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2 answers:
Answer:
2) In an isoscles triangle, 2 sides are congruent.
Missing sides = x
In a right △,
Hypotenuse ² = Base² + Altitude ²
98 = x² + x²
98 = 2x²
98/2 = x²
49 = x²
√49 = x
7 = x
=》Length of the congruent sides = 7 cm
3) Using pythagorean property,
Hypotenuse ² = Base² + Altitude ²
10² = 6² + A²
10² - 6² = A²
100 - 36 = A²
64 = A²
8 cm = A
=》The upper end of the ladder touches the wall 8 cm above the ground.
4) AB = Hypotenuse = x
AC = Altitude = 7.2 cm
BC = Base = 2.1 cm
Hypotenuse ² = Base² + Altitude ²
x² = (2.1)² + (7.2)²
x² = 4.41 + 51.84
x² = 56.25
x = √56.25
x = 7.5 cm
=》 Length of AB = 7.5 cm
__________
Hope it helps ⚜
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Answer:
one solution is (0, -2)
Step-by-step explanation:
The line y = -x is the boundary of the solution space of the first inequality. The less-than symbol (<) tells you that the line will be dashed and the shading will be below it. The line has a slope of -1 and goes through the y-intercept point (0, 0).
The line y = x - 2 is the boundary of the solution space for the second inequality. The less-than-or-equal-to symbol (≤) tells you the line will be solid (or equal to) and the shading will be below it (less than). The line has a slope of +1 and goes through the y-intercept point (0, -2).
The area of the graph where the shadings overlap is the solution space for the system of inequalities. Any point in that area will do, including points on the solid line where y < -x. (0, -2) is one such point.
