Drag and drop the equation to correctly complete the sentence.
The equation of the line that passes through the points (2, -7) and (5, -1) is
????

Answer:

They are not equal.

Step-by-step explanation:

Hi there!

[tex]3^2+3^3[/tex] is not equal to [tex]3^5[/tex]. When two powers with the same base are added together, we cannot add the exponents to get the answer.

We can only add exponents to get the answer when two power with the same base are multiplied.

[tex]3^2+3^3\\= 9+27\\=36[/tex]

[tex]3^5\\=243[/tex]

They are not equal.

I hope this helps!

Answer:

[tex]11 + 22q + 22 - 5q \\ = 33 + 17q[/tex]

9+10=21 yay

bababooey

14. 37/50

16. 13/40

I just converted each fraction into a decimal.

18/25 = 0.72

3/4 = 0.25

11/35 is approximately 0.314

5/14 is approximately 0.357

Then choose a decimal in between and converted it back

Answer:

1.74 X 10^-6

Step-by-step explanation:

Hope It helps

Answer:

[tex]y = e^{3x}.cos4x.sin2x[/tex]

[tex]=> y' =- 3e^{3x}.4sin4x.2cos2x=-24.e^{3x}.sin4x.cos2x[/tex]

[tex]dy=y'.dx => dy = -24e^{3x}.sin4x.cos2x.dx[/tex]

Step-by-step explanation:

The function [tex]e^3^x[/tex].cos4x.sin2x on differentiating gives the solution as 2[tex]e^3^x[/tex]cos2x.cos4x - 4[tex]e^3^x[/tex]sin2x.sin4x + 3[tex]e^3^x[/tex]cos4x.sin2x.

Product rule in differentiation states that, for two functions f(x) and g(x),

[tex]\frac{d}{dx}[/tex] [f(x).g(x)] = f(x) . [tex]\frac{d}{dx}[/tex][g(x)] + g(x) . [tex]\frac{d}{dx}[/tex][f(x)]

The question is to differentiate y = [tex]e^3^x[/tex].cos4x.sin2x

We have three functions here.

Let u = [tex]e^3^x[/tex] and v = cos4x.sin2x

[tex]\frac{d}{dx}[/tex] [u . v] = u [tex]\frac{d}{dx}[/tex][v] + v [tex]\frac{d}{dx}[/tex][u]

             = [tex]e^3^x[/tex] [tex]\frac{d}{dx}[/tex] [cos4x.sin2x] + cos4x.sin2x [tex]\frac{d}{dx}[/tex] [[tex]e^3^x[/tex] ]

             = [tex]e^3^x[/tex] [tex]\frac{d}{dx}[/tex] [cos4x.sin2x] + cos4x.sin2x (3[tex]e^3^x[/tex])

[tex]\frac{d}{dx}[/tex] [u . v] =  [tex]e^3^x[/tex] [tex]\frac{d}{dx}[/tex] [cos4x.sin2x] + 3[tex]e^3^x[/tex]cos4x.sin2x

Let the above equation be equation E.

Again apply the product rule for [tex]\frac{d}{dx}[/tex] [cos4x.sin2x].

Let u' = cos4x and v' = sin2x

[tex]\frac{d}{dx}[/tex] [u'. v'] = u' [tex]\frac{d}{dx}[/tex][v'] + v' [tex]\frac{d}{dx}[/tex][u']

            = cos4x [tex]\frac{d}{dx}[/tex][sin2x] + sin2x [tex]\frac{d}{dx}[/tex][cos4x]

            = cos4x [2cos2x] + sin2x [-4sin4x]

            = 2cos2x.cos4x - 4sin2x.sin4x

Substituting this is equation E, we get,

[tex]\frac{d}{dx}[/tex] [u . v] =  [tex]e^3^x[/tex] [2cos2x.cos4x - 4sin2x.sin4x] + 3[tex]e^3^x[/tex]cos4x.sin2x

             =  2[tex]e^3^x[/tex]cos2x.cos4x - 4[tex]e^3^x[/tex]sin2x.sin4x + 3[tex]e^3^x[/tex]cos4x.sin2x

Hence the function [tex]e^3^x[/tex].cos4x.sin2x on differentiating gives 2[tex]e^3^x[/tex]cos2x.cos4x - 4[tex]e^3^x[/tex]sin2x.sin4x + 3[tex]e^3^x[/tex]cos4x.sin2x.

To learn more about Product Rule, click :

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the area is 160 cm^2

[tex]\huge\rm\purple{\underline{Line:-}}[/tex]

➜ A line is a figure in geometry which has only length with no breadth in a two dimensional plane , and extended infinitely in opposite directions .

➜ A line may be of any length and breadth . An infinite number of combination of long, short , thick or thin lines can Accord to their application unify , divide , balance , or unbalance a pictorial area . This emotion dynamic is set up by lines measures .

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

[tex]\large\sf\orange{\underline{Characteristics\:of\:line:}}[/tex]

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

Answer:

x = 70

Step-by-step explanation:

1. First, we need to know that the angle with 45 degrees and the angle with (2x-5) degrees are same-side interior angles, meaning they add up to 180 degrees. The equation of this can be written as so: [tex]2x-5+45= 180[/tex]

2. (Solving)

Step 1: Combine like terms.

