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3 years ago

Guided Practice

Mathematics

1 answer:

Anna11 [10]3 years ago

5 0

Use a graphing calculator

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Rewrite this standard form quadratic equation into vertex form by completing the square. Upload your work here to show your thin

Alex787 [66]

Solution :

Given the equation :

$y = x^2 - 6x+3$

$y=1(x^2 - 6x +n)+3$

$n = \left(\frac{b}{2}\right)^2$

$n = \left(\frac{6}{2}\right)^2$

n = 9

$y=1(x^2 - 6x +9-9)+3$

$y=1(x^2 - 6x +9)-9+3$

$y=1(x-3)^2- 6$

Therefore the vertex form of $y = x^2 - 6x+3$ is $y=1(x-3)^2- 6$ .

3 0

2 years ago

140÷(x+9)+(x+4)² when x =1 show work

Dmitrij [34]

Answer:

Step-by-step explanation:

If x=1, then it's equal to 140/(1+9, or 10)+(1+4, or 5)^2, and that is equal to 140/10+5^2, or 140/10+25, and 140/10=14, and 14+25=39

brainliest pls

4 0

2 years ago

A major baseball diamond is a square with side lengths of 90 feet.

iren2701 [21]

Answer: $\bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}$

<u>Step-by-step explanation:</u>

Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square. Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.

$90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}$

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3 years ago

Est form. Lessons 3-5)<br> 2<br> 9

Gekata [30.6K]

Answer:

what is this mean is there a question

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3 years ago

Damian had 5 liter bottles of soda, which he poured equally between 8 glasses. How much soda was in each glass?

DiKsa [7]

5/8.
Keep in mind that a fraction is also division equation, and you are distributing 5 liters among 8 glasses. Five divided by eight; five over eight.

6 0

2 years ago