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2 years ago

Graph the inequality in the coordinate plane: x<-3

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

8 0

Answer:

Graph of the inequality x< -3 as shown below in the figure.

Step-by-step explanation:

Given the inequality: x < -3

Graph of this inequality as shown below in the figure.

All the points that are lie in the shaded area satisfy the equation x < -3 or

In other words, we can say that x can take any value less than -3 .

x ≠ -3 or any number that is greater than -3.

Since there is a strict inequality i.e x < -3 , the points that lie on the line x = -3 does not satisfy the equation.

Therefore, the dotted line is marked at x = -3

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From the top of a cliff, which is 120 meters above the water, tha angle of depression of a boat on the water is 18°. How far is

harina [27]

To find how far the boat is from the bottom of the cliff is you’ll use tan;

Tan18degrees=120/x

x=120/tan18degrees

x=369m

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3 years ago

A school director Must randomly select 6 teachers to participate in a training session there are 30 teachers at the school in ho

Ede4ka [16]

Solution:

we are given that

A school director Must randomly select 6 teachers to participate in a training session there are 30 teachers at the schoo. The order of selection does not matter.

As we know

6 teacheras can be selected out of 30 teacher in ${30}_C_6$ ways.

${30}_C_6=\frac{30!}{6!24!}\\
\\ {30}_C_6=\frac{25*26*27*28*29*30}{1*2*3*4*5*6}\\
\\ {30}_C_6=593775$

Hence the required number of ways is 593775.

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2 years ago

It's a question from real and complex numbers which I can't solve. so someone PLZ HeLp

Semmy [17]

Answer:

$\frac{1}{5}$

Step-by-step explanation:

Using the rules of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ , $\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$ , $(a^m)^{n}$ = $a^{mn}$

Simplifying the product of the first 2 terms

$\frac{a^{p^2+pq} }{a^{pq+q^2} }$ × $\frac{a^{q^2+qr} }{a^{qr+r^2} }$

= $a^{p^2-q^2}$ × $a^{q^2-r^2}$

= $a^{p^2-r^2}$

Simplifying the third term

5( $(a^p+r)^{p-r}$

= 5 $a^{(p+r)(p-r)}$ = 5 $a^{(p^2-r^2)}$

Performing the division, that is

$\frac{a^{(p^2-r^2)} }{5a^{(p^2-r^2)} }$ ← cancel $a^{(p^2-r^2)}$ on numerator/ denominator leaves

= $\frac{1}{5}$

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3 years ago

Put this equation into slope- intercept form. -2x + 3y = 9

AveGali [126]

Answer:

y = 2/3x + 3

Step-by-step explanation:

In order to put it in slope intercept form (y = mx + b), y needs to be isolated.

Add 2x to both sides:

-2x + 3y = 9

3y = 2x + 9

Then, divide both sides of the equation by 3.

3y = 2x + 9

y = 2/3x + 3 is the equation in slope intercept form

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2 years ago

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3 years ago