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valentina_108 [34]

3 years ago

13

-6(-v^3-3+5x^2) use the distributive property to remove parentheses Help!

1 answer:

Ad libitum [116K]3 years ago

8 0

-6 (-v^3 - 3 + 5x^2) =
6v^3 + 18 - 30x^2 <==

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At a certain time of the day, a tree that is x meters tall casts a shadow that is x-49 meters long. If the distance from the top

nikklg [1K]

The height of the tree is 60 meters.

Explanation:

Let the height of the tree be x. The tree casts a shadow of $x-49$ meters and the distance from the top of the tree to the end of the shadow is $x+1$ meters.

The sides of the triangle are attached in the image below:

Using pythagoras theorem,

$x^{2}+(x-49)^{2}=(x+1)^{2}$

Expanding, we get,

$2 x^{2}-98 x+2401=x^{2}+2 x+1$

$2 x^{2}-98 x+2400=x^{2}+2 x$

$2 x^{2}-100 x+2400=x^{2}$

$x^{2}-100 x+2400=0$

Solving the equation using the quadratic formula $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , we get,

$x=\frac{-(-100)\pm\sqrt{(-100)^{2}-4 \cdot 1 \cdot 2400}}{2 \cdot 1}$

Simplifying, we have,

$x=\frac{100\pm\sqrt{10000-9600}}{2}$

$x=\frac{100\pm\sqrt{400}}{2}$

$x=\frac{100\pm{20}}{2}$

Thus,

$x=\frac{100+20}{2} \\x=\frac{120}{2} \\x=60$ and $x=\frac{100-20}{2} \\x=\frac{80}{2} \\x=40$

where the value $x=40$ is not possible because substituting the value $x=40$ in $x-49$ results in negative solution. Which is not possible.

Hence, the value of x is 60.

Thus, The height of the tree is 60 meters.

7 0

3 years ago

Can someone help me with this?

scoundrel [369]

Measure of arc TS is equal to the central angle SPT. TPR is a semi circle so =180
TPR-RPS=SPT
180-110=70
Arc TS = 70 degrees

3 0

3 years ago

Find the value of (x+5) (x+2)+(x-3) (x-4) in its simplest form. What is the numerical value when x = -6?

Alex777 [14]

Answer:

$( - x + 5)(x + 2) + (x - 3)(x - 4)$

where as; x = - 6

<u>Solution</u>

<u> $(x + 5)(x + 2) + (x - 3)( x - 4)$ </u>

<u> $( - 6 + 5)( - 6 + 2) + ( - 6 - 3)( - 6 - 4)$ </u>

<u> $(- 1)( - 4) + ( - 9)( - 10)$ </u>

<u> $4 + 90$ </u>

<u> $94$ </u>

The answer is 94.

<h3>Hope it's correct!</h3><h3><em>Please mark me as brainliest</em><em>☺</em><em>!</em><em>!</em></h3>

<em>Thanks</em><em>☺</em><em>!</em><em>!</em><em>!</em>

3 0

3 years ago

Read 2 more answers

Hi I need help and saw that this app could help me

r-ruslan [8.4K]

Answer:

<em><u>A</u></em> would be your awnswer

Step-by-step explanation:

3 0

2 years ago

What is the slope of the line that passes through the points (-4, 8)(−4,8) and (-14, 8) ? Write your answer in simplest form.

guapka [62]

Answer:

si. tiene. que. hacer. división

8 0

3 years ago