Answer:
-1/2
Step-by-step explanation:
The slope of a line is given by
m= (y2-y1)/(x2-x1)
= (3-6)/( 4 - -2)
= -3 / (4+2)
= -3 /6
= -1/2
Answer:
X = 7.5
Step-by-step explanation:
To find the missing side use Pythagorean theorem a squared plus b squared equals c square.
Answer:
True: B, C and D
Step-by-step explanation:
The graph of the function is shown in the attached diagram.
The vertex of the parabola (parabola is the graph of the function f(x)) is at (-3,-16), because
![x_v=\dfrac{1+(-7)}{2}=-3\\ \\y_v=f(-3)=(-3-1)(-3+7)=-4\cdot 4=-16](https://tex.z-dn.net/?f=x_v%3D%5Cdfrac%7B1%2B%28-7%29%7D%7B2%7D%3D-3%5C%5C%20%5C%5Cy_v%3Df%28-3%29%3D%28-3-1%29%28-3%2B7%29%3D-4%5Ccdot%204%3D-16)
So, option A is false and option B is true.
As you can see from the graph, the function is increasing for all x>-3, thus option C is true.
The graph is positive for x<-7 and x>1 and negative for -7<x<1, so option D is true and option E is false.
a + b ≥ 30, b ≥ a + 10, the system of inequalities could represent the values of a and b
option A
<u>Step-by-step explanation:</u>
Here we have , The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, We need to find which system of inequalities could represent the values of a and b . Let's find out:
Let two numbers be a and b where b>a . Now ,
- The sum of two positive integers, a and b, is at least 30
According to the given statement we have following inequality :
⇒ ![a+b\geq 30](https://tex.z-dn.net/?f=a%2Bb%5Cgeq%2030)
- The difference of the two integers is at least 10
According to the given statement we have following inequality :
⇒ ![b-a\geq 10](https://tex.z-dn.net/?f=b-a%5Cgeq%2010)
⇒ ![b-a+a\geq 10 +a](https://tex.z-dn.net/?f=b-a%2Ba%5Cgeq%2010%20%2Ba)
⇒ ![b\geq 10 +a](https://tex.z-dn.net/?f=b%5Cgeq%2010%20%2Ba)
Therefore , Correct option is A) a + b ≥ 30, b ≥ a + 10