7.
To swap a figure to 90 degrees counter clock wise turn the points from
(x,y) to (-y,x)
Let’s get your points
(-2,3) ; (-4,2) ; (-2,-4)
Swap the values and make the new x’s negotiate
(-3,-2) ; (-2,-4) ; (4,-2)
These should be the points of the new figure with is 90 degrees counterclockwise of the first one.
10.
To find x you can either:
Add 93 and 54
Or
Find the missing value of the triangle and subtract it from 180. Let’s do both
x = 93 + 54
x = 147
Or
180 - 93 - 54
33
180 - 33 = 147
x = 147
8.
First we dilate the coordinates by 0.5
(-4,6) ; (2,6) ; (2,-4) ; (-4,-4)
Basically divide each x and by by two
(-2,3) ; (1,3) ; (1,-2) ; (-2,-2)
Two units left would be to subtract two from the x values
(-4,3) ; (-1,3) ; (-1,-2) ; (-4, -2)
Add three to each y value
New coordinates:
(-4,6) (-1,6) (-1,1) (-4,1)
6.
Since these are the same circle, then we need to multiply the radius by 2 and then make the newly formed diameters equal to each other
2(6x) = 10x + 8
Multiply
12x = 10x + 8
Get x on one side
2x = 8
Divide
x = 4
Plug in 4 for an equation
2(6(4))
48
Circumference = pi * diameter
Unsure if you use 3.14 for pi
If you use 3.14 :
(3.14) (48) = 150.72
If you use pi :
Pi (48) (rounded) = 150.80
Answer:
Part 1) 1,560 words
Part 2) 161 miles
Step-by-step explanation:
Part 1) 130 words in 5 mins. How many words in an hour?
Remember that
so
using proportion
Find out how many words in 60 minutes (one hour)
Part 2) 322 miles in 2 hours. How many miles in 60 minutes?
Remember that
so
using proportion
Find out how many miles in 60 minutes
Answer: The three methods most commonly used to solve systems of equation are substitution, elimination and augmented matrices.
Step-by-step explanation:
Substitution is a method of solving systems of equations by removing all but one of the variables in one of the equations and then solving that equation.
Elimination is another way to solve systems of equations by rewriting one of the equations in terms of only one variable. The elimination method achieves this by adding or subtracting equations from each other in order to cancel out one of the variables.
Augmented matrices can also be used to solve systems of equations. The augmented matrix consists of rows for each equation, columns for each variable, and an augmented column that contains the constant term on the other side of the equation.
The 6 from 4/6 is the denominator.
Hope this helps <3
