Find the volume of the rectangular prism.

An equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (1, −2) is y = 3x - 5.

Mathematically, the standard form of the equation of a straight line (slope-intercept form) is given by this mathematical expression;

y = mx + c

Where:

From the information provided, we have the following points on line g:

Point = (-3, 6)

Point = (0, 5)

Next, we would determine the slope of line g as follows;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (5 - 6)/(0 - (-3))

Slope, m = -1/3

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

-1/3 × m₂ = -1

m₂ = 3

At point (1, -2), an equation of this line can be calculated in slope-intercept form as follows:

y - y₁ = m(x - x₁)

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

y + 2 = 3x - 3

y = 3x - 3 - 2

y = 3x - 5

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer: See explanation

Step-by-step explanation:

The arithmetic mean will be gotten by adding the numbers together and dividing them by 2. This will be:

= (3 + 7)/2

= 10/2

= 5

Geometric mean will be:

= ✓3 × 7

= ✓21

= 4.59

The missing measure of the given right-angled triangle is: x = 2.5

Given a right-angled triangle, with one of its angle as 14° ,assume

angle y= 14°. Also given length of one of it's side is 18. Let's assume the side as z = 18.

As it is given it's a  right-angled triangle,

∴ By using trigonometric formula,

 tan y = opposite /adjacent

∴ tan 14° = z/x

 tan 14°  = 18/x

 7.24 = 18/x                   ......( as tan 14°= 7.24)

∴ x = 2.48

∴ x ≈ 2.5

To know more about trigonometry, check out:

brainly.com/question/13729598

#SPJ1

Answer:

2by8 of marians garden

Step-by-step explanation:

Answer:

Step-by-step explanation:

To prove that a quadrilateral ABCD is a trapezium when the diagonals intersect at a point O such that AO/BO=CO/DO, we can use the fact that opposite sides of a trapezium are parallel.

First, let's draw a diagram to represent the given information:

[asy]

pair A, B, C, D, O;

A = (0,0);

B = (2,0);

C = (3,2);

D = (1,2);

O = intersection point(A-C, B--D);

draw(A--B--C--D--cycle);

draw(A-C);

draw(B--D);

label("A", A, W);

label("B", B, E);

label("C", C, E);

label("D", D, W);

label("O", O, N);

label("$\theta_1$", (B+O)/2, NE);

label("$\theta_2$", (O+D)/2, NE);

label("$\theta_3$", (O+C)/2, NW);

label("$\theta_4$", (A+O)/2, NW);

[/asy]

Since the diagonals intersect at point O, the angles formed by the diagonals at O are supplementary (that is, they add up to 180 degrees). In other words, we have:

θ1 + θ2 = 180 degrees

θ3 + θ4 = 180 degrees

Since AO/BO=CO/DO, the triangles AOB and COD are similar. This means that the ratios of their sides are equal. We can write this as:

AO/BO = CO/DO

We can also write this as:

AO/DO = CO/BO

Then, since the angles formed by the diagonals at O are supplementary, we have:

θ1 + θ2 = 180 degrees

θ1 + θ4 = 180 degrees

Subtracting these two equations gives us:

θ2 - θ4 = 0

Since the angles are equal, they are also opposite angles of the quadrilateral ABCD. Therefore, the opposite sides of AB and CD are parallel, which means that ABCD is a trapezium.

Answer:

A

Step-by-step explanation:

the base is the the big number, the exponent the small one

Answer:

The probability of the event is 1. False

The probability of the event is 0. False

What is the expected probability of this event?

The probability of the event is (500 million successful events) / (3 billion total repetitions) = 0.1667 or 16.67%.

What is the expected probability of the complement of the event?

The complement of the event is the event not happening. The probability of the event not happening is (3 billion total repetitions - 500 million successful events) / (3 billion total repetitions) = 0.8333 or 83.33%.

Uday Tahlan

Answer:

729

Step-by-step explanation:

You are multiplying 3 each time. The first 4 terms are given to you:

Term 1: 9

Term 2: 9 x 3 = 27

Term 3: 27 x 3 = 81

Term 4: 81 x 3 = 243

Term 5: 243 x 3 = 729

729 is the 5th term of the geometric sequence.

Answer:

729

Step-by-step explanation:

Each terms are multiplied by 3.

