MATHEMATICS HIGH SCHOOL

What is the equation of the line that passes through the point (-4, 7) and has anundefined slope?

Answers

Answer 1
Answer:

Answer:

x = -4

Step-by-step explanation:

Since the slope is undefined, the line is a vertical line.  All vertical lines have an equation x = k.  In your problem k = -4, so the equation of the line is x = -4

Related Questions

Pls help meeeeeeeeeeeeee
Add the decimals 64.5 +2.407+ 10+12.95
A person weighs 77.1 kg. What is his weight in pounds?
What is this ->14y - 51=187 + 4y is y =17 the solution to the equation ? you need to show or write how u know ?? PLEASE help ?!
Karina bought a camera with a regular price of $89. It was on sale at a 20% discount. There was a 7% tax on the sale price. How much did Karina spend to buy the camera?

The loudness, L , of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d , from the source of the sound. A person 14 feet from a jetski, it is 75 decibels loud.

How loud is the jetski when the person is 45 feet away?

Answers

Answer

7.2593 decibels


Explanation

L ∝ 1/d² Inserting the constant of variation,

L = k/d²

k = Ld²

  = 75 × 14²

  = 14,700

When d = 45 feet;

L = 14,700/45²

  = 14,700/2,025

 = 7.2593 decibels

When the person is 45 feet away from the jetski, it is approximately 24.07 decibels loud.

How to determine How loud is the jetski when the person is 45 feet away

We can use the inverse square law to find how loud the jetski is when the person is 45 feet away. The inverse square law states that the loudness (\(L\)) is inversely proportional to the square of the distance (\(d\)):

\[L = k \cdot (1)/(d^2)\]

We are given that when the person is 14 feet away,\(L = 75\). We can use this information to find the value of \(k\):

\[75 = k \cdot (1)/(14^2)\]

Now, solve for \(k\):

\[k = 75 \cdot 14^2\]

Now that we have the value of \(k\), we can use it to find the loudness (\(L\)) when the person is 45 feet away:

\[L = k \cdot (1)/(45^2)\]

Plug in the value of \(k\) we found:

\[L = 75 \cdot 14^2 \cdot (1)/(45^2)\]

Calculate this expression to find the loudness (\(L\)) when the person is 45 feet away:

\[L \approx 24.07 \text{ dB}\]

So, when the person is 45 feet away from the jetski, it is approximately 24.07 decibels loud.

Learn more about inverse square law at brainly.com/question/30562749

#SPJ4

Identify whether or not the following values are a pythagorean Triple: 12, 12, 16A. yes
B. no

Answers

No, they aren't

12² + 12²=16²

288=256

so they aren't a pythagorean triple

For the graph shown, select the statement that best represents the given system of equations.Number graph ranging from negative five to five on the x axis and negative six to four on the y axis. A line with a negative slope is drawn on the graph.
6x + 4y = 2
3x + 2y = 1

A.
not enough information

B.
coincident

C.
consistent and independent

D.
inconsistent

Answers

Answer:

B. coincident

Step-by-step explanation:

An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.

So, given equations are:

6x + 4y = 2 and 3x + 2y = 1

Observe that if we divide the first by 2, we have

(6x + 4y)/(2)=(2)/(2)\n(6x)/(2)+(4y)/(2)=1\n  3x+2y=1

As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.

After analyzing the data provided in this question one can conclude that they are coincident. For the first system equation we have: 6x + 4y = 2. If we divide everything by 2 we will get: 3x + 2y = 1. Coincident means the same line.


The answer is choice B). Coincident.

I hope it helps, Regards.

A quadrilateral hasno pairs of parallel
sides. What two
Shapes could it be?
(Not trapezium/trapezoid
kite, rhombus)

Answers

Answer:

parallelism

Step-by-step explanation:

I'm just looking also the answer!

System of equations PROBLEM/QUESTION:
A school band ordered hats for $3 and large T-shirts for $5. They bought 150 items in all for $590. Graph a system of equations to find how many hats and T-shirts the band ordered.

**PLEASE HELP I DONT UNDERSTAND SYSTEM OF EQUATIONS

Answers

The number of hats ordered is; 80 and the number of shirts ordered is; 70.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that  the Cost of hats = $3

The Cost of shirts = $5

The total cost of all the items = $590.

Total number of items bought = 150 items.

Let us assume that the number of hats ordered be x.

The number of shirts ordered be y

The equation can formed as;

x+y = 150  -------(1)

3x+5y = 590  ---------(2)

Multiply and subtract eq(2) from eq(1),

3x+3y = 450

-(3x+5y = 590)

    -2y = - 140

y = 140/2

y = 70.

Thus, the number of shirts ordered is; 70.

Now Substitute y=70 in eq(1),

x+70 = 150

x = 150-70

x = 80.

Thus, the number of hats ordered is; 80.

Learn more about equations here;

brainly.com/question/25180086

#SPJ2
You would make a system of equations, so the first would be "x+y=150" (x is the number of hats and y is the number of shirts). The second equation would be "3x+5y=590". You would solve the system by either substitution, elimination, or graphing it. 
   If you do it by substitution, you would solve one equation for either variable (the first equation would be easier to solve for either variable) and plug it into the other equation and solve it. So it would look like:  y=150-x      3x+5(150-x)=590    
   If you did it by elimination, you would line the variables in the equations up and make one variable (We'll use x) the opposite of the same variable in the other equation and add the equations together to make the chosen variable cancel out so you could solve for the other variable. So it would look like:   3x+5y=590
                                                                                           + -5x- 5y=-150
                                                                                         -----------------
                                                                                            -2x=440
                                                                                              x=-220
After you do that, you would plug that answer into one of the original equations and solve for the other variable. So it would look like:   -220+y=150
                                                                                     y=370
   If you did it by graphing you would simply graph both equations on the same graph and the point that they intersect at would be your answer.

The rate of electricity charge up to 20 units is Rs 3 per unit and Rs 7 per unit from 21 to 30 units. If a family paid the bill of Rs 166 with Rs 50 service charge, how many units of electricity was consumed in the month?​

Answers

Answer:

28units consumed in month

Step-by-step explanation:

20unit=20×3=60rs

now service charge +60rs=110

similary total paid=166

now 166-110=56

and 56/7=8unit

since total unit=28unit
Other Questions
What is 400 feet in 52.4 seconds
The number divided by -4 is increased by -63, the result is -45. What is the number?
Evaluate each expression for s = 2 and t = 5 -4(s)²+t³÷5
Which is the opposite of -12?