The area of rectangle ABCD is 28 cm^2
a) What is the length of side AB in terms of x?
b) If the area of rectangle ABCD is 28cm^2
we can show that x2 + ax=b
a and b are integer values.
Work out the values of a and b.
Answers
The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:
Area = length * width
From the image:
Length of AB = x + 4
Length of BC = x + 6
The area of rectangle ABCD = Length of AB * Length of BC
28 = (x + 4)(x + 6)
x² + 10x + 24 = 28
x² + 10x = 4
Comparing with x² + ax = b gives:
a = 10, b = 4
Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
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The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:
Area = length * width
From the image:
Length of AB = x + 4
Length of BC = x + 6
The area of rectangle ABCD = Length of AB * Length of BC
28 = (x + 4)(x + 6)
x² + 10x + 24 = 28
x² + 10x = 4
Comparing with x² + ax = b gives:
a = 10, b = 4
Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
Related Questions
Amir invests £2000 into an savings account.
Amir gets 4.75% per year compound interest.
Work out how much Amir will have in the account after 9 years.
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Answer:
£30000
Step-by-step explanation:
I used a couculator
Consider the following shape drawn on a centimetre grid. I 1.1) Determine the perimeter of this shape.
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Answer:
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Step-by-step explanation:
A quadratic function has zeros of 2 and 9. Which expression could define the function?
A. x²+18x+11
B. x²+11x+18
C. x²-11x+18
D. x²-18x+11
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Answer:
I think the answer is C. x²-11x+18
Step-by-step explanation:
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Answer:
ok whats the question?
Step-by-step explanation:
Fill the gaps in the
a Die
x = -7
5x - 7 ?
Answers
Answer: -42
Step-by-step explanation:
If X = -7
Then:
= 5(-7) - 7
= -35 - 7
= -42
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Answer:
1/4.
Step-by-step explanation:
There are 12 possible outcomes.
There are are 3 outcomes represented by 4B.
So required probability = 3/12 = 1/4.
If my dad drives at a rate of 120 miles every 2 hours, how many miles will he drive in 12 hours? A 720 miles B 320 miles C 120 miles D 600 miles. please help me....
Answers
Answer:
A: 720 miles
Step-by-step explanation:
Since in 2 hours he drives 120 miles we can calculate the rate for 1 hour by diving the miles by 2
1 hour he will have driven 60 miles
Since we are looking for how much would be driven in 12 hours we multiply 60 by 12. Giving us 720 miles in 12 hours
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
Answers
Ginger exercised for 5 1/2 hours in 6 days.
Each day she stretched for 1/4 hour and then walked. How long did she walk each day?
Answers
Answer:
45 minutes
Step-by-step explanation:
Saying she uses 0.25 of an hour to stretch everyday that mean she will take 0.75 of an hour to walk
[tex] \frac{4}{4} - \frac{1}{4} = \frac{3}{4} [/tex]
Then we need to calculate three-fourth of an hour to figure out how much time she spent walking.
[tex] \frac{3}{4} \times \frac{60}{1} = 3 \times 15 = 45 \: minutes[/tex]
Done.
Brent has 4.42 in pennies and dimes. If he has 163 coins in all, find the number of pennies and dimes
Answers
9514 1404 393
Answer:
132 pennies31 dimesStep-by-step explanation:
If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.
Brent has 31 dimes and 132 pennies.
_____
Solution using an equation
You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...
1(163-d) +10d = 442
9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)
9d = 442 -163 = 279 . . . . . . subtract 163
d = 279/9 = 31 . . . . . . . . . . divide by 9
Brent has 31 dimes and 163-31 = 132 pennies.
Answer:
Step-by-step explanation:
y= -3x + 5 input (x) = -2 find y output
Answers
Answer:
11
Step-by-step explanation:
Plug in - 2 for X and solve
Y= -3(-2) + 5
Answer:
11
Step-by-step explanation:
-3 (-2) + 5=
6 + 5= 11
You gotta exchange the (x) for -2
Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answers
Answer:
y=-1/3x+1
Step-by-step explanation:
it is negative because when you find the slope you go down instead of up
Answer this -
also can you answer faster kid?
Answers
Let's assume the triangle having sides as A, B & C, With an extended exterior side as D. (Refer the above attachement for better view!)
We know that the angles opposite to equal sides of a triangle are equal.
∴ AB = AC ⇒ ∠B = ∠C
Now, Side BA of Triangle ABC has been produced to D.
∴ ∠CAD = ∠B + ∠C (Exterior angle = sum of int. opp. angles)
⇒ 3x - 10 = 25 + x + 15
⇒ 3x - 10 = 40 + x
⇒ 3x - x = 40 + 10
⇒ 2x = 50
⇒ x = 50/2
⇒ x = 25
∴ The value of 'x' in the given figure is 25!
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄Which of the following sets of lengths could form the sides of a triangle? Choose all that
apply.
А
7, 9, 17
B
7, 2,8
C
3, 1,5
D
6, 3,5
E
12, 12, 13
F
3,11,8
Answers
Answer:
B, D and E
Step-by-step explanation:
The first triangle inequality theorem states:
the lengths of any two sides of a triangle must add up to more than the length of the third side.
So as long as the sum of the two shortest is greater than the longest side a triangle is possible
А
7 + 9 < 17 NO
B
2 + 7 > 8 YES
C
1 + 3 < 5 NO
D
3 + 5 > 6 YES
E
12 + 12 > 13 YES
F
3 + 8 = 11 NO
Solve for z.
5.8 + 1 = z
Answers
Answer:
5.8 + 1 = z
6.8
Step-by-step explanation:
There are no variables in this equation. So you just add 5.8 + 1
Answer:
5.8+1=6.8
Step-by-step explanation:
'z' is a variable representing an unknown number. In this case, z is the answer, since the equation is 5.8+1=z. All you do is add 5.8 and 1 like this:
5.80
+1.00
_____
6.80
or 6.8
6.8=z
Note: The zero after the numbers does not change the answer.
Hope this helped! :)
The length of an eraser is ¾ inch. How many erasers would it take to make a row 42 inches long?
Answers
Answer:Let us suppose that we have 2 erasers. so the length of a row of 2 erasers would be
3/4+3/4=2 3/4
So, let us suppose that we have x erasers. The length of the row of x erasers would be
3/4 x
we want x such that this length is 42, so we have the equation
3/4 x =42
Step-by-step explanation:
Bianca deposits $3,000 in a savings account earning 4.25% simple interest per year. Part A How much interest will Bianca earn for a period of 3 years?
Answers
Answer:
$382.5
Step-by-step explanation:
First get the 4.25% of $3000. then multiply it by 3-representing 3 years.
hope it can help you lovelots
ples help meeeeeeeeeeeeeeeeeeeeeee
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Answer:
po 989r9 vcmc cohol,j
Step-by-step explanation:
miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following
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Answer:
x = -10 or 2
Step-by-step explanation:
20 decreased by the product of 5 and a number x
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Theresa created a piece of art by attaching a square plank to a triangular plank. The square plank has a perimeter of 48 inches. The triangular plank has a base length of 12 inches and a height of 6 inches. She wants to cover the piece of art with colored paper.
How many square inches of paper are needed to cover Theresa's art piece?
Answers
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
The perimeter of the square is 48. The Square has 4 sides so 48/4 = 12.
One side of the square is 12. Use [tex]12^{4}[/tex] to calculate the area. [tex]12^{4}[/tex] = 144.
Triangle base = 12 and height = 6. 12 times 6 divided by 2 = 36.
144 + 36 = 180
Which expression is equivalent? Thank you:)
Answers
Answer:
A
Step-by-step explanation:
because this is right
which ordered pair is a solution to the equation?
Answers
and the y value into the y variable.
A. 10 = (-2/3)(-3/2) + 9
10 = (6/6) + 9
10 = 1 + 9
10 = 10
choice a is correct
3n - 31 = 8 + 7 ( 1 + 7n)
Answers
[tex]n = - 1[/tex]
hope it helpsWhat are the terms in the following expression? Choose all that apply.
c + 4a + 2b + 7
Answers
Answer:
C, 4a, 2b and 7
Step-by-step explanation:
Find the slope of the line that passes through (7, 1) and (2, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Plug in the values
(3-1)/(2-7) = 2/-5 = -2/5
The slope is -2/5
Answer:
-2/5
Step-by-step explanation:
slope equation is as follows -
(y1-y2)/(x1-x2)
now we just put (7,1) and (2,3) into the formula
(1-3)/(7-2)
-2/5
Liz is a salesperson at a department store. She gets paid an hourly wage plus a 5 percent commission on all her sales. Her pay is given by the formula below.
P = $6h + $0.05k
In this formula, h is the number of hours worked, and k is the dollar amount of sales. Liz worked 36 hours last week and sold $2,700 of merchandise. What was her total pay for the week?
Answers
Answer:
$351.00
Step-by-step explanation:
Our first step in this process is to find what the hours - represented by h - times $6.00 would result in. Since 36 ⋅ 6 results in $216.00, we know that $216.00 + $0.05k = last week's pay for Liz.
Our second step is to find what $0.05 is being multiplied by. We see in the given information that k represents the dollar amount of sales. Therefore, in the second step of this process, we'll be multiplying 0.05 by 2700, which results in $135.00.
We then add $216.00 - the remaining value to be added - to the second value of $135.00, making the answer to this math problem $351.00.
Hopefully this helped a bunch! And tell me if you need any further assistance. ( :
An item is regularly priced at $55 it is now priced at a discount of 65% of the regular price
Answers
Answer:
$19.25
Step-by-step explanation:
Multiply 55 dollars by .65 to get the amount of money that is being dropped. 65% of 55 dollars is 35.75
Now subtract the original amount (55 dollars) by