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3 years ago

9

(6x+y)(6x-7) What is the answer?

1 answer:

lys-0071 [83]3 years ago

6 0

= 6x + 6x - 6x × 7 + 6xy - 7y

36x2 - 42x + 6xy - 7y

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Which of the following trigonometric expressions is equivalent to csc(-112°)? csc(68°)

Romashka-Z-Leto [24]

Answer:

csc(-112°)=-csc(68°)

Step-by-step explanation:

Since cosec(x) and sin(x) are reciprocals of each other,

cosec(-112°)= $\frac{1}{sin(-112^{\circ})}$

= $\frac{1}{-sin(112^{\circ})}$

= $\frac{1}{-sin(180^{\circ}-68^{\circ})}$ (since 112=180-68)

= $\frac{1}{-sin(68^{\circ})}$ (since sin(180-x)=sinx)

= $\frac{-1}{sin(68^{\circ})}$ (since $\frac{a}{-b}= \frac{-a}{b}$ )

=-cosec(68°)

4 0

4 years ago

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Values of 1/64 check all that apply

xenn [34]

Answer:

there r many values of such fractions just see whether one of it's multiple match with the options like

Step-by-step explanation:

4 0

3 years ago

2. a) How many milliseconds (ms) are in 1 second? 1. b) How many microseconds (μs) are in 1 second? 2. c) How many nanoseconds (

olchik [2.2K]

Answer and explanation:

a) How many milliseconds (ms) are in 1 second?

1 second = 1000 milliseconds

1 second = $10^3$ milliseconds

b) How many microseconds (μs) are in 1 second?

1 second = 1000000 microseconds

1 second = $10^6$ microseconds

c) How many nanoseconds (ns) are in 1 millisecond?

1 millisecond = 1000000 nanoseconds

1 millisecond = $10^6$ nanoseconds

d) How many microseconds are in 1 millisecond?

1 millisecond = 1000 microseconds

1 millisecond = $10^3$ microseconds

e) How many nanoseconds are in 1 microsecond?

1 microsecond = 1000 nanoseconds

1 microsecond = $10^3$ nanoseconds

f) How many kilobytes (KB) are in 1 gigabyte (GB)?

1 gigabyte = 1000000 kilobytes

1 gigabyte = $10^6$ kilobytes

g) How many kilobytes are in 1 megabyte (MB)?

1 megabyte = 1000 kilobytes

1 megabyte = $10^3$ kilobytes

h) How many megabytes are in 1 gigabyte?

1 gigabyte = 1000 megabytes

1 gigabyte = $10^3$ megabytes

i) How many bytes are in 20 megabytes?

1 megabytes = 1000000 bytes

20 megabytes = 20000000 bytes

20 megabytes = $2\times 10^7$ bytes

j) How many kilobytes are in 2 gigabytes?

1 megabyte = 1000 kilobytes

2 megabyte = 2000 kilobytes

2 megabyte = $2\times 10^3$ kilobytes

4 0

4 years ago

If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

4 0

3 years ago

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Which number is equal to 15 a)0.015 b)1.5 c)150/100 d)3/20

myrzilka [38]

Answer:

c

Step-by-step explanation:

5 0

3 years ago

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