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Elan Coil [88]
4 years ago
11

You talk to a friend who lives in a different state. She tells you that today it is 12° below zero where she lives. You tell her

it is 54° where you live. What is the difference in temperatures?
Mathematics
2 answers:
Nadusha1986 [10]4 years ago
6 0
Friend = -12°C
you = -54°C

difference = 54 - 12
= 42 degrees.
sleet_krkn [62]4 years ago
3 0
12 degrees below zero tells you we have a negative number, -12. The word "Difference" means we are subtracting. So your equation will be 54 - (-12). Two minuses/negatives back-to-back turn into a plus so the equation is now 54 + 12 = 66.

There is a 66 degree difference in temperatures assuming the temperatures given are using the same units (I mean one is not Celsius and the other Fahrenheit). 
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Find the equation of a straight line passing throught the point listed and having the given gradient. Express your answer in the
Igoryamba
First let's try to find the equation in this form : <span>y = mx + c 

The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.

So equation of a line with the gradient of 3, would look like this ;

</span>y= 3x + c
<span>
Now a point that the line passes through is given, (1, 2) 

This point's x-coordinate is 1 and y-coordinate is 2.

So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.

As you know, </span>x=1 and y=2

y = 3x + c

2\quad =\quad 3\cdot 1+c\\ \\ 2\quad =\quad 3+c\\ \\ 2-3\quad =\quad c\\ \\ -1\quad =\quad c

We found c = -1 

Also in a line's equation, c is constant and it represents the line's y-intercept

So let's build the line's equation.

m=3 and c=-1

y= mx + c

y= 3x -1

We found the line's equation in this form, y= mx + c

Now let's turn it into this form, ax + by + c = 0

y\quad =\quad 3x-1\\ \\ y-3x\quad =\quad -1\\ \\ y-3x+1\quad =\quad 0\\ \\ -3x+y+1\quad =\quad 0

Final answers,

\boxed { y\quad =\quad 3x-1 }

and 

\boxed { -3x+y+1\quad =\quad 0 }

I hope this was clear enough :)




<span>


</span>
5 0
4 years ago
Read 2 more answers
5n(3n+8) ..? I don't understand
SSSSS [86.1K]
You have ti distribute the 5n into the brackets. 

so then youll have 15n^2 + 40n. 
5 0
3 years ago
Use the substitution method to solve the system of equations. y = -8x 4x - y = 3 O AG-2 O B. (6-1 oc c. (6.-4 D. G-4​
Triss [41]
<h2>x = 1/4</h2><h2>y = -2</h2><h2>______________</h2>

<h2>Known : </h2>

y = -8x

4x - y = 3

<h2>Asked: </h2>

Use the substitution method to solve the system of equations ?

<h2>Answered:</h2>

<h3>Substitution y</h3>

4x - y = 3

4x - (-8x) = 3

4x + 8x = 3

12x = 3

x = 3/12

x = 1/4

<h3>Substitution x</h3>

4x - y = 3

4(1/4) - y = 3

4/4 - y = 3

1 - y = 3

-y = 3 - 1

-y = 2

y = -2

6 0
3 years ago
Read 2 more answers
I need the answer to this with the steps, that’d help me out so much thank you❤️.
Hatshy [7]

Answer: The dimensions of the frame:.

W= 2√10 or about 6.3245 inches

L= 4√10 or about 12.6491 inches

Step-by-step explanation:

This would be so much easier if the area of the box was 72. Then the dimensions of the frame would be 6 × 12. So just a little bit larger and more complicated.

Here the equation is w(2w)=80

2w^2 = 80 (2w is easier to work with than L/2).

w^2=40 (^2 means squared)

√w^2 = √40 square root of both sides: Factor 40. Take out√4

W = √4*10

W= 2√10

L= 2w = 4√10

6.3245 × 12.6491 = 80

5 0
4 years ago
PLEASE HELP ME ASAP
Vladimir [108]

Answer:

(0, 75), (75, 0), (-75, 0), (0, -75)

Step-by-step explanation:

I used desmos graphing calculator. c:

7 0
2 years ago
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