All categories

3 years ago

The expression (3r+5)(2r-6) is equivalent to ?

Mathematics

1 answer:

Sholpan [36]3 years ago

5 0

Is the answer 5r-1? I'm not sure tho sorry if it's wrong!

You might be interested in

A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

5 0

3 years ago

A man and his three children spent $40 to attend a show. A second family of three children and their two parents spent $53 for t

wariber [46]

The cost for the children tickets is $9

5 0

2 years ago

He table shows the solution to the equation |2x − 5| − 2 = 3:

ozzi

The solution is completely correct, as putting 5 or 0 in the formula again will make it true.

$|2(0)-5|=5$
$|-5|=5$
$5=5$

$|2(5)-5|=5$
$|10-5|=5$
$5=5$

6 0

3 years ago

The area of the circle is 64pie cm. What is the radius in cm?

Vinil7 [7]

Answer: 8 centimeters

Step-by-step explanation: To find the radius of the circle, remember that the formula for the area of a circle is πr² and since we're given that the area of our circle is 64π, we can set up the equation 64π = πr².

To solve for <em>r</em>, we first divide both sides of the equation by π.

On the left side, the π's cancel and we're left with 64 and on the right side, the π's cancel and we're left with r².

So we have 64 = r².

Next, we take the square root of both sides to get 8 = r.

So the radius of our circle is 8 centimeters.

8 0

3 years ago

Read 2 more answers

Ms. green earns $980 per week for 40 hours of work. she earns $1.5 times her hourly rate for working any hours over 40 hours in

Leona [35]

What's the question, exactly?

4 0

3 years ago