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Dennis_Churaev [7]
2 years ago
11

Are the following figures similar?

Mathematics
1 answer:
iogann1982 [59]2 years ago
7 0

Answer:

well the shape is same but the measurements are different

Step-by-step explanation:

You might be interested in
If y varies inversely as x and y=-2 when x=25, find x when y=-40.
bazaltina [42]
X=25 and y=-2 so then y=-40 and x=? you will have to divide and and multiple and the answer will be x=500
6 0
3 years ago
For each system of equations, drag the true statement about its solution set to the box under the system?
natta225 [31]

Answer:

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

Step-by-step explanation:

* Lets explain how to solve the problem

- The system of equation has zero number of solution if the coefficients

 of x and y are the same and the numerical terms are different

- The system of equation has infinity many solutions if the

   coefficients of x and y are the same and the numerical terms

   are the same

- The system of equation has one solution if at least one of the

  coefficient of x and y are different

* Lets solve the problem

∵ y = 4x + 2 ⇒ (1)

∵ y = 2(2x - 1) ⇒ (2)

- Lets simplify equation (2) by multiplying the bracket by 2

∴ y = 4x - 2

- The two equations have same coefficient of y and x and different

  numerical terms

∴ They have zero equation

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

∵ y = 3x - 4 ⇒ (1)

∵ y = 2x + 2 ⇒ (2)

- The coefficients of x and y are different, then there is one solution

- Equate equations (1) and (2)

∴ 3x - 4 = 2x + 2

- Subtract 2x from both sides

∴ x - 4 = 2

- Add 4 to both sides

∴ x = 6

- Substitute the value of x in equation (1) or (2) to find y

∴ y = 2(6) + 2

∴ y = 12 + 2 = 14

∴ y = 14

∴ The solution is (6 , 14)

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

3 0
3 years ago
Write a slope intercept equation for a line that passes through (-2,5) and (2,-7)
wlad13 [49]

Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

First, find slope using the given coordinates. Formula for slope: y₁ - y₂ / x₁ - x₂.

Our coordinates are (-2, 5) and (2, -7). Plug them in and simplify.

5 - (-7) / -2 - 2

5 + 7 / -4

12/-4

-3

The slope is -3. The equation becomes y = -3x + b.

To find b, plug an (x, y) coordinate on the line in for x and y in the equation and solve. I'll use (-2, 5)

y = -3x + b

5 = -3(-2) + b

5 = 6 + b

-1 = b

The y-intercept is (0, -1). The equation can now be completed!

<h3>Answer:</h3>

y = -3x - 1

7 0
3 years ago
The function f(x) is defined as, <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%203%20%2B%20%5Cfrac%7B1%7D%7B2x-5%7D" id="TexF
Alex73 [517]

Answer:

a) look at the figure

b) i) x = 2.5 , y = 3

   ii) x-intercept is 2.333

   iii) y-intercept is 2.8

Step-by-step explanation:

a) The points of the graph f(x) = 3+1/2x - 5 are:

f(-5) = 2.9333

f(-4) = 2.923

f(-3) = 2.909

f(-2) = 2.888

f(-1) = 2.857

f(0) = 2.8

f(1) = 2.666

f(2) = 2

f(3) = 4

f(4) = 3.333

f(5) = 3.2

b)

i) to find the vertical asymptotic put the denominator = 0

  2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 5 ÷ 2 = 2.5

∴ The equation of the vertical asymptotic is x = 2.5

To find the horizontal asymptotic look at the degree of the numerator and denominator

∵ they are equal f(x) = (6x -14)/(2x - 5) ⇒ 6x ÷ 2x = 3

∴ The equation of the horizontal asymptotic is y = 3

ii) the value of x-intercept means put f(x) = 0

∴3 + 1/2x - 5 = 0 ⇒ 1/2x - 5 = -3 ⇒ -6x + 15 = 1 ⇒ 6x = 14

  x = 14/6 = 2.333

iii) The value of y-intercept means x = 0

∴ f(x) = 3 + 1/0 - 5 = 3 + (-0.2) = 2.8

4 0
2 years ago
3. A prescription for an ointment has 3.5 mL of liquid menthol in a total of 220 mL. Calculate the percentage (v/v) of liquid me
Marina CMI [18]

Answer:

The percentage (V/V) of liquid menthol in the ointment is 1.59%.    

Step-by-step explanation:

Given : A prescription for an ointment has 3.5 mL of liquid menthol in a total of 220 mL.

To find : Calculate the percentage (V/V) of liquid menthol in the ointment ?

Solution :

Volume of liquid menthol is V_m= 3.5\ mL

Total volume of ointment is V_t= 220\ mL

The V/V percentage is given by,

\frac{V}{V}\%=\frac{V_m}{V_t}\times 100

\frac{V}{V}\%=\frac{3.5}{220}\times 100

\frac{V}{V}\%=0.0159\times 100

\frac{V}{V}\%=1.59\%

Therefore, the percentage (V/V) of liquid menthol in the ointment is 1.59%.

8 0
3 years ago
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