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3 years ago

Yusuf walked 4 miles per hour for 0.7 hours. How far did Yusuf walk?

Mathematics

1 answer:

DIA [1.3K]3 years ago

4 0

Answer:

Yusuf walked 2.8 miles.

Step-by-step explanation:

r = 4 miles / hour

t = 0.7 hours.

d = r*t

d = 4 * 0.7

d = 2.8 miles

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Can you help me please

adoni [48]

Answer:

The answers are:

2u = <10,2>
-3u = <-18,-6>
u+v = <11,3>
3u-4v = <-9,-5>

Step-by-step explanation:

Given vectors are:

u = <5,1>

v = <6,2>

The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs

Now,

$2u = 2(5,1) = (10,2)$

$-3v = -3(6,2) = (-18,-6)$

Now we have to add two vectors

In order to add two vectors, their respective coordinates are added:

So,

$u+v = (5,1) + (6,2)\\= (5+6, 1+2)\\=(11,3)$

And

$3u-4v = 3(5,1) - 4(6,2)\\= (15,3) - (24,8)\\= (15-24, 3-8)\\=(-9, -5)$

Hence,

The answers are:

2u = <10,2>
-3u = <-18,-6>
u+v = <11,3>
3u-4v = <-9,-5>

3 0

3 years ago

lex has 10 pages to write. He has written seven pages so far. Write a fraction and a decimal that shows the portion that he stil

snow_lady [41]

3/10 0.3

Hope it helped ✌

7 0

3 years ago

What is the product of (3a + 2)(4a2 – 2a + 9)?

V125BC [204]

Answer:

Step-by-step explanation:

Multiply each term in the first expression by each term in the second expression and combine like terms.

12a3+2a2+23a+18

-hope it helps

4 0

3 years ago

Can someone please help me find the side length area, and please draw the shape on how it would look if it were finished

Mumz [18]

The side length is 5 units, and the area is 25 square units

<h3>What are areas?</h3>

The area of a shape is the amount of space it occupies

<h3>What is the area of a square</h3>

The area of a square is the product of its dimensions

From the graph, the coordinates of the square can be assumed to be:

$A = (0,0)$

$B = (4,3)$

The side length of the square is then calculated using the following distance formula

$d = \sqrt{(x_2- x_1)^2 + (y_2 -y_1)^2}$

So, we have:

$AB = \sqrt{(0 - 4)^2 + (0-3)^2}$

$AB = \sqrt{25}$

$AB = 5$

The area of the square is the calculated as:

$Area = AB^2$

This gives

$Area = 5^2$

$Area = 25$

Hence, the side length is 5 units, and the area is 25 square units

See attachment for the diagram of the shape

Read more about areas at:

brainly.com/question/24487155

6 0

3 years ago

Precalculus question:

nirvana33 [79]

Considering the polynomial f(x) = x^4 - 16x³ + 70x² + 48x - 219, we have that:

a) The zeros are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.

b) The linear factors are: (x + 1.995)(x - 1.995)(x - 8 + 3i)(x - 8 - 3i).

c) The solutions to f(x) = 0 are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.

<h3>How to obtain the zeros of the polynomial?</h3>

The given zero of the polynomial is:

8 + 3i

Hence it's conjugate is also a zero, that is:

8 - 3i.

Thus the first two factors are given as follows:

(x - 8 - 3i)(x - 8 + 3i) = x² - 16x + 64 + 9i² = x² - 16x + 55.

Then the polynomial can be written as follows:

x^4 - 16x³ + 70x² + 48x - 219 = (ax² + bx + c)(x² - 16x + 55).

As a fourth order polynomial can be the product of two second order polynomials. Applying the distributive property to the right side of the equality, we have that:

x^4 - 16x³ + 70x² + 48x - 219 = ax^4 + x³(b - 16a) + x²(55a + c - 16b) + x(55b - 16c) + 55c.

Then the coefficients are given as follows:

a = 1.

55c = -219 -> c = -219/55 -> c = -3.98.

b - 16a = -16 -> b = 0.

Hence the other two factors are given as follows:

x² - 3.98 = 0

x = ± sqrt(3.98)

x = ± 1.995.

The linear factors are:

(x - x')(x - x'')(x - x''')(x - x'''').

In which x', x'', x''' and x'''' are the roots.

The solutions to f(x) = 0 are the roots.

More can be learned about the zeros of a polynomial at brainly.com/question/19030198

#SPJ1

3 0

1 year ago