70 for the first one I can’t figure out the rest I’m so sorry
Answer:
The solution to this system is (-2,1)
Step-by-step explanation:
The given system of equations is;
...eqn1
and
....eqn2
We make y the subject of the second equation to get:
...eqn3
We put eqn3 into eqn1 to get;
We expand to get:
Simplify both sides to get:
Put x=-2 into eqn3
The solution to this system is therefore (-2,1)
You should know that you can predict changes in coordinates after translations without a graph or anything like that.
(x, y) reflected over the x axis = (x, -y)
(x, y) reflected over the y axis = (-x, y)
(x, y) rotated 90 degrees around the origin = (y, -x)
(x, y) rotated 180 degrees around the origin = (-x, -y)
(x, y) rotated 270 degrees around the origin - (-x, y)
So here's our set of points.
A(1, 2), B(4, 6), C(4, 6)
Here's those points reflected over the x axis.
A'(1, -2), B'(4, -6), C'(4, -6)
And here's <em>those</em> points rotated 180° around the origin.
A''(2, -1), B''(6, -4), C''(6, -4)
I think you made a mistake writing down the question, though, because B and C are the same yet you say ABC forms a triangle. You should be able to go through this process with whatever the coordinate was supposed to be.
Given:
There are given that the two paths and one path are 2 miles from the road.
Explanation:
Suppose the distance from the playground to the road is x.
To find the value x, we need to use the cos function;
So,
From the cos function in the given right angle triangle:
Then,
Then,
Final answer:
Hence, the correct option C.
120 = 45x - 25x
120 = 20x
120/20 = x
6 = x
6x 45 = 270
6x 25 = 150
270 - 150 = 120
Our teacher had 45 bags of skittles with 6 skittles in each bag. (45x6 =270)
She also had 25 bags of gum with 6 pieces of gum in each bag. (25x6= 150)
How many did she save altogether for another day? (270-150)
She saved a total of 120 pieces of skittle and gum for another day.