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valentinak56 [21]
3 years ago
15

BThe wooden treehouse has horizontal siding that is parallel to the base. What are the LM and MN to the nearest hundredth?

Mathematics
1 answer:
xeze [42]3 years ago
3 0

Answer:

LM =  2.82 ft

MN =  2.39 ft

Step-by-step explanation:

We suppose ΔGNF is isosceles and GF bisect ∠NGF, so that GK ⊥ NF

LH // MJ // NK

GL / GH = LM / HJ = MN / JK

11.3 / 10.4 = LM / 2.6 = MN / 2.2

LM = 11.3 / 10.4 x 2.6 = 2.82

MN = 11.3 / 10.4 x 2.2 = 2.39

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Could someone help me rnnn?
GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola:  y=3x^2-4

Step-by-step explanation:

Given:

  • y-intercept of parabola: -4
  • parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola:  y=a(x-h)^2+k

(where (h, k) is the vertex and a is some constant)

Substitute point (0, -4) into the equation:

\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}

Substitute point (-2, 8) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}

Substitute point (1, -1) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}

Equate to find h:

\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}

Substitute found value of h into one of the equations to find a:

\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}

Substitute found values of h and a to find k:

\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}

Therefore, the equation of the parabola in vertex form is:

\implies y=3(x-0)^2-4=3x^2-4

So the vertex of the parabola is (0, -4)

5 0
2 years ago
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Answer: Right and isosceles

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WXYZ is congruent to PQRS. Find each measure of angle P
REY [17]

P=45

How do I Know that?

<em>I added 35+100 and that equal to 180, so Then I subtracted 180-135 and that gave me 45. So P=35. Add all of them up to see if it = 180 and if it does, then your answer is correct. remeber 3 angles of a triangle =180.</em>

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Step-by-step explanation:

that answer is false because 19-11 = 8 not 10

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