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4 years ago

5

What is the integer of elevation of 145 feet

1 answer:

Serjik [45]4 years ago

8 0

It is -145 because u change it to a negative sense it is a integer

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What is the completely factored form of x3 â€"" 64x? x(x â€"" 8)(x â€"" 8) (x minus 4) (x squared 4 x 16) x(x â€"" 8)(x 8) (x â€

Vadim26 [7]

The factored form of an equation is done by rewriting the equation in simpler forms.

The completely factored form of $x^3 - 64x$ is $x(x-8)(x + 8)$

The expression is given as:

$x^3 - 64x$

Factor out x from the expression, $x^3 - 64x$

$x^3 - 64x = x(x^2-64)$

Express 64 as 8^2

$x^3 - 64x = x(x^2-8^2)$

Express the expression as a difference of two squares

$x^3 - 64x = x(x-8)(x + 8)$

Hence, the completely factored form of $x^3 - 64x$ is $x(x-8)(x + 8)$

Read more about factorization at:

brainly.com/question/3024511

3 0

2 years ago

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

Translate the sentence into an equation. Nine more than the product of a number and is equal to . Use the variable for the unkno

Blizzard [7]

(X+X)=x+9 what this mean is that when you get the answer you have to add it by nine

6 0

3 years ago

Read 2 more answers

One cold day last week the ice cream store sold 1 milk shake and 3 ice cream cones for a total of $7.50. It warmed up a bit a fe

kogti [31]

Answer:

1s+3c=7.5

3s+5c=17.5

Step-by-step explanation:

You will use these two equations and solve for the shakes in the first one. S=3.75

C=1.25

3 0

3 years ago

Describe the slope of the line. (-3,1) and (2,-2) The slope is _____, find the slope m=?

devlian [24]

Answer:

$m = - \frac{3}{5}$

Step-by-step explanation:

4 0

3 years ago