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Virty [35]
3 years ago
7

Answer this question please

Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0
Can I please see the graph and the options. I want to help but I can’t see the graph or the options.
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Given that ABC~LMN<br> What is the length of AC?
sleet_krkn [62]

Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

\frac{AB}{LM} = \frac{AC}{LN}

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

\frac{5}{10} = \frac{x + 5}{3x + 3}

Cross multiply

5(3x + 3) = 10(x + 5)

15x + 15 = 10x + 50 (distributive property)

Collect like terms

15x - 10x = -15 + 50

5x = 35

Divide both sides by 5

x = 7

✔️Find AC

AC = x + 5

Plug in the value of x

AC = 7 + 5

AC = 12

6 0
3 years ago
F(x) = x^2. What is g(x)
Alexeev081 [22]

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
  • If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
  • If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k  

f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

∴ f(x) is reflected about the x-axis

∴ Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

∴ - f(x) is translated 4 units down

∴ Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

∴ g(x) = - x² - 4

4 0
3 years ago
Help plz !!!!!!!!!!!!!!!!! These are so hard
OlgaM077 [116]

Answer:

m=\frac{4}{9}

Step-by-step explanation:

Using the slope formula:

m=\frac{1+7}{10+8}=\frac{8}{18}=\frac{4}{9}

6 0
3 years ago
Nicoli jokic plays for the Denver nuggets in one game, his field-goal total was 26 points made up of 2 point and 3 point baskets
mel-nik [20]

9514 1404 393

Answer:

  • 4 3-point baskets
  • 7 2-point baskets

Step-by-step explanation:

Let x represent the number of 2-point baskets Nicoli made. Then (x -3) is the number of 3-point baskets. The total number of points is ...

  2x +3(x -3) = 5x -9 = 26

  5x = 35 . . . . . . add 9

  x = 7 . . . . . . . divide by 5

  (x -3) = 4 . . . find the number of 3-point baskets

Jokic made 7 2-point baskets and 4 3-point baskets.

7 0
2 years ago
Heron’s formula: Area = square root 5(5-a)(5-b)(5-c) What is the area of triangle DFG? Round to the nearest whole square unit. 2
timurjin [86]
To do this problem, you will need to know the side lengths of the triangle. If you have those, just plug them in for a, b, and c and evaluate the square root.

Here is an example. If the sides are 3, 4, 5.
It would be:

A= \sqrt{6(6-3)(6-4)(6-5))}

The 6 is in the formula because it is the semi-perimeter (half).
3 0
3 years ago
Read 2 more answers
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