Answer:
Option D) F
Step-by-step explanation:
we have
-----> inequality A
The solution of the inequality A is the shaded area below the dashed line
The y-intercept of the dashed line is (0,10)
The x-intercept of the dashed line is (5,0)
----> inequality B
The solution of the inequality B is the shaded area below the dashed line
The y-intercept of the dashed line is (0,-2)
The x-intercept of the dashed line is (4,0)
The solution of the system of inequalities is the shaded area between the two dashed lines
see that attached figure
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution
therefore
The solution are the points
E, F and G
(1, -6) and (-5, 2)
Distance between 1 and -5 = 6
Distance between -6 and 2 = 8
6²+8²=x² (PYTHAGOREAN THEOREM)
36+64=x²
x² = 100
x = 10
Note: Not -10 because <em>distance cannot be negative.</em>
Answer:
B
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real irrational roots
• If b² - 4ac > 0 and a perfect square then 2 real rational roots
• If b² - 4ac = 0 then 1 real double root
• If b² - 4ac < 0 then 2 complex roots
Given
x² + 3x - 7 = 0 ← in standard form
with a = 1, b = 3, c = - 7 , then
b² - 4ac
= 3² - (4 × 1 × - 7) = 9 + 28 = 37
Since b² - 4ac > 0 then 2 real irrational roots
Answer:
15.25
Step-by-step explanation: