Answer:
= -1/2
Step-by-step explanation:
Pick two points
(1,0) and (3,-1)
Then use the slope formula
m = (y2-y1)/(x2-x1)
= (-1 -0)/(3-1)
= -1 /2
Answer:
86 m²
Step-by-step explanation:
It can be convenient to think of the figure as an 8×12 rectangle with a 4×5 triangle cut off the corner.
The rectangle area is the product of its length and width:
(12 m)×(8 m) = 96 m²
The triangle area is half the product of its base and height:
(1/2)(4 m)(5 m) = 10 m²
Then the area of the figure is the difference of these:
96 m² -10 m² = 86 m²
To solve this problem you must apply the proccedure shown below:
1. You have that the the <span>archway is modeled by the equation y=-2x^2+8x and the angle mentioned in the problem is defined by the equation x−2.23y+10.34=0.
</span>
2. Therefore, you must susbtitute y=-2x^2+8x into x−2.23y+10.34=0, as below:
x−2.23(-2x^2+8x)+10.34=0
3. When you apply the distributive property, you obtain:
x−2.23(-2x^2+8x)+10.34=0
x+4.46x^2-17.84x+10.34=0
4.46x^2-16.84x+10.34=0
4. When you solve the quadratic equation, you obtain:
x=3 units
Therefore, the answer is the option D: D. 3 units.
T is greater than -15 because numbers after -15, like -16... are less than -15, so when its decreasing it gets lower. Since the questions says the temp stayed above -15, that means the temp could be -14...-13 and so on.
