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4 years ago

A right angled teiangle has sides of lengths (x+5) cm, (x-3) cm and 9 cm. Calculate the value of x

Mathematics

1 answer:

BabaBlast [244]4 years ago

5 0

Answer:

3.95

Step-by-step explanation:

(x + 5)^2 + (x - 3)^2 = 9^2

x^2 + 10x + 25 + x^2 - 6x + 9 = 81

2x^2 + 4x - 47 = 0

x = (-4 ± √392)/4

x ≈ -5.9497, 3.9497 => x = 3.95

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Marcus bought a booklet of tickets to use at the amusement park. He used 50% of the tickets on rides, 1/4 of the tickets on vide

shtirl [24]

Answer:

No, 25%, 50%, 25%

Step-by-step explanation:

Find the percentage of tickets left:

50 + 25 = 75

(percents are out of 100)

100 - 75 = 25

He saids he used the rest of the tickets at the batting cage so it would be 25% not 24%

7 0

3 years ago

PLZ HURRY!!!!!!

Fed [463]

Answer:

Solution:

{-5, 3}

Step-by-step explanation:

3x^2+6x=45

3x^2+6x - 45 = 0

(3x - 9)(x + 5) = 0

3x - 9 = 0; x = 3

x + 5 = 0

x = -5

Solution:

{-5, 3}

3 0

4 years ago

Read 2 more answers

The distance of a golf ball from the hole can be represented by the right side of a parabola with vertex (−1, 8). The ball reach

sukhopar [10]

Answer:

The required equation is:

$y = -\frac{4}{3}t^2 -\frac{8}{3}t + 4$

Explanation:

Let us assume that the hole is at y = 0m, with x as the time.

From the question we have (-1s, 8m) as the vertex (here x being the time variable is supposed to be in seconds and y being the distance variable is supposed to be in meters)

At x = 1s, the ball gets to the hole, therefore we have point (1s, 0m)

We know that the vertex of the parabola y = ax² + bx + c is at

$x =\frac{-b}{2a}$

therefore we have:

$-1 = \frac{-b}{2a}$

We then have the following equations:

$8 = a\times -1^2 + b\times -1 + c$

$0 = a\times -1^2 + b\times 1 + c$

$-1 = \frac{-b}{2a}$

From the 3rd equation we have

1 X 2a = b.

Therefore we have:

$8 = a\times -1^2 - 1\times 2a\times1 + c$

$0 = a\times 1^2 + 1 \times2a\times 1 + c$

We can simplify both equations and get:

$8 = a\times( -1^2 - 2s^2) + c = -a\times 3^2 + c$

$0 = a\times(1^2 + 2^2) + c = a\times 3^2 + c$

The first equation now becomes:

$8 = -a\times 3 - a\times 3 = -a\times 6$

$a = frac{8}{-6} = -\frac{4}{3}$

With a, we can find the values of c and b.

$c = -a\times3 = -(-\frac{4}{3})*3 = 4$

$b = 1\times 2a = 1\times 2(-\frac{4}{3})= -\frac{8}{3}$

Then the equation is:

$y = -\frac{4}{3}t^2 -\frac{8}{3}t + 4$

6 0

3 years ago

An expression is shown below:

Alex73 [517]

Given:

The given expression is:

$6x^2y-3xy-24xy^2+12y^2$

To find:

Part A: The expression by factoring out the greatest common factor.

Part B: Factor the entire expression completely.

Solution:

Part A:

We have,

$6x^2y-3xy-24xy^2+12y^2$

Taking out the highest common factor 3y, we get

$=3y(2x^2-x-8xy+4y)$

Therefore, the required expression is $3y(2x^2-x-8xy+4y)$ .

Part B:

From part A, we have,

$3y(2x^2-x-8xy+4y)$

By grouping method, we get

$=3y(x(2x-1)-4y(2x-1))$

$=3y(x-4y)(2x-1)$

Therefore, the required factored form of the given expression is $3y(x-4y)(2x-1)$ .

3 0

3 years ago

What is the hourly wage for working at sallie's snacks 15 hours weekly $122.25

Kruka [31]

The wage is $8.15/hour

3 0

4 years ago