Answer:
y = 2x + 3
Step-by-step explanation:
Given:
(2, 7) and (0, 3)
Find the slope between the two points:
(x1, y1) = (0, 3)
(x2, y2) = (2, 7)
(y2 - y1)/(x2 - x1)
(7 - 3)/(2 - 0)
4/2 = 2
m = 2
y = mx + a
y = 2x + a
Use one of the two points to find a (I will use point (2, 7):
7 = 2(2) + a
7 = 4 + a
a = 3
Slope-intercept Form: y = 2x + 3
Point-slope Form: y - 3 = 2x
Point-slope Form: y - 7 = 2(x - 2)
General equation: 2x - y + 3 = 0
Answer:
The slope of the equation y-3=-4(x-5) is -4.
Step-by-step explanation:
This equation is written in point-slope form: y-y₁=m(x-x₁), where "m" is the slope or the equations. In the equation y-3=-4(x-5), the -4 stands in the "m", or slope, spot, so the sope of this equation is -4.
Answer:
15.48 yd squared
Step-by-step explanation:
This is because 6 yards can be used as the radius of your circle. square your radius, so 6x6 which is 36 then multiply by 3.14. You then get 113.04. Since it is a semicircle, divide it by 2. You now get 56.52. If you know your radius, you know your diameter which is 12. 12 is also the length of the rectangle so 6x12 is 72 which is the area of the rectangle. Now subtract 56.52 from 72 to get 15.48 which is the shaded region of the rectangle. So I believe that you are doing yards, so 15.48 yd squared. I hope this helps :)
Hello! The formula for simple interest is prt. That means you multiply the principal (initial amount) by the rate (simple interest percentage), by the amount of time (could be in months or years). So, the loan is $3,750 and the rate is 8.25% for 9 months. 9 months is 3/4 of the year, because there are 12 months in 1 year and 9/12 is 0.75. Let's multiply. 3,750 * 8.25% (0.0825) is 309.375 Now, multiply that number by 0.75 to get 232.03125 or 232.03 when rounded to the nearest hundredth (cent). The amount of simple interest is $232.03.
