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svp [43]
3 years ago
11

The vertex of this parabola is at (-3,-1). When the y value is 0, the x value is 4. What is the coefficient of the squatted term

Mathematics
1 answer:
kupik [55]3 years ago
5 0
I'm assuming by the way those points lie in the coordinate plane that this is a parabola that opens to the right, a y^2 parabola.  Our x and y coordinates are (4,0), and the h and k of the vertex are (-3, -1).  The standard form for this parabola is x=a(y-k)^2+h.  We need to find a.  Filling in accordingly, 4=a(0+1)^2-3.  Simplifying a bit we get 4 = a - 3.  a = 7.  The parabola, then, has the equation x=7(y+1)^2-3
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Analyze the diagram below and answer the question that follows. If 2004-02-01-02-00_files/, what is 2004-02-01-02-00_files/? A.
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Option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively. This can be obtained by knowing what similar triangles are and finding which sides are proportional.

<h3>Find the correct option:</h3>

Similar triangles: If two triangles have proportional sides the are similar.

For example, if ΔABC and ΔDEF are similar then

\frac{AB}{DE}= \frac{BC}{EF} =\frac{AC}{DF}

∠ABC = ∠DEF and ∠ACB = ∠DFE

Then we can write that, ΔABC ~ ΔDEF

Here in this question,

Since A, Y, Z are midpoints of sides XW, VW, XV

XA = AW

WY = VY

XZ = VZ

To consider sides AY and XV we should take triangles ΔWAY and ΔWXV

\frac{WX}{WA} =\frac{2WA}{WA} = 2  (since A is the midpoint of WX)

\frac{WV}{WY} =\frac{2WY}{WY} = 2  (since Y is the midpoint of WV)  

∠AWY = ∠XWV (reflexive property)

Therefore ΔWAY and ΔWXV are similar triangles

\frac{WX}{WA}= \frac{XV}{AY} =\frac{WV}{WY} = 2

∠WAY = ∠WXV and ∠AYW = ∠XVW

Hence,

AY || XV option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively.

 

Learn more about similar triangle here:

brainly.com/question/25882965

#SPJ1

Disclaimer: The question was given incomplete on the portal. Here is the complete question.  

Question: Analyze the diagram below and answer the question that follows. If Z, Y and A are midpoints of ΔVWX what is true about AY and XY?

A. AY || XV

B. 1/2 AY = XV

C. AY = XV

D. AY ≅ XV

 

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<u>Slope-intercept form:</u>

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Substitute m= -2 into the equation:

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Given that the y-intercept is 2, c= 2.

Substitute c=2 into the equation:

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