 lies between 5 and 6.

Mathematics

1 answer:

Anastasy [175]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

5² = 25 and 6² = 36

( $\sqrt{30}$ )² = 30

Then

25 < 30 < 36

Thus $\sqrt{30}$ lies between 5 and 6

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Write the standard equation of the circle with the given Center and radius:

Kipish [7]

9514 1404 393

Answer:

B. (x +4)² +(y +5)² = 64

Step-by-step explanation:

The equation for a circle with center (h, k) and radius r is ...

(x -h)² +(y -k)² = r²

Filling in your given values, you have ...

(x -(-4))² +(y -(-5))² = 8²

Simplifying, you get ...

(x +4)² +(y +5)² = 64 . . . . . . . matches choice B

_____

Additional comment

As you learn more different "standard form" equations, it may be helpful to keep a list, along with reminders of what the variables stand for and how the equation is used.

5 0

3 years ago

What is the equation, in slope-intercept form, of the line

Sati [7]

Given:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

Slope of the given line:

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates (-1,3) and (2,2), we get;

$m_1=\frac{2-3}{2+1}$

$m_1=-\frac{1}{3}$

Thus, the slope of the given line is $m_1=-\frac{1}{3}$

Slope of the perpendicular line:

The slope of the perpendicular line can be determined by

$m_2=-\frac{1}{m_1}$

Substituting $m_1=-\frac{1}{3}$ , we get;

$m_2=-\frac{1}{-\frac{1}{3}}$

simplifying, we get;

$m_2=3$

Thus, the slope of the perpendicular line is 3.

Equation of the perpendicular line:

The equation of the perpendicular line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=3$ and the point (2,-1) in the above formula, we have;

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

$y+1=3x-6$

$y=3x-7$

Thus, the equation of the perpendicular line is $y=3x-7$

Hence, Option d is the correct answer.

3 0

3 years ago

Jay bought 6 bags of maize at shs 2700 each.He sold the bags at shs.3300 each. what was his profit?

NISA [10]

Answer:

3300-2700= 600 x 6 = 3600

7 0

3 years ago

I have been stuck on this all day, please explain how to do this

german

Answer:$3,700

Step-by-step explanation:

Gross sales are the total amount of sales a company earned throughout a specific period of time, without taking into consideration any costs involved with running a business. Gross sales do not factor in expenses related to running a business, also known as cost of goods sold (COGS), which get deducted when calculating net sales. For example, they do not account for costs associated with item production, employee wages, building rent, returns, theft or sales tax.

Gross Sales = $3,700

8 0

3 years ago

The value of a and b

Jlenok [28]

Answer:

Both a and b would both equal 45 degrees

Step-by-step explanation:

To find this, we need to note that a and 135 create a straight line. Since a straight line has 180 degrees, we can create an equation to solve for a.

135 + a = 180

a = 45

Now that we know a is equal to 45, we can tell that b is also equal to that amount. This is because two parallel lines cut by a transversal creates the same angle.

3 0

3 years ago