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3 years ago

Solve 2x +7y = 4 for y

Mathematics

1 answer:

Lapatulllka [165]3 years ago

7 0

Answer:

y = 4/7 - 2/7x

Step-by-step explanation:

Hope it's correct :D

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2. Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).

ahrayia [7]

Answer:

The Answer is B

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus

(x - 2.5)² + (y - (- 3.5))² = 6², that is

(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle

5 0

3 years ago

Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the tabl

MakcuM [25]

The equation for the direct variation is y= kx (where k is contant of variation.)

This equation represent that if x will increase then y will also increase because it's k times x.

Where the equation for indirect variation is $y=\frac{1}{k} x$

By this equation if x will increase then y will decrease and vice versa.

The given data is :

x: 2 4 8 12

y: 4 2 1 2/3

Notice as x is increasing then y is decreasing. Like x has increased from 2 to 4 then y is decresing from 4 to 2 and so on.

So, the given data represent an indirect variation.

7 0

3 years ago

The rule that applies to the following number sentence 0÷7=0

Maurinko [17]

Anything multiplied by zero is zero

6 0

3 years ago

Read 2 more answers

If cot theta= 4/3, find csc theta

Marrrta [24]

Answer: Option d.

Step-by-step explanation:

The trigonometric identity needed is:

$csc^2\theta=cot^2\theta+1$

Knowing that $cot\theta=\frac{4}{3}$ :

Substitute it into $csc^2\theta=cot^2\theta+1$ :

$csc^2\theta=(\frac{4}{3})^2+1$

Simplify the expression:

$csc^2\theta=(\frac{4}{3})^2+1\\\\csc^2\theta=\frac{16}{9}+1\\\\csc^2\theta=\frac{25}{9}$

Solve for $csc\theta$ . Apply square root at both sides of the expression:

$\sqrt{csc^2\theta}=\±\sqrt{\frac{25}{9}}$

$csc\theta=\frac{5}{3}$

8 0

3 years ago

Write the equation of a line in point-slope form that has a slope of -1 and passes through the point (-2, 5).

vivado [14]

$The\ point-slope\ form:y-y_1=m(x-x_1)\\----------------------\\m=-1;\ (-2;\ 5)\to x_1=-2;\ and\ y_1=5\\\\\boxed{y-5=-1(x-(-2))\to y-5=-(x+2)}$

7 0

3 years ago