Answer:
(2,-5)
Step-by-step explanation:
See attachment
One can also solve this by calculation:
y=2x-9
y=-2x-1
-
Rearrange either equation to find x. I'll use the first:
y=2x-9
2x = y+9
x = (y+9)/2
Now use this value of x in the second equation:
y = -2x-1
y =-2((y+9)/2)-1
y = (-2y-18)/2)-1
y = -y -9 - 1
2y = -10
y = -5
Now use -5 for y in the rearranged equation:
y = -2x-1
-5 = -2x-1
-2x = -4
x = 2
Solution is (2,-5)
But the question wants a graph solution, which is also fun when you use DESMOS.
Answer:
Step-by-step explanation:
Co-ordinates of F, G and H are:
F (-4, 5)
G (1, 10)
H (-9, 10)
You can find the lengths of sides by using the distance formula:
<em>length</em>(FG) = 
= 
units
Similarly,
<em>length</em>(GH) = 10 units
<em>length</em>(HF) = 
units
Hence, perimeter will be:
P = <em>length</em>(FG) + <em>length</em>(GH) + <em>length</em>(HF) = 
units
Answer:
6
Step-by-step explanation:
<h3>
Answer: Choice A) 0.20</h3>
===================================================
Explanation:
Let's say there are 1000 students. The students must take math, science or they can take both simultaneously.
- 65% of them are in math. So there are 0.65*1000 = 650 math students.
- 43% are in science, leading to 0.43*1000 = 430 science students.
- 13% are in both so we have 0.13*1000 = 130 students who are in both.
Now onto the sentence that says "Suppose a high school student who is enrolled in a math class is selected at random"
This means we only focus on the 650 math students and ignore the 1000-650 = 350 students who aren't in math.
Of those 650 math students, 130 are also in science (since 130 are in both classes).
The probability we're after is therefore 130/650 = 0.20
