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3 years ago

Solve for y in the following equation.

Mathematics

1 answer:

Tju [1.3M]3 years ago

5 0

Answer:

$y = \frac{z^2 - x}{2}$

Step-by-step explanation:

Given:

$\sqrt{x + 2y} = z$

Required:

Solve for y (make y the subject of the formula)

SOLUTION:

$\sqrt{x + 2y} = z$

Square both sides

$(\sqrt{x + 2y})^2 = z^2$

$x + 2y = z^2$

Subtract both sides by x

$2y = z^2 - x$

Divide both sides by 2

$y = \frac{z^2 - x}{2}$

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A student heats a crucible and sample of a hydrate as directed in the lab procedure. However, the student removes the crucible f

vampirchik [111]

Answer:

The mass will alter with time as water is absorbed back into the crystals.

Step-by-step explanation:

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2 years ago

Y is inversely proportional to x and y = 24 when x = 2.

bija089 [108]

Answer:

k = 48

For x = 6, y = 8.

Step-by-step explanation:

The general equation for inverse variation is

y = k/x

We are told that y = 24 when x = 2, so we plug in those two values in the general equation to find the value of k.

24 = k/2

k = 24 * 2 = 48

Now that we know k = 48, the equation for our case is

y = 48/x

Now we plug in x = 6 and find y.

y = 48/x

y = 48/6

y = 8

6 0

3 years ago

ANSWER ASAP!! Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.

Setler79 [48]

Answer:

Step-by-step explanation:

<h3>METHOD 1:</h3>

You can use the Heron's formula:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

<em>p</em><em> - half of perimeter</em>

<em>a, b, c</em><em> - lengths of sides</em>

We have

$a=12m;\ b=15m;\ c=9m$

Calculate:

$p=\dfrac{12+15+9}{2}=\dfrac{36}{2}=18\ (m)\\\\A=\sqrt{18(18-12)+(18-15)(18-9)}\\\\A=\sqrt{(18)(6)(3)(9)}\\\\A=\sqrt{2916}\\\\A=54\ (m^2)$

<h3>METHOD 2:</h3>

Let's check that it is not a right triangle.

If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.

We have

$9m < 12m$

Check:

$9^2+12^2=81+144=225\\15^2=225$

This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.

The formula of an area of a right triangle is:

$A=\dfrac{ab}{2}$

Substitute:

$A=\dfrac{(9)(12)}{2}=\dfrac{108}{2}=54\ (m^2)$

6 0

3 years ago

Use the figure below to determine the length of sides b and c. options: b = 5√3, c = 10 b =10, c = 5√3 b = 5√2, c = 10√3 b = 5,

Reil [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the greatest common divisor of 33489, 3948, and 3949

storchak [24]

33489 = 32×612

3948 = 22×3×7×47

3949 = 11×359

GCD = 1

33489 / 1 = 33489

3948 / 1 = 3948

3949 / 1 = 3949

3 0

2 years ago