The trailer ramp is shaped like a triangle prism . The height of the ramp is 14 inches and the volume of the ramp is 4704 inches 3. What is the area of the base of the trailer ramp in the square centimeters?

Answer:

y=3x+10

Step-by-step explanation:

When two lines are parallel they are going to have the same slope which is 3x. The only thing we need to find is the y intercept based on the point they say the equation passes. to do this you take away the y intercept of the equation that we have and replace x with -2 and the subtract 4 to the side with the y.. now we have 4-y=-6 Then we solve for y and get y=10 which is the y intercept of the equation that is parallel to y=3x=1 and it passes (-2,4) Therefore the answer is y=3x+10

Step-by-step explanation:

Given

k = - 2

Now evaluating

√- 72 * - 2

= √ 144

= √ ( 12)²

= 12

Hope it will help you :)❤

The evaluated solution of √-72k for k = -2 is 12.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Given expression as :

⇒ √-72k

And k= -2

To Evaluate the expression

Now Substitute the value of k= -2 in the expression

⇒ √- 72 × - 2

⇒ √ 144    [√ 144 = 12]

⇒  12

Hence, the evaluated solution of √-72k for k = -2 is 12.

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Answer:

The equation of line in the form of Ax + By = C is: [tex]\mathbf{4x+y=-17}[/tex]

Step-by-step explanation:

We need to find the equation of line, with the given slope passes through the given point.

Slope m = -4

Point: (-2,-9)

We need to find slope and y-intercept of the line.

The slope of line is given m = -4

Now, we need to find the y-intercept

Using the point (-2,-9) and slope m = -4, we can find y-intercept

The formula used will be: [tex]y=mx-b[/tex]

Putting values of: y= -9, x =-2 and m = -4

[tex]y=mx+b\\-9=-4(-2)+b\\-9=8+b\\b=-9-8\\b=-17[/tex]

So, y-intercept b = -17

Now, the equation of required line having slope m = -4 and y-intercept b = -17 is:

[tex]y=mx+b\\y=-4x-17[/tex]

Writing equation in required form i.e. of Ax + By = C

[tex]y=-4x-17\\4x+y=-17[/tex]

So, the equation of line in the form of Ax + By = C is: [tex]\mathbf{4x+y=-17}[/tex]

Answer:

[tex]x=3[/tex]

[tex]y=1[/tex]

Step-by-step explanation:

We can subtract the first equation from the second to find the value of [tex]y[/tex], although we can also do this vice versa.

[tex]x-x=2y+1-y-2[/tex]

[tex]y-1=0[/tex]

[tex]y=1[/tex]

Now, we can use substitution to solve for [tex]x[/tex]:

[tex]x = y+2[/tex] (pick any equation for substitution)

[tex]x=1+2[/tex]

[tex]x=3[/tex]

Hope this helps :)

Step-by-step explanation:

given

3y + 6x = - 3

writing in slope intercept form y = mx + c

3y = - 3 - 6x

y = -3/3 - 6x /3

y = - 1 - 2x

y = -2x - 1

m = - 2

c = - 1

Hope it will help :)

Answer:

The percentage increase is 78.72%

Step-by-step explanation:

Here, we want to calculate a percentage increase

We proceed to use the mathematical relation as follows;

Percentage increase = (new value - old value)/old value * 100%

new value is value in 2011 = 252

old value is value in 2006 = 141

Substituting these values, we have;

(252-141)/141 * 100%

= 111/141 * 100%

= 78.72%

Answer:

9-8

Step-by-step explanation:

60 divided by 7 is 8.5

Answer:

4ab²

Step-by-step explanation:

4 a¹ b₂

Answer:

x+y+3 or 1x+1y+3

Step-by-step explanation:

3/4x+1/4x+1y+3

3/4x+1/4x=1x

1x+1y+3

You can't do x+y+3 so it stays x+y+3. Hope this helps.

9514 1404 393

Answer:

  Triangle Angle Sum

Step-by-step explanation:

Corresponding angles applies to parallel lines crossed by a transversal, or to angles in similar figure. The term has no meaning in this geometry.

Supplementary angles refers to a pair of angles that have a sum of 180°. Usually these are seen in quadrilaterals and figures involving parallel lines. The term has no meaning in this geometry.

The Pythagorean theorem relates side lengths in a right triangle. It has no utility in this geometry. Here we're concerned with angles, not sides.

__

The theorem useful for finding x is the Triangle Angle Sum theorem, which tells you the sum of angles in a triangle is 180°. That theorem lets you write a linear equation involving x, so that x can be found.

_____

  (3x -2) +(x +8) +(2x +3) = 180

  6x +9 = 180

  x = 171/6 = 28.5°

The three angles are 36.5°, 60°, 83.5°.

9 and -9

Step-by-step explanation:

The distance between both are 18, and they are opposites because one is positive, and the other is negative.

