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2 years ago

Determine if the following side lengths could form a triangle.

Mathematics

1 answer:

kykrilka [37]2 years ago

4 0

Answer: Determine if the following side lengths could form a triangle.

Prove your answer with an inequality.

8,17,24

Step-by-step explanation:

Determine if the following side lengths could form a triangle.

Prove your answer with an inequality.

8,17,24

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X + y = -1<br> 4x - 2y = -16

djyliett [7]

Answer:

$x=-3 \\and\\ y=2$

Step-by-step explanation:

$x + y = -1$ Equation:1

$4x - 2y = -16$ Equation:2

Solving Equation:1

$x+y=-1$

Subtracting 'y' from both the sides:

$x+y-y=-1-y\\\\x=-1-y$

Putting 'x' in Equation :2

$4(-1-y)-2y=-16\\\\-4-4y-2y=-16\\\\-4-6y=-16$

Adding '4' both the sides

$-6y=-16+4\\\\-6y=-12\\\\y=-12/-6\\\\y=2$

Putting the value of 'y' in equation:1

$x+y=-1$

$x+(2)=-1\\\\x=-1-2\\\\x=-3\\$

The solution is:

$x=-3 \\and\\ y=2$

6 0

2 years ago

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0

3 years ago

Please look at picture

Natasha2012 [34]

Answer:

32%

The probability according to these results is 32% because 25 people ordered a cold drink. 8 of those were smalls. 8 divided by 25 is 0.32 which is the percentage of a 100% chance aka 32%

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2 years ago

Translate the sentence into an equation.

emmasim [6.3K]

Answer:

6x + 9 = 4

Step-by-step explanation:

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11 months ago

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