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rosijanka [135]

3 years ago

15

99 Points Need Help! How to reflect over y= -x+6

2 answers:

Kay [80]3 years ago

8 0

(x,y) → (-(y-6), -x + 6)

iragen [17]3 years ago

6 0

To reflect in the line y = -x + 6, we translate everything down 6 first. This will make it seem like we are reflecting in the line y = -x
                                 (x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
                                 (x,y) → (-(y-6), -x)
Then we move everything back up again
                                 (x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
                                 (-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.

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A football team gained 10 yards on one play and then lost 22 yards on the next. What was the overall change in field position.

grandymaker [24]

Answer:12 yards

Step-by-step explanation: 22-10=12

4 0

4 years ago

What are the potential solutions of log4x+log4(x+6)=2?

lions [1.4K]

The potential solutions of $log_4x+log_4(x+6)=2$ are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

Product Rule for Logarithms - $log_{b}(a*c)=log_{b}a+log_{b}c$
Quotient Rule for Logarithms - $log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c$
Power Rule for Logarithms - $log_{b}(a^c)=c*log_{b}a$

The exercise asks the potential solutions for $log_4x+log_4(x+6)=2$ . In this expression you can apply the Product Rule for Logarithms.

$log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0$

Now you should solve the quadratic equation.

Δ= $b^2-4ac=36-4*1*(-16)=36+64=100$ . Thus, x will be $x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}$ . Then:

$x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8$

The potential solutions are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0

2 years ago

A local store buys used video games. For each game bought, they would pay $18 less than the original price paid for the game. Wh

Sonbull [250]

Answer:

total amount = n (d-18)

total amount = dn - 18n

Step-by-step explanation:

given data

pay = $18 less than the original price

originally cost = d dollars

sell = n games

solution

we take original price paid for the game = d

and they will pay $18 less than the original price

so that can we say

d -18

and

when sold n games than the cost of n used games will be here

cost = n (d-18)

so it can express as

total amount = n (d-18)

total amount = dn - 18n

7 0

3 years ago

Can someone please help me i will give free 50 points

Grace [21]

Would it be 11 and 12?

6 0

3 years ago

Read 2 more answers

What is the diameter of a circle if the circumference is 11?

Gennadij [26K]

Answer:

d≈3.5

Step-by-step explanation:

d= C/π =11/π≈3.50141

Brainliest plz

7 0

4 years ago