1. What are the coordinates of M', the image of M(2,4),

(EASY)(BRAINLIEST)Which of the four angles marked on the picnic table is obtuse?

Nataly [62]

The angle that is obtuse is 1, because it is greater than 90°.

Hope this helps and have a nice day:)

4 0

3 years ago

Read 2 more answers

Write the quadratic equation that has roots -1-rt2/3 and -1+rt2/3 if its coefficient with x^2 is equal to 1

weeeeeb [17]

The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9

<h3>How to determine the quadratic equation?</h3>

From the question, the given parameters are:

Roots = (-1 - √2)/3 and (-1 + √2)/3

The quadratic equation is then calculated as

f(x) = The products of (x - roots)

Substitute the known values in the above equation

So, we have the following equation

$f(x) = (x - \frac{-1-\sqrt{2}}{3})(x - \frac{-1+\sqrt{2}}{3})$

This gives

$f(x) = (x + \frac{1+\sqrt{2}}{3})(x + \frac{1-\sqrt{2}}{3})$

Evaluate the products

$f(x) = (x^2 + \frac{1+\sqrt{2}}{3}x + \frac{1-\sqrt{2}}{3}x + (\frac{1-\sqrt{2}}{3})(\frac{1+\sqrt{2}}{3})$

Evaluate the like terms

$f(x) = x^2 + \frac{2}{3}x - \frac{1}{9}$

So, we have

f(x) = x²+ 2/3x - 1/9

Read more about quadratic equations at

brainly.com/question/1214333

#SPJ1

7 0

1 year ago

16. Find the values of x and y. (2y + 5) (5x - 17) (3x – 11)º

serg [7]

Answer:

x = 26

y = 9

Step-by-step explanation:

(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)

Solve for x

5x - 17 + 3x - 11 = 180

Collect like terms

5x + 3x - 17 - 11 = 180

8x - 28 = 180

Add 28 to both sides

8x = 180 + 28

8x = 208

Divide both sides by 8

x = 208/8

x = 26

Also:

(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)

Plug in the value of x and solve for y

2y + 5 + 90 + 3(26) - 11 = 180

2y + 5 + 90 + 78 - 11 = 180

Collect like terms

2y + 162 = 180

Subtract 162 from both sides

2y = 180 - 162

2y = 18

y = 9 (dividing both sides by 2)

6 0

3 years ago

Help? a) 2/10 + 8/100 b) 13/100 + 4/10 c) 6/10 + 39/100 D) 70/100 + 3/10

Leni [432]

$\green{––––––––––––––––––––––––––––––}$

$\huge\red{\boxed{\tt{{«ANSWER»}}}}$

A) 2/10 + 8/100 = 0.28
B) 13/100 + 4/10 = 0.53
C) 6/10 + 39/100 = 0.99
D) 70/100 + 3/10 = 1

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#carry on learning <3

5 0

2 years ago

How many complex roots does the polynomial equation below have? x^5 - 3 = 0

const2013 [10]

For any polynomial equation, The Fundamental Theorem of Algebra tells you that the highest degree present will tell you how many complex roots the equation has. There are only two terms, " $x^{5}$ " and "3". The $x^{5}$ term has a degree of 5, its exponent. The 3 term has a degree of zero, because you could write it as $3 * x^{0} = 3 * 1$ using the zero exponent rule.

The degrees present are 5 and 0. Choose the highest one, 5. So, the answer here is D.

8 0

3 years ago