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Delicious77 [7]
2 years ago
13

What is the equation of the line that passes through the point (−4,−8) and has an undefined slope?

Mathematics
1 answer:
Masja [62]2 years ago
7 0

Answer:

x = -4

Step-by-step explanation:

An undefined slope would look like a vertical line, up and down. This is shown using an x equals equation instead of a y equals equation.

Since the line goes vertically, you only need to look at the x-value to make the equation, since after doing x = -4 the line would keep going down until it touched (-4, -8).

The line would touch everything in the y-value but stay at x = -4.

Therefore the answer to this problem is x = -4. I've attached a picture (from desmos) showing what the graph of x = -4 would look like and how it touches the point (-4, -8).

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Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together the
MAVERICK [17]

Answer:

the rate charged per hour by the first mechanic is 75 $/hr and the rate charged per hour by the second mechanic is 100 $/hr.

Step-by-step explanation:

A system of equations is a set of two or more equations in various unknowns in which you want to find a common solution.

So, first of all it is convenient to define the system variables:

  • x= the rate charged per hour by the first mechanic
  • y= the rate charged per hour by the second mechanic

If the sum of the two rates were $ 175 per hour, then the mathematical expression that represents this situation is: x + y= 175

You know that the first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.  Then the amount of money won by the first and second mechanic respectively is expressed by 20*x and 15*y. Together they charged a total of $3000, then 20*x + 15*y=3000

So, the system of equations to solve is:

\left \{ {{x+y=175} \atop {20*x+15*y=3000}} \right.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

There are several methods for solving a system of equations. One of them is the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown. Once solved, you must calculate the value of x by substituting the already known value of y.

In this case, you isolate the variable x from the first expression:

x= 175 - y

Replacing this expression in the second equation:

20*(175 - y)+15*y=3000

and solving you get:

20*175 -20*y +15*y=3000

3500 -20*y +15*y=3000

3500 -5*y=3000

-5*y=3000 -3500

-5*y= -500

y= (-500)÷(-5)

y= 100

So:

x=175 -y

x=175 -100

x=75

Then <u><em>the rate charged per hour by the first mechanic is 75 $/hr and the rate charged per hour by the second mechanic is 100 $/hr.</em></u>

6 0
3 years ago
Read 2 more answers
Something about an organism that allows it to live and reproduce effectively in its
makvit [3.9K]

Answer:

B.adaptation

Step-by-step explanation:

7 0
3 years ago
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Find the coordinates of the midpoint of the segment whose endpoints are given . e(4,-4) , f (1,7)
laila [671]
Let g(x,y) be the midpoint of the segment ef;
So, x = (4+1)/2; then x = 5/2;
y = (-4+7)/2; then y = 3/2;
Finally, g(5/2,3/2).
3 0
3 years ago
Which shows the equation c=a(w/150) correctly solved for the variable w ?
Basile [38]
c=a( \dfrac{w}{150} ) 

c=a* \dfrac{w}{150}    Simplify \ brackets 

c= \dfrac{aw}{150} 

c*150=aw    Multiply \  both \ sides \ by \ 150 

150c=aw&#10;&#10; &#10;   Regroup \  terms 

\dfrac{150c}{a} = w   Divide \ both \ sides \ by \ a 

w= \dfrac{150c}{a}   Solution
8 0
3 years ago
What is the 45th term of the sequence generated by the formula (-1) 2n+1 ?
Natalija [7]

Answer:

−0.989010989010

Step-by-step explanation:

what is the 45th term of a sequence generated by the formula tn=(-1)^n * (2n/2n+1)?

When n= 45

tn=(-1)^n*(2n/2n+1)

tn = (-1)^45 * ( 2(45) / 2(45) + 1

= -1 * 90 / (90+1)

= -90 / 91

= −0.989010989010

The 45th term of the sequence generated by the formula tn=(-1)^n*(2n/2n+1) is −0.989010989010

5 0
3 years ago
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