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2 years ago

Find the centroid for an area defined by the equations y = x² + 3 and y = - (x – 2)² + 7

1 answer:

6 0

First we need to find where the 2 graphs intercept.

x^2 + 3 = - (x^2 - 4x + 4) + 7
x^2 + 3 = -x^2 + 4x + 3
2x^2 - 4x = 0
2x(x - 2)

x = 0 , 2. are x coordinates of the 2 intercepts.

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What is the slope? First, determine the slope. (200,14) (225,16)

Maksim231197 [3]

Answer:

$\displaystyle m=\frac{2}{25}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (200, 14)

Point (225, 16)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]: $\displaystyle m=\frac{16-14}{225-200}$
[Fraction] Subtract: $\displaystyle m=\frac{2}{25}$

7 0

2 years ago

1. 12 = x + 3 2. b+0.6= -1 3. a+(-4)= -13 4. x+27= -12 5. a+(-1.2)= -5.5

Archy [21]

1. 12=x+3 12-3=9 now try 9+3 that is 12 so x=9
2. b+0.6=-1 -1-0.6=-1.6 -1.6+0.6=-1 b=-1.6
3. a=-9
4. x=-39 I believe
5. a=-4.3

8 0

2 years ago

Read 2 more answers

Please help I’m having trouble with this question!

mezya [45]

ok thanks for letting me know you need help

4 0

2 years ago

Determine the measure of ∠Y. images attached

Gwar [14]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y

To find the value of ∠Y we use tan

We have

$\tan(∠Y) = \frac{25}{20} \\ \tan(∠Y) = \frac{5}{4} \\ ∠Y = { \tan^{ - 1} } \frac{5}{4} \\ ∠Y = 51.34019...$

We have the final answer as

Hope this helps you

5 0

2 years ago

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Does anyone know what the √2.25 is when rewritten as a fraction?

Zinaida [17]

Answer: $\sqrt{\frac{9}{4} }$

Step-by-step explanation:

This is what it is as a mixed number

$\sqrt{2.25}$

= $\sqrt{2\frac{1}{4} }$

= $\sqrt{\frac{9}{4} }$

If you want it written in exponential form it would look like this:

$(\frac{9}{4}) ^{\frac{1}{2} }$

5 0

1 year ago

Read 2 more answers