Answer: y=0,5x²-x-1,5.
Step-by-step explanation:

We summarize (1) and (3):

Substitute b=-1 into (2):

From (5) subtract (4):

Substitute a=0,5 into (4):

Hense:
y=0,5x²-x-1,5.
2 ways: make a little divide tree based on how many times you can divide it. Like you have sqrt88 you know it can divide by 2. So its 2 and 44, and 44 can be broken to 2 and 22, then 2 and 11. 11 can’t be divided anymore.
Now choose numbers that are the same and pair them together. These go outside the radicand. You had three 2’s and one 11. So a 2 would go on the outside and the remaining 2 and 11 would be multiplied leaved 2sqrt22.
Another way is to divide by the highest squared number. Taking sqrt88 again. 4 would be the highest squared number. So 88 would be 4 and 22, then 2 and 11. Since you have a 4 which is a perfect square you put that squareroot outside. The inside would remain the same because it wouldn’t break down into perfect squares or pairs anymore. So that would be 2sqrt22.
Tan inverse 28/19 is the answer
Answer:
(0,6)
Step-by-step explanation:
First, deal with the reflection. Reflecting the triangle over the x axis will reflect it vertically into the upper right quadrant. Because it is reflected vertically, the x values of the vertices will not change and the y values will be the negative of whatever value they are originally. If the coordinates of each vertex are (x,y), you can easily find their new location by changing it to (x,-y). After the reflection, the coordinates of the vertices are as follows:
A = (2,6) [originally (2,-6)]
B = (2,1) [originally (2,-1)]
C = (5,6) [originally (5,-6)]
Now, deal with the translation. A translation of -5 units horizontally means that the triangle will be moving 5 units to the left. The y values will be unaffected by the translation. To find the new coordinates, subtract 5 from the x values of the coordinates after the reflection.
A = (-3,6)
B = (-3,1)
C = (0,6)
Therefore, the answer is (0,6).
Answer:
The surface area of the prism is 144cm²
Step-by-step explanation:
First of all we need to calculate the area of the triangle
a = area of triangle
a = (8 cm * 6 cm) / 2
a = 48cm² / 2
a = 24cm²
Now we have to calculate the 3 areas of the rectangles
a1 = 4cm * 10cm
a1 = 40cm²
a2 = 4cm * 8cm
a2 = 32cm²
a3 = 4cm *6cm
a3 = 24cm²
Now we must add all the calculated areas and the triangle 2 times
a1 + a2 + a3 + 2a =
40cm² + 32cm² + 24cm² + 2 * 24cm²
144cm²
The surface area of the prism is 144cm²