Answer:
(6,1)
Step-by-step explanation:
If you plug these numbers in for x and y, the equation works.
Answer:
12m
Step-by-step explanation:
You can break this shape down into a square and a trapezoid. Frist you can find the area of the square by multiplying 2 by 5 to get 10. Then you would find the area of a trapezoid by doing Area = 1/2height(base1+base2). We can find the height by subtracting 5 from 9. (We do this because we know the side of the square is 5m) Therefore the height would be 4m. We know the bases are 2 and 4. From there you can plug those numbers in to the formula. Area=1/2 * 4 (2 + 4)
Area= 1/2 * 4 (6)
Area = 2(6)
Area = 12m
We can see that two sides of that triangle area equal
so, their corresponding angle will also be equal
now, we know that
sum of all angles in any triangle is always 180
so, we can get equation as

now, we can solve for x



so, option-C..............Answer
Answer:
x² - x - 12 = 0
Step-by-step explanation:
0 = -x² + x + 12
→ Add x² to both sides
x² = x + 12
→ Minus x from both sides
x² - x = 12
→ Minus 12 from both sides
x² - x - 12 = 0
When you see questions of this nature, test the individual inequalities and look out for their intersection.
For

Choose a point in the lower or upper half plane created by the line

The above line is the one which goes through the origin.
Now testing (1,0) yields,

That is,

This statement is true. So we shade the lower half of

For

We test for the origin because, it is not passing through the origin.

This yields

This statement is false so we shade the upper half.
The intersection is the region shaded in B. The top right graph