Answer
the equation of a line that is perpendicular to −x+3y=9 is y=-3x-7
Step-by-step explanation:
Equation of given line is −x+3y=9
we write the equation in y =mx+b to find slope of given line (m)
−x+3y=9
Add x on both sides
3y = x+ 9
Divide by 3 on both sides
Slope of given line = 1/3
Slope of perpendicular line is the negative reciprocal of slope of given line
Slope of perpendicular line = -3
Perpendicular line passes through point (-3,2) that is (x1,y1)
Now we use point slope equation
y - y1 = m (x-x1)
y - 2 = -3(x-(-3))
y - 2= -3(x+3)
y -2 = -3x -9
Add 2 on both sides
y = -3x - 7
Answer:
Vertex (-3, -3)
Step-by-step explanation:
Highest or lowest point lying on the graph of a parabola is said to be the Vertex of a parabola.
By this definition, point P (lowest point) is the vertex of the given parabola.
Coordinates of the Vertex are (-3, -3).
Therefore, Vertex (-3, -3) is the answer.
Answer:
True
Step-by-step explanation:
The negative sign reflect the graph over x-axis.
Answer:
(4,3), (−4,8), (−4,3)
(2.5,−4), (0,0), (0,−4)
Step-by-step explanation:
On plotting on graph all form right angled triangle.
Dimension of all triangles and tanФ
- Base=2 Height=5 tanФ 2.5
- Base=5 Height=3 tanФ 1.6
- Base=8 Height=5 tanФ 1.6
- Base =2.5 Height=4 tanФ 1.6
[Here base and height can be interchanged if needed]
Ratio of perpendicular and base of last two triangle is equal.
First two are not congruent to any of other triangle but 3rd and 4th triangle are congruent .
Their coordinates are:
(4,3), (−4,8), (−4,3)
(2.5,−4), (0,0), (0,−4)
Hi there! :)
Answer:
m∠BGC = 16x - 4
m∠CGD = 2x + 13
m∠BGC + m∠CGD sums up to 90°, therefore:
(16x - 4) + (2x + 13) = 90
Combine like terms and simplify:
16x + 2x - 4 + 13 = 90
18x - 4 + 13 = 90
18x + 9 = 90
18x = 81
18x/18 = 81/8
x = 4.5
