Answer:
x= 3.096
Step-by-step explanation:
divide both sides by 5: 3^(x-1)= 10
then take the log to get log_3 (10) = x-1 = 2.096
x= 3.096
Simplifying
3a + 2b + c = 26
Solving
3a + 2b + c = 26
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2b' to each side of the equation.
3a + 2b + -2b + c = 26 + -2b
Combine like terms: 2b + -2b = 0
3a + 0 + c = 26 + -2b
3a + c = 26 + -2b
Add '-1c' to each side of the equation.
3a + c + -1c = 26 + -2b + -1c
Combine like terms: c + -1c = 0
3a + 0 = 26 + -2b + -1c
3a = 26 + -2b + -1c
Divide each side by '3'.
a = 8.666666667 + -0.6666666667b + -0.3333333333c
Simplifying
a = 8.666666667 + -0.6666666667b + -0.3333333333c
Given:
m(ar QT) = 220
m∠P = 54
To find:
The measure of arc RS.
Solution:
PQ and PT are secants intersect outside a circle.
<em>If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>


Multiply by 2 on both sides.


Subtract 220 from both sides.


Multiply by (-1) on both sides.


The measure of arc RS is 112.
Answer:
5 sqrt2.
Step-by-step explanation:
sqrt8 = sqrt4 * sqrt2 = 2 sqrt2
sqrt18 = sqrt9 * sqrt2 = 3 sqrt2
So simplifying:
5sqrt 8 - sqrt18 - 2 sqrt2
= 5*2sqrt2 - 3 sqrt 2 - 2 sqrt2
= 10 sqrt2 - 5 sqrt2
= 5 sqrt2 (answer).
Answer:
y =
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line
m =
= 
The line crosses the y- axis at (0, 2 ) ⇒ c = 2
y =
x + 2 ← equation of line