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3 years ago

What is the equation of the graph in slope-intercept form?

Mathematics

1 answer:

Slav-nsk [51]3 years ago

7 0

The answer is B y=4x-6

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The complex number _______ lies in the shaded area of the graph. The complex number _______ does not lie in the shaded area.

Anastaziya [24]

Think of imaginary numbers on a complex plane as coordinates - take the real part, that's the x coordinate, the imaginary part that's the y coordinate.

Therefore, for the first blank, -1+3i lies in the shaded area, because its coordinates are (-1,3).
And following on from that for the second one, -4i does not lie in the shaded area, since its coordinates are (0,-4).

Tl;dr is taking a complex number a+bi and placing it on a complex plane, it will have coordinates (a,b)

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B%20x%5E%7B2%7D-10x%2B25%7D%2B25%2B12%5Csqrt%7Bx%7D%20%3D15%5Csqrt%7Bx%7D" id="TexFor

vodomira [7]

Step-by-step explanation:

$\sqrt{ x^{2}-10x+25}+25+12\sqrt{x} =15\sqrt{x} \\ \\ \therefore \: \sqrt{ x^{2}-10x+ {5}^{2} }+25 =15\sqrt{x} - 12\sqrt{x}\\ \\ \therefore \: \sqrt{( x - 5)^{2}}+25 =3\sqrt{x} \\ \\ \therefore \: x - 5+ 25 = 3 \sqrt{x} \\ \\ \therefore \: x + 20 = 3 \sqrt{x} \\ \\ squaring \: both \: sides \\ (x + 20)^{2} = ( {3 \sqrt{x} })^{2} \\ \therefore \: {x}^{2} + 40x + 400 = 9x \\ \therefore \: {x}^{2} + 40x + 400 - 9x = 0 \\ \therefore \: {x}^{2} + 31x + 400 = 0 \\$

8 0

4 years ago

4m≥m+9>-9+4m<br> Please answer urgent

Vsevolod [243]

Next time, please include the instructions.

This inequality could be broken into two parts:

4m $\geq$ m + 9 AND m + 9 > -9 + 4m

Focus first on the inequality m + 9 > -9 + 4m. subtract m from both sides, obtaining:

9 > -9 + 3m. Next, add 9 to both sides, obtaining: 18>3m, or m<6

Last step: Determine whether the inequality <span>4m≥m+9 is true if m<6.</span>

5 0

3 years ago

Which is greater .9% or 1%

lubasha [3.4K]

Answer:

Step-by-step explanation:

I assume since it’s .9% it’s less then 1%

3 0

3 years ago

The perimeter of a swimmingpool is 78 feet. The difference between four times the length and the width is 73.5 feet. What are th

Marianna [84]

Answer:

Length is 22.5 ft

Width is 16.5 ft

Step-by-step explanation:

4L-w=73.5

4L=73.5+w

L=(73.5+w)/4

P=78

P=2L+2w

78=2[(73.5+w)/4]+2w

78=(73.5+w)/2+2w

78=(73.5+w+4w)/2

2•78=73.5+5w

156=73.5+5w

156-73.5=5w

82.5=5w

82.5/5=w

16.5=w

L=(73.5+w)/4

=(73.5+16.5)/4

=90/4

L=22.5

3 0

3 years ago