Answer:
y=(x/2)+5
Step-by-step explanation:
Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept form. To get that, we need y by itself so we have to add 3x to both sides: 6y=30+3x. Now we divide by 6 and rearrange the right side: y=(3x+30)/6.
y = (3x/6)+(30/6) => y = (x/2)+5. We also know that the slope is 1/2 and the y-intercept is 5 because of the slope-intercept equation.
Answer: -3π/2
Step-by-step explanation:
The unit circle is tricky, but here are some things to know:
- When measuring angles, you usually move in the counter-clockwise direction. If you are moving clockwise (like shown in your picture), the angle will be negative.
- The unit circle is typically measured in radians, not degrees
- To convert from radians to degrees, multiply by 180/π
- To convert from degrees to radians, multiply by π/180
- The whole unit circle measures 2π (360 degrees). This means that the positive x-axis can be referred to as 0 or 2π, the positive y-axis is referred to as π/2, the negative x-axis is referred to as π, and the negative y-axis is referred to as 3π/2.
-If the angle is negative, switch the signs of the axis above.
The information above is all you need to answer the above question, but if you want/need anything else on the unit circle, just let me know.
Answer:
D
Step-by-step explanation:
Sum = -12
Product = -48
Factors = -12 , 4
-12 + 4 = - 8 & -12 * 4 = -48
x² - 8x - 48 = x² - 12x + 4x - 4*12
= x(x - 12) + 4(x - 12)
= (x - 12) (x + 4)
The rate of change of function 1 (a horizontal line) is zero.
The rate of change (slope) of function 2 is the x-coefficient, 8.
8 is 8 more than 0.
The 4th selection is appropriat:
8
u19=-71.74
Step-by-step explanation:
u5=a+4d=-3.7....(1)
u15=a+14d=-52.3....(2)
-10d=48.6
d=-48.6/-10
d=-4.86
Substitute-4.86 into....(1)
u5=a+4(-4.86)=-3.7
a+(-19.44)=-4.7
a=-3.7-(-19.44)
a=15.74
19term=a+18d=?
=15.74+18(-4.86)
=15.74+(-87.48)
19th term =-71.74
