Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>x-coordinate of the vertex is:</u>
<u>The axis of symmetry is the vertical line that passes through the vertex:</u>
- x = -3 is the line we need
The answer to the question
Step-by-step explanation: (-2,-4)
Answer:
y = 3x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (1, 8 ) into the partial equation
8 = 3 + c ⇒ c = 8 - 3 = 5
y = 3x + 5 ← equation of line
Answer
a) PQ = 50
b) PC = 18
PY = 27
c) ZC = 6
ZQ = 18
Explanation
Centroid is a point inside a triangle where all lines drawn from each vertex to the midpoints of opposite side intersect.
Part a
X is the midpoint of PQ. SoPX = XQ.
If PX = 25,
then PQ = 2PX
PQ = 2×25
PQ = 50
Part b
The centroid is alway two thirds away from the vertex.
Also PC = twice CY
PC = 2×9
PC = 18
So, if CY = 9, then PY = 3 × 9
PY = 27
Part c
(i) The centroid is alway two thirds away from the vertex.
If ZC = 12, then CZ =(1/2)QZ
CZ = (1/2) × 12
CZ = 6
(ii) The centroid is alway two thirds away from the vertex.
So, if CZ = 6, then QZ =3 CZ
QZ = 3×6
QZ = 18
