Answer:
6.36 m
Step-by-step explanation:
The length of the tree's shadow is 7 m + 1.8 m = 8.8 m. Tanya's height is 1.3/1.8 times the length of her shadow. The tree height is, likewise, 1.3/1.8 times the length of its shadow, so is ...
tree height = (1.3/1.8)×(8.8 m) ≈ 6.36 m
The tree is about 6.36 m tall.
Answer:
42 pieces of pie
Step-by-step explanation:
Answer:
110d + 80 > 1620
d > 14
Step-by-step explanation:
The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d
Add 80 to this to represent the bonus points.
Use a greater than inequality, because you have to get more than 1620 points.
Put this all together:
110d + 80 > 1620
Then, solve for d:
110d + 80 > 1620
110d > 1540
d > 14
So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.
Use the y value in equation one and substitute it in equation two.
y=4x-3
y=-x-13
4x-3=-x-13
solve for x
add x to both sides
5x-3=-13
add 3 to both sides
5x=-10
divide both sides by 5
x=-2
Use x=-2 to solve for y in either equation
y=4x-3
y=4(-2)-3
y=-8-3
y=-11
(x, y) = (-2, -11)
Top right is the answer
Hope this helps! :)
The vertices of the original quadrilateral can be written in matrix form using the vertex matrix. The vertex matrix is
To find the coordinates of the endpoints or vertices of the image of the given coordinate points reflected about the y-axis, we just need to multiply the transformation matrix by the vertex matrix. The transformation matrix for this particular problem is
Multiplying the two matrices, we have
Therefore, the coordinates of the endpoints or vertices of the image are
(5,4), (1,-1), (3, -6) and (7, -3).