<h3>
Answer: 85 units ^2</h3>
Step-by-step explanation:
Using the equation 
so 
and 
Step-by-step explanation:
We just have to remember the line equation <u>y=mx+b</u>
, then place the given equation into this form (y= -3x-6).
Remember that (m) is your slope. So, to find a parallel line, they must have an equal slope. Check the other equations and see which one had a slope of -3. The answer C also has a slope of -3. So those lines would be parallel.
Answer:
-9
Step-by-step explanation:
2(-x)² - 5 = 157
2x² - 5 = 157
add 5 to each side of the equation:
2x² = 162
divide both sides by 2:
x² = 81
√81 = 9 or -9
The boy is 15 because twice the age of his sister is 12, then you add the three years to it and get 15
Answer:
132cm²
Step-by-step explanation:
You can find the area of the entire shape by calculating the area of seperate smaller shapes.
You can split them up into 2 rectangles, one with a base of 7cm and height of 4cm, and another one with a base of 7cm and height of 8cm. You also have 2 triangles, with a base of 19cm - 7cm / 2 = 6cm since it is the entire bottom line subtracted by the top; they will have a height of 8cm each.
To calculate the rectangles areas, simply do length x width, which are:
4cm x 7cm = 28cm²
8cm x 7cm = 56cm²
Next, since the triangles are similar in measurements, instead of doing the normal calculation to find the area of a triangle, you can do base times height again, which is:
6cm x 8cm = 48cm²
Add all the answers together to get the final area, which is 132cm².
