Given:
Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’.
To find:
The coordinates of the vertices of triangle A’B’C’.
Solution:
If triangle ABC reflected across y-axis, then
Coordinates of image after reflection across y-axis are 
Then triangle translated 4 units to the left to form triangle A’B’C’.
Therefore, the vertices of triangle A’B’C’ are A’ (-3, 4), B’ (0, 1), C’ (-3, 1).
Hence, the correct option is B.
X = 29
61 + 90 = 151
180-151 = 29
Answer:
64.87° = 65°{ to the nearest degree}
Step-by-step explanation:
From the figure Catherine is standing 105m from the point B where the Ballon is; this description fits a= 105 m from the diagram.
Similarly Aisha is standing 95m from the point B where the Ballon is; this description fits c= 95 m from the diagram
A = ? ( The angle of elevation of Aisha towards the balloon)
C = 55°
From Sine rule
It states that the sine of an angle divided by its corresponding side is equal for all corresponding angles and sides along the triangle.
This is expressed mathematically as;
Sin A/ a= SinB/ b= SinC/c
We take the pairs of relevance;
Sin A/ a = SinC/c
There SinA = SinC/c × a
=Sin55/95 × 105
= 0.9053
A = Sin^(-1)[0.9053]
A = 64.87° = 65°{ to the nearest degree}
Answer:
Yes.
Step-by-step explanation:
It is because 75=9
Hope This Helps.:)
We know that the points at which the parabola intersects the x axis are
(-5,0) and (1,0)
So the extent between these two points would be the base of the triangle
lets find the length of the base using the distance formula
![\sqrt{[(-5-1)^{2}+(0-0)^{2} ]}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%5B%28-5-1%29%5E%7B2%7D%2B%280-0%29%5E%7B2%7D%20%5D%7D%20%20)
the base b=6
We will get the height of the triangle when we put x=0 in the equation
y=a(0+5)(0-1)
y=-5a
so height = -5a (we take +5a since it is the height)
We know that the area of the triangle =
× 6 × (5a) = 12
15a=12
a= 
