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tensa zangetsu [6.8K]
3 years ago
12

If using the method of completing the square to solve the quadratic equation

Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

225/4

Step-by-step explanation:

x²– 15x – 23 = 0

To complete the square

We take to coefficient of the x term

-15

divide by 2

-15/2

Square it

225/4

Add it to each term

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A class has 6 boys and 15 girls. What is the ratio of boys to girls
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The answer is 6:15, but if u need to simplify the answer would be 2:5.
4 0
3 years ago
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Angle of the Sun A 96-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun
scoray [572]

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

                                                   |

                                                   | 96ft

                                                   |

                                                   |

       θ------------------------------------

                    120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

4 0
3 years ago
What's the weight/answer
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I would assume that you convert 2.5 ounces into punds which would make it 0.15 lbs. 
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Marizza181 [45]

Step-by-step explanation:

To find the answer we first multiply 129 by 0.7 since the price descresed 30 percent. each percent is equal to 0.01.

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2 years ago
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Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular
Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

2x+3y-z =K

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

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i.e. same point given.

3 0
3 years ago
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