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2 years ago

Perform the operation. (x^2-8x-6)-(x^2-2x)

Mathematics

1 answer:

Afina-wow [57]2 years ago

8 0

Answer:

The answer is -6x - 6. It cannot be simplified more.

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The line passes through (9,8) and is perpendicular to x-2y=-16

pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

$x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\$

The equation is in slope-intercept form, the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

$\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2$

Slope intercept form is:

$y=mx+b$

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

$8=-2(9)+b\\8=-18+b\\b=8+18\\b=26$

Putting the values of b and m

$y=-2x+26$

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

4 0

2 years ago

Bongiwe invests R12 000 in a savings account at 6,5% per annum compound interest. Calculate how much there will be in the saving

lianna [129]

Step-by-step explanation:

can you give me solution

8 0

1 year ago

Can someone help me plese

AlexFokin [52]

12.) First find the rate of miles/hour that the Morales family drove: 312 miles/6 hours = 52 miles/hour. To find how far they travel in 8 hours, multiply that rate by 8. 52 x 8 = 416. If they drive for 8 hours, they will travel 416 miles.

6 0

2 years ago

Loretta grew 54 watermelons in her garden last year. This year, that number increased by 5/9. Which expression shows the number

Mars2501 [29]

Answer:

$54+\frac{5}{9}\times 54$

Step-by-step explanation:

We are given that

Loretta grew watermelons in her garden last year=54

We have to find the expression which shows the number of watermelons Loretta grew this year.

To find the expression which shows the number of watermelons Loretta grew this year by adding watermelons grew in her garden last year and number of watermelons increased .

According to question

5/9 of 54= $\frac{5}{9}\times 54$

Therefore, the expression which shows the number of watermelons Loretta grew this year

= $54+\frac{5}{9}\times 54$

6 0

2 years ago

X+y=5 3x+3y=10 eliminacion

Dominik [7]

[1] y = -x + 5

3x + 3•(-x +5) = 10

0 = -5 => NO solution

8 0

3 years ago