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Zolol [24]
3 years ago
8

1. You make a compound word, such as houseboat, by joining two words together. Why do you think -4 < x < 7 is called a com

pound inequality?
2. The intersection of two roads is the place where the roads cross. How would you define the intersection of two groups of objects?
Mathematics
1 answer:
sattari [20]3 years ago
8 0

Answer:

because it has two parts

Step-by-step explanation:

thats what the first one is

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PLEASE HELP ILL GIVE BRAINLIEST
dusya [7]

1)

(-2+\sqrt{-5})^2\implies (-2+\sqrt{-1\cdot 5})^2\implies (-2+\sqrt{-1}\sqrt{5})^2\implies (-2+i\sqrt{5})^2 \\\\\\ (-2+i\sqrt{5})(-2+i\sqrt{5})\implies +4-2i\sqrt{5}-2i\sqrt{5}+(i\sqrt{5})^2 \\\\\\ 4-4i\sqrt{5}+[i^2(\sqrt{5})^2]\implies 4-4i\sqrt{5}+[-1\cdot 5] \\\\\\ 4-4i\sqrt{5}-5\implies -1-4i\sqrt{5}

3)

let's recall that the conjugate of any pair a + b is simply the same pair with a different sign, namely a - b and the reverse is also true, let's also recall that i² = -1.

\cfrac{6-7i}{1-2i}\implies \stackrel{\textit{multiplying both sides by the denominator's conjugate}}{\cfrac{6-7i}{1-2i}\cdot \cfrac{1+2i}{1+2i}\implies \cfrac{(6-7i)(1+2i)}{\underset{\textit{difference of squares}}{(1-2i)(1+2i)}}} \\\\\\ \cfrac{(6-7i)(1+2i)}{1^2-(2i)^2}\implies \cfrac{6-12i-7i-14i^2}{1-(2^2i^2)}\implies \cfrac{6-19i-14(-1)}{1-[4(-1)]} \\\\\\ \cfrac{6-19i+14}{1-(-4)}\implies \cfrac{20-19i}{1+4}\implies \cfrac{20-19i}{5}\implies \cfrac{20}{5}-\cfrac{19i}{5}\implies 4-\cfrac{19i}{5}

7 0
2 years ago
Read 2 more answers
Sophie has 60 pencils.
dangina [55]

Answer:

30

Step-by-step explanation:

Because of the following statement is not true no.of atoms

4 0
2 years ago
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Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).
Advocard [28]
1. find equation

general solutions are:
y = a x^{2} +bx +c \\ \\ \frac{dy}{dx} = 2ax +b

for P(0,-11)

-11 = 0a + 0b +c ⇒c = -11

for p(1,-13)
-13 = 1a + 1b -11 \\ a+b = -2

and

0 = 2a + b \\ b = -2a

solve for a and b:
a - 2a = -2 \\ a = 2 \\ b = -4

the total equation is now:

y = 2 x^{2} -4x -11

To find the x-intercept set y=0 and solve for x

0 = 2 x^{2} -4x-11
4 0
3 years ago
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Five more than the product of a number and 9 is equal to 8
Zinaida [17]

Answer:

What is the question?

Step-by-step explanation:

8 0
2 years ago
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Area and perimeter of geometric functions
SCORPION-xisa [38]

Answer:

C. 60

Step-by-step explanation:

From triangle ADB,

|AD|^2+|BD|^2=|AB|^2

|AD|^2+16^2=20^2

|AD|^2=20^2-16^2

|AD|^2=400-256

|AD|^2=144

|AD|=\sqrt{144}

|AD|=12

From triangle ADC,

|CD|^2+12^2=15^2

|CD|^2+144=225

|CD|^2=225-144

|CD|^2=81

|CD|=9

The perimeter is the distance around the figure.

The perimeter

=15+20+16+9

=60

8 0
3 years ago
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