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kumpel [21]
3 years ago
7

Simplify the given expression below: (1 + 3) + (2 - 5i)

Mathematics
2 answers:
Airida [17]3 years ago
7 0

Answer:

6 -5i

Step-by-step explanation:

(1 + 3) + (2 - 5i)

Combine

1+3+2    -5i

6 -5i

ValentinkaMS [17]3 years ago
5 0

Answer:

6 -5i

Step-by-step explanation:

(1 + 3) + (2 - 5i)

Combine like terms

1+3+2    -5i

6 -5i

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Given: <br> ΔABC, m∠C = 90º, m∠B = 30º<br> CM - angle bisector<br><br> Find: m∠AMC
SashulF [63]

Answer:

75°

Step-by-step explanation:

1. Consider right triangle ABC. In this triangle

m∠C = 90º and CM - angle bisector.

If CM is angle C bisector, then

m∠ACM = m∠MCB = 45º

2. Consider triangle CMB. The sum of the measures of all interior angles of the triangle is always 180°, then

m∠MCB + m∠CBM + m∠BMC = 180°,

m∠BMC = 180° - 45° - 30°

m∠BMC = 105°

3. Angles AMC and BMC are supplementary angles, so

m∠AMC + m∠BMC = 180°

m∠AMC = 180° - 105°

m∠AMC = 75°

3 0
3 years ago
Evaluating expressions k3+j
mrs_skeptik [129]
The answer is 3k+j since 3 cannot be multiplied after k.
3 0
3 years ago
PLEASE HELP!!!! WORTH 20 points it’s all I have show all of your work!!!!!!!
stiv31 [10]

Answer:

Part A: [0,2], Part B: [2, 4], Part C: [8,10], Part D: 0 ft

Step-by-step explanation:

Part A:  The time between 0 seconds to 2 seconds is the time when it's increasing. There is no other time like that.

Part B: The graph shows a straight line so therefore it is staying the same.

Part C: The graph shows a sharp decline.

Part D: Starting from the 10th second, the balloon already hit to ground so it would only make sense for it to stay there...

8 0
3 years ago
_____ compare one quantity to 100.
Alexxx [7]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
Find all values of x (if any) where the tangent line to the graph of the given equation is horizontal. HINT [The tangent line is
Nostrana [21]
By "y = −9x2 − 2x" I assume you meant  <span>y = −9x^2 − 2x (the "^" symbol represents exponentiation).

Let's find the first derivative of y with respect to x:  dy/dx = -18x - 2.  This is equivalent to the slope of the tangent line to the (parabolic) curve.  Now let this derivative (slope) = 0 and solve for the critical value:  -18x - 2 = 0, or
-18x = 2.  Solving for x,   x = -2/18,    or    x = -1/9.

When x = -1/9, y = -9(-1/9)^2 - 2(-1/9).  This simplifies to y = -9/9 + 2/9, or 
y = -7/9.

The only point at which the tangent to the curve is horiz. is (-1/9,-7/9).</span>
6 0
3 years ago
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