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2 years ago

Find the axis of symmerty for x y=x squared -4x-8

Mathematics

1 answer:

xxMikexx [17]2 years ago

6 0

Answer:

x=2

Step-by-step explanation:

y = x^2 -4x-8

This is in the form y = ax^2 + bx +c

The axis of symmetry, h is found by h=-b/2a

We know a = 1, b=-4

h = -(-4)/ (2*1)

=4/2

The axis of symmetry is x=2

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Can someone please help me with this

Iteru [2.4K]

The answer is 5 3/4.............

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2 years ago

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In a system of linear equations in two variables, if the graphs of the equations are the same, the equations are (blank) equat

makkiz [27]

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.

All points of dependent equations share the same slope and same y-intercept.

For example,

6x-2y = 18

9x-3y=27

represent the dependent equations.

Writing both equations in slope-intercept form

y=mx+c

where m is the slope and c is the y-intercept

Now

6x-2y=18

2y = 6x-18

Divide both sides by 2

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

now

9x-3y=27

3y = 9x-27

Divide both sides by 3

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.

5 0

2 years ago

A sauce recipe uses four cans of tomatoes in every 2 1/2 quarts how many cans of tomatoes are used in each court of sauce

romanna [79]

Answer:

I hope this is what youre looking for

2.5 cups in every can

Step-by-step explanation:

2 1/2 quarts = 10 cups

divide 10 by 4

which is 2.5 cups

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3 years ago

If a cup of coffee has temperature 97Â°C in a room where the ambient air temperature is 25Â°C, then, according to Newton's Law o

FinnZ [79.3K]

Answer:

The average temperature is $T_{a} = 81.95^oC$

Step-by-step explanation:

From the question we are told that

The temperature of the coffee after time t is $T(t) = 25 + 72 e^{[-\frac{t}{45} ]}$

Now the average temperature during the first 22 minutes i.e fro $0 \to 22$ minutes is mathematically evaluated as

$T_{a} = \frac{1}{22-0} \int\limits^{22}_{0} {25 +72 e^{[-\frac{t}{45} ]}} \, dx$

$T_{a} = \frac{1}{22} [25 t + 72 [\frac{e^{[-\frac{t}{45} ]}}{-\frac{1}{45} } ] ] \left| 22} \atop {0}} \right.$

$T_{a} = \frac{1}{22} [25 t - 3240e^{[-\frac{t}{45} ]} ] \left | 45} \atop {{0}} \right.$

$T_{a} = \frac{1}{22} [25 (22) - 3240e^{[-\frac{22}{45} ]} - (- 3240e^{0} )]$

$T_{a} = \frac{1}{22} [550 - 1987.12 + 3240]$

$T_{a} = 81.95^oC$

8 0

2 years ago

How do I solve for y:<br> x²y² = 12/z²

Vika [28.1K]

Answer:

Y=Srt(12xs^2/z^2)

Step-by-step explanation:

Firstly

We multiply both sides with 1/x^2

We get

Y^2=12/z^2*1/x^2

Y^2=12x^2/z^2

Next: introduce a srt root

We have

Y=srt(12x^2/z^2)

8 0

2 years ago