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2 years ago

What is the order of steps to calculate the volume of prime?

Mathematics

1 answer:

Vlad1618 [11]2 years ago

7 0

Answer

V= Base x Height x Width

Step-by-step explanation:

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Tell whether the lines through the given points are parallel, perpendicular, or neither?

Paha777 [63]

$Slope\,\,1=\frac{-1}{slope\,\,2}$

So, Both lines are perpendicular

Step-by-step explanation:

We need to identify if lines:

Line 1: (8,12)(7,-5)

Line 2: (-9,3)(8,2)

are parallel, perpendicular, or neither?

Lines are parallel if they have same slopes i.e slope 1= slope2
Lines are perpendicular if their slopes are negative inverses of each other i.e slope 1= -1/slope 2

The formula used to find slope is:

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

Finding Slope of Line 1:

The points are: Line 1: (8,12)(7,-5)

$x_1=8, y_1=12, x_2=7,y_2=-5$

Putting values in the formula:

$Slope\,\,1=\frac{y_2-y_1}{x_2-x_1}$

$Slope\,\,1=\frac{-5-(12)}{7-8}$

$Slope\,\,1=\frac{-5-12}{-1}$

$Slope\,\,1=\frac{-17}{-1}$

$Slope\,\,1=17$

So, Slope of line 1 is 17

Finding Slope of Line 2:

The points are: Line 2: (-9,3)(8,2)

$x_1=-9, y_1=3, x_2=8,y_2=2$

Putting values in the formula:

$Slope\,\,2=\frac{y_2-y_1}{x_2-x_1}$

$Slope\,\,2=\frac{2-(3)}{8-(-9)}$

$Slope\,\,2=\frac{2-3}{8+9}$

$Slope\,\,2=\frac{-1}{17}$

So, Slope of line 2 is $\frac{-1}{17}$

Since $Slope\,\,1=\frac{-1}{slope\,\,2}$

So, Both lines are perpendicular

Keywords: Slope of Lines

Learn more about Slope of lines at:

#learnwithBrainly

7 0

2 years ago

If G varies inversely as r, and G = 18 when r= 4, find G when r= 6

UkoKoshka [18]

The model to use here is y = k/x.

If g =18 when r = 4, then 18 = k/4. Solving for k, k = 72.

Then g = 72/r. If r = 6, g = 72/6 = 12 (answer)

3 0

3 years ago

Find the x-intercept for y = 3x^2 + 6x − 10

azamat

Answer:

x-intercepts: (-3.08, 0) and (1.08, 0)

Step-by-step explanation:

Given:

The function is given as:

$y=3x^2+6x-10$

In order to find the x-intercept, we need to equate the given function to 0 as x-intercept is the point where the 'y' value is 0. So,

$y=0\\3x^2+6x-10=0$

Now, this is a quadratic equation of the form $ax^2+bx+c=0$

We find the solution using the quadratic formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here, $a=3,b=6,c=-10$

Now, the solutions are:

$x=\frac{-6\pm \sqrt{6^2-4(3)(-10)}}{2(3)}\\\\x=\frac{-6\pm \sqrt{36+120}}{6}\\\\x=\frac{-6\pm \sqrt{156}}{6}\\\\x=\frac{-6}{6}-\frac{2\sqrt{39}}{6}\ or\ x=\frac{-6}{6}+\frac{2\sqrt{39}}{6}\\\\x=-1-2.08\ or\ x=-1+2.08\\\\x=-3.08\ or\ x=1.08$

Therefore, the x-intercepts are (-3.08, 0) and (1.08, 0)

5 0

2 years ago

A ticket selling company charges a service charge of $4 to buy tickets.

laiz [17]

Answer=D, Y=55x + 4. This is the answer.......

Btw: this is my first answer I done ;)

8 0

2 years ago

Read 2 more answers

(x - 2)(-5x2 + x) = (x)(-5x2)+(x)(x) + (-2)(-5x²)+(-2)(x) is an example of:

Schach [20]

Answer:

A. Vertical multiplication

Step-by-step explanation:

What happens:

What happens here is that each term on the first parenthesis multiply each term on the second paranthesis, that is, the application of the distributive property, which is the most widely used procedure to solve a vertical multiplication, meaning that the answer is given by option a.

4 0

2 years ago