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3 years ago

Find the solution to the system of the equations shown below: y=-4x+11 y=1/2x + 2

1 answer:

3 0

The answer is the point where the lines cross, (2,3) or you could set -4x+11=1/2x+2 and solve for x then plug that into either of the equations to get y.

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Find the distance between the points given. (-3, 2) and (9, -3)

klemol [59]

Answer:

Distance = 13

Step-by-step explanation:

Using the distance formula, plug in the two points:

d = sqrt(9-(-3))^2+(-3-2)^2

d = sqrt(12)^2+(-5)^2

d = sqrt144+25

d = sqrt169

d = 13

6 0

3 years ago

-3/v=-6 simply as much as possible

Aleksandr [31]

Hey!

In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.

Original Equation :
$\frac{-3}{v} = -6$

New Equation {Added Multiply Both Sides by V} :
$\frac{-3}{v} v=-6v$

Solution {New Equation Solved} :
$-3 = -6v$

Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.

Old Equation :
$-3 = -6v$

New Equation {Switched} :
$-6v=-3$

Now we'll divide both sides by v to get v on its own.

Old Equation :
$-6v = -3$

New Equation {Added Divide Both Sides by V} :
$\frac{-6v}{v} = \frac{-3}{v}$

Solution {New Equation Solved} :
$v = \frac{1}{2}$

So, this means that in the equation $\frac{-3}{v} =-6$ , $v = \frac{1}{2}$ .

Hope this helps!

- Lindsey Frazier ♥

3 0

3 years ago

A spinner has 20 equal-sized sections. Two of the sections are blue. a. What is the probability that the spinner will land on bl

Elodia [21]

Answer:

a. 2/20 or 10%

b. Theoretically 2 out of every 20 times the spinner is spun, it will be blue.

Step-by-step explanation:

5 0

3 years ago

What is the inequality shown?

bogdanovich [222]

-2 ≤ x < 8 is the answer.

3 0

3 years ago

Determina si 2018 es un termino de la siguiente progresion aritmetica 17,46,75,104,133,....

Kitty [74]

2018 is the 70th term of the progression.

Explanation
We start out finding the common difference of the progression:
46-17 = 29

Now we write the explicit formula for the sequence. It is of the form
$a_n=a_1+d(n-1)
\\
a_n=17+29(n-1)$

We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:

2018=17+29(n-1)

Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29

Combine like terms:
2018=29n-12

Add 12 to both sides:
2018+12=29n-12+12
2030=29n

Divide both sides by 29:
2030/29=29n/29
70=n

Since n=70, this means 2018 is the 70th term of the sequence.

8 0

4 years ago