In the coordinate plane, what is the length of the line segment that connects points at (0,-1) and (-7, -2)?

The difference of two numbers is equal to 0.6. Their quotient is also 0.6. What are the numbers? There are 4

Makovka662 [10]

Let the two numbers be represented by x and y. The problem statement gives rise to two sets of equations.
x - y = 0.6
y/x = 0.6 . . . . . . . assuming x is the larger of the two numbers
or
x/y = 0.6 . . . . . . . assuming y has the larger magnitude

The solution of the first pair of equations is
(x, y) = (1.5, 0.9)

The solution of the first and last equations is
(x, y) = (-0.9, -1.5)

The pairs of numbers could be {0.9, 1.5} or {-1.5, -0.9}.

8 0

3 years ago

Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

4 0

11 months ago

I think the answer is c can someone check me

Katen [24]

Answer:

D

Step-by-step explanation:

you first have to find the domain by finding where the expression is defined

so the answer would be x>5

6 0

3 years ago

Elimination/subtraction

denpristay [2]

Answer:

x = 0, y = 7

Step-by-step explanation:

Solving a system of equations using substitution requires one side to be equal to a variable present in the equation, in this case x or y. We should simplify the equation using elimination before substituting to reduce the chance of error.

In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. These equations arew already aligned for us.

3x - 10y=-70

-<u> 4x +9y = 63</u>

-x + y = 7

Now, for substitution, the equation must be set to a variable.

-x + y = 7

y = x + 7

Next, plug the equation in where applicable in another equation.

4x +9(x + 7) = 63

4x + 9x + 63 = 63

13x = 0

x = 0

The final step of substitution is to plug the known variable into an equation to find the other variable.

3(0) - 10y=-70

0 - 10y = -70

10y = 70

y = 7

I guarantee you this answer is correct, I worked it out using other methods and graphing prior to submitting this answer.

8 0

3 years ago

Read 2 more answers

PLZ HELP!!

White raven [17]

Answer:

The probablity is 11

Step-by-step explanation:

I am sure it's 11

Hope this answer helps you :)

Have a great day

Mark brainliest

7 0

2 years ago