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pantera1 [17]
3 years ago
10

the length of a rectangular garden is 3 m greater than the width. The area of the garden is 70m squared. find the dimensions of

the garden
Mathematics
1 answer:
Lerok [7]3 years ago
4 0
A = l x w

so you know that the length is 3m longer than the width, so you could use a formula to represent that

w = l + 3

you then substitute the second equation into the first to solve for l

70 = l x (l +3)
70 = l^2 + 3l

you could then rearrange the formula and solve for l using the quadratic formula 

0 = l^2 + 3l - 70

l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2

then you solve for the two seperate roots

l = -3 + 17 /2
l = 14 / 2
l = 7

or 

l = -3 - 17 / 2
l = -20 / 2
l = -10

since a length cannot be negative, this root is not viable. therefore l = 7

to solve for w you would use

w = l + 3
w = 7 + 3
w = 10 

hope this helps! if you did not understand a step or concept please let me know!
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At 8:00, the temperature was -6°. Three hours later, the temperature dropped 13°. What is the temperature at 11:00?
AysviL [449]

Answer:

-19 degrees

Step-by-step explanation:

13+6=19

you would need to add the negative since it said dropped in temperature and the temperature was already negative.

3 0
2 years ago
what is an equation of a line that passes through the point (-4,-6) and is perpendicular to the line 2x-y=6
igor_vitrenko [27]

Answer:

Answer:y=2/3x-10/3

- 4/-6 is 4/6 so m is 4/6 then fill in the x and y variables in y=Mx+b solve for b then start plotting the equation of the line to check and you get your answer

I think this is the answer you might need to check again with more people

Step-by-step explanation:

6 0
3 years ago
A 16-ounce package of frozen vegetables costs $2.10. How much would you expect a 12-ounce package to cost?
statuscvo [17]
Hi!

We need to find the cost per ounce. 
2.10/16 = 0.13125

It costs 0.13125 per ounce. 

Now find the cost of 12 ounces. 
12 * 0.13125 = $1.58

The answer is $1.58

Hope this helps! :)
-Peredhel
8 0
3 years ago
Read 2 more answers
A set of 10 coins may contain any combination of pennies, nickels, dimes, quarters, or half-dollars. In how many different ways
Iteru [2.4K]

that is a very complicated question with alot of variable to figure out

4 0
3 years ago
What two numbers add to equal ten and multiplies to equal negative seven?
lawyer [7]
Okay ShallBeTheLast, what we will do will involve a lot of simple plug and play kind of actions.
To start we must notice one number must be negative and the other should be positive, because the multiplied number is a negative.

Next, lets multiply number that have a sum of 10 (keep in mind one has to be negative and the other has to be positive).

-1 * 10 = -10 false
-2 * 12 = -24 false
-3 * 13 = -39 false
notice that no number working and it's only getting farther away.
There is no solution for this that involves to integers.

I think you might of wrote the question backwards.
If that is the case we would run numbers like.....
-1 * (-6) = 7 false
-2 * (-5) = 10 true!!!!

-2 and -5 would work
4 0
3 years ago
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