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Lelu [443]
3 years ago
12

Writing equations of lines

Mathematics
1 answer:
Valentin [98]3 years ago
7 0

Step-by-step explanation:

Equation of straight line is y=mx+c

choose any two points on straight line

for me I choose:(-3,11) and (3,-1)

use these two points to find gradient,m.

m= (-1-11)/(3-(-3))

m= -2

now, y=-2x+c

choose any point on the straight line

I choose point (3,-1)

sub the point into the equation to find c

-1=-2(3)+c

c=5

equation: y=-2x+5

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What's bigger 2/3 or 4/5
Eduardwww [97]
The best thing to do is either to find a common denominator or convert them to decimals.
I will find a common denominator.
A common denominator of 3 and 5 is 15.
You multiply the first fraction by 5
2*5= 10
This then becomes 10/15
You then multiply the second by 3.
4*3= 12
Therefore, this becomes 12/15
As the second of these fractions is larger, this means that 4/5 is larger.
The alternative method is to put them into decimals, in which case 2/3= 0.66 and 4/5= 0.8
Hope this helps :) 
4 0
3 years ago
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Find the imaginary solutions to the following quadratic function:
Temka [501]

Answer:

the solutions are these

Step-by-step explanation:

\frac{3}{14}  +  \frac{ \sqrt{159} }{14} i \: and  \\ \: \frac{3}{14}   -  \frac{ \sqrt{159} }{14} i

8 0
3 years ago
What is the result when 3x^4+2x^3-5x^2-6x-2 is divided by x+1
SCORPION-xisa [38]

Answer:

The answer to your question is:    3x³ - x² - 4x - 2

Step-by-step explanation:

Data

3x⁴ + 2x³ - 5x² - 6x - 2

x + 1

Process

Synthetic division

                                 3    2    -5   - 6    -2       -1

                                      -3      1     4      2                                            

                                 3   -1     -4    -2      0

 Result        3x³ - x² - 4x - 2

5 0
3 years ago
The graph of y = 1/2 x2 + 2x + 3 is shown. What are the solutions to the equation 1/2 x2 + 2x + 3 = x + 7?
kirill [66]

Answer:

Step-by-step explanation:

Let's organise our information :

  • the function is (1/2)x²+2x+3

we want to khow the value of x that gives us : (1/2)x²+2x+3=x+7

Now the trick is to write this expression as a quadratic equation with zero at one side :

  • (1/2)x²+2x+3=x+7
  • (1/2)x²+2x+3-x-7=0
  • (1/2)x²+x-4=0

Now let's solve this equation :

  • a= 1/2
  • b= 1
  • c= -4

Δ=1²-4*(1/2)*(-4)

 = 9

So we have two solutions :

  • \left \{ {{y=\frac{-1-3}{2*0.5} } \atop {x=\frac{-1+3}{2*0.5} }} \right.
  • y= -4
  • x= 2

So the solutions are -4 and 2

3 0
4 years ago
3(3y-4)=33 plz answer
Readme [11.4K]

Answer:

y=5

Step-by-step explanation:

3(3y-4)=33

9y-12=33

9y=45

y=5

4 0
3 years ago
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