7). It is not possible. It is impossible.
An "acute" triangle is a triangle in which all three angles are acute.
"Acute" means "less than 90 degrees".
A "right triangle" has a 90-degree angle in it, so all three
of its angles can't possibly be acute.
8). Yes, Karen speaks the truth.
In an equilateral triangle, all three angles have
the same size, namely 60 degrees.
Studying this number astutely, you will notice that
it is less than 90 degrees.
Therefore, all three angles in an equilateral triangle are acute angles.
Therefore, every equilateral triangle is a cute one.
9). An equilateral triangle is one with all three sides the same length.
An isosceles triangle is one with two sides the same length.
A scalene triangle is one with all three sides different lengths.
You can drawum.
The answer to this question is D
Answer:
Step-by-step explanation:
See the figure below.
This is how you graph directly from the equation in the slope-intercept form (y = mx + b) without having to create a table of x and y values.
The equation is
y = -2/3 x + 1
Compare it with
y = mx + b
b = 1
The y-intercept is 1, so mark 1 on the y-axis. (You already did.)
I placed a black dot there.
The slope is m.
m = -2/3
slope = m = rise/run
A slope of -2/3 can be though of as -2 rise and 3 run. That means start from the y-intercept, and go -2 in y (a rise of 2 down) and 3 in x (a run 3 right). Point graphed in red.
Mathematically, -2/3 is the same as 2/(-3), so starting again from the y-intercept, this slope can also be though of as rise of 2 in y (a rise of 2 up) and a run of -3 in x (a run of 3 left). Point graphed in green.
The line is graphed in blue.
answer:
x=1/3
x=11/3
STEP 1:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
-3|x-2|+9 = 4
Another term is moved / added to the right hand side.
To make the absolute value term positive, both sides are multiplied by (-1).
3|x-2| = 5
STEP 2:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|x-2|
For the Negative case we'll use -3(x-2)
For the Positive case we'll use 3(x-2)
STEP 3:
Solve the Negative Case
-3(x-2) = 5
Multiply
-3x+6 = 5
Rearrange and Add up
-3x = -1
Divide both sides by 3
-x = -(1/3)
Multiply both sides by(-1)
x = (1/3)
Which is the solution for the Negative Case
STEP 4:
Solve the Positive Case
3(x-2) = 5
Multiply
3x-6 = 5
Rearrange and Add up
3x = 11
Divide both sides by 3
x = (11/3)
Which is the solution for the Positive Case
giving us x=1/3 or x=11/3
allso if u can i need help with a thing so plese help, i would aprestiate it
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