Answer:
A and B
Step-by-step explanation:
For A, y=2 is the axis of vertical symmetry, meaning a reflection would map the shape onto itself.
For B, x=3 is the axis of horizontal symmetry, meaning a reflection would map the shape onto itself.
For C, a rotation of 90 degrees would make the shape taller vertically and shorter horizontally, therefore it would be wrong.
For D, a translation two units down would move all points down, even though some would need to go up, therefore it would be wrong.
Answer:
5/3 teaspoons (if you don't want an improper fraction, it's 1 2/3 teaspoons)
Step-by-step explanation:
If she uses 1 tsp for 3 cups, then the amount needed for one cup is 1/3 tsp.
Since the mother is using 5 cups, just multiply 1/3 by 5, which equals 5/3.
Slope of (6, 9) & (7, 1)
To find the slope, we use the equation : m = y₂-y₁ / x₂-x₁
**Remember : m = slope**
Let's say that (6, 9) is our first set of points, and (7, 1) is our second.
If those are our first and second points, then we now know this :
x₁ = 6, x₂ = 7, y₁ = 9, y₂ = 1
Now that we know that, we can simply plug those points into our slope equation.
m = y₂ - y₁ / x₂ - x₁
m = (1 - 9) / (7 - 6 )
Simplify.
m = -8 / 1
Simplify.
m = -8
So, our slope is -8.
~Hope I helped!~
Answer:
Step-by-step explanation:
Let us assume that the total area of the wall to be painted is w.
Then Jason painted an area of (1/4)w on Monday
And he painted (2)(1/4)w on Tuesday
So to find the unpainted area, we just take the whole wall area to be painted (which is w) and subtract out the amounts painted on Monday and Tuesday, which are shown above.
So the unpainted area (U) would be shown by the following expression:
U = w - (1/4)w - (2)(1/4)w
We can simplify this expression by factoring out w
U = w(1 - 1/4 - 1/2)
U = w (1/4) or w/4
So all Jason needs to do is paint as much of the wall as he did on Monday, and he will be done!
There is only case if ∠c=90
then Δ ACB is right angle triangle.
(hyp)^2=(base)^2+(height)^2
(AB)^2=(15)^2+(17)^2
