The lines of the equations are parallel, perpendicular, or neither. y = 2x + 3 y = 2x 1)parallel
2)perpendicular
3)neither

Answer:

0

Step-by-step explanation:

x² + 26 = 0 ( subtract 26 from both sides )

x² = - 26 ( take square root of both sides )

x = ± \(\sqrt{-26}\)

\(\sqrt{-26}\) ← has no real solutions

Answer:

0

Step-by-step explanation:

Look above goofy, have a good day!

Given :

A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj  .

To Find :

A. The vector position of the particle at any time t .

B. The acceleration of the particle at any time t .

Solution :

A )

Position of vector v is given by :

\(d=\int\limits {v} \, dt\\\\d=\int\limits {(2i-4tj)} \, dt \\\\d=(2t)i+\dfrac{4t^2}{2}j\\\\d=(2t)i+(2t^2)j\)

B )

Acceleration a is given by :

\(a=\dfrac{dv}{dt}\\\\a=\dfrac{2i-4tj}{dt}\\\\a=\dfrac{2i}{dt}-\dfrac{4tj}{dt}\\\\a=0-4j\\\\a=-4j\)

Hence , this is the required solution .

Answer:

I got an F- on math soo i cannot help i am sorry

Step-by-step explanation:

.-.

Answer:

x = 4.7

Step-by-step explanation:

AB + BC = AC

5x+13+24 = 16x-15

5x+37 = 16x-15

52 = 11x

x = 4.7272727 = 4.7

The value of x in the equation that is given as 2/3x + 4/5x = 6 will be 4.

Based on the information given, one should note that an equation has to do with the statement in a question which depicts the variables given. In this case, one should note in an equation, one will need to consider two or more components are to be able to illustrate the scenario.

In this case, it is important to note that an equation simply depicts the mathematical statement which can be made up of two expressions which are simply connected by an equal sign.

The equation is explained thus:

2/3x + 4/5x = 6

10/15x + 12/15x = 6

22/15x = 6

1.467x = 6

x = 6 / 1.467

x = 4

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Solve the equation

2/3x + 4/5x = 6

Answer:

Well, according to the question, option D is the main answer

Step-by-step explanation:

2997

81

×

37

=2997

it just a simple calculation just multiply the numbers

(x + 2)(3x + 4) on simplification we get 3x² + 10x + 8.

To ascertain whether a graph accurately depicts a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and touches it only once at any given time. If there are multiple points where the vertical line touches the graph, the graph is not a function.

Given,

(x + 2)(3x + 4)

x (3x + 4) + 2(3x +4)

3x² + 4x + 6x + 8

3x² + 10x + 8.

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Answer:

Step-by-step explanation:

Infinite solution

Answer: maybe a

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

On a number cube from 1 to 6, there are only two numbers available that are equal to or greater than 5: 5 and 6. Out of the six possible options, only two options could meet these conditions. Therefore, the probability is 2/6. However, this can be further simplified as both 2 and 6 can be divided by two, which would equal 1/3.

Let be "x" the number that is represented with 100%.

According to the information given in the exercise, 140% of the number "x" is:

Then, knowing that information, you can set up the following proportion:

Finally, you can solve for "x". You can do this by multiplying both sides of the equation by 100:

Therefore, the answer is:

Given,

\(h(x) = {6x}^{2} + {4x}^{4} + 7x\)

\(g( x) = {6x}^{2} - 4x + {3x}^{4} \)

Therefore,

\(h(x) + g(x)\)

\(( {6x}^{2} + {4x}^{4} + 7x) + ({6x}^{2} - 4x + {3x}^{4})\)

\( {6x}^{2} + {4x}^{4} + 7x + {6x}^{2} - 4x + {3x}^{4}\)

\((4 {x}^{4} + 3 {x}^{4} ) + ( {6x}^{2} + {6x}^{2} ) + (7x - 4x)\)

\( {7x}^{4} + {12x}^{2} + 3x\)

Answer:

\(-8\sqrt{6}\)

Step-by-step explanation:

\(4i\sqrt{-24} \\\\=4i\sqrt{24} \sqrt{-1} \\\\=4i\sqrt{2^{3}*3 } \sqrt{-1} \\\\=4i(2)\sqrt{6} (i)\\\\=4*2i^{2} \sqrt{6} \\\\=8(-1)\sqrt{6} \\\\=-8\sqrt{6}\)

The simplification of the given function as complex number would be -8√6 .

Simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

We have been given a function as complex number that is  4i√-24

We can also write it as;

4i√24 √-1

=  4i√2³ 3 √-1

=  4i (2) √6 (i)

Then simplify;

= 4 2i² √6

= 8  (-1)√6

= -8 √6

Therefore, the simplification of the given function as complex number would be -8√6 .

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Answer:

7.321852048×10³⁰

Step-by-step explanation:

Answer:

positive and odd

Step-by-step explanation:

If a is a negative odd number, then a² can't be negative, because a number squared is always positive.

I'll illustrate this with an example.

Let's choose -7 as an example. Instead of a.

-7² = 49

So we see that the result is positive & odd.

So the words that describe a^2 are positive and odd.