Answer:

48 Not sure

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Answer:

Hello,

the above question requires more information for anyone to be able to answer.

In the abscence of that, the total weight of the two heaviest peaches can be obtained by simply summing the individual weights of the two heaviest peaches.

If for instance there are 13 peaches and the two heaviest peaches weight 5Kg and 5.5 kg respectively, the weight of the two would translate to the following:

Step-by-step explanation:

5 +5.5= 10.5Kg

Cheers!

Answer:

It's 6.

Step-by-step explanation:

this was so confusing

It should be C can u help me with one i posted????

Step-by-step explanation:

9 can be written as a product of 3 and 3

9=3×3 ( because 3 is a prime no. as it has two different factors ,i.e. 3 and 1)

Step-by-step explanation:

so we start using repeated division to find 9 as a product of primes.

First divide 9 by the smallest prime factor it has.

9/3=3

Next, divide the result (3) by the smallest prime factor it has.

3/3=1

Once you reach 1, which we just did, you have finished.

Now collect all the results you have.

3x3

There you go, 9=3x3, as a product of primes.

or 3^2, if you want to write it in index notation.

This works for any integer.

Answer:

ok so the graph tells you 24 seconds by 4 ounces

Step-by-step explanation:

The point where both lines meet is the point where they are both equal.

The point where both lines meet is (24,4)

Since the x-axis represents seconds the x-coordinate will represent the number of seconds it takes for them to be equal which is 24.

Since the y-axis represents ounces the y-coordinate will represent the number of ounces they have when they are equal which is 4.

Answer:

2

Step-by-step explanation:

Answer:

They had 98 marbles

Answer:Its B or in other words its 80

Step-by-step explanation:

please brainliest

Answer:

2m+3/5=3

2m+3= 5 x 3

2m+3=15

2m=15-3

2m=12

m=12/2

m=6

The value of the expression (x³+16) ÷4 is equal to 12. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (x³+16) ÷4. The value of x is equal to 2. The expression will be solved as below,

E = (x³+16) / 4

E = 2³ + 16 / 4

E = 8 + 16 / 4

E = 8 + 4

E = 12

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Answer:

7(7x + 2)

Step-by-step explanation:

when distributed it will be 49x + 14

Answer:

[tex]7.7[/tex] km

Step-by-step explanation:

The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of [tex]6.6[/tex] km and [tex]3.9[/tex] km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, [tex]a^{2}+b^{2} =c^{2}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the lengths of the triangle's legs and [tex]c[/tex] is the length of the triangle's hypotenuse. In this case, we know what [tex]a[/tex] and [tex]b[/tex] are, and we need to solve for c, so after substituting the given values of [tex]a[/tex] and [tex]b[/tex] into [tex]a^{2}+b^{2} =c^{2}[/tex] to solve for c, we get:

[tex]a^{2}+b^{2} =c^{2}[/tex]

[tex]6.6^{2} +3.9^{2} =c^{2}[/tex] (Substitute [tex]a=6.6[/tex] and [tex]b=3.9[/tex] into the equation)

[tex]43.56+15.21=c^{2}[/tex] (Evaluate the squares on the LHS)

[tex]58.77=c^{2}[/tex] (Simplify the LHS)

[tex]c^{2}=58.77[/tex] (Symmetric Property of Equality)

[tex]\sqrt{c^{2} } =\sqrt{58.77}[/tex] (Take the square root of both sides of the equation)

[tex]c=7.7,c=-7.7[/tex] (Simplify)

[tex]c=-7.7[/tex] is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately [tex]7.7[/tex] km away from its base. Hope this helps!

Answer:

5\sqrt(5) or about 11.2

Step-by-step explanation:

The change in x is 5, the change is y is 10.

Using the pythagorean theorem, the distance is

\sqrt(25+100) = \sqrt(125) = 5\sqrt(5) or 11.2

Answer:

v=0.15 miles per second

Step-by-step explanation:

The distance it travels in miles, d, is related to the time in seconds, t, by the equation d=0.15t.

We need to find how fast is it flying.

Differentiate the given equation wrt t.

[tex]\dfrac{dd}{dt}=\dfrac{d}{dt}(0.15t)\\\\\because \dfrac{dd}{dt}=\text{velocity(v)}\\\\v=0.15[/tex]

It means the velocity of the airplane is 0.15 miles per second.

Answer:

a²±b²=c²

Step-by-step explanation:

Pythagorean Theorem: hypotenuse= leg×leg

Answer:

a²+b²=c²

Step-by-step explanation:

Pythagorean Theorem: hypotenuse= leg^2×leg^2

Answer:

That's what pops up, on a scratch

Answer:

-4

Step-by-step explanation:

[tex]z = 6 - 11 \\ = - 4[/tex]