Step 2: Subtract 40 from both sides.

Step 3: Divide both sides by 2.

Step 4: Check if solution is correct.

Therefore, x = 70.

Answer:

For this case we have the following functions transformation:

Vertical expansions:

To graph y = a * f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

f1 (x) = (3x) ^ 2

Horizontal translations

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right.

f2 (x) = (3x-6) ^ 2

Vertical translations

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

g (x) = (3x-6) ^ 2 + 3

Answer:

expanded horizontally by a factor of 3, horizontal shift rith 6, vertical shift up 3

Step-by-step explanation:

Answer:

For this case we have the following functions transformation:

Vertical expansions:

To graph y = a * f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

f1 (x) = (3x) ^ 2

Horizontal translations

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right.

f2 (x) = (3x-6) ^ 2

Vertical translations

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

g (x) = (3x-6) ^ 2 + 3

Answer:

expanded horizontally by a factor of 3, horizontal shift rith 6, vertical shift up 3

Answer:

Equally likely

Step-by-step explanation:

Hope this is right!

Step-by-step explanation:

a fence represents the circumference, the perimeter of the lot or yard.

remember, a rectangle has 2 parallel sides called the length, and 2 parallel sides called the width (altogether 4 sides).

therefore

perimeter = 2×length + 2×width

or with short variables

p = 2×l + 2×w

so, now we have 50 ft of fence available for the perimeter. and the length l = 13 ft.

since we have 2 lengths in the perimeter, these 13 ft are twice (2×13 = 26 ft) in the perimeter.

now, how much fence do we have left for the width ?

well, 50 - 26 = 24 ft

and again, this is the size of 2 sides (2×width) :

p = 2×l + 2×w

50 = 2×13 + 2×w = 26 + 2×w

2×w = 24

w = 12 ft

so, the width of the yard must not be bigger than 12 ft.

Answer:

32 square units

Step-by-step explanation:

You can split this shape into four different shapes:

2 unit by 2 unit triangle

2 unit by 2 unit square

2 unit by 6 unit triangle

To find the length of the big triangle, add the lengths of the small triangle,the square,and the bigger leg of the other triangle:

2 + 2 + 6 = 10

10 unit by 4 unit triangle

Then solve all these areas:

( 2 x 2 ) / 2 = 4 / 2 = 2

2 x 2 = 4

( 2 x 6 ) / 2 = 12 / 2 = 6

( 10 x 4 ) / 2 = 40 / 2 = 20

Then add all these areas together to get the total area of the composite shape:

2 + 4 + 6 + 20 = 32

Answer:

2 3/4

Step-by-step explanation:

You need to find the greatest common factor of 4 and 2 then you multiply the 2 by 2 to get a 4 and multiply the 1, then you add those together to get 2 3/4.

Answer:

use desmos to graph it

.....

Step-by-step explanation:

we need to find the slope of each line.

the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

parallel lines have the same slope.

for a perpendicular line x and y in the slope ratio are put upside down, and the sign is flipped (+ to - and vice versa).

a.

2x - 8y = -24

2x + 24 = 8y

y = 2/8 x + 24/8 = 1/4 x + 3

the slope is 1/4 (always the factor of x).

4x + y = -2

y = -4x - 2

the slope is -4 = -4/1.

this line is therefore perpendicular to the first line.

x - 4y = 4

x - 4 = 4y

y = 1/4 x - 4/4 = 1/4 x - 1

the slope is 1/4.

this line is therefore parallel to the first line.

b.

3x - 9y = 9

9y = 3x - 9

y = 3/9 x - 9/9 = 1/3 x - 1

the slope is 1/3

3y = x + 12

y = 1/3 x + 4

the slope is 1/3.

this line is therefore parallel to the first line.

2x - 6y = 12

6y = 2x - 12

y = 2/6 x - 12/6 = 1/3 x - 2

the slope is 1/3.

this line is therefore parallel to the first line.

Answer:the anwser is 4

Step-by-step explanation:

Formula= LCM×GCD of the numbers÷The Given number

Answer:

b answer

Step-by-step explanation:

hope helpful

if wrong sorry

Answer:

Its 50

Step-by-step explanation:

Answer:

answer in scientific notation.

PLZ answer quick, 30 points

Answer

Step-by-step explanation:

B=Bob, b=2-(1/2xL)

L= leroy

P<1000

Answer:

slope = -4

Step-by-step explanation:

3y = 9 - 12x

Rearrange the right-hand side:

3y = - 12x + 9

Next, Divide both sides by 3 to isolate y:

[tex]\frac{3y}{3} = \frac{-12x + 9}{3}[/tex]

y = -4x +3 this is the slope-intercept form where the slope, m = -4, and the y-intercept, b = 3.

Therefore, the slope = -4.

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Answer:

20 %

Step-by-step explanation:

5 divided by 20 equals x 100

Answer:

81

Step-by-step explanation:

the 5 cm deep cup is 625 which is 5^4

that means that the 3cm deep cup should be 81 which is 3^4