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2 years ago

Please help and thank you

Mathematics

1 answer:

Lorico [155]2 years ago

4 0

Answer:

B. g(x) = (x + 4)²

Step-by-step explanation:

f(x) = x²

And since graph g(x) is f(x) moved 4 points along x-axis and to the right,

g(x) will be equal to (x + 4)²

g(x) = (x + 4)²

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If (72)p = 76, what is the value of p?

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(72)p = 76
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2 years ago

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Answer:

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2 years ago

An escalator from the ground floor to the second floor of a department store is 110 ft long and 32 ft vertical. What is the esca

grigory [225]

Answer: 16.91°

Step-by-step explanation:

1. You can draw a right triangle as you can see in the figure attached.

2. Then you can calculate the angle of elevation (α) as following:

$\alpha=arcsin(\frac{opposite}{hypotenuse})$

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3 years ago

Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(−3, 6, 3) is "twic

Marina86 [1]

Answer:

Equation of Sphere = $x^{2}$ + $y^{2}$ + $z^{2}$ - 18x - 4/3y +10z + 142/3 = 0

Step-by-step explanation:

Data Given:

P = (x,y,z)

Distance from P to A (-3,6,3) = Twice the distance from P to B(6,2,-3)

Solution:

Find the equation of the sphere:

It is given that:

PA = 2PB

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$(PA)^{2} = (2PB)^{2}$

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Solving the above equation:

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$x^{2}$ + 9 + 6x + $y^{2}$ + 36 - 12y + $z^{2}$ + 9 - 6z = 4 { $x^{2}$ + 36 - 12x + $y^{2}$ + 4 - 4y + $z^{2}$ + 9 + 6z}

$x^{2}$ + 9 + 6x + $y^{2}$ + 36 - 12y + $z^{2}$ + 9 - 6z = 4 $x^{2}$ + 144 - 48x +4 $y^{2}$ + 16 - 16y + 4 $z^{2}$ + 36 + 24z

Putting the right hand side = 0 and solving the equation:

$x^{2}$ - 4 $x^{2}$ + $y^{2}$ - 4 $y^{2}$ + $z^{2}$ - 4 $z^{2}$ + 6x + 48x - 12y +16y -6z - 24z + 9 + 36 + 9 -144 - 16 - 36 = 0

-3 $x^{2}$ - 3 $y^{2}$ -3 $z^{2}$ + 54x + 4y -30z -142 = 0

Taking (-) common

- ( 3 $x^{2}$ + 3 $y^{2}$ + 3 $z^{2}$ - 54x - 4y +30z + 142) = 0

3 $x^{2}$ + 3 $y^{2}$ + 3 $z^{2}$ - 54x - 4y +30z + 142 = 0

dividing the whole equation by 3

$x^{2}$ + $y^{2}$ + $z^{2}$ - 54/3x - 4/3y +30/3z + 142/3 = 0

$x^{2}$ + $y^{2}$ + $z^{2}$ - 18x - 4/3y +10z + 142/3 = 0

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2 years ago

works as a florist and worked 12 hours last week and earned $98. At that rate, how much will she earn this weekend if she works

kotykmax [81]

Answer:

$114.3

Step-by-step explanation:

Number of hours worked last week = 12hrs

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The rate at which she earned = ?

Rate = $\frac{amount earned }{total work hour}$

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Now;

Since the total hours she worked during the weekend = 14hrs

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2 years ago