Answer:
slope: -3
y-intercept: 5
Step-by-step explanation:
y=mx+b, where m=slope and b=y-intercept
Answer:
A = 48 square units
Step-by-step explanation:
The dimensions between two markings on the coordinate plane = 2 unit
The trapezoid is located sideways
The area of a trapezoid, A = ((a + b)/2) × h
Where;
a = The long base side
b = The short base side
h = The height
The long base side length AT = 4 space between markings = 4 × 2 units = 8 units
The short base side length SR = 2 space between markings = 2 × 2 units = 4 units
The height, h = 4 space between markings = 4 × 2 units = 8 units
The area of the trapezoid, A = ((4 unit + 8 unit)/2) × 8 unit = 48 square units.
Answer:
1∠22.5°, 1∠112.5°, 1∠202.5°, 1∠292.5°
Step-by-step explanation:
A root of a complex number can be found using Euler's identity.
<h3>Application</h3>
For some z = a·e^(ix), the n-th root is ...
z = (a^(1/n))·e^(i(x/n))
Here, we have z = i, so a = 1 and z = π/2 +2kπ.
Using r∠θ notation, this is ...
i = 1∠(90° +k·360°)
and
i^(1/4) = (1^(1/4))∠((90° +k·360°)/4)
i^(1/4) = 1∠(22.5° +k·90°)
For k = 0 to 3, we have ...
for k = 0, first root = 1∠22.5°
for k = 1, second root = 1∠112.5°
for k = 2, third root = 1∠202.5°
for k = 3, fourth root = 1∠292.5°
Answer:
The x-intercept is (18/5, 0).
The y-intercept is (0,-2).
Step-by-step explanation:
To find the <u>x-intercept</u>, sub y for 0.
-5x + 9y = -18
-5x + 9(0) = -18
Simplify and isolate x.
-5x = -18 <= Divide both sides by -5
x = 18/5
Since we substituted y for 0, y=0.
(18/5, 0)
To find the <u>y-intercept</u>, sub x for 0.
-5x + 9y = -18
-5(0) + 9y = -18
Simplify and isolate y.
9y = -18 <= Divide both sides by 9
y = -2
Since we substituted x for 0, x=0.
(0,-2)
Answer:
Please find attached
Step-by-step explanation:
