Find the simultaneous equation x-2y=1,y^2-3xy+8=0
Answers
Answer:
(-2.2, -1.6), (3, 1)
Step-by-step explanation:
You don't have to go far to find the equations. They are right there in your problem statement. Perhaps you want to find the solutions to the equations.
Use the first equation to write an expression for x, then substitute that into the second equation:
x = 2y +1
y^2 -3(2y+1)(y) +8 = 0
-5y^2 -3y +8 = 0
-(5y +8)(y -1) = 0
y = -8/5 or y = 1
The corresponding values of x are ...
x = 2(-8/5)+1 = -11/5
x = 2(1) +1 = 3
The solutions are (x, y) = (-2.2, -1.6) and (3, 1).
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Answers
Answer:
yes they are equal
Step-by-step explanation:
5(p+4) when it is distributed it equals 5p+20 which equals to 5p+20
Final answer:
The expressions 5(p + 4) and 5p + 20 are equivalent at all times due to the distributive property of multiplication over addition in mathematics. These two expressions are the same, and their equivalence doesn't depend on the value of 'p'.
Explanation:
The expressions 5(p + 4) and 5p + 20 are equivalent at all times. This is due to the distributive property of multiplication over addition in mathematics.
This means that when you have an expression like 5(p + 4), you multiply each quantity inside the parentheses by the number outside, which gives you 5p + 20.
So these two expressions are actually the same and are equivalent no matter what the value of p is.
Learn more about Distributive Property here:
#SPJ2
$150 table; 40% discount
Answers
Answer:
$60
Step-by-step explanation:
40% of 150=60
40 × 150= $60
100 1
150 - 60 = $90 (discounted price) [Answer]
b. y-y1=m(x-x1)
c. y1=mx1+b
d. Ax1+by1=C
e. y=mx+b
f. y1-y=m(x-x1)
Please explain why, if you can. Thanks! :)
Answers
The equation of the line, in point-slope form, is given by:
Option b.
-----------------------------------------
The equation of a line, in point-slope form, is given by:
In which
- m is the slope.
- The point is
.
- Nonvertical line means that
- Thus, the correct option is given by option b.
A similar problem is given at brainly.com/question/24144915
Answer:
b. y-y1 = m(x-x1)
Step-by-step explanation:
It's a matter of definition. There are perhaps a dozen useful forms of equations for a line. Each has its own name (and use). Here are some of them.
- slope-intercept form: y = mx + b
- point-slope form: y -y1 = m(x -x1)
- two-point form: y = (y2-y1)/(x2-x1)(x -x1) +y1
- intercept form: x/a +y/b = 1
- standard form: ax +by = c
- general form: ax +by +c = 0
Adding y1 to the point-slope form puts it in an alternate form that is useful for getting to slope-intercept form faster: y = m(x -x1) +y1. I use this when asked to write the equation of a line with given slope through a point, with the result in slope-intercept form.
Answers
Answer:
it depends on the value of x
Step-by-step explanation:
Eg. if x = 1
then, 3(1) < 4
and if, x = 2
then, 3(2) > 4
hope this helps
Answers
Answer :
- One solution
Step by Step explanation :
Take the given equation :
⇒2 + x = 6
Now, start solving it
⇒x = 6 - 2
⇒x = 4
Hence, Solution of given equation is 4. And only one solution exists.
Answer:
one
Step-by-step explanation:
the answer is 4 and there is only one solution there
Answers
Answer:
Scale = ¼
Step-by-step explanation:
See attachment for complete question.
In the attached, we have.
Width = 4 units. ----- Orange
Width = 16 units ------- Black
Required
Determine the scale of dilation
The scale of dilation can be calculated as:
Scale = Width(orange)/Width (black)
Scale = 4/16
Scale = ¼
Hence, the scale of dilation is ¼