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3 years ago

What is the solution to a system whose equations are parallel?

1 answer:

7 0

One solution- if the graphs of the equations intersect, then there is one solution that is true for both solutions.

No solutions- If the graphs of the equation do not intersect (example-if they are parallel) there are no solutions that there are true for both equations.
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What is the area and perimeter for these two shapes?

Lubov Fominskaja [6]

A:
Area: 289 m
Perimeter: 51 m

B:
Area: 4 m
Perimeter: 8 m

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2 years ago

I'm not sure how to do the top part , so far I flipped a sample of ten coins three times

Firdavs [7]

Basically, you just want to keep flipping a coin a total of 10 times, 27 more times. (If that makes any sense) You also want to keep recording the number of heads in each set of 10.

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3 years ago

Which equation is equivalent to √x^2+81 = x+10

jeka57 [31]

Keywords:

<em>equation, operations, equivalent, binomial, square root </em>

For this case we have an equation in which we must apply operations to rewrite it in an equivalent way. We must start by raising both sides of the equation to the square. Thus, we eliminate the square root of the left side of equality and finally solve the binomial of the right side of equality.

So we have:

$\sqrt {x ^ 2 + 81} = x + 10\\(\sqrt {x ^ 2 + 81}) ^ 2 = (x + 10) ^ 2\\x ^ 2 + 81 = (x + 10) ^ 2$

By definition: $(a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2$

$x ^ 2 + 81 = x ^ 2 + 2 (x) (10) + (10) ^ 2\\x ^ 2 + 81 = x ^ 2 + 20x +100$

Thus, $x ^ 2 + 81 = x ^ 2 + 20x +100$ is equivalent to $\sqrt {x ^ 2 + 81} = x + 10$

Answer:

$x ^ 2 + 81 = x ^ 2 + 20x +100$

Option D

4 0

3 years ago

Read 2 more answers

Of the 50 students in an undergraduate statistics class, 60% send email and/or text messages during any given lecture. They have

sasho [114]

Answer:

0.3 or 30%

Step-by-step explanation:

Since no innocent student will ever be caught, the probability that a student sends an email and/or text message during a lecture AND gets caught is given by the product of the probability of a student sending a message (60%) by the probability of the professor catching them (50%) :

$P = 0.5*0.6 = 0.3$

The probability is 0.3 or 30%.

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3 years ago

Ben says the angle is an acute angle. Jeff says the angle is less than a straight angle. Explain whether their statements are co

Dahasolnce [82]

Answer:

sometimes, if their average angle is over 45 degrees

never are 2 obtuse angles summing to 180 degrees

always. two 90 degree angles always sum to 180 which is a straight line

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2 years ago