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3 years ago

Which expression is equivalent to 2(x + 7) – 18x + = ?

Mathematics

1 answer:

Blizzard [7]3 years ago

8 0

Answer:

-16x + 14 or 2(7-8x)

Step-by-step explanation:

= 2(x + 7) – 18x

= 2x + 14 -18x

= -16x + 14

= 2(7-8x)

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Find the Point where the two lines intersect each other. What are the coordinates of this point?

kompoz [17]

Answer:

B. and D.

Step-by-step explanation:

4 0

3 years ago

Let alpha and beta be conjugate complex numbers such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}

miskamm [114]

Answer:

$-3+i\sqrt{3} , 1+\sqrt{3}$

Step-by-step explanation:

Given that alpha and beta be conjugate complex numbers

such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}.

Let

$\alpha = x+iy\\\beta = x-iy$

since they are conjugates

$\alpha-\beta = x+iy-(x-iy)\\= 2iy= 2i\sqrt{3} \\y =\sqrt{3}$

$\frac{\alpha}{\beta^2} }\\=\frac{x+i\sqrt{3} }{(x-i\sqrt{3})^2} \\=\frac{x+i\sqrt{3}}{x^2-3-2i\sqrt{3}} \\=\frac{x+i\sqrt{3}((x^2-3+2i\sqrt{3}) }{(x^2-3-2i\sqrt{3)}(x^2-3-2i\sqrt{3})}$

Imaginary part of the above =0

i.e. $\sqrt{3} (x^2-3)+2x\sqrt{3} =0\\x^2+2x-3=0\\(x+3)(x-1) =0\\x=-3,1$

So the value of alpha = $-3+i\sqrt{3} , 1+\sqrt{3}$

3 0

3 years ago

If A= (7,9) and B= (3,12) what is the length of AB?

MissTica

The length can be found using the Pythagorean Theorem...

c^2=a^2+b^2 and in this case:

d^2=(dx^2)+(dy^2)

d^2=(3-7)^2+(12-9)^2

d^2=-4^2+3^2

d^2=16+9

d^2=25

d=5

So the length of AB=5 units.

8 0

3 years ago

Read 2 more answers

A pitcher allowed 8 runs in 24 innings how many did he allow in 40

vichka [17]

40/5=8

The pitcher allowed 8 runs in 40 innings.

7 0

3 years ago

Plz show work to get brainliest

gogolik [260]

Answer:

45 students speak Spanish at Francis Lewis High School

Step-by-step explanation:

Option1:

$\frac{72}{400} = \frac{x}{250}$

18000 = 400x

x = 45 students speak Spanish at Francis Lewis High School

Option2:

72 ÷ 400 = 0.18

0.18 * 250 = 45 students speak Spanish at Francis Lewis High School

4 0

3 years ago