All categories

3 years ago

What would be the second part?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

7 0

Wait what’s the blue part? i might be able to help you with this :)

You might be interested in

Using the point (3,1) and a slope of 3,

Mariulka [41]

Answer:

y= -1= 3(x -3)

Step-by-step explanation:

y -y1= m(x -x1)

y -1= 3(x -3)

8 0

2 years ago

Select the three expressions that are equivalent to 6^{2}6 2 6, squared. a: (6^9/6^8)^2 b: 6 times 6 times 6 times 6 times 6 tim

Kamila [148]

Question:

Select the three expressions that are equivalent to $6^2$ :

a: $(\frac{6^9}{6^8})^2$

b: $\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }$

c: $\frac{6^4}{6^2}$

d: $\frac{6^5 * 6^7}{6^{10}}$

Answer:

a: $(\frac{6^9}{6^8})^2$

c: $\frac{6^4}{6^2}$

d: $\frac{6^5 * 6^7}{6^{10}}$

Step-by-step explanation:

Given

$6^2$ :

Required

Find equivalent expressions

<em>To solve this question; we'll simplify options a to do, one after the other</em>

a: $(\frac{6^9}{6^8})^2$

From laws of indices;

$\frac{a^m}{a^n} = a^{m-n}$

This implies that;

$(\frac{6^9}{6^8})^2 = (6^{9-8})^2$

$(\frac{6^9}{6^8})^2 = (6^{1})^2$

From laws of indices;

${a^m}^n = a^{m*n} = a^{mn}$

This implies that

$(\frac{6^9}{6^8})^2 = (6^{1*2})$

$(\frac{6^9}{6^8})^2 = 6^{2}$

Hence, $(\frac{6^9}{6^8})^2$ is equivalent to $6^2$

b. $\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }$

From laws of indices;

$a^m * a^n = a^{m+n}$

This implies that

$\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{1+1+1+1+1+1}}{6^{1+1+1}}$

$\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{6}}{6^{3}}$

From laws of indices;

$\frac{a^m}{a^n} = a^{m-n}$

This implies that

$\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{6-3}$

$\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{3}$

Hence; $\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }$ is not equivalent to $6^2$

c. $\frac{6^4}{6^2}$

From laws of indices;

$\frac{a^m}{a^n} = a^{m-n}$

This implies that

$\frac{6^4}{6^2} = 6^{4-2}$

$\frac{6^4}{6^2} = 6^{2}$

Hence, $\frac{6^4}{6^2}$ is equivalent to $6^2$

d. $\frac{6^5 * 6^7}{6^{10}}$

From laws of indices;

$a^m * a^n = a^{m+n}$

This implies that

$\frac{6^5 * 6^7}{6^{10}} = \frac{6^{5+7}}{6^{10}}$

From laws of indices;

$\frac{a^m}{a^n} = a^{m-n}$

This implies that

$\frac{6^5 * 6^7}{6^{10}} = 6^{5+7-10}$

$\frac{6^5 * 6^7}{6^{10}} = 6^{2}$

Hence, $\frac{6^5 * 6^7}{6^{10}}$ is equivalent to $6^2$

3 0

3 years ago

Read 2 more answers

James is estimating the amount of paint he needs for the walls of his 3.4m by 2.6m bedroom. His bedroom is 2.7m high. One litre

bixtya [17]

James will need about 5.008 Liters of Paint.

8 0

4 years ago

Using the substitution P=1/x and Q=1/y.

erma4kov [3.2K]

Step-by-step explanation:

$2p + q = 3 \\ p - 5q = 7 \\ \\ multiply \: the \: second \: equation \: by \: 2 \\ 2p - 10q = 14 \\ 2p - 10q - (2p + q) = 14 - 3 \\ 2p - 10q - 2p - q = 11 \\ - 11q = 11 \\ q = - 1 \\ \\ 2p + q = 3 \\ 2p - 1 = 3 \\ 2p = 4 \\ p = 2$

5 0

3 years ago

PLEASE HELP WITH THIS ONE QUESTION

Snezhnost [94]

Answer:

The fourth option.

Step-by-step explanation:

In the given equation x^2 + 4x + 9 = 0, a=1, b=4, and c=9. The quadratic formula is in the attachment below so if you plug in a, b, and c you get the fourth option.

8 0

3 years ago