Which choices are equivalent to the fraction below? Check all that apply.

Systems of equations with different slopes and different y-intercepts have more than one solution.

FrozenT [24]

Answer: OPTION C.

Step-by-step explanation:

The systems of linear equations can have:

1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.

7 0

3 years ago

There are 84 soccer players in a local league. At tjis rate how many soccer players are there per team?

juin [17]

Answer:

how many teams are there?

Step-by-step explanation:

5 0

3 years ago

Please help me i don’t get it

vfiekz [6]

Answer: 615.44 cm²

Step-by-step explanation: When solving this problem the formula that you need to know is that area = π r².

The 14 cm that they are giving you is the radius of the circle, and π equals 3.14. So, in order to solve this the formula is:

Area = 3.14 x 14²

Area = 3.14 x 196

Area = 615.44 cm²

6 0

3 years ago

I will give brainiest

OverLord2011 [107]

Answer:

1,Let us suppose that the height of the ladder is h and the horizontal distance of the ladder from the wall is d, then we use these two important trigonometric functions; the sine and the cosine.

h = sin 78 * 8 m and d = cos 78 * 8m where sin 78 = 0.9781 and cos 78 = 0.2079

With the given values, I expect you to do the two multiplications yourself. You will obtain a near to 8 m answer for the height h and a near to 1.7 m answer for the distance d.

2, The ship is 15 km from the port.

3,30m The ship must travel 15.6km 10 km 8. A rectangular field is 40 m long and 30 m wide. Carl walks from one corner of the field to the opposite corner along the edge of the field. Jade walks across the field diagonally to arrive at the same corner. Tip How much shorter is Jade's shortcut? Show your work. Sketch a diagram Carl-40m ade - b?= C² first. 40m. Jade = a't 62=(3 30' + 402 c 900 + 1,600 e? C² =2,5 U0 %3D C=/2500 C=50 10m shorter. jade shortcut is 172

Step-by-step explanation:

4 0

3 years ago

There are 6 students. 2 of them are chosen for the position of president and Vice President. How many ways do we have to choose

Nutka1998 [239]

We have 15 ways to chose 2 students for the position of president and Vice President

Solution:

Given that,

There are 6 students. 2 of them are chosen for the position of president and Vice President.

To find: number of ways we have to choose the students from the 6 students

So now we have 6 students, out of which we have to choose 2 students

As we just have to select the students. We can use combinations here.

In combinations, to pick "r" items from "n" items, there will be $^{\mathrm{n}} \mathrm{C}_{\mathrm{r}}$ ways

$^{\mathrm{n}} \mathrm{C}_{\mathrm{r}}=\frac{n !}{(n-r) ! r !}$

Then, here we have to pick 2 out of 6:

Total students = n = 6

students to be selected = r = 2

$\begin{aligned} 6 C_{2} &=\frac{6 !}{(6-2) ! 2 !} \\\\ 6 C_{2} &=\frac{6 !}{4 ! 2 !} \\\\ 6 C_{2} &=\frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1 \times 2 \times 1} \\\\ 6 C_{2} &=15 \end{aligned}$

Thus we have 15 ways to chose 2 students for the position of president and Vice President

3 0

3 years ago