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3 years ago

Pls help me on this i don't know what to do

Mathematics

1 answer:

weqwewe [10]3 years ago

5 0

Answer:

Step-by-step explanation:

Standard Form (Quadratic): $y=ax^2+bx+c$

Vertex Form (Quadratic): $y=a(x-h)^2+k$

Intercept Form (Quadratic): $y=a(x-p)(x-q)$

p,q are x-intercepts

x-intercepts given in graph: -2,4

$y=a[x-(-2)](x-4)$

eqn 1: $y=a(x+2)(x-4)$

Plug in the given point to find 'a' : (3,-5)

$-5=a(3+2)(3-4)$

$-5=a(5)(-1)$

$1=a$

Substitute 'a' in to eqn 1.

$y=1(x+2)(x-4)$

eqn 2: $y=(x+2)(x-4)$

Expand eqn 2. (can use FOIL)

$y=x^2-2x-8$

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If the probability of a company meeting its deadline is 3/5, what are the odds?

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Answer:

3/2

Step-by-step explanation:

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3 years ago

If your heart rate is 153 beats per minute during strenuous exercise, what is the time per beat in units of seconds?

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3 years ago

Write an equivalent expression for 36x + 12

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3 years ago

Read 2 more answers

David is right times older than Nicole. If David is 32 years old , how old is Nicole? Write an equation to solve Nicole's age.

rosijanka [135]

Answer:

8a=32

Step by Step

Since David is 8x older than Nicole you could write Nicole as the age of a, so then David would be 8a. You are given David is 32 years old so you set 8a equal to 32.

Answer is 4

Nicole is 4 years old

8a=32

divide both sides by 8

Answer is 4

6 0

3 years ago

HELP PLEASE

Arturiano [62]

The plane will end up flying 5.02°.

The plan's speed relative to the ground will be 645.91 km/hr.

Solution:

Use the cosine formula,

$a^{2}=b^{2}+c^{2}-2 b c \cos A$

Substitute the given values in the formula,

$\mathrm{R}^{2}=700^{2}+80^{2}-(2 \times 700 \times 80 \times \cos 45^\circ)$

$\mathrm{R}^{2}=490000+6400-(112000 \times\frac{1}{\sqrt{2} } )$

$\mathrm{R}^{2}=496400-79195.95$

$\mathrm{R}^{2}=417204.049$

Taking square root on both sides, we get

R = 645.91 km/hr

This is the grouped speed of the aircraft.

To find θ use sine rule.

$$\frac{\sin C}{c}=\frac{\sin A}{a}$

$$\frac{\sin \theta}{80}=\frac{\sin 45}{645.91}$

Do cross multiplication, we get

$${\sin \theta}}=\frac{\sin 45}{645.91}\times 80$

$${\sin \theta}}=\frac{\frac{1}{\sqrt{2} } }{645.91}\times 80$

sin θ = 0.0875

θ = 5.02°

This is known as the drift angle and is the correction the pilot should apply to remain on course.

The heading is the direction the aircraft's nose is pointing which is

The track is the actual direction over the ground which is θ = 5.02°

An alternative method to this would be to separate each vector into vertical and horizontal components and add.

The resultant can be found using Pythagoras.

7 0

4 years ago

Pls help me on this i don't know what to do ​

Pls help me on this i don't know what to do