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3 years ago

Solve v^2+2v=0 by factoring

Mathematics

1 answer:

Yuki888 [10]3 years ago

3 0

$\large \mathfrak{Solution : }$

let's factorise :

${v}^{2} + 2v = 0$

$v(v + 2) = 0$

now, there are two cases :

case 1 :

$v = 0$

case 2 :

$v + 2 = 0$

$v = - 2$

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Charlie is standing 45 feet from the base of 100 foot tall tree. What is the angle of elevation from him to the kite stuck on to

galben [10]

Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use $Cos$ (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which $Cos$ , Hypotenuse, and Adjacent side.

$Cos^{-1} =45/100$

Now, let's solve the left part of this function

$
Cos^{-1} =0.45$

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

$Cos^{-1} =0.45$
$63.25631605$

Awesome. Let's round this number to the closest tenth

$63.3$ is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle

5 0

3 years ago

An altitude of a triangle is a line or segment that passes through a vertex of the triangle and is _____________ to the line con

GenaCL600 [577]

I think best word to insert in the blank is the term "bisecting".

An altitude of a triangle is a line or segment that passes through a vertex of the triangle and is bisecting to the line containing the opposite side.

"Bisect" means to divide into two equal parts which is true for the altitude of a triangle.

3 0

3 years ago

Read 2 more answers

The expression P(4, 3) is equal to: -3! -4! - 1

nexus9112 [7]

Answer:

$P(4,3) = 4!$

Step-by-step explanation:

Given

P(4,3)

Required

Solve

Using permutation formula;

$P(n,r) = \frac{n!}{(n-r)!}$

This implies that

$P(4,3) = \frac{4!}{(4-3)!}$

$P(4,3) = \frac{4!}{(1)!}$

$P(4,3) = \frac{4!}{1!}$

$P(4,3) = \frac{4!}{1}$

$P(4,3) = 4!$

6 0

3 years ago

Factorise quadratic equation n^2-n=0

Sindrei [870]

n² - n = 0

n(n-1)

$\\ \\$

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2 years ago

Tyger is trying to eat less sugar in his diet.He reduces his sugar intake from 15 spoons a day to 9 1/2 spoons a day. What is th

seraphim [82]

Answer:the percentage decrease is 36.67%

Step-by-step explanation:

Initial amount of sugar in his diet is 15 spoons in a day. Currently, the amount of sugar in his diet is 9 1/2 spoons in a day. Converting to decimal, it becomes 9.5 spoon in a day. The amount by which he reduced his sugar intake is 15 - 9.5 = 5.5 spoons.

Percentage decrease would be expressed as

Amount by which the intake decreased/ initial intake × 100

It becomes

5.5/15 × 100 = 36.67%

8 0

3 years ago