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Schach [20]
3 years ago
9

The figure shows the location of three points around a lake. The length of the lake, BC, is also shown.

Mathematics
2 answers:
Anastaziya [24]3 years ago
7 0
A right triangle ABC is formed when we join three points around a lake.
Length of the side AC = 6 miles.
Length of the side BC = 2 miles.
We have to find Length of side AB.
Using Pythagorean theorem for Right triangle ABC , Right angled at B
→AB² + BC²= AC²
→ AB² + 2²= 6²
→ AB² = 36 - 4
→ AB²= 32
→ AB = √ 32
→→AB = 5.66 (approx)
Option (B) AB = 5.66 is Right choice.
vfiekz [6]3 years ago
4 0
B 5.66 is the right answer
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(Mhanifa) please solve this question thank you!
Dima020 [189]

Answer:

  • Option D.

Step-by-step explanation:

The angles forming a straight angle are supplementary.

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8 0
2 years ago
Which of the following is the solution set of x² + 8x + 12 = 0?
raketka [301]

Answer:

\fbox{\begin{minipage}{9em}x = -2 and x = -6\end{minipage}}

Step-by-step explanation:

Given:

x^{2} + 8x + 12 = 0

Solve for:

x

Solution:

Step 1: Select the formula to solve for x

There are some ways to solve quadratic equations.

One of the simple way (if possible) is performing the factorization.

Another way is using the quadratic formula.

Here, we are going to use factorization.

Step 2: Perform factorization

      x^{2} + 8x + 12 = 0

<=>x^{2}  +  2x + 6x  + 12 = 0

<=>(x^{2} + 2x) + (6x + 12) = 0

<=>x(x + 2) + 6(x + 2) = 0

<=>(x + 2)(x + 6) = 0

<=> x = -2 or x = -6

Hope this helps!

:)

4 0
3 years ago
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