Answer:
y=3x
Step-by-step explanation:
To put this in slope intercept form, let’s first find the slope
To find slope, use the equation Y2-Y1/X2-X1
When we do this, we get 0-6/0-2
This simplifies out into -6/-2 which is 3
So our slope is 3. Our equation becomes y=3x+b
Now, we find our b
We don’t have to do any solving for this, since we have the point 0,0 listed for us, it goes through the origin and that is our y-intercept or b
So our final equation is y=3x
Hope this helps and have a good day!
Answer:
Step-by-step explanation:
x2+y2+ax+by+c=0
Step 1: Add -by to both sides.
ax+by+x2+y2+c+−by=0+−by
ax+x2+y2+c=−by
Step 2: Add -x^2 to both sides.
ax+x2+y2+c+−x2=−by+−x2
ax+y2+c=−bax+y2+c+−y2=−by−x2+−y2
ax+c=−by−x2−y2
Step 4: Add -c to both sides.
ax+c+−c=−by−x2−y2+−c
ax=−by−x2−y2−c
Step 5: Divide both sides by x.
ax
x
=
−by−x2−y2−c
x
a=
−by−x2−y2−c
x
y−x2
Answer should be 1.85 x 10^18
Answer:
The solutions are a₁ = -4/19 i, a₂ = 4/19 i and a₃ = -1/4
Step-by-step explanation:
Given the equation 76a³+19a²+16a=-4, for us to solve the equation, we need to find all the factors of the polynomial function. Since the highest degree of the polynomial is 3, the polynomial will have 3 roots.
The equation can also be written as (76a³+19a²)+(16a+4) = 0
On factorizing out the common terms from each parenthesis, we will have;
19a²(4a+1)+4(4a+1) = 0
(19a²+4)(4a+1) = 0
19a²+4 = 0 and 4a+1 = 0
From the first equation;
19a²+4 = 0
19a² = -4
a² = -4/19
a = ±√-4/19
a₁ = -4/19 i, a₂ = 4/19 i (√-1 = i)
From the second equation 4a+1 = 0
4a = -1
a₃ = -1/4
Answer: (C) shifts 6 units to the LEFT
<u>Step-by-step explanation:</u>
The vertex form of an absolute value equation is:
y = a |x - h| + k where;
- a is the vertical stretch (irrelevant for this problem)
- (h, k) is the vertex
Since h represents the x-coordinate and the x-axis is left to right, then h shifts the graph left or right.
- If h is negative, the graph shifts to the left.
- If h is positive, the graph shifts to the right.
x + 6 is actually x - (-6), so h is negative and the graph shifts to the left.
