Multiply both sides by 2 to clear the fraction.
-3x + 6 <= 24
subtract 6 from both sides.
-3 x <= 18
divide both sides by -3, since you're dividing an inequality by a negative number you have to change the direction of the inequality sign.
x >= -6

3 0

3 years ago

What is the equation of the line? It’s iReady please help meeeehh

anyanavicka [17]

The answer I think is Y= 2x-4
Start on the x axis then read the y axis , because the line goes through on the left it would be -

8 0

3 years ago

Solve for all three unknowns

Rina8888 [55]

Answer:

x= 32.3 (3 s.f.)

θ= 21.8° (1 d.p.)

α= 68.2° (1 d.p.)

Step-by-step explanation:

Applying Pythagoras' Theorem,

x²= 12² +30²

x²= 144 +900

x²= 1044

Square root both sides:

$x = \sqrt{1044}$

x= 32.3 (3s.f.)

$\boxed{ \tanθ = \frac{opp}{adj} }$

$\tanθ = \frac{12}{30}$

$θ = \tan^{ - 1} ( \frac{12}{30} )$

θ= 21.801° (3 d.p.)

θ= 21.8° (1 d.p.)

$\tan\alpha = \frac{30}{12}$

$\alpha = \tan ^{ - 1} ( \frac{30}{12} )$

$\alpha$ = 68.2° (1 d.p.)

Alternatively,

α +θ +90°= 180° (∠ sum of triangle)

α +21.801° +90°= 180°

α +111.801°= 180°

α= 180° -111.801°

α= 68.199°

α= 68.2° (1 d.p.)

5 0

3 years ago

In order to meet health and safety requirements, the arena calculates how many security staff it will need at an event by using

sertanlavr [38]

10500/100 = 105 security staff

3 0

4 years ago

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