Answer:
Step-by-step explanation:
take x degree as reference angle
using tan rule
tan x=opposite/adjacent
tan x=6.1/5.1
tan x=1.19
x=
1.19
x=49.95
x=50 degree
Answer:
See the attached
Step-by-step explanation:
An exponential function has the variable in the exponent.
Answer:
x=2 and y=0
Step-by-step explanation:
Rewrite equations:
y=−4x+8;y=
3
5
x+
−6
5
Step: Solvey=−4x+8for y:
y=−4x+8
Step: Substitute−4x+8foryiny=
3
5
x+
−6
5
:
y=
3
5
x+
−6
5
−4x+8=
3
5
x+
−6
5
−4x+8+
−3
5
x=
3
5
x+
−6
5
+
−3
5
x(Add (-3)/5x to both sides)
−23
5
x+8=
−6
5
−23
5
x+8+−8=
−6
5
+−8(Add -8 to both sides)
−23
5
x=
−46
5
−23
5
x
−23
5
=
−46
5
−23
5
(Divide both sides by (-23)/5)
x=2
Step: Substitute2forxiny=−4x+8:
y=−4x+8
y=(−4)(2)+8
y=0(Simplify both sides of the equation)
10
A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself). The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ... (OEIS A002808), whose prime decompositions are summarized in the following table.