Answer:
17/18
Step-by-step explanation:
you have to find the common denomonator. So, the LCM (Least common multiple) 9 times 2 is 18. 6 can go into 18, 3 times. so your new fractions are 15/18 + 2/18. then you add the numerators (top numbers) and you get 17/18!
Hope this helps.
First, we calculate the lengths of each line using the
distance formula.
AB = (3 - -5) = 8
CA = (1 - -5) = 6
CB can be calculated using the hypotenuse equation:
CB = sqrt (AB^2 + CA^2)
CB = sqrt (8^2 + 6^2)
CB = 10
The perimeter is therefore:
perimeter = AB + CA + CB = 8 + 6 + 10
perimeter = 24 units
Abswer:
C. 24 units
Answer:
One solution
Step-by-step explanation:
5x + y = 8
15x + 15y = 14
Lets solve using substitution, first we need to turn "5x + = 8" into "y = mx + b" or slope - intercept form
So we solve for "y" in the equation "5x + y = 8"
5x + y = 8
Step 1: Subtract 5x from both sides.
5x + y − 5x = 8 − 5x
Step 2: 5x subtracted by 5x cancel out and "8 - 5x" are flipped
y = −5x + 8
Now we can solve using substitution:
We substitute "-5x + 8" into the equation "15x + 15y = 14" for y
So it would look like this:
15x + 15(-5x + 8) = 14
Now we just solve for x
15x + (15)(−5x) + (15)(8) = 14(Distribute)
15x − 75x + 120 = 14
(15x − 75x) + (120) = 14(Combine Like Terms)
−60x + 120 = 14
Step 2: Subtract 120 from both sides.
−60x + 120 − 120 = 14 − 120
−60x = −106
Divide both sides by -60
Simplify
Now that we know the value of x, we can solve for y in any of the equations, but let's use the equation "y = −5x + 8"
So there is only one solution to the equation.
Answer:
Step-by-step explanation:
Thinking process:
We will need to test the different geometric transformations.
Let's see how this can be done:
Let the shear transformation be represented by the matrix S such that
Then, let the image be reflected by the reflection R, such that:
R = is reflected across the point
then the vector will be =
This is the mirror image.
Then it means that and
Thus, the standard matrix is given by: