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2 years ago

Point G(-3,2) is translated using the rule (x+10, y-6). What is the x-coordinate of G'?

Mathematics

1 answer:

Mademuasel [1]2 years ago

5 0

Answer:

the anser is 7 :)

Step-by-step explanation:

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What is the value of A when we rewrite<br> (2/3)^x+4 - (2/3)^x as A • (2/3)^x

horsena [70]

Answer:

A= –65/81

Step-by-step explanation:

hope this explains it

5 0

2 years ago

Which of the following statements are true about the given rational equation? check all of the boxes that apply. 4 x 6 1 x2 = x

Agata [3.3K]

We can actually see that the statements that are true are:

A. x = 1 is a solution.

C. x = –1 is a solution.

<h3>What is rational equation?</h3>

Rational equation is actually known as an equation that contains at least one fraction. The denominator and numerator are known to be polynomials.

We can see then that:

$\frac{4}{x + 6} + \frac{1}{ {x}^{2} } = \frac{x + 10}{ {x}^{3} + 6 {x}^{2} }$

It's clear that: x ≠ 0 and x ≠ -6.

Looking for the LCM of the left hand side, we will have:

$\frac{4}{x + 6} + \frac{1}{ {x}^{2} } = \frac{4 {x}^{2 } + (x + 6)}{(x + 6) {x}^{2} }$

So, we will see that left hand side and right hand side are equal.

$4 {x}^{2} + x + 6 = x + 10$

$4 {x}^{2} = 10 - 6$

$4 {x}^{2} = 4$

${x}^{2} = 1$

$x = 1$

$x = - 1$

So, we can see that options A and C are correct.

Learn more about rational equation on brainly.com/question/11611235

3 0

1 year ago

What is the length of chord XY

Sergeeva-Olga [200]

Answer:

$|XY|=18cm$

Step-by-step explanation:

Since the chord is a tangent to the smaller circle, it will meet the radius of the smaller circle at right angle.

Let $d$ be the length of half of the chord. See diagram in attachment.

Then from Pythagoras Theorem,

$d^2+12^2=15^2$

$\Rightarrow d^2+144=225$

$\Rightarrow d^2=225-144$

$\Rightarrow d^2=81$

We take the positive square root of both sides to obtain,

$d=\sqrt{81}=9$

The length of the chord is

$2d=2(9)=18cm$

The correct answer is A

7 0

2 years ago

Solve for b A= \frac{a+b}{2}

lina2011 [118]

A = (a+b)/2
2*A = 2*(a+b)/2 ... multiply both sides by 2
2A = a+b
2A-a = a+b-a ... subtract 'a' from both sides to isolate b
2A-a = b
b = 2A-a

Answer: b = 2A-a

6 0

3 years ago

Use the formula for computing future value using compound interest to determine the value of an account at the end of 6 years if

nadezda [96]

Answer: the value of the account at the end of 6 years is is $8577

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 6000

r = 6% = 6/100 = 0.06

n = 4 because it was compounded 4 times in a year.

t = 6 years

Therefore,.

A = 6000(1+0.06/4)^4 × 6

A = 6000(1+0.015)^24

A = 6000(1.015)^24

A = $8577

5 0

3 years ago