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2 years ago

Pls asap completing square X^2 -24x+5=0

Mathematics

1 answer:

anzhelika [568]2 years ago

4 0

Answer:

Step-by-step explanation:

x² - 24x + 5 = 0

x² - 24x = -5

Now divide the co efficient of x by 2 and square the quotient and add to both sides

24/2 = 12

12² = 144. Now add 144 to both sides of the equation.

x² - 24x + 144 = 5 + 144

x² - 24x + 144 = 149

x² - 2*12*x + 12² = 149

(x - 12)² = 149

Both sides take square root

x - 12 = ±√149

x = 12 ± √149

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Step-by-step explanation:

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3 years ago

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sergij07 [2.7K]

Answer:y = 2x + 4

Explanation:

1) The slope - intercept form is of the kind y = mx + b, where m is the slope and b is the y-intercept.

2) Given two points you can find the slope (using the two points) and then the equation using one of the points.

3) slope = m = Δy / Δx

points given (3,10) , (0,4)

m = [y2 - y1] / [x2 - x1] = [10 - 4] / [3 - 0] = 6 / 3 = 2

4) equation

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3 0

3 years ago

A scuba diver descends in the water at a rate of 20 1/2 feet per minute for 2.8 minutes. He immediately changes course when he s

N76 [4]

Answer:

7.4 feet below sea level

Step-by-step explanation:

Assumed the starting point is the sea level 0.

After 2.8 min the diver is at position:

20 1/2 * 2.8 =
20.5 * 2.8 =
57.4 feet below sea level

The position change after next 2 minutes:

25*2 = 50 feet

The position of the diver after 4.8 min:

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3 0

3 years ago

In golf, a score of 0 is called even par. A score of 2 under par is written as -2. A score of 4 over par is written as +4 or 4.

patriot [66]

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2 over par is written as 2

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Total score: add all the numbers together:

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7 0

2 years ago

PQR is a right angled triangle calculate the size of angle marked x

romanna [79]

Answer:

$\displaystyle x \approx 37.4^\circ$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

Substitute in variables [Cosine]: $\displaystyle cosx^\circ = \frac{5.8}{7.3}$
[Fraction] Divide: $\displaystyle cosx^\circ = 0.794521$
[Equality Property] Trig inverse: $\displaystyle x^\circ = cos^{-1}(0.794521)$
Evaluate trig inverse: $\displaystyle x = 37.39^\circ$
Round: $\displaystyle x \approx 37.4^\circ$

8 0

3 years ago