Answer:
shift it down by 4 units
Step-by-step explanation:
by the placement of the -4 it can be determined that you would shift it according to the y axis
The formula a(x-h)^2 + k = y
h represents change in x, k represents change in y
-k means shift down
Answer:
oopsie delete this
Step-by-step explanation:
Answer:
Step-by-step explanation:
B(2,10); D(6,2)
Midpoint(x1+x2/2, y1+y2/2) = M ( 2+6/2, 10+2/2) = M(8/2, 12/2) = M(4,6)
Rhombus all sides are equal.
AB = BC = CD =AD
distance = √(x2-x1)² + (y2- y1)²
As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x
A(X,0)
AB = AD
√(2-x)² + (10-0)² = √(6-x)² + (2-0)²
√(2-x)² + (10)² = √(6-x)² + (2)²
√x² -4x +4 + 100 = √x²-12x+36 + 4
√x² -4x + 104 = √x²-12x+40
square both sides,
x² -4x + 104 = x²-12x+40
x² -4x - x²+ 12x = 40 - 104
8x = -64
x = -64/8
x = -8
A(-8,0)
Let C(a,b)
M is AC midpoint
(-8+a/2, 0 + b/2) = M(4,6)
(-8+a/2, b/2) = M(4,6)
Comparing;
-8+a/2 = 4 ; b/2 = 6
-8+a = 4*2 ; b = 6*2
-8+a = 8 ; b = 12
a = 8 +8
a = 16
Hence, C(16,12)
Answer:
34
Step-by-step explanation:
A triangle will add up to a degree of 180, so if you add those 2 angles then subtract it from 180 you will get the answer. So, 115+31=146 then 180-146=34
So the answer is 34
Answer:
The correct statements are as follows;
1. They have different y-intercepts
2. The substitution method results in false statement 8 = -1
3. There is no solution
Step-by-step explanation:
Here, we want to select the statement that best describes the equations
The equation for a straight line is generally;
y = mx + b
m is slope and b is the y-intercept
slope of both is same ; 4
So first assertion is wrong
they have different y-intercepts
First y-intercept is 8, second is -1
This is correct
The third statement is correct too
if we equated both y;
4x + 8 = 4x -1
We shall have 4x canceled out and left with 8 = -1
(8,-1) is not a solution
There is no solution is correct because after substituting, we have 8 = -1 which is not correct and also impossible
