3 years ago

Find the equation of the line that has a slope of 5 and passes through the point (-9,6)

Mathematics

1 answer:

Aleks [24]3 years ago

5 0

Answer:

y-6=5(x-(-9))

Step-by-step explanation:

y=5x+51 if u need y=mx+b. Plug and chug basically

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Use the method in the Example to find the square roots of 1 + √3i

kiruha [24]

Answer:

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

Step-by-step explanation:

Given

z = 1 + √3 i

Let $\sqrt{1+\sqrt(3) i}=p+iq$

Squaring both sides

$1+\sqrt(3) i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$1=p^2-q^2$ ...........................(1)

comparing Im(LHS)=Im(RHS)

√3=2pq

$q=\frac{\sqrt{3}}{2p}$

Substitute q in equation (1)

$1=p^2-(\frac{\sqrt{3}}{2p})^2$

$p^4-p^2-0.75=0$

Let $x=p^2$

$x^2-x-0.75=0$

$x=\dfrac{1\pm \sqrt{1^2+4\times 0.75}}{2}$

$x=\frac{1\pm 4}{2}$

we take only Positive value because $p^2=x$

x=2.5

$p^2=2.5$

thus $p=\pm 1.58$

$q=\pm 0.548$

thus,

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

5 0

3 years ago

Nadine bought the ingredients for 24 cupcakes for $5.60. She sold each cupcake for $1.30. She saved 25% of the profits and used

ololo11 [35]

The answer is C. 19.2

3 0

3 years ago

Write an equation of the line that passes through a pair of points (-5, -2) (3, -1)

Bess [88]

Answer:

y = 0.125x + -1.375

Step-by-step explanation:

You can try and use desmos.com to help you graph these 2 points. My algebra teacher recommended it if you don't have a physical graphing calculator!

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3 years ago

|-2 + 5 | - |3 - 12| - 13=

zavuch27 [327]

Answer:

-19

3 - 9 - 13 = -19

Step-by-step explanation:

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2 years ago

Is (-3,-5) a solution of the graphed inequality?<br> Choose 1 answer,<br> Yes<br> B<br> No

ArbitrLikvidat [17]

There’s not graph so if you could provide a graph

7 0

3 years ago