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Ne4ueva [31]
3 years ago
13

AD = 4, BC = 5, AB + DC = 12. Найти AB, DC, AC.

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0

Answer:

Im sorry but I ain't smart for this stuff

Step-by-step explanation:

lol

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The graph of y = x^2 -3 is translated in 4 units to the left of the graph to give the graph A
Vedmedyk [2.9K]

Answer:

a) b = 8, c = 13

b) The equation of graph B is y = -x² + 3

Step-by-step explanation:

* Let us talk about the transformation

  • If the function f(x) reflected across the x-axis, then the new  function g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then the new  function g(x) = f(-x)
  • If the function f(x) translated horizontally to the right  by h units, then the new function g(x) = f(x - h)
  • If the function f(x) translated horizontally to the left  by h units, then the new function g(x) = f(x + h)

In the given question

∵ y = x² - 3

∵ The graph is translated 4 units to the left

→ That means substitute x by x + 4 as 4th rule above

∴ y = (x + 4)² - 3

→ Solve the bracket to put it in the form of y = ax² + bx + c

∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)

∴ (x + 4)² = x² + 4x + 4x + 16

→ Add the like terms

∴ (x + 4)² = x² + 8x + 16

→ Substitute it in the y above

∴ y = x² + 8x + 16 - 3

→ Add the like terms

∴ y = x² + 8x + 13

∴ b = 8 and c = 13

a) b = 8, c = 13

∵ The graph A is reflected in the x-axis

→ That means y will change to -y as 1st rule above

∴ -y = (x² - 3)

→ Multiply both sides by -1 to make y positive

∴ y = -(x² - 3)

→ Multiply the bracket by the negative sign

∴ y = -x² + 3

b) The equation of graph B is y = -x² + 3

4 0
3 years ago
Solve for the value of x
lukranit [14]

x= 55°

according to the picture .........

4 0
3 years ago
Bill reads 1/5 of a book on Monday he reads 2/3 of a book on Tuesday if he finish reading the book on Wednesday what fraction of
Evgen [1.6K]

total book =1

1/5 + 2/3 + wed = 1

get a common denominator of 15

1/5 * 3/3 + 2/3 * 5/5 + wed = 1 * 15/15

3/15 + 10/15 + wed = 15/15

combine like terms

13/15 + wed = 15/15

subtract 13/15 on each side

wed = 15/15-13/15

wed = 2/15

He read 2/15 of the book on Wednesday

5 0
3 years ago
Solve for x: −4x+6(6−2x)=−7x−36
ValentinkaMS [17]

Answer:

x = 8

Step-by-step explanation:

-4x + 6(6 - 2x) = -7x - 36

-4x + 36 - 12x = -7x - 36

-16x + 36 = -7x - 36

<u>       +36           +36</u>

-16x + 72 = -7x

<u>+16x           +16x</u>

72 = 9x

divide by 9

<u><em>x = 8</em></u>

4 0
3 years ago
Read 2 more answers
Suppose n(U) = 150, n(A) = 35, and n(B) = 89.<br> (a) If n(A U B) = 90, find n(A n B).
avanturin [10]

Answer:

34

first of all use formula:

n(AUB)=n(A)+n(B)-n(AnB)

4 0
3 years ago
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