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77julia77 [94]
3 years ago
7

2 divided by 5/12 ? quq

Mathematics
1 answer:
MissTica3 years ago
8 0

Answer:

4.8

Step-by-step explanation:

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Given: ABCD is a quadrilateral, BC║AD, m∠ A = 90°
Lina20 [59]

Answer:

  Rearrange the equations that result from use of the Pythagorean theorem.

Step-by-step explanation:

Transversal AB crossing parallel lines AD and BC makes supplementary interior same-side angles A and B. Since A = 90°, B must be 90°. The Pythagorean theorem then applies in the right triangles ABC and ABD.

We can use that theorem to write two expressions for AB^2:

  BD^2 -AD^2 = AB^2 = AC^2 -BC^2

The middle expression, AB^2, isn't needed beyond this point. Adding (AD^2 -AC^2) to both sides of the equation gives the desired result:

  BD^2 -AC^2 = AD^2 -BC^2

8 0
3 years ago
Line AB passes through points A(–6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y = mx + b,
inn [45]

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points A(-6, 6) and B(12, 3). Substitute:

m=\dfrac{3-6}{12-(-6)}=\dfrac{-3}{18}=-\dfrac{3:3}{18:3}=-\dfrac{1}{6}

Therefore we have y=-\dfrac{1}{6}x+b.

Put the coordinates of the point B to the equation:

3=-\dfrac{1}{6}(12)+b

3=-2+b          <em>add 2 to both sides</em>

5=b\to b=5

Answer:

m=-\dfrac{1}{6}\\\\b=5

8 0
3 years ago
Find the distance between the points (-4, -5 and (3, -1.
Komok [63]
<u><em>≡ We know that:</em></u>
⇔ (x_{1},y_{1}) → (-4,-5)
⇔ (x_{2},y_{2}) → (3,-1)

<u><em>≡ Solution:</em></u>
⇒ \sqrt{[(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}]}
⇒ \sqrt{[(3-(-4))^{2}+(-1-(-5))^{2}]}
⇒ \sqrt{[7^{2}+4^{2}]}
⇒ \sqrt{[49+16]}
⇒ \boxed{\sqrt{65}}
7 0
3 years ago
Read 2 more answers
Evaluate C(n, n).<br><br> A. 0<br> B. 1<br> C. n
horrorfan [7]
C(n,n)=\dfrac{n!}{n!(n-n)!}=\dfrac1{0!}=\dfrac11=1

In other words, how many ways are there to choose n objects from a total of n objects? Just one; take all of them at the same time.
4 0
3 years ago
Determine whether each of these functions is O(x^2 ).
otez555 [7]

Answer:

  • (a)  no
  • (b)  yes
  • (c)  no
  • (d)  no

Step-by-step explanation:

"Of the order x^2" means the dominant behavior matches that of x^2 as x gets large. For polynomial functions, the dominant behavior is that of the highest-degree term.

For other functions, the dominant behavior will typically be governed in some other way. Here, the rate of growth of the x·log(x) function is determined by log(x), which has decreasing slope as x increases.

Only answer selection B has a highest-degree term of x^2, so only that one exhibits O(x^2) behavior.

3 0
3 years ago
Read 2 more answers
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