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3 years ago

7-4i divided by 2+i how to solve it?

1 answer:

8 0

$\cfrac{7-4i}{2+i}\\\\ = \cfrac{(7-4i)(2-i)}{(2+i)(2-i)} \\\\ =\cfrac{14-7i-8i-4}{4+1} \\\\= \cfrac{10-15i}{5} \\\\= \cfrac{5(2-3i)}{5} \\\\=2-3i$

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Which kind if triangle is shown? (1point)

Salsk061 [2.6K]

Hey there! :D

None of the sides are equal. We can tell this by just looking at it. If the side BC was a straight side, it would be a right triangle, but it is not. It doesn't have any right angles.

It is a scalene triangle. It has no equal sides and no equal angles.

I hope this helps!
~kaikers

6 0

3 years ago

A(x, 1), B(5,3) and C(4,-3) are the vertices of triangle ABC. If AB=AC, find the value of x

Molodets [167]

$\\ \rm\longmapsto AB=AC$

$\\ \rm\longmapsto \sqrt{(x-5)^2+(1-5)^2}=\sqrt{(x-4)^2+(1+3)^2}$

$\\ \rm\longmapsto (x-5)^2+(-2)^2=(x-4)^2+4^2$

$\\ \rm\longmapsto (x-5)^2+4=(x-4)^2+16$

$\\ \rm\longmapsto (x-5)^2-(x-4)^2=16-4=12$

$\\ \rm\longmapsto x^2-10x+25-x^2+8x-16=12$

$\\ \rm\longmapsto -2x+9=12$

$\\ \rm\longmapsto -2x=12-9=3$

$\\ \rm\longmapsto x=\dfrac{3}{-2}=-1.5$

5 0

3 years ago

Read 2 more answers

Dan was thinking of a number. Dan adds 10 to it, then doubles it and gets an answer of 56.6. What was the original number

evablogger [386]

Answer:

23.3 is the answer to this question

3 0

3 years ago

The data below shows the points scored and minutes played by six basketball players during the 2004-2005 season. The least squar

k0ka [10]

We assume data and prediction as question is incomplete

Answer and Step-by-step explanation:

Least squares regression line equations are used to model the relationship that exists between two variables, dependent and independent variables. The equation has the form y=a+bx where y is the dependent variable and x is independent variable, a is a constant and is the y intercept and b is the slope of the line. This relationship is then used to predict future outcomes.

Given that data for 2004-2005 for the basketball players are :

James- 20 points

John- 30 points

Chris- 50 points

Dave-15 points

Donaldson- 32 points

Richard -40 points

We predict the scores/points for James (for example) for the following year using the equation of the regression line y=0.79x+1544

We substitute his points x=20 I'm the equation:

Y=0.79*20+1544

=1599.8

The predicted value is 1599.8

5 0

3 years ago

nevsk [136]

B. 0

Explanation: at sea level is 0, below sea level would be a negative such as -2, and above sea level is any number above zero, such as 2.

3 0

2 years ago