Use the linear combination method to solve this system of equations. What is the value of 3x+7y=3 X-7y=1

A club has 4 members. from these members, the positions of president and vice president have to be filled. in how many different

ExtremeBDS [4]

4 members x 2 positions = 8 different ways

7 0

4 years ago

A football field has the shape of a rectangle with dimensions of 300 feet long and 160 feet wide. If a fan was to run diagonally

OLga [1]

Answer: 340

Explanation:

In order to find the length of the diagonal of a rectangle you need to cut the rectangle in diagonal then you have 2 right triangle:

We can take one right triangle to work with:

We can use Pythagorean’s theorem to find the hypotenuse of the right triangle (also the diagonal of the rectangle):

a^2 + b^2 = c^2
300^2 + 160^2 = c^2
90000 + 25600 = c^2
115600 = c^2
Sqrt 115600 = c
340 = c

Where c is the hypotenuse of the right triangle and also the diagonal of the rectangle

3 0

3 years ago

Read 2 more answers

Solve the differential equation

Sloan [31]

Answer:

$f(x) = 3x^2+8$

Step-by-step explanation:

We are given the first derivative of $f(x)$ and the value of $f(0)$ .

To go from the first derivative to the original function, we integrate.

Therefore:

$f(x) = \int {6x} \, dx$

To integrate, we add 1 to the power and divide by the new power:

$\int {6x} \, dx = \frac{6x^2}{2} =3x^2+C$

Because we have an indefinite integral, we have to add the constant, $c$ , to the end.

So: $f(x) = 3x^2+C$

We know $f(0)$ so we can find the constant $C$ .

$f(0)=3(0)^2+C=8$

$C=8$

Therefore $f(x) = 3x^2+8$

6 0

3 years ago

Read 2 more answers

Identify the type of polynomial (1) -3 (2) -6

levacccp [35]

Answer:

1)monomial

2)monomial

explanation:

as both polynomials have one term,it is considered as monomial

6 0

3 years ago

Line segment JM has endpoints with coordinates -2 and 14 on a number line. Points K and L are on segment JM. K has a coordinate

Murljashka [212]

Answer:

B. $\frac{25}{64}$

Step-by-step explanation:

Please find the attachment.

We have been given that line segment JM has endpoints with coordinates -2 and 14 on a number line. Points K and L are on segment JM. K has a coordinate of 2 and point L has a coordinate of 8.

The probability that the first point is positioned on JL would be $\frac{10}{16}$ as there are total 10 points on JL as L is at point 8 and J is at point -2 so (8--2=8+2=10). Total number of points on the number line JM is (14--2=14+2=16)

The probability that second point is not placed on KL would be:

$P(\text{The point is not on KL)}=1-\text{probability that point is on KL}$

$P(\text{The point is not on KL)}=1-\frac{\text{Total points on KL}}{\text{Total points on JM}}$

$P(\text{The point is not on KL)}=1-\frac{(8-2)}{16}$

$P(\text{The point is not on KL)}=1-\frac{6}{16}$

$P(\text{The point is not on KL)}=\frac{16-6}{16}$

$P(\text{The point is not on KL)}=\frac{10}{16}$

$\text{The probability of getting 1st point on Jl and second point is not on KL}=\frac{10}{16}\times \frac{10}{16}$

$\text{The probability of getting 1st point on Jl and second point is not on KL}=\frac{5}{8}\times \frac{5}{8}$

$\text{The probability of getting 1st point on Jl and second point is not on KL}=\frac{25}{64}$

Therefore, our desired probability will $\frac{25}{64}$ and option B is the correct choice.

5 0

3 years ago