Answer:
tan A = <u>opp</u>
adj
tan G = <u>EF</u>
3
from Pythagoras theorem,
EF² + 3² = (√24)²
EF² + 9 = 24
EF² = 15
EF = √15
then,
tan G = <u>√</u><u>1</u><u>5</u>
3
therefore tan G = √15/3
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> the number of boys
y -----> the number of girls
----->inequality A
The solution of the inequality A is the shaded area above the solid line
The slope of the solid line is positive
The y-intercept of the solid line is (0,-5)
The x-intercept of the solid line is (5,0)
-----> equation B
The solution of the inequality B is the shaded area above the dashed line
The slope of the dashed line is negative
The y-intercept of the solid line is (0,4)
The x-intercept of the solid line is (4,0)
using a graphing tool
the solution of the system of inequalities is the shaded area between the solid line and the dashed line
see the attached figure
The answer is
C. If tomorrow is Friday, then today is Thursday.
Answer:
y = (1/3)x + 4
Step-by-step explanation:
Two points on this line are (0, 4) and (3, 5).
As we move from the first point to the second, x increases by 3 and y increases by 1. Thus, the slope, m, of the line is m = rise / run = 1/3.
Use the slope-intercept equation: y = mx + b.
If we use the data from the point (0, 4), we get:
4 = (1/3)(0) + b, so that b = 4. The desired equation is y = (1/3)x + 4.
Step-by-step explanation:
I take it this is meant to be a multiplication, right ?
not a "function of function", which would be symbolized by a little empty circle.
to multiply 2 function means basically the same as to add, subtract or divide 2 functions : to apply the arithmetic operation in both expressions.
(f×g)(x) = (-2x² + 4x)(x² + 18x + 77) =
= -2x⁴ - 36x³ - 154x² + 4x³ + 72x² + 308x =
= -2x⁴ - 32x³ - 82x² + 308x
