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jasenka [17]
3 years ago
13

+30 puntos. 1) 7 (x+3) 5x + 5

Mathematics
1 answer:
vova2212 [387]3 years ago
8 0

Step-by-step explanation:

7(x+3)5x+5 \\ (7x+21)5x +5 \\ 35 {x}^{2}  + 105x + 5

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A room has a rectangular floor 5.5 m long and 4.5 m wide. The room is 2.5 m in height.
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In triangle abc, the perimeter is 36, and ab=ac. line ad is perpendicular to bc at the point d, and triangle abd's perimeter is
Musya8 [376]
Let x=ab=ac, and y=bc, and z=ad.

Since the perimeter of the triangle abc is 36, you have:

Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36

The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.

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Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
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(eq.2) 2x + y + 2z = 60

Substitute 2x + y by 36 from (eq.1) in (eq.2):

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And solve for z:

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The measure of ad is 12.

If you prefer a less algebraic reasoning:

- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).

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ad = 30 - (36/2) = 30 - 18 = 12
4 0
4 years ago
Read 2 more answers
What is the point of maximum growth:
salantis [7]

f(h(x))= 2x -21

Step-by-step explanation:

f(x)= x^3 - 6

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Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

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cube and cube root will get cancelled

f(h(x))= 2x-15 -6= 2 x-21

wait i think i did the wrong one brb

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4 years ago
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