Y = x - 2 and y=-2x +7
Answers
I'm assuming you need to find the solution to this system of equations (where the lines intersect).
We can use the substitution method to solve this system. Take the value of from the second equation and substitute it into the first:
Add to both sides of the new equation:
Now add to both sides of the equation:
Divide both sides by :
Now let's solve for by substituting the known value of
into the first equation:
Simplify using subtraction:
This means our solution is:
Answer:
x = 3, y = 1
Step-by-step explanation:
Solve the following system:
{y = x - 2 | (equation 1)
y = 7 - 2 x | (equation 2)
Express the system in standard form:
{-x + y = -2 | (equation 1)
2 x + y = 7 | (equation 2)
Swap equation 1 with equation 2:
{2 x + y = 7 | (equation 1)
-x + y = -2 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x + y = 7 | (equation 1)
0 x+(3 y)/2 = 3/2 | (equation 2)
Multiply equation 2 by 2/3:
{2 x + y = 7 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 6 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 3 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 3, y = 1
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f(x)=-3x^2-5x+1 and point (1,-7)
Answers
f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)
lim (f(x)-f(a))/(x-a)=- lim (3x+3a+5)=3a+3a+5=-6a-5
if a=1==>-6*1-5=-11
Otherwise
f'(x)=-6x-5
f'(1)=-6-5=-11
at point(1,-7)
A number x is less than 5 and greater than 3.
Answers
Answer:
3<x<5
Step-by-step explanation:
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Answers
theres 150 fish in the pond mius 8% each day so
150-8%=138
138-8%=129.96
129.96 is your answer
Answers
Answer:
x = 3
Step-by-step explanation:
Since the quadrilateral QRST is a square, all sides are equal
Therefore QR must be equal to TS
3x - 6 = 6 - x
4x = 12
x = 3
b. a circle
c. a sphere
d. a point or a sphere
e. a circle or a sphere
99 points. Please provide a detailed and explanative answer.
Answers
If the two spheres are tangent, then the intersection is by definition a point.
Since the two spheres are of unequal diameter, their intersection can't be a sphere (that can only happen if the spheres are of the same diameter and at the same point, then they overlap everywhere).
Now what happens if the two spheres are drawn close to each other a random way ? Well, they will intersect along a circle [see the image attached].
If you want more explanations/..., feel free to ask.
A Circle or point is your answer
See attached pictures