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3 years ago

Solve for this linear equation -3x+2c=-3

Mathematics

1 answer:

san4es73 [151]3 years ago

5 0

Step-by-step explanation:

-3x+2c = -3

-3 = -3x + 2c

3x = 2c + 3

x = (2c + 3)/3

You might be interested in

Which simplifications of the powers of i are correct?

OleMash [197]

The correct simplifications of powers of i are:

a. i^27=−i

d. i^8=1

e. i^5=i

Step-by-step explanation:

We know that

$i^2=-1\\i^3=-i\\i^4=1$

We can use the smaller powers of i to solve the larger powers.

a. i^27=−i

$i^{27}\\={i^{24}}.i^3\\={i^{4*6}}.-i\\=(i^4)^6.-i\ \ \ \ As\ we\ know\ i^4=1\\=(1)^6.-i\\=1*-i\\=-i$

b. i^28=i

$i^{28}\\=i^{4*7}\\=(i^4)^7\\=(1)^7\\=1$

c. i^14=1

$i^{14}\\=i^{12}.i^2\\=(i^{4*3}).i^2\\=> i^2=-1\\=(i^4)^3.-1\\=(1)^3*-1\\=-1$

d. i^8=1

$i^8\\=i^{4*2}\\=(i^4)^2\\=(1)^2\\=1$

e. i^5=i

$i^5\\=i^{2*2*1}\\=i^2*i^2*i\\=(-1)(-1)(i)\\=i$

Hence,

The correct simplifications of powers of i are:

a. i^27=−i

d. i^8=1

e. i^5=i

Keywords: Imaginary units, Iota

Learn more about imaginary units at:

#LearnwithBrainly

6 0

3 years ago

L1 and L2 are two straight lines. The origin of the coordinate axes is O. L1 has equation 5x + 10y = 8 L2 is perpendicular to L1

Ivenika [448]

Answer:

40 sq units

Step-by-step explanation:

$5x + 10y = 8\\\Rightarrow y=\dfrac{8-5x}{10}\\\Rightarrow y=-\dfrac{1}{2}x+\dfrac{2}{5}$

Slope of $L_2$ is $m_2$

$m_1m_2=-1\\\Rightarrow m_2=-\dfrac{1}{m_1}\\\Rightarrow m_2=-\dfrac{1}{-\dfrac{1}{2}}\\\Rightarrow m_2=2$

$L_2$ passes through point $(8,6)$

$y-6=2(x-8)\\\Rightarrow y=2x-16+6\\\Rightarrow y=2x-10$

Point at x axis where $L_2$ intersects is

$0=2x-10\\\Rightarrow x=\dfrac{10}{2}\\\Rightarrow x=5$

Point $A$ of the triangle will be $(5,0)$

$L_2$ intersects line $x=-3$ . The point is

$y=2\times(-3)-10\\\Rightarrow y=-6-10\\\Rightarrow y=-16$

The points of the triangle are $A(5,0), O(0,0), B(-3,-16)$

Area of triangle is given by

$A=\dfrac{|A_x(B_y-O_y)+B_x(A_y-O_y)+O_x(A_y-B_y)|}{2}\\\Rightarrow A=\dfrac{|5(-16-0)+-3(0-0)+0(0-(-16))|}{2}\\\Rightarrow A=40\ \text{sq units}$

The area of the triangle is 40 sq units.

6 0

3 years ago

Can you help calculate the percent of change plez?<br> 160; 2% decrease

VLD [36.1K]

160 - Percentage decrease =

160 - (2% × 160) =

160 - 2% × 160 =

(1 - 2%) × 160 =

(100% - 2%) × 160 =

98% × 160 =

98 ÷ 100 × 160 =

98 × 160 ÷ 100 =

15,680 ÷ 100 =

156.8

7 0

3 years ago

Read 2 more answers

3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3)

SOVA2 [1]

Answer: 3(2(8-2x4)+25divided by 5 )-(2(8 divided by 4x2)-7(7-2x3

The answer is 14

6 0

3 years ago

What is 1+1? I am very confused, is it 1, 0, or 3?

Yuri [45]

Answer:

1 + 1 = 2, if you are doing multiplication then it is 1 x 1 = 1

Step-by-step explanation:

8 0

3 years ago