Answer:
28 square units
Step-by-step explanation:
These vertices are written in the form of their x and y coordinates. Let
A=(1,2) ; B =(1,-5) ; C =(5, -5) ; D=(5,2)
The x points are 1, 1, 5, 5
The y points are 2,-5, -5, 2
The x extremes range from 1 to 5. The length in-between is 5-1 = 4
The y extremes range from -5 to 2. The length in-between is 2-(-5) = 7
Area of the polygon enclosed by the coordinates
= 4 x 7 = 28 square units
Imagine a corner of a cube.
It is made of three planes interesting at a single point
The image should help.
IGH because the angles line up
Answer:
There are 8 true/false questions and 26 fill-in-the-blank questions.
Step-by-step explanation:
Let "t" be the number of 2-point true/false questions and "f" the number of 5-point fill-in-the-blank questions.
Mrs. Simmons gave a history test worth 92 points. Symbollically,
2 t + 5 f = 92 [1]
There were a total of 34 questions in the test. Symbollicaly,
t + f = 34
t = 34 - f [2]
If we replace [2] in 1, we get
2 (34 - f) + 5 f = 92
68 - 2 f + 5 f = 92
3 f = 24
f = 8
We replace f = 8 in [2],
t = 34 - 8 = 26
There are 8 true/false questions and 26 fill-in-the-blank questions.
Hello there!
The first thing you must do is to find the slope of the line. To do this, find the negative reciprocal of your current equation. Since your current slope is 3, the negative reciprocal of that would be -1/3, which would be your slope.
Now that you have your slope, plug it into the slope intercept equation as well as your known points:
(1,8) m(slope)=-1/3
8=1(-1/3)+b
Now, solve for b:
8=1(-1/3)+b
8=-1/3+b
b=25/3
Now that you have the slope and the b value, you can conclude that your equation would be:
y=-1/3x+25/3