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ipn [44]
3 years ago
7

What is the vertex of the quadratic function f(x) = (x - 8)(x - 2)

Mathematics
2 answers:
Anna11 [10]3 years ago
7 0
Good day ~_~ /////////////

serious [3.7K]3 years ago
7 0

Answer: (5, -9)

What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?

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The length of the sides of a triangle is given. Determine
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Answer:

The triangle is a right triangle

Step-by-step explanation:

For the triangle to be right, Pythagoras’ theorem must be obeyed

According to the theorem, the square of the longest side (the hypotenuse) equals the sum of the squares of the two other sides

Now, from the given side lengths, the highest value is 10;

squaring this, we have 10^2 = 100

Squaring and adding the other values, we have

6^2 + 8^2 = 36 + 64 = 100

This mean the values are equal and the Pythagoras’ theorem is obeyed

Hence, we can conclude that the triangle with the given side lengths is a right triangle

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3 years ago
Multiply. Reduce if possible, if you can simplify, what is the GCF you used ? what is 3/7 x 2/4
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Answer:

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Step-by-step explanation:

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3 years ago
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Help solving this math problem
daser333 [38]

Diagram of two triangles

The two triangles are similar because they are both right triangles, meaning that one angle is 90° and the other two are acute (less than 90°).

The diagram on the left is missing its hypotenuse - the variable <em>c</em><em>.</em><em> </em>The hypotenuse is opposite of the right angle. The diagram on the right side is missing one of its legs.

Note: The hypotenuse is the <em>longest</em><em> </em>side of a right triangle.

Word Problen

The legs are 21 blocks and 20 blocks because they are by the right angle. Use the Pythagorean theorem to find the diagonal path's length, which is the hypotenuse.

{a}^{2}  +  {b}^{2}  =  {c}^{2}

Standard form of Pythagorean theorem.

{21}^{2}  +  {20}^{2}  =  {c}^{2}

Equation with the legs substituted and the missing hypotenuse value - <em> </em><em>c</em><em>.</em>

841 =  {c}^{2}

Square the legs and add.

\sqrt{841}  = c

29 = c

Take the square root and simplify. The square root of 841 is 29 and -29, but distance is positive.

Thus the diagonal distance is 29 blocks.

Check by substituting.

5 0
3 years ago
Best answer will get Five stars and a crown
kupik [55]

Answer:

x ∈ R,a=1

Step-by-step explanation:

i believe this is the answer but i am not 100% sure

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2 years ago
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Y+5=(x+7) in slope-intercept form
Sladkaya [172]

Answer:

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Step-by-step explanation:

(x)/(7)+(y)/(5)=2

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