Answer:
16+2=18
18-3=15
2*3=6
Step-by-step explanation:
Hey there!
When we multiply fractions and whole numbers, we simply take that whole number and put it over them, and just multiply across. That gives us:

Notice how it's four, because when we have a fraction, we divide. 8 divided by 2 equals four. Next:

4/4 is equal to 1 because 4 divided by 4 is one. 4 goes into 4 once. Next, we have:

That's because 6/3 = 2.
Hope this helps!
Answer:
a) (i)
, (ii)
, (iii)
, (iv)
, (v)
, (vi)
, (vii)
, (viii)
; b)
; c) The equation of the tangent line to curve at P (7, -2) is
.
Step-by-step explanation:
a) The slope of the secant line PQ is represented by the following definition of slope:

(i)
:




(ii) 




(iii) 




(iv) 




(v) 




(vi) 




(vii) 




(viii) 




b) The slope at P (7,-2) can be estimated by using the following average:



The slope of the tangent line to the curve at P(7, -2) is 2.
c) The equation of the tangent line is a first-order polynomial with the following characteristics:

Where:
- Independent variable.
- Depedent variable.
- Slope.
- x-Intercept.
The slope was found in point (b) (m = 2). Besides, the point of tangency (7,-2) is known and value of x-Intercept can be obtained after clearing the respective variable:



The equation of the tangent line to curve at P (7, -2) is
.
Answer:
Step-by-step explanation:
a. We know that KH is a diameter of the circle and that along angles along it on either side adds up to 180° as it's a straight line.
-Therefore, we have that:

Hence, the angle a is equal to 180°
b.We know that GJ is a diameter of the circle and that along angles along it on either side adds up to 180° as it's a straight line.
-Therefore, we have that:

Hence, the angle b is equal to 35°