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RideAnS [48]
2 years ago
5

I just need help finding h pleasww

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
8 0

Answer:

  • h = (2/3)√3
  • b = 3√2

Step-by-step explanation:

It is useful to remember the ratios between the side lengths of these special triangles.

  30°-60°-90° ⇒ 1 : √3 : 2

  45°-45°-90° ⇒ 1 : 1 : √2

__

h is the shortest side, and the given length is the intermediate side. This means ...

  h/1 = 2/√3

  h = 2/√3 = (2/3)√3 . . . . . . simplify, rationalize the denominator

__

b is the longest side, and the given length is the short side. This means ...

  b/√2 = 3/1

  b = 3√2 . . . . . multiply by √2

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Which of the following is not a factor of x^3 – 3x^2 – 4x + 12?
Slav-nsk [51]

Answer:

c. (x + 3)

Step-by-step explanation:

using factor theorem

if x - 3 is a factor then p(a) = 0

p(a)= x^3 - 3x^2 - 4x + 12

a.(x-3)

p(3) = (3)^3 - 3(3)^2 - 4(3) + 12

= 27 - 27 - 12 + 12

= 0

therefore x-3 is a factor

b.(x + 2)

p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12

= -8 -12 + 8 + 12

,= 0

therefore x + 2 is a factor

c.(x + 3)

p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12

= -27 -27 + 12 + 12

= -30

therefore x + 3 is not a factor

d.(x-2)

p(2) = (2)^3 - 3(2)^2 - 4(2) + 12

= 8 -12 - 8 + 12

= 0

therefore x - 2 is a factor

4 0
3 years ago
Write an equation in point slope form for each line<br> Slope is 3 and (-2,-1) is on the line
elena-14-01-66 [18.8K]

Answer:

\huge  \blue{y + 1 = 3(x + 2) } \\

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

From the question we have the final answer as

y + 1 = 3(x + 2)

Hope this helps you

6 0
3 years ago
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