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azamat
3 years ago
9

Simplify the expression: (3 − 4i) + (7 − 6i).

Mathematics
2 answers:
alisha [4.7K]3 years ago
8 0

Answer:

<h3>10-10i</h3>

Step-by-step explanation:

Isolate i on one side of the equation.

(3-4i)+(7-6i)

<em><u>DISTRIBUTIVE PROPERTY:</u></em>

A(B+C)=AB+AC

A(B-C)=AB-AC

(A+BI)±(C+DI)=(A±C)+(B±D)I

(3+7)+(-4-6)i (Solve.)

7+3=10

-4-6i=-10

10-10i

Therefore, the final answer is 10-10i.

andrew11 [14]3 years ago
3 0
=10-10i
Explanation:
3-4i+7-6i
(Add 3 and 7)
(Add -4i and -6i)
Put together
10-10i
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What is true about the complex number -5 - 5i?
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Answer:

B: quadrant 3

D: 5sqrt2

Step-by-step explanation:

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3 years ago
Find an equation of the tangent line to the curve 2(x2+y2)2=25(x2−y2) (a lemniscate) at the point (−3,1). An equation of the tan
valina [46]

2(x^2+y^2)^2=25(x^2-y^2)

Let y=y(x), so that differentiating both sides wrt x gives

4(x^2+y^2)\left(2x+2y\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(2x-2y\dfrac{\mathrm dy}{\mathrm dx}\right)

If x=-3 and y=1, the above reduces to

40\left(-6+2\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(-6-2\dfrac{\mathrm dy}{\mathrm dx}\right)\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac9{13}

This is the slope of the tangent line, which has equation

y-1=\dfrac9{13}(x+3)\implies\boxed{y=\dfrac{9x+40}{13}}

7 0
3 years ago
Sue's Sushi placed two orders with its fish supplier. One order was for 11 pounds of salmon and 6 pounds of tuna; the order tota
yawa3891 [41]
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3 years ago
What is the solution to this system of equations y=x-2 y=-0.5x+4
gladu [14]

Answer:

Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.

x-2=-0.5x+4x−2=−0.5x+4

2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.

x=4x=4

3 Substitute x=4x=4 into y=x-2y=x−2.

y=2y=2

4 Therefore,

\begin{aligned}&x=4\\&y=2\end{aligned}

​

​

​​  

​x=4

​y=2

​​  

Step-by-step explanation:

6 0
2 years ago
Given ADEF: ARST, find the scale factor
Deffense [45]

Answer:

the scale factor is 3/4

x = 16×3/4 = 12

Step-by-step explanation:

the only side length we have for both triangles is the short left side.

we see that we get ED from SR and need to transform 4 into 3. how do we do that ?

well,

4×f = 3

f = 3/4

that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).

therefore,

x = EF = ST×f = 16×3/4 = 4×3 = 12

4 0
3 years ago
Read 2 more answers
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