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Nutka1998 [239]
3 years ago
7

It takes chris 30 mininutes to walk to work it takes him 1/3 of the time to drivewhat is the latesest time he can drive to work

and arrive at 8:00
Mathematics
1 answer:
kramer3 years ago
6 0
It takes Chris 10 minutes to drive, so the latest time he can leave home for work would be 7:50 a.m.
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Find the total surface area of this triangular prism 8cm 30cm 24cm 7cm
Alenkinab [10]

Answer:

61

Step-by-step explanation:

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3 years ago
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Using the given information, give the vertex form equation of each parabola.
Amanda [17]

Answer:

The equation of parabola is given by : (x-4) = \frac{-1}{3}(y+3)^{2}

Step-by-step explanation:

Given that vertex and focus of parabola are

Vertex: (4,-3)

Focus:(\frac{47}{12},-3)

The general equation of parabola is given by.

(x-h)^{2} = 4p(y-k), When x-componet of focus and Vertex is same  

(x-h) = 4p(y-k)^{2}, When y-componet of focus and Vertex is same

where Vertex: (h,k)

and p is distance between vertex and focus

The distance between two points is given by :

L=\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}

For value of p:

p=\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}

p=\sqrt{(4-\frac{47}{12})^{2}+((-3)-(-3))^{2}}

p=\sqrt{(\frac{1}{12})^{2}}

p=\frac{1}{12} and p=\frac{-1}{12}

Since, Focus is left side of the vertex,

p=\frac{-1}{12} is required value

Replacing value in general equation of parabola,

Vertex: (h,k)=(4,-3)

p=\frac{-1}{12}

(x-h) = 4p(y-k)^{2}

(x-4) = 4(\frac{-1}{12})(y+3)^{2}

(x-4) = \frac{-1}{3}(y+3)^{2}

8 0
3 years ago
Help me with my math **50 pts** I mark brainliest**
s2008m [1.1K]

Answer:

2)

2x + 6x + 8 = 32

collect like terms

8x + 8 = 32

move the constant to the right hand side and change its sign.

8x = 32 - 8

Subtract the numbers

8x = 24

Divide both sides of the equation by 8

x = 3

8 0
3 years ago
For what value of c will this function have one zero?<br> f(x) = X^2 +c
Phoenix [80]
X² + c is actually a quadratic function.

And x² + c = 0,  it usually has two zeros which are solutions.

But for when c = 0,

x² + c = 0

x² + 0 = 0

x² = 0

Taking the square root of both sides.

x = 0.  Here it only has one zero.

So the function x² + c,  only has one root for  c = 0.
6 0
3 years ago
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