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Zielflug [23.3K]
3 years ago
15

Help!!!!!!!!!! Please!!!!!!!

Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0

Answer:

Collin mistake is step 1

correct answer \frac{3x - 3}{x^{2} -3x}

Step-by-step explanation:

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(B) is the best estimate because the exact answer would be 167.09

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What transformation maps quadrilateral EFGH to quadrilateral QRSP?
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The markings indicate the figures are congruent. The orientation of both figures is clockwise, so no reflection is involved. The direction of QR appears to be 90° counterclockwise from the direction of EF, It appears as though the center of rotation is somewhere in the triangle EGS.

The transformation appears to be a 90° CCW rotation.

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3 years ago
Read 2 more answers
A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh
aleksklad [387]

The spider's movement is an illustration of a parabola.

  • The equation of a parabola is: \mathbf{y = -\frac{1}{160}(x - 40) + 10}
  • The focus of a parabola is: (40,-30)
  • The axis of symmetry is: \mathbf{x = 40}
  • The directrix is:\mathbf{y = 50}

<u>(a) The equation</u>

The spider passes through the origin.

So, we have:

\mathbf{(x,y) = (0,0)}

The spider jumps to a maximum height of 10mm, midway 80mm.

So, the vertex is:

\mathbf{(h,k) =  (40,10)}

The equation of a parabola is:

\mathbf{y = a(x - h)^2 + k}

So, we have:

\mathbf{0 = a(0 - 40)^2 + 10}

Subtract 10 from both sides

\mathbf{a(0 - 40)^2 =- 10}

\mathbf{1600a =- 10}

Solve for a

\mathbf{a =- \frac{1}{160}}

Substitute \mathbf{a =- \frac{1}{160}} and \mathbf{(h,k) =  (40,10)} in \mathbf{(h,k) =  (40,10)}

\mathbf{y = -\frac{1}{160}(x - 40) + 10}

<u>(b) The focus, directrix and the axis of symmetry</u>

The focus of a parabola is:

\mathbf{Focus= (h, k + p)}

Where:

\mathbf{p = \frac{1}{4a}}

So, we have:

\mathbf{p = \frac{1}{4 \times -1/160}}

\mathbf{p = -\frac{160}{4}}

\mathbf{p = -40}

So, we have:

\mathbf{Focus = (40,10-40)}

\mathbf{Focus = (40,-30)}

The axis of symmetry is:

\mathbf{x = h}

So, we have:

\mathbf{x = 40}

The directrix is:

\mathbf{y = k - p}

\mathbf{y = 10 + 40}

\mathbf{y = 50}

Read more about parabolas at:

brainly.com/question/25237745

4 0
3 years ago
The ratio of the number of boys to the number of girls in a school is 5 : 7. If there are 600 students in the school, how many a
enot [183]

Answer:

350 of the students are girls.

Step-by-step explanation:

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50 x 7 = 350

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3 years ago
Fill in the blanks below regarding the end behavior of g(x) = -3x - 1. (3 pts each) On the left, the graph On the right, the gra
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Step-by-step explanation:

<u>Step 1:  Determine the end behavior</u>

The <em>left side </em>of the graph goes to positive infinity in the y direction but negative infinity in the x direction.

         x → -∞

         f(x) → ∞

The <em>right side</em> of the graph goes to negative infinity in the y direction but positivie infinity in the x direction.

         x  → ∞

         f(x) → -∞

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