A parabola opening up or down has vertex (0, 0) and passes through (-6,-9).

Mathematics

1 answer:

Firlakuza [10]2 years ago

4 0

Answer:

the formula is 1.5x^2

Step-by-step explanation:

Since the vertex is 0,0 h and k are both 0

then you plug in the -6 and -9 to the equation

a(-6)=-9

3/2(x)^2

hope that answers your question

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the ratio of 3 numbers is 2:3:4.the largest number is 10 more than the smallest. what is the middle number

MissTica

See, pls, the offered decision:
1. this ratio has another form: 2x/3x/4x;
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Answer: 15.

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3 years ago

The question is the picture thanks for helping

Vedmedyk [2.9K]

Answer:

Answer is option b)

<em>Answer is </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

$a \: walking \: path \: is \: represented \: by \: \\ y = - 4x - 6 \\ 4x + y + 6 = 0 \\ given \: that \\ a \: new \: path \: will \: be \: built \: perpendicular \\ \: to \: \: the \: walking \: path \\ the \: equation \: of \: the \: line \: perpendicular \: to \\ 4x + y + 6 = 0 \: is \\ x - 4y + k = 0 \\ since \: it \: passes \: through \: ( - 4,10) \\ substitute \: x \: = - 4\: and \: y = 10 \: in \: required \: equation \\ - 4 - 4(10) + k = 0 \\ k = 44 \\ then \: the \: equation \: is \\ x - 4y + 44 = 0 \\ adding \: 4y \: on \: both \: sides \\ x + 44 = 4y \\ dividing \: by \: 4 \: on \: both \: sides \\ y = \frac{x}{4} + 11 \\ y = \frac{1}{4} x + 11 \\ so \: the \: answer \: is \: option \: b) \: \frac{1}{4} x + 11$