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2 years ago

The axis of symmetry for a function in the form f(x)=x2+4x-5 is x=-2

Mathematics

1 answer:

Valentin [98]2 years ago

6 0

Answer:

error siya bessssss

error siya

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A jogger ran 3 miles due east of his house. then he ran 5 miles at a heading of 30o east of north (or 30o ne). how far is he fro

Natasha_Volkova [10]

Magnitude of the net displacement: 7.0 miles

Step-by-step explanation:

In order to find the total displacement of the man, we have to resolve each displacement along the x- and y- direction.

Taking x as positive x direction and y as positive north direction:

- The first motion is 3 miles due east, so

$A_x = 3 mi\\A_y = 0$

- The second motion is 5 miles at $30^{\circ}$ east of north, so:

$B_x = 5 sin 30^{\circ}=2.5 mi\\B_y = 5 cos 30^{\circ}=4.3 mi$

So the components of the net displacement are

$R_x = A_x + B_x = 3 + 2.5 = 5.5 mi\\R_y = A_y+B_y = 0 + 4.3 = 4.3 mi$

And so the magnitude of the net displacement is

$d=\sqrt{R_x^2+R_y^2}=\sqrt{5.5^2+4.3^2}=7.0 mi$

So, he is 7.0 miles far from the house.

Learn more about distance and displacement:

brainly.com/question/3969582

#LearnwithBrainly

4 0

3 years ago

Kendra has $32 and is planning to save $25 each week. She is saving to buy a new phone that costs $257.00. Write an equation to

Jobisdone [24]

Answer:

257.00=25w+32

Step-by-step explanation:

W is the number of weeks. It will take 9 weeks for her to save up to the new phone.

5 0

2 years ago

Evaluate 1 whole number 2/5 + 3/4 and give your answer to one significant figure

ehidna [41]

Answer:

The answer is

<h3>2 to 1 significant figure</h3>

Step-by-step explanation:

$1 \frac{2}{5} + \frac{3}{4}$

To solve the question first convert the mixed fraction to an improper fraction

That's

$1 \frac{2}{5} = \frac{7}{5}$

So we have

$\frac{7}{5} + \frac{3}{4}$

Find the LCM of the fractions

The LCM of 5 and 4 is 20

That's

$\frac{7}{5} + \frac{3}{4} = \frac{7(4) + 3(5)}{20} = \frac{28 + 15}{20}$

$= \frac{43}{20}$

= 2.15

We have the final answer as

<h3>2 to 1 significant figure</h3>

Hope this helps you

3 0

2 years ago

A 12 foot ladder is leaning against a wall and the foot of the ladder is 5 feet away from the wall. What is the angle between th

Pepsi [2]

Answer:

65.38degrees

Step-by-step explanation:

Given the following

Length of ladder = 12foot = hypotenuse

Distance of the ladder from the wall = 5ft = adjacent

Required

Angle between the ground and the ladder theta

Using the SOH CAH TOA identity

Cos theta = adj/hyp

Cos theta = 5/12

Cos theta = 0.41667

theta = arccos(0.41667)

theta = 65.38 degrees

Hence the angle between the ground and the floor is 65.38degrees

8 0

2 years ago

1. Solve the equation p2 + 2p - 8 = 0 using the quadratic formula

Stels [109]

D. Is correct hope that helped w

8 0

3 years ago