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4 years ago

FIND: Good old y-intercept!

Mathematics

1 answer:

Nataly_w [17]4 years ago

4 0

Answer: easy, to find the y- intercept you have to take a set of points and put it into slope form

Step-by-step explanation:

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I need help..........

Marat540 [252]

Answer: 3rd one
Rearrange the original equation so it fits the model of : ax^2+bx+c=0
Then use the quadratic formula to find all possible answers.

5 0

3 years ago

Can someone help me and explain step by step

Shkiper50 [21]

Answer: 5) r = 5, 8th term = -78,125

6) r = 5, 8th term = -312,500

7) r = 5, {1, 5, 25, 125, 625}

8) r = 5, {-4, -20, -100, -500, -2500}

<u>Step-by-step explanation:</u>

The explicit formula of a geometric sequence is: $a_n=a_1\cdot r^{n-1}$ , where;

n is the number of the term
a₁ is the first term
r is the common ratio

$5)\ a_n=-5^{n-1}\\.\qquad =-1\cdot 5^{n-1}\quad \rightarrow \quad a_1=-1\ and\ r=5\\\\a_8=-5^{8-1}\\.\quad =-5^7\\.\quad =-78,125\\\\\\6)\ a_n=-4\cdot 5^{n-1}\quad \rightarrow \quad a_1=-4\ and\ r=5\\\\a_8=-4\cdot 5^{8-1}\\.\quad =-4\cdot 78,125\\.\quad =-312,500$

$7)\ a_1=1\ and\ r=5\\.\quad a_2=1\cdot 5=\boxed{5}\\.\quad a_3=5\cdot 5=\boxed{25}\\.\quad a_4=25\cdot 5=\boxed{125}\\.\quad a_5=125\cdot 5=\boxed{625}\\\\\\\\8)\ a_1=-4\ and\ r=5\\.\quad a_2=-4\cdot 5=\boxed{-20}\\.\quad a_3=-20\cdot 5=\boxed{-100}\\.\quad a_4=-100\cdot 5=\boxed{-500}\\.\quad a_5=-500\cdot 5=\boxed{-2500}\\\\\\$

8 0

3 years ago

The area of the top of a square table<br> is 269 in2. What are the dimensions<br> of the top?

dem82 [27]

Answer:

$\sqrt{269}$ is ≈ 14.01

Step-by-step explanation:

If the table top is a square, to find the area, you would multiply one side times itself.

If you are given the area, and need to find the sides, you will take the square root of the area to find the side length.

Your question doesn't say to round, but 269 is not a perfect square.

$\sqrt{269}$ is ≈ 14.01

If the area of the base was 169, that is a perfect square. $\sqrt{169}$ = 13

4 0

2 years ago

Amy works 6 hours each day making one bracelet each hour. She sells the bracelets for $21 each. Yesterday she only worked of a d

Nadya [2.5K]

The answer would be A

8 0

4 years ago

Read 2 more answers

Prove the identity with rules<br> (1-cos(-x)) / (sec(-x)-1) =cosx

Aloiza [94]

By using the rules:

$cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}$

We have proven the identity. Below you can follow the demonstration.

<h3></h3><h3>How to prove the identity?</h3>

Here you need to remember two things:

$cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}$

Here we have the expression:

$\frac{1 - cos(-x)}{sec(-x) - 1}$

By using the first rule, we can rewrite:

$\frac{1 - cos(-x)}{sec(-x) - 1} = \frac{1 - cos(x)}{sec(x) - 1}$

By using the second rule, we can rewrite:

$\frac{1 - cos(x)}{sec(x) - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1}$

Now if we multiply and divide by cos(x), we get:

$\frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} *\frac{cos(x)}{cos(x) } = \frac{(1- cos(x))*cos(x)}{1 - cos(x)} = cos(x)$

In this way, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

#SPJ1

8 0

2 years ago