Answer:
perpendicular slope = - 
Step-by-step explanation:
given a line with slope m then the slope of a line perpendicular to it is
= - 
the given slope m = 4, hence
= -
Answer: x= -1/16y +5/8
Step-by-step explanation: Let's solve for x.
1
2
y
−
3
+
8
x
=
2
Step 1: Add (-1)/2y to both sides.
8
x
+
1
2
y
−
3
+
−
1
2
y
=
2
+
−
1
2
y
8
x
−
3
=
−
1
2
y
+
2
Step 2: Add 3 to both sides.
8
x
−
3
+
3
=
−
1
2
y
+
2
+
3
8
x
=
−
1
2
y
+
5
Step 3: Divide both sides by 8.
8
x
8
=
−
1
2
y
+
5
8
x
=
−
1
16
y
+
5
8
AnswEr :
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The value of q is -1.42
⠀⠀⠀⠀
<u>______________________</u>
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➤ How to solve ?
⠀⠀⠀⠀
That's quite easy but you need to recall the BODMAS rule .
⠀⠀⠀⠀
BODMAS rule states the correct sequence to solve an equation . First we need to solve the bracket part then solve if any of is present moving further to division then multiplication carrying with addition atlast subtraction
⠀⠀⠀⠀
In this equation we will solve the bracket then we will apply further BODMAS rule
⠀⠀⠀⠀
<u>━━━━━━━━━━━━━━━━━</u>
SolutiOn :
➠ 7x + 31 = 8x - 1 ( 27x + 3 ) -3
➠ 7x + 31 = 8x - 27x - 3 - 3
Now, we will bring the variable on left hand side and constants on right hand side
➠ 7x - 8x + 27x = - 31 - 3 - 3
➠ 26x = -37
➠ x = -37/ 26
➠ x = - 1.42
∴ The value of x is -1.42 .
<u>━━━━━━━━━━━━━━━━━</u>
Answer:
x = 0 or 1/2
Step-by-step explanation:
Solving an exponential equation of this nature with different bases and coefficients is always a bit of an ad hoc affair. Here, we can divide by the right side expression and make a substitution that turns it into a quadratic.
__
_____
<em>Additional comment</em>
A graphing calculator often solves these very nicely, especially when the equation is put into the form f(x) = 0.
Sin(A+B) = SinACosB + CosASinB
Cos(A+B) = CosACosB - SinASinB
Note pi is taken as pi radians = 180 degrees. Cospi = Cos180 = -1.
Sinpi = Sin 180 = 0
Cos(A+pi) = CosACospi - SinASinpi = (CosA) * (-1) - (SinA) *(0) = -CosA.
Sin(A+pi) = SinACospi + CosASinpi = (SinA)* (-1) + (CosA) * (0) = -SinA.
Cos(A+pi) - Sin(A+pi) = -CosA - -SinA = -CosA + SinA = SinA - CosA.
Answer = (a).
