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AlexFokin [52]
3 years ago
7

A builder is trying to level out some ground with a front-end loader. He picks up some excess dirt at (9, 16) and then maneuvers

through the job site along the rule (x+2, y+3), (x-3, y+4), and then (x+2, y-5) to get to the spot to unload the dirt. Find the coordinates of the unloading point. Write a rule that describes the translation from the loading point to the unloading point.
Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0
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This parabola has<br> x-intercepts
slega [8]

Answer:

see the explanation

Step-by-step explanation:

we have the quadratic equation

y=-16x^{2} +32x-10

This is a vertical parabola open downward

The vertex is a maximum

Find the x-intercepts of the quadratic equation

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

-16x^{2} +32x-10=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16x^{2} +32x-10=0        

so

a=-16\\b=32\\c=-10

substitute in the formula

x=\frac{-32(+/-)\sqrt{32^{2}-4(-16)(-10)}} {2(-16)}

x=\frac{-32(+/-)\sqrt{384}} {-32}

x=\frac{-32(+/-)8\sqrt{6}}{-32}

x=\frac{-32(+)8\sqrt{6}}{-32}=\frac{32(-)8\sqrt{6}}{32}=0.39\ sec

x=\frac{-32(-)8\sqrt{6}}{-32}=\frac{32(+)8\sqrt{6}}{32}=1.61\ sec

therefore

This parabola has two x-intercepts representing the times when the dolphin's height above water is zero feet

8 0
2 years ago
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Help me with this question pleaseeee
Lerok [7]

Answer:

a=69

Step-by-step explanation:

121-52 is equal to 69

3 0
2 years ago
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CAN SOMEONE PLEASE HELP WITH MY MATH??? LOOK AT THE PHOTO PLEASEEE I NEED THIS ASAP
Ilia_Sergeevich [38]

The perimeter of the given rectangle will be ( 12x + 10 ).

<h3>What is the perimeter?</h3>

The perimeter is defined as the sum of all the sides of the given shape. For a triangle, the perimeter will be the sum of all the sides of the rectangle.

It is given that the two sides of the rectangle are (2x + 2) and (4x + 3). Then the perimeter of the rectangle will be calculated as below:-

Perimeter =  Sum of all the sides of the rectangle

Perimeter = 2 ( 2x + 2 + 4x + 3 )

Perimeter = 4x + 4 + 8x + 6

Perimeter = 12x + 10

Therefore, the perimeter of the given rectangle will be ( 12x + 10 ).

To know more about the perimeter follow

brainly.com/question/19819849

#SPJ1

3 0
1 year ago
What are the potential solutions to the equation 2ln(x+3)=0
skad [1K]
2\ln(x+3)=0\implies \ln(x+3)^2=0\implies e^{\ln(x+3)^2}=e^0\implies (x+3)^2=1

Expanding the left side gives

x^2+6x+9=1\implies x^2+6x+8=0\implies (x+4)(x+2)=0

which gives two solutions, x=-4 and x=-2. But if x=-4, then \ln(x+3)=\ln(-1), but this number isn't real, so x=-4 is an extraneous solution. Meanwhile if x=-2, you get \ln(-2+3)=\ln1=0, so this solution is correct.

"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
4 0
3 years ago
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James rode k kilometers on his bike this week. Express the number of kilometers that Ivan rode on his bike in terms of k if he r
Amiraneli [1.4K]

Answer:

13 km/hr

Step-by-step explanation:

Speed = (distance covered) / (time to cover the distance)

   ( 8.45 km)   /   (0.65 hr)

   (8.45 / 0.65)  km/hr

4 0
2 years ago
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