So the 5th term is 243*3 = 729.

Answer:

o to http://

Step-by-step explanation:

Answer:

77.40

Step-by-step explanation:

Step-by-step explanation:

let the ratio be x

then, 5x, 4x is the ratio of hotdog and hamburger

According to question,

5x+3x=36

8x=36

x=36÷8

x=4

therefore, no, of hotdogs are= 5x

=5×4

=20

Answer:

1-3 y

Step-by-step explanation:

Subtract the numbers 4 AND 3 WHICH WOULD EQUAL REWRITING THE ADDITON SO IT CHANGES THE MINUS SIGN TO A PLUS.

Answer:

You have to see for yourself on the picture we cannot see. But from these statements alone it's either the second or the fourth option.

Step-by-step explanation:

They are perpendicular because their slopes are equal - Doesn't make sense, they would be parallel not perpendicular

They are perpendicular because their slopes are negative reciprocals - Makes sense

They are not perpendicular because their slopes are equal - Makes sense but it does not explain their relationship as well as the statement above

They are not perpendicular because their slopes are not negative reciprocals - Makes sense since that's how perpendicular lines work.

Conclusion, since we can't see the lines. You have to see for yourself on the picture we cannot see. But from these statements alone it's either the second or the fourth option.

If you add a picture I can narrow it down.

Answer:

385

Step-by-step explanation:

Answer:

The image shows the answer and below I will explain more about it.

Step-by-step explanation:

To draw a line all you need is two points on the graph, and people mainly use the coordinates of the y and x intercepts to draw it (when x=0 and when y=0)

so for these questions all we do is:

y=0+2 (we are putting x=0 into the equation)

y=2, x=0 so this is the first of our set of coords:

0=x+2

x=-2 y=0 (we are putting y=0 into the equation)

so all you do is plot these in and draw a line which passes between both,

now just repeat for the other one :)

Answer:

C

Explanation:

they are in the ratio 1:2

The solution is Option C.

The triangle PRQ with sides 6 cm , 8 cm and 10 cm is similar to the triangle ABC with sides 3 cm , 4 cm and 5 cm and the ratio is 1 : 2

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔABC

Now , the measure of side AB = 3 cm

The measure of side BC = 4 cm

The measure of side AC = 5 cm

Now , let the second triangle be represented as ΔPQR

where , the measure of side PQ = 6 cm

The measure of QR = 8 cm

The measure of PR = 10 cm

The ratio of sides of the triangle is 1 : 2

So , the triangles ΔABC and ΔPQR are similar and the corresponding sides are also in the ratio

Hence , the similar triangle is with the sides 6 cm , 8 cm and 10 cm

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ6

Answer: To determine whether the distance the puck travels per second is constant, we can use the concept of average speed. Average speed is defined as the total distance traveled divided by the time it takes to travel that distance.

If the average speed is constant, then the distance the puck travels per second is also constant. If the average speed is not constant, then the distance the puck travels per second will vary.

To determine the average speed, we need to know the total distance traveled and the time it took to travel that distance. Once we have this information, we can calculate the average speed by dividing the total distance traveled by the time it took to travel that distance. If the resulting value is constant, then the distance the puck travels per second is also constant.

Step-by-step explanation:

Answer:

4.800097e+50

Step-by-step explanation: multiply

Answer:

4.800097e+50

Step-by-step explanation:

please mark this answer as brainliest and leave a thanks

Answer:

whats the mass of 1 dog bone

have a good day :)

Step-by-step explanation:

Answer:

it is D :)

Step-by-step explanation:

Answer: it's c

n = 1

Step-by-step explanation:

Answer:  An equation has two solutions when it has two distinct values that can be assigned to the variable to make the equation true.

In this case

equation A. W=-1 is a single solution

equation B. W=1 is a single solution

equation C. W=-2 is a single solution

equation D. W=0 is a single solution

So none of the given equations have two solutions. they all have only one solution.

It's worth mentioning that, if the equation is a quadratic equation (in the form of ax² + bx + c = 0) and it has a non-zero discriminant (b² - 4ac) then the equation will have two distinct real solutions.

In this case the equations are not in that form, and also doesn't show any signs of having two solutions.

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

x=-1, y=-1

x=0, y=0

Graph D (fourth option)