To solve for the length of JL in the right triangle, we will apply

SOHCAHTOA

For this particular question, we will use CAH

You need to set aside each month for an emergency fund and the retirement amount is $970.

An emergency fund is separate savings account to cater to the following unplanned situations:

It is prudent to have up to 6 months' salary in an emergency fund.

Monthly salary = $2,650

Monthly expenses = $1,465

Emergency fund = 30% of expenses

= $440 ($1,465 x 30%)

Retirement savings = 20% of the salary

= $530 ($2,650 x 20%)

Total amount to set aside each month = $970 ($440 + $530)

Thus, for your retirement and emergency fund, you need to set aside $970 monthly.

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1. The names of the angles are: BGF & EHC - alternate interior; FHC & EGA - same-side exterior angles; FHC & EGB - alternate exterior

2. The equation is: 4x + 28 + 2x + 32 = 180; 3) x = 20; 4) m<BGF = 108°; m<EHD = 72°; m<FHD = 108°; m<EGB = 72°.

1. Angles BGF and EHC are alternate interior angles because they are on the opposite sides of the transversal.

Angles FHC and EGA are same-side exterior angles because they are on the same side of the transversal.

Angles FHC and EGB are alternate exterior angles because they are on the different sides of the transversal.

2. m<BGF + m<EHC = 180 [same-side interior angle are supplementary]

Substitute to get the equation:

4x + 28 + 2x + 32 = 180

3. Solve for x:

6x + 60 = 180

6x = 180 - 60

6x = 120

x = 20

m<BGF = 4x + 28 = 4(20) + 28

m<BGF = 108°

m<EHD = 180 - 108 = 72°

m<FHD = m<BGF [corresponding angles]

m<FHD = 108°

m<EGB = m<EHD

m<EGB = 72°

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Answer:

$288

Step-by-step explanation:

what is 900% of 28?

x = 9 × 28

x = 288

Answer:

The 10-yard line on a football field

Step-by-step explanation:

A geometric line segment is a straight path of points(that is a line) that has two end points (that is a beginning and an end). A 10 yard line on a football field is a line segment because it has two endpoints which is at the beginning of the 10 yard and at the end of the 10 yard.

A scientist's line of vision as he looks into space with a telescope is not a line segment because it extends forever (has no end).

A line of 15 dancers on stage is not a line segment, A light shone into the darkness is not a line segment because it continues forever and also, the hands of a clock is also not a line segment.

Answer:

-5

Step-by-step explanation:

The number line is saying that the solution could be any number less than -2.

The value included in the solution set for the inequality graph on the number line is -5.

The number line represents an inequality graph.

Let's use the range of value on the graph as x.

Therefore, the inequality on the number line will read as follows:

x < -2

Hence,

x less than -2 includes -3, -4, -5, -6, -7, -8 ..

Therefore, the value included in the solution set for the inequality graph on the number line is -5.

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Answer:

5r = 7.50

Step-by-step explanation:

As, the cost of 1 ruler = r

So, r times 5 ruler will give u the cost of 5 rulers, which is 7.50

So, 5r = 7.50

The volume of the pyramid is 576 cubic inches.

To find the volume of a square base pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.

First, calculate the base area of the pyramid:

Base area = side²

= 12²

= 144 square inches

Now, substitute the values into the volume formula:

Volume = (1/3) x 144 x 12.5

Volume = 576 cubic inches

Therefore, the volume of the pyramid is 576 cubic inches.

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Answer

x = 3

Explanation

Given inequality:

Multiply both sides of the inequality by 3 in order to clear fraction:

Combine the like terms

Divide both sides by -5. Note the < will change to >

This implies the values of x must be greater than 1, i.e. in terms of whole number, x = 2, x = 3, x = 4, ......... could be any of the solutions.

Hence,

Answer:

A) \(\displaystyle y=\left \{ {{x^3-4,\,x\leq 1} \atop {x^2-3,\,x > 1}} \right.\)

Step-by-step explanation:

The first "piece" of the piecewise function, \(y=x^3-4\), contains \(x=1\) because of the closed dot there.

The second "piece" of the piecewise function, \(y=x^2-3\), doesn't contain \(x=1\) because of the open dot there.

What occurs between the two pieces is called a jump discontinuity.

Therefore, A is the correct answer.

Answer:

2 and -8

Step-by-step explanation:

\(x^2+6x-6=10 \\\\x^2+6x-16=0 \\\\(x+8)(x-2)=0 \\\\x=2, -8\)

Hope this helps!

Answer: he took 60 grapes to school

Step-by-step explanation:

you just have to think about this. if you have given a friend 15 grapes and you are left with 45. So, for you to have 45 left you must have left home with 60 grapes.

Mathematically, lets represent how many he brought to school with x

15+45=x

X= 60

The value of x, given that when it divides a number, there is a quotient and a remainder, is 400

To find the value of divisor, we can use a variant of the division algorithm formula :

Divisor = ( Dividend - Remainder ) / Quotient

x is the divisor

Dividend = 19, 432

Remainder = 232

Quotient = 48

This means that the value of x is:

x = ( 19, 432 - 232 ) / 48

x = 19, 200 / 48

x = 400

In conclusion, x is 400.

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the longest side of P1=7

the longest side of P2=21

the perimeter of the larger triangle is 51