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Vinil7 [7]
3 years ago
10

The area of a parallelogram is given by the formula A=bh. The area of the parallelogram is 85 sq. Units. Find it’s base and heig

ht.

Mathematics
1 answer:
kolbaska11 [484]3 years ago
7 0

Answer:

the height is 5 and the base is 17.

Step-by-step explanation:

X + 1 is the height and 4x + 1 is the base, so we can substitute this into an equation:

( x + 1 ) (4x + 1) = 85

{apply the distributive law}

4x² + x + 4x + 1 =

4x² + 5x + 1 = 85

Take 85 to the other side by -85 each side:

4x² + 5x + 1 - 85 = 85 - 85

4x² + 5x - 84 = 0

{Now we have a quadratic equation}

The roots are either -5.25 or 4. X must be 4 since it must be positive as it is a side length.

Substitute x into the base and height to get the answers.

X + 1 = 4 + 1 = 5

4x + 1 = 16 + 1 = 17

Therefore the height is 5 and the base is 17.

You might be interested in
Ian runs a farm stand that sells blueberries and apples. Each pound of blueberries sells for $1.75 and each pound of apples sell
Snowcat [4.5K]

x+y=46 and 1.75x+2y=89.50 can be used to determine the number of pounds of blueberries sold and the number of pounds of apples sold, where x represents the pounds of blueberries sold and y represents the pounds of apples sold.

Step-by-step explanation:

Cost of one pound of blueberries = $1.75

Cost of one pound of apples = $2

Total worth = $89.50

Total sold = 46 pounds.

Let,

x be the pounds of blueberries sold.

y be the pounds of apples sold

According to given statement;

x+y=46     Eqn 1

1.75x+2y=89.50   Eqn 2

x+y=46 and 1.75x+2y=89.50 can be used to determine the number of pounds of blueberries sold and the number of pounds of apples sold, where x represents the pounds of blueberries sold and y represents the pounds of apples sold.

Keywords: linear equation, variables

Learn more about variables at:

  • brainly.com/question/11150876
  • brainly.com/question/11175936

#LearnwithBrainly

5 0
3 years ago
[ (-5) + (-4) ]x • (-5) - (-7)x + (-3)x
pantera1 [17]

Answer: 49x

Step-by-step explanation:

first, i rewrite the equation, removed the parentheses, and multiplied it all out.

(-5-4)x x (-5) + 7x - 3x

then, i calculated it.

-9x x (-5) + 7x - 3x

then, i multiplied and calculated again.

45x + 7x - 3x = 49x

3 0
3 years ago
Help ASAP I’ll give brainliest don’t answer of u do not know thank u Sm:)
Ber [7]
The answer to the question is >
3 0
3 years ago
Read 2 more answers
NEED HELP PLEASE
Tom [10]

Answer:

f^-1(x) = (x + 3)^1/3 + 2

Step-by-step explanation:

..................................................

6 0
2 years ago
7x-3y=4 2x-y=1 the solution to the system of equations is
Alex_Xolod [135]

Answer:

x = 1 and y = 1

Step-by-step explanation:

7(1) minus 3(1) = 4

and 2(1) minus 1 = 1

just try and guess a number and try to solve the problem with that number, if it isn't the answer then repeat.

4 0
3 years ago
Read 2 more answers
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