MATHEMATICS COLLEGE

Rewrite the equation by completing the square. x^2-14+33=0

Answers

Answer 1

Answer:

Answer:

(x - 7)² = 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Completing the Square

Step-by-step explanation:

Step 1: Define

x² - 14x + 33 = 0

Step 2: Rewrite

Isolate x terms: x² - 14x = -33
Complete the Square: x² - 14x + 49 = -33 + 49
Reduce: (x - 7)² = 16

And we have our rewritten form!

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Graph a line with a slope of 2/5 that contains the point (-2,4)

Answers

Answer:

see below

Step-by-step explanation:

It can be convenient to graph the given point, then identify additional points on the line based on the slope. The slope of 2/5 tells you the line will have a rise of 2 units for each run of 5 units.

Choose the correct algebraic expression for each phrase 13 times the cost of one ticketPLS HELP IF U KNOW THE ANSWER
t÷13
t-13
13+t
13t

Answers

Answer:

13t

Step-by-step explanation:

Answer: 13t
You multiply 13 by the cost of a ticket

Can u please help, it’s about finding measure of a triangle

Answers

Answer:

x = 20

<ACD = 113

Step-by-step explanation:

Exterior angle of a triangle is equal to the sum of the interior opposite angles of a triangle

There for,

<CAB + <ABC = <ACD

$2x-9+4x+2 = 5x+13\n6x-7=5x+13\n6x-5x=7+13\nx=20$

Size of the <ACD

$5x+13\n5*20+13\n100+13\n= 113$

Given that a point of measure is 3m away from a tree, and the top of the tree is at a 60 degree angle from the ground,find the height of the tree.

Answers

So there is a right triangle.

The tree hight over the distance from the tree is equal to the tangent of the angle.

h / 3 = tan(60)

h / 3 = $√(3)$

h = $3√(3)$

Final answer:

To find the height of the tree, we can use trigonometry and the tangent function. The height of the tree is approximately 5.2 meters.

Explanation:

To find the height of the tree, we can use trigonometry. We have a right triangle formed by the tree, the point of measure, and the ground. The distance from the point of measure to the tree is the adjacent side, and the height of the tree is the opposite side. We can use the tangent function to find the height:

tan(60°) = height/3m

height = 3m * tan(60°) = 3m * √3 ≈ 5.2m

Therefore, the height of the tree is approximately 5.2 meters.