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Artyom0805 [142]
2 years ago
7

Add and simplify. Please help

Mathematics
1 answer:
tangare [24]2 years ago
8 0

Answer: Third answer

Step-by-step explanation:

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Sam the Hummingbird flies at a rate of 2 yards per minute, as modeled by the equation y = 2x. She
daser333 [38]

Answer:

See attachment for plot

Step-by-step explanation:

Given

y =2x

R =+2 --- increment in the rate

First, we need to model the new rate

A linear equation is:

y = mx + b

Where

m = rate

Compare y =2x and y = mx + b. we have:

m =2

The above represents the previous rate.

The new rate:

R =+2

Rewrite as:

R = m+2

R = 2+2

R = 4

So, the model is:

y = Rx

y = 4x

<u>The plot at 1 and 2 minutes</u>

When x = 1

y = 4x = 4 * 1 = 4

When x = 2

y = 4x = 4 * 2 = 8

So, we have:

(x_1,y_1) =(1,4)

(x_2,y_2) =(2,8)

<em>Whether she moves backwards or forward, the distance covered remains the same</em>

<em>See attachment for plot</em>

5 0
2 years ago
how far would a 4.0 cm tall object be located from a reflecting surface with a focal lenght that is equal to 5 cm if it is to cr
katrin [286]

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

Use the mirror equation:

1/di + 1/do = 1/f

where di = -10 cm and f = +15 cm. (Note that di is negative if the image is virtual.)

Substitute and solve for do.

1/do + 1/(-10 cm) = 1/(15 cm)

1/do = 1/(15 cm) - 1/(-10 cm) = 5/(30 cm)

do = 6 cm

Hope it helps you

Regards,

Rachana

5 0
3 years ago
Factor the polynomial:<br> 462 + 15b - 4
kirza4 [7]

Answer:

15(\frac{458}{15}+b) or

15(b+\frac{458}{15})

Step-by-step explanation:

First we can subtract the 4.

458 + 15b

Now we need to find the GCF, but they do not share any kinds of factors together. This might look ugly, but it is what it is. We factor out 15 to get b by itself.

15(\frac{458}{15}+b) or

15(b+\frac{458}{15})

8 0
3 years ago
Right now, I am adding fractions, what number can you use to simplify 55/48?
Brrunno [24]

You can't its already simplified


5 0
3 years ago
Read 2 more answers
You are given a vector in the xy plane that has a magnitude of 87. 0 units and a y component of -66. 0 units. Determine the dire
Natalka [10]

You are given a vector in the XY plane that has a magnitude of 87. 0 units and a y component of -66. 0 units. The direction of the vector V is;

<h3>How to know the direction of a vector?</h3>

We know that the formula for 2 vectors like this in the x and y directions is; A = xi^ + yj^

Where A is the magnitude of the resultant

x is the value of the x-component

y is the value of the y-component

We are given;

Magnitude of vector = 84 units

Y-component of the vector = -67 units

Thus,

A = \sqrt(x^2 + y^2)\\\\87 = \sqrt(x^2+ (-66)^2)\\\\87^2= x^2+ 4356\\\\7569 = x^2+ 4356\\\\x= \sqrt(7569 - 4356)\\\\x = 56.68 units

From A above, let us take the positive value of the x-component and as such our original vector will be;

A = 56.68i^ - 66j^

The direction of the vector V is;

\theta = tan^{-1} \dfrac{y}{x}  \\\\\theta =  tan^{-1} \dfrac{-66}{56.68}  \\\theta =-27.15°

Since it points entirely to the negative x-axis, then the angle is;

180 - (-27.15) = 207.15°

Learn more about vectors;

brainly.com/question/1550219

#SPJ4

7 0
2 years ago
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