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3 years ago

Which of the following is the solution to lx+11| < 17 ?

Mathematics

1 answer:

maxonik [38]3 years ago

8 0

Answer:

B. x < 6 and x > -28

Step-by-step explanation:

|x + 11| < 17

-17 < x + 11 < 17

Subtract 11 from all 3 sides.

-28 < x < 6

x > -28 and x < 6

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A video game requires at least 4 points to advance. Each solved puzzle is worth two points. Each solved riddle is worth 1 point.

Gwar [14]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x -----> the number of solved puzzles

y -----> the number of solved riddles

we know that

$2x+y \geq 4$

The solution of the inequality is the shaded area above the solid line $2x+y=4$

The slope of the solid line is negative $m=-2$

The y-intercept of the solid line is the point (0,4)

The x-intercept of the solid line is the point (2,0)

therefore

The graph in the attached figure

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3 years ago

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Esteban has a big jar of change in his room. He has 600 coins total, and 240 of them are pennies. What percentage of the coins a

Minchanka [31]

40%
$\frac{240}{600} = \frac{ \times }{100 } \\ 240 \times 100 =600 \times \\ 24000 \div 600 \\ 40 = \times$

7 0

3 years ago

In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?

7nadin3 [17]

Correct answer is: distance from D to AB is 6cm

Solution:-

Let us assume E is the altitude drawn from D to AB.

Given that m∠ACB=120° and ABC is isosceles which means

m∠ABC=m∠BAC = $\frac{180-120}{2}=30$

And AC= BC

Let AC=BC=x

Then from ΔACD , cos(∠ACD) = $\frac{DC}{AC} =\frac{4}{x}$

Since DCB is a straight line m∠ACD+m∠ACB =180

m∠ACD = 180-m∠ACB = 60

Hence $cos(60)=\frac{4}{x}$

$x=\frac{4}{cos60}= 8$

Now let us consider ΔBDE, sin(∠DBE) = $\frac{DE}{DB} =\frac{DE}{DA+AB} = \frac{DE}{4+8}$

$DE = 12sin(30) = 6cm$

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3 years ago

What could the measure of the acute angles in a right triangle be?

Aleksandr [31]

25 and 65 because 90 and 90 makes a square

7 0

3 years ago

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2x-5 -------- = 2 8 (2x-5/8 = 2)

inysia [295]

Step-by-step explanation:

2×-5=-8 and 2×-5/8=-1.25

4 0

2 years ago

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