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sasho [114]
3 years ago
9

Simplify: (d - 3)(d + 9)

Mathematics
1 answer:
podryga [215]3 years ago
8 0
<span>Simplify: (d - 3)(d + 9)


A) d^2 + 6
B) d^2 - 27
C) d^2 - 12d - 27
D) d^2 + 6d - 27</span>
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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:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

4 0
3 years ago
Find the perimeter of this triangle pls
noname [10]

Answer:

72 cm i think

Step-by-step explanation:

19+19+10+10+7+7

3 0
2 years ago
Read 2 more answers
Joe Summers buys a gas grill and accessories. The cost, including tax, amounts to $850.00. Joe finances the grill over 12 months
Anettt [7]

Answer:

$66.5

Step-by-step explanation:

The cost, including tax, amounts to $850.00.

Down payment =$150

Amount after paying down payment = $850-$150=$700

Interest rate = 14 %

So, interest on $700 = \frac{14}{100} \times 700 =98

So, c = $98

Total payment = amount financed + c  = 700+98=$798

Now Joe finances the grill over 12 months

So, no. of payments = 12

Now Monthly payment = Total of payments ÷ number of payments

                                        =798 ÷ 12

                                        =$66.5

Hence Joe's monthly payments (principal plus interest) is $ 66.5

7 0
3 years ago
A sum of money is deposited at a bank at a rate of 12½ annum simple interest. In how many years would the deposited money be dou
Dmitrij [34]

Answer:

It would take 10 years for the given sum of money be doubled at the given simple interest rate.

Step-by-step explanation:

A 10% interest would be added to the the principal amount after each year. So  the interest would reach 100% i.e. equal to the principal amount in 10 years.

7 0
3 years ago
A=c+(-10) Solve for c in terms of other variables.
True [87]
To do this we need to move 10 to other side.  To accomplish this you just need to add 10 to both side since (-10) 

so 
A+ 10 = c -10 + 10 
we get
A+ 10 = c

lets say it wasn't -10 but positive 10. 

A = c + 10  then we would subtract 10 from both sides

A -10 = c + 10 - 10 
we get 
A  - 10 = C 
5 0
3 years ago
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