(2+sqrt2i)^-1 = 1 / (<span>2+sqrt2i)</span>
Answer:
6 = n
Step-by-step explanation:
-3=n/2-6
Add 6 to each side
-3+6 = n/2 -6+6
3 = n/2
Multiply each side by 2
3*2 = n/2 *2
6 = n
Answer:
<em>y = 5x + 100</em>
Step-by-step explanation:
Using the x and corresponding y values from the given table.
Let's use the coordinate (0, 100) and (1, 105)
The equation in slope intercept form is expressed as y = mx+c
m is the slope
c is the y-intercept
Slope m = y2-y1/x2-x1
m = 105-100/1-0
m = 5/1
m =5
Get the y intercept
Substitute the slope m = 5 and any point say (0, 100) into the equation
y = mx+c
100 = 5(0) + c
100 = c
c = 100
Get the required equation;
y = mx+c
y = 5x + 100
<em>Hence the equation in slope-intercept form that represents the data is expressed as y = 5x + 100</em>
Answer:
m∠DBC is 43°
Step-by-step explanation:
Let us solve the question
∵ D is in the interior of ∠ABC
→ That means D divides ∠ABC into two angles ABD and DBC
∴ m∠ABD + m∠DBC = m∠ABC
∵ m∠ABD = (3x + 5)°
∵ m∠DBC = (5x - 7)°
∵ m∠ABC = 78°
→ Substitute them in the equation above
∴ 3x + 5 + 5x - 7 = 78
→ Add the like terms in the left side
∵ (3x + 5x) + (5 + -7) = 78
∴ 8x + -2 = 78
∴ 8x - 2 = 78
→ Add 2 to both sides
∴ 8x -2 + 2 = 78 + 2
∴ 8x = 80
→ Divide both sides by 8
∴ x = 10
→ To find m∠DBC, substitute x by 10 in its measure
∵ m∠DBC = 5(10) - 7
∴ m∠DBC = 50 - 7
∴ m∠DBC = 43°
X-6 = 15 / (-5)
x-6 = -3
x = -3+6
x = 3
