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fgiga [73]
3 years ago
5

Which inequality has -12 in its solution set?

Mathematics
1 answer:
enot [183]3 years ago
4 0

Answer:

D) x+5\leq -4

Step-by-step explanation:

We solve each of the inequalities

Option A

x+6

Option B

x+4\geq -6

x\geq -6-4\\x\geq-10

Option C

x-3>-10\\x>-10+3\\x>-7

Option D

x+5\leq -4

x\leq -4-5\\x\leq -9

Therefore, only option D has -12 in its solution set.

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Anyone that can help me with this please?Not soo good at math.​
kakasveta [241]

As it is right angled , we can use pythagoras theorem.

Using the therorem :

(x+2)² + (4x+4)² = (5x)²

x² + 4x + 4 + 16x² + 32x + 16 = 25x²

25x² - 17x² - 36x - 20 = 0

8x² - 36x - 20 = 0

2x² - 9x - 5 = 0

2x² -10x + x - 5 =0

2x(x-5) + 1(x-5) =0

(x-5)(2x+1) = 0

x = 5 or x = -1/2

x cannot be -1/2 as it would make hypotenuse negative.

So x = 5

Sides are 7 m, 24 m , 25 m

The area = 1/2 × base × height

Area = 1/2 × 24 × 7 = 84 m²

5 0
3 years ago
Read 2 more answers
Lucy has 1/5 of a pound of chocolates. She would like to make 4 gift bags with chocolates for her teachers.
Lapatulllka [165]

Answer:

0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag

Step-by-step explanation:

1/5 divided by 4

=0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag

-----------------------------------------------------------------------------------------------------------------

<h3><em><u>Hope this helped!! </u></em></h3>
3 0
3 years ago
26. Which of the following DO NOT illustrates independent events?
AlexFokin [52]

Answer:

  C. obtaining an even number when rolling a die

Step-by-step explanation:

Two events are independent when neither depends on the other. That is, the probability that one occurs is not affected by the occurrence, or lack of occurrence, of the other event. Their joint probability is the product of their individual probabilities.

__

Among the answer choices, all describe two independent events except C. Choice C describes one (1) event, so does NOT illustrate independent events.

4 0
2 years ago
Really need help on this
MariettaO [177]

Answer:

all real numbers

Step-by-step explanation:

it goes on forever

3 0
3 years ago
Read 2 more answers
Please help im so confused and i will mark you brainliest
wel

Answer:

x = 42.4 ft.

Step-by-step explanation:

sin\ 45=\frac{x}{60}\\\\x=60*sin45\\x=42.4\ ft

8 0
3 years ago
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