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3 years ago

18. Solve the quadratic equation by using the graph. Look at screenshot

Mathematics

1 answer:

Rasek [7]3 years ago

3 0

Step-by-step explanation:

As seen from the graph, the curve crosses the x-axis when x = -1 and x = 1. The y-intercept of the curve is -1.

Hence, the quadratic equation of the curve is y = x^2 - 1.

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Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.

Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers $a$ and $b$ whose sum is a prime number $p$ , that their greatest common divisor is greater than 1.

$a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\$

Since $p$ is a prime number and $d>1$ , then $d=p \wedge e+f=1$ , but we assumed earlier that $e,f\in\mathbb{Z^+}$ , and there are no two positive integers that sum up to 1.

q.e.d.

7 0

2 years ago

What is the definition of an average?

uranmaximum [27]

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Answer:

Average: a calculated "central" value of a set of numbers

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How to find it in the average:

Add all of the numbers given, then divide by the number of digits.

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Example:

Question 1. ) Find the average of the digits.

10, 12, 7, 9, 14, 8, 5, 19

Step 1. Add all of the numbers - 70

Step 2. Count how many different numbers there are - 8

Step 3. Take your first answer and your second and divide them

Step 4. 70 ÷ 8 = 8.75 So 8.75 would be the average

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4 0

1 year ago

Read 2 more answers

I need an explanation on how to do this and an answer, please.

Fudgin [204]

Answer:

111°

Step-by-step explanation:

the angle is question is an alternate-interior angle with the one labeled as 111° and alt-int angles are congruent

3 0

2 years ago

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How do I solve 6x—20=

REY [17]

Answer:

Can not be determined

Step-by-step explanation:

regularly, you would +20 to both sides, but without a full =, you cant solve. If the equation is 6x-20=0, x would equal 3 2/6.

Hope this helps!

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3 years ago

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Which of the following are exterior angles?Check all that apply. Help asap plz

ddd [48]

Angle 6, angle 4, angle 3, and angle 2 are all exterior angles.

Hope this helps!

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3 years ago

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