Notice that the reflection is over a line of the form x=constant; in this case, the y-coordinate of the reflected point stays the same while the x-coordinate changes as expressed by the transformation below
Hence, in our case
Transform points N, M, and O accordingly,
<h2>Therefore, the answer is the first option (top to bottom)</h2>
Answer:
y-intercept : -7
x-intercept : 7/5
Step-by-step explanation:
<em>FOR</em><em> </em><em>Y</em><em> </em><em>intercept</em><em> </em><em>put</em><em> </em><em>x</em><em> </em><em>=</em><em>0</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>equation</em>
<em>FOR</em><em> </em><em>x</em><em> </em><em>intercept</em><em> </em><em>put</em><em> </em><em>y</em><em>=</em><em>0</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>equa</em><em>tion</em><em>!</em>
<em> </em><em>✌️</em><em>;</em><em>)</em>
For this, you have to understand the ratios of a 30,60,90 triangle. The ratio(in order) is x, x(sqrt 3), 2x (following the 30,60,90 pattern y'know). Well, we know the length of the hypotenuse, 4.2, so let's use ratios to figure the other sides out. The ratio of AC is x and the ratio of AB is 2x, so 2x/2=x=2.1. One side down. BC has a ratio of x(sqrt 3). We already know x so we can substitute it in. We get 2.1(sqrt 3). To calculate the area, use the formula 1/2(bh). Inputting the values in, we get 1/2(2.1*(2.1(sqrt 3)). This can be calculated to around 3.82. To calculate the perimeter, take the sum of the sides. By adding the sides together, we get about 9.98. Hope you can now understand how to do these kinds of questions.
Using the Sine Rule:-
20 /sin 45 = BC / sin 30
BC = 20 sin 30 / sin45
= 20 * 1/2 / 1 / sqrt2
= 20 * 1/2 * sqrt2
= 10 sqrt2 answer
A line perpendicular to y = -2x + 5 will have an equation in the form of:
y = (1/2)x + b
Since the graph must intersect (-2,9), we plug in this point to solve for b.
9 = (1/2)*(-2) + b
9 = -1 + b
10 = b
So the equation is:
y = (1/2)x + 10
The answer is A.
