Answer:
A(2,1) , B(-3,2) , C(-1,6)
Step-by-step explanation:
A translation of 2 units up means the y values will be shifted up 2 units
A (2,-1) -> A(2,1)
B (-3,0) -> B(-3,2)
C (-1,4) -> C(-1,6)
5 (7) - 3 (-8)
35 - -24
Because two negatives equal a positive the subtraction sign will change into an addition sign.
35+24
So your answer will be 59.
Hope this helped :)
Following with the extra hint that x = 82.03 m
There are 2 ways to approach the question, but although I prefer to group up x first before plugging value, having that -0.05x^2 to group up is too annoying:
Plug x = 82.03
=> Y = -0.05*(82.03^2) + 4.5*82.03 - 6.5
= -336.446045 + 369.135 - 6.5
= 26.188955 m
Please take the time and understand the answer instead of just looking at the final result.
Also I know the number is very long, but that's the question's fault. <span>¯\_(ツ)_/¯</span>
The image showing the dimensions is missing, so i have attached it.
Answer:
A = 156 square feet
Step-by-step explanation:
To find how much plywood Jesse will need to cover all the surface simply means we are to find the surface area.
The surface area of the triangular prism is given by;
A = (2 * (Area of the base)) + (Perimeter of base x height)
Now, area of the base=bh/2
b = 3 ft
h = 4 ft
area of the base = 3*4/2 = 6 ft²
perimeter of the base = L + b + h = 4 + 3 + 5 = 12 ft
height of the prism;h = 12 ft
Thus;
surface area of the triangular prism;
A = (2 * 6) + (12*12)
A = 12 + 144
A = 156 ft²
Answer:
16 square units.
Step-by-step explanation:
We know that any diagonal of a rhombus divides the rhombus into two equal parts having the same area.
Now. the area of Δ ABC can be calculated from the coordinates of its three vertices.
Here, A(-1,4), B(3,2) and C(-1,0) are given.
Hence, the area of Δ ABC will be
square units.
Therefore, area of the rhombus will be (8 × 2) = 16 square units. (Answer)
Note: If the three vertices of a triangle ABC are given to be (x1,y1), (x2,y2), and (x3,y3), then area of the triangle will br given by
.