(0,6) and (8,8)
slope = (8-6)/(8-0) = 2/8 = 1/4
answer
1/4
Answer:
A closed (solid) dot means the endpoint is included in the curve and an open dot means it isn't. It's like the difference between "less than or equal to" and "less than". If the inequality is "strict" ( < or > ), we use an open dot to indicate that the endpoint of the ray is not part of the solution. For the other types of inequalities ( ≤ and ≥ ), we use a closed dot to indicate that the endpoint is part of the solution.
Step-by-step explanation:
Answer:
<u>244 ft²</u>
Step-by-step explanation:
Rectangle Base Area: 6•4=24
Rectangle Side Area: 8•10=80; 80•2(sides) = 160
Triangle Sides Area: (10•6=60); 60/2(area of triangle) = 30; 30•2(sides)=60*
*Technically can skip the divide by two and then multiply by two, since they cancel out*
(Area of Triangle Formula= 1/2bh)
Add areas together: 24+160+60= <u>244 ft²</u>
Y increases by 8 as x increases by 2 so the relationship is linear with slope 4. That is y=4x+c and 7=-20+c, so c=27.
The relationship seems to be y=4x+27. The only point to fit this equation is (1,31), Answer 3
The terminal point determined by an angle is given by the point on the circumference of the unit circle such that the angle between the radius of the circle and the x-axis is the given angle.
Given the angle
This angle is equivalent to the angle
To find the terminal point, we note that the radius of the unit circle at that point makes a right angle with the coordinates of the terminal point.
We also note that angle
is on the 2nd quadrant of the coordinate axis. This means that the x-value of the terminal point is negative while the y-value is positive.
We also note that the radius of a unit circle is 1.
To find the x-coordinate of the terminal point, we use the relation
Similarly to find the y-coordinate of the terminal point, we use the relation
Therefore, the <span>coordinates of the terminal point determined by T = 20 pi /3 are
</span>