All categories

3 years ago

Is this statement true or false? * If an odd number is less than 15, then it is prime.

Mathematics

1 answer:

Hatshy [7]3 years ago

8 0

Answer: That is false

Step-by-step explanation: 9 is odd but not prime

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PLEASE ANSWER ASAP IF ANSWERED WITHIN 10 MINUTES I WILL GIVE BRAINLIEST

PilotLPTM [1.2K]

Answer:

B. 75°

C. 105°

Step-by-step explanation:

We are given the figure of parallel lines with a line intersecting both of them as shown in the figure below.

B) We have, the car going south-west on King Avenue turns left onto 3rd street.

As, the lines representing 3rd street and 4th street are parallel. Their corresponding angles will be equal.

So, ∠1 = 75°

As, King Avenue intersects 3rd street, the vertical angles will be equal.

So, ∠2 = ∠1 = 75°

Thus, the angle made by the car's turning is 75°.

C) We have, the car going north-east on King Avenue turns right onto 3rd street.

As, the sum of angles on a straight line is 180°.

So, ∠2 + ∠3 = 180°

i.e. ∠3 = 180° - ∠2

i.e. ∠3 = 180° - 75°

i.e. ∠3 = 105°

Thus, the angle made by the car's turning is 105°.

7 0

4 years ago

Read 2 more answers

Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.

scZoUnD [109]

Answer:

$y=\frac{C}{x}$ .

Step-by-step explanation:

Given homogeneous equation

$x^2ydy+xy^2dx=0$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}$

Substitute y=ux , $u=\frac{y}{x}$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}$

Now,

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}$

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u$

$\frac{\mathrm{d}u}{\mathrm{d}x}=-2u$

$\frac{du}{u}=-\frac{dx}{x}$

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

$lnu+ln{x}^2=lnC$

$lnux^2=lnC$

Cancel ln on both side

$ux^2=C$

Substitute $u=\frac{y}{x}$

Then we get

xy=C

$y=\frac{C}{x}$ .

Answer: $y=\frac{C}{x}$ .

8 0

3 years ago

What is the product?<br><br> 2x(x – 4)

sashaice [31]

Keywords:

<em>Product, factors, polynomial, distributive property </em>

For this case we must find the product of two factors of a polynomial. To do this, we must apply the distributive property, which states: $a (b + c) = ab + ac.$

So:

$2x (x - 4) = 2x * x-2x * 4\\2x (x - 4) = 2x ^ 2-8x$

Thus, the product of $2x (x - 4)$ is: $2x ^ 2-8x$

Answer:

The product of $2x (x - 4)$ is: $2x ^ 2-8x$

6 0

3 years ago

Read 2 more answers

The equation w(2w + 2) = 40 can be used to find w, the width of the rectangle. What is the width of the rectangle?

____ [38]

Lol you don’t know fhfhdgdgdhehdhewssssdd

4 0

3 years ago

Use the distributive property and combining like terms to solve the following equation for mm.

tangare [24]

Answer:

there are no solutions to m

Step-by-step explanation:

$- 2(m + 4) - 9 = \\ 5 - 2(m + 4) - 9 = 5$

$- 2m - 8 - 9 = 5 - 2m - 8 - 9 = 5$

$- 2m - 17 = - 2m + 5 - 8 - 9 = 5$

$- 2m - 17 = - 2m - 3 - 9 = 5$

$- 2m - 17 = - 2m - 12 = 5$

$- 2m = - 2m + 5 = 5$

$- 2m = - 2m + 5 = 5 \\ - 2m = - 2m = 0 \\ - 2m = m = 0 \\ - 2(0) = 0 \\ 0 = 0$

check

$- 2(0 + 4) - 9 = 5 \\ - 2(0 + 4) - 9 = 5 \\ \\ 0 - 8 - 9 = 5 \\ 0 - 8 - 9 = 5 \\ - 17 = 5 \\ there \: are \: no \: solutions$

4 0

3 years ago