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Answer:

[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{x - 6}{4*x}[/tex]

Step-by-step explanation:

We have the expression:

[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x}[/tex]

The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x

We will get:

[tex](\frac{2}{2} )\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x}[/tex]

Now we can directly add the terms to get:

[tex]\frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4 - 3*x - 2}{4*x} = \frac{x - 6}{4*x}[/tex]

We can't simplify this anymore

log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )

log3 ( x )( x - 2 ) = log3( x + 10 )

log3 ( x^2 - 2x ) = log3( x + 10 )

x^2 - 2x = x + 10

x^2 - 3x - 10 = 0

( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2

Answer:

A)

[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]

B)

[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]

Step-by-step explanation:

x and y are differentiable functions of t, and we are given the equation:

[tex]xy=6[/tex]

First, let's differentiate both sides of the equation with respect to t. So:

[tex]\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6][/tex]

By the Product Rule and rewriting:

[tex]\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0[/tex]

Therefore:

[tex]\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0[/tex]

A)

We want to find dy/dt when x = 4 and dx/dt = 11.

Using our original equation, find y when x = 4:

[tex]\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}[/tex]

Therefore:

[tex]\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0[/tex]

Solve for dy/dt:

[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]

B)

We want to find dx/dt when x = 1 and dy/dt = -9.

Again, using our original equation, find y when x = 1:

[tex](1)y=6\Rightarrow y=6[/tex]

Therefore:

[tex]\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0[/tex]

Solve for dx/dt:

[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]

Answer:

Hi! The answer to your question is H. [tex]4\sqrt{5}[/tex]

Step-by-step explanation:

[tex]Y1 = 6[/tex]

[tex]Y2 = -2[/tex]

[tex]X1 = 4[/tex]

[tex]X2 = 8[/tex]

[tex]AB = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

[tex]AB = \sqrt{(8-4)^2+(-2-6)^2}[/tex]

[tex]AB =\sqrt{(4)^2+(-8)^2}[/tex]

[tex]AB = \sqrt{16+64}[/tex]

[tex]AB = 4\sqrt{5}[/tex]

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Given:

The actual length of side y is 22cm.

To find:

The length of side x by using the scale drawing.

Solution:

We know that the corresponding sides of original figure and scale drawing are proportional.

[tex]\dfrac{x}{1.8}=\dfrac{y}{1.4}[/tex]

[tex]\dfrac{x}{1.8}=\dfrac{22}{1.4}[/tex]

[tex]x=\dfrac{22}{1.4}\times 1.8[/tex]

[tex]x\approx 28.286[/tex]

Therefore, the length of side x is about 28.286 cm.

Answer:

Suppose that we have two similar figures.

Then if a given side of one of the figures has a measure M, the correspondent side in the other figure has a measure M' = k*M

Where k is the scale factor.

Then if the perimeter of the first figure is P, the perimeter of the other figure will be P' = k*P

And if the area of the first figure is A, then the area of the other figure will be:

A' = k^2*A

Then the quotient between the perimeters is:

P'/P = k

And the ratio between the areas is

A'/A = k^2

So what we need to do, is find the value k.

In the image, we can see that the base of the larger figure is 30 yd, and the base of the smaller figure is 12 yd.

If we define the smaller figure as the original one, then we will have:

M = 12 yd

M' = 30 yd

M' = 30yd = k*12yd = k*M

Solving for k we get:

k = 30yd/12yd = 2.5

Then the ratio between the perimeters is:

P'/P = k = 2.5

And the ratio of the area of the larger figure (A') to the smaller figure (A) is:

A'/A = k^2 = (2.5)^2 = 6.25

Answer:

C is the correct answer

Step-by-step explanation:

Answer:

[tex]Area = 16[/tex]

Step-by-step explanation:

Given

[tex]A = (2,4)[/tex]

[tex]B = (4,0)[/tex]

[tex]D = (-4,0)[/tex]

Required

The area of the plot

The given coordinates show a triangle; and the area is calculated as:

[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|[/tex]

[tex]Area = \frac{1}{2}|2*0 - 4*4 + 4*0 - -4*0 + -4*4 - 2*0|[/tex]

[tex]Area = \frac{1}{2}|-16 + 0 -16|[/tex]

[tex]Area = \frac{1}{2}|-32|[/tex]

[tex]Area = \frac{1}{2}*32[/tex]

[tex]Area = 16[/tex]

Answer:

a B and c because there the shape of the big triangles

Answer:

B)1,200

Step-by-step explanation:

If you add up the close at 10pm numbers you get 60. Since the total number of people surveyed was 200 and the question asks if there were 4,000 you would divide 4,000 by 200 and you would get 20. Then you should multiply 60 by 20.

Answer:

discriminatory laws influence the way we think about others in our

society

Step-by-step explanation:

Answer:

it 5

Step-by-step explanation:

i got i correct

9514 1404 393

Answer:

  $7.00 per week

Step-by-step explanation:

The balance at the end of week 1 is $39-32 = $7.00 higher than at the start. The rate of change is $7.00 per week.

Answer:

Step-by-step explanation:

Answer:

60%

Convert fraction (ratio) 15 / 25 Answer: 60%

Answer: x=120°

Step-by-step explanation:

What you are looking for is the value of the exterior angle of the regular polygon.

For a n-sided regular polygon, the external angle is given by the formula 360°/n.

Because the shape in this example is a regular triangle, the value of n is 3.

360°/n

=360°/3

=120°

Therefore, x=120°

Answer:

The answer would be C)5

Step-by-step explanation:

The unknown triangle is half of the size of the original triangle, The right side measurement basically hints to the actual answer.

Answer:

17.4cm

Step-by-step explanation

17) In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120

To get the length of AB, we will use the cosine rule

AB² = BC² + AC² - 2(BC)(AC) cos <ABC

AB² = 8² + 12² - 2(8)(12) cos 120

AB² = 64 + 144 - 192cos12

AB² = 208 - (-96)

AB² = 208 +96

AB² = 208 - (-96)

AB² = 304

AB² = 17.4cm

Hence the length of AB is 17.4cm

Answer:

Let J = height of Little Jim. Then Big Jim's height is 2J.

when big jim stands on a bench that is 15 inches high, the top of his head is 53 inches above the top of little jims head.

The above given sentence means 15+ 2J= J+53.

15+2J = J+53

2J-J = 53-15

Answer: subtraction

Step-by-step explanation:

i did the assignment.

Answer:

135

Step-by-step explanation:

So, our first term is 459.

Lets find what our change in terms is. To do this, lets subtract the frist term by the second:

459-450

This will get you 9.

Now that we know our change per term, lets find our 37th term.

All we need to do, is take our first term, and subtract it by our change in terms times the amount of terms.(Note that we already know are 1st term, so we are multiplying the change in terms by 36, not 37. )

So this is what we can use to solve for this:

459-(9x37)

This equals

135.

Hope this helps!

Step-by-step explanation:

first term = a = 459

common difference = d = 450 - 459 = -9

nth term = an

n = -9

an = a + (n-1)d

= 459 +(37-1)-9

= 459 + (36)-9

= 459 -324

= 135

37 th term = 135

plz mark my answer as brainlist if you find it useful for you. hope this will be helpful to you .

9514 1404 393

Answer:

  7u -63

Step-by-step explanation:

The distributive property says you can eliminate parentheses by applying the outside factor to each term inside parentheses.

  (u -9)7 = (u)(7) +(-9)(7) = 7u -63

Answer:

(u -9)7 = (u)(7) +(-9)(7) = 7u -63

1. x+12

2. x-8

3. 3*x

4. x^(2)+5

5. (x/2)+7

6. 4*(x+6)

7. (1/2)*x

8. 2x+8

9. x^(2)+3

10. (x/3)+12

Additional activity

1. 2-50

2.20/4=5

3.100-50=50

4.three times two then add to four equals ten

5. the diffrence of eight and four

Answer:

5:15 simplified is 1:3

Hope this helps!

Answer:

5:15 simplified (or divided by 5) is 1:3

Step-by-step explanation:

Answer:

6 * 2/3 = 12/3 = 4

Step-by-step explanation.

you can think about it like this:  6 * 1/3 * 2

1/3 of 6 is 2 because 2 * 3 is 6

2 * 2 is 4, therefore the correct answer is 4

remember doing 6 * 2/3 is the same as doing 6/1 * 2/3 if that helps

Answer:

33 square units

Step-by-step explanation:

Assuming that each line on this grid increases by a value of one, the area of the polygon can be determined by breaking it down into a large rectangle and two smaller triangles.

The area of a rectangle is simply [tex]A = bh[/tex], where b represents the base and h represents the height.

Counting the size of each side, we can determine that they are 6 units for the base and 4 units for the height.

Substituting in the values, we get:

[tex]A = (6)(4)\\A = 24[/tex]

The area of the rectangle is 24 square units

The area of a triangle is simply [tex]A = \frac{1}{2} bh[/tex].

The base of each triangle is 3, and the height of each triangle is also 3.

Substituting in the values, we get:

[tex]A = \frac{1}{2} (3)(3)\\A = \frac{1}{2} (9)\\A = 9 / 2\\A = 4.5[/tex]

The area of each triangle is 4.5 square units

To get the area of the polygon, we simply add up the area of the rectangle and both triangles

[tex]A = 24 + 4.5 + 4.5\\A = 24 + 9\\A = 33[/tex]

The total area of the polygon is 33 square units.

Answer:

See below & graph.

Step-by-step explanation:

Domain: All real numbers.

Range: y <= 7

Axis of symmetry: x = -b/2a = 1

Vertex: (1, 7), label it on the graph.

Answer:

[tex]y=\frac{1}{4} +x[/tex]

Step-by-step explanation:

use desmos graphing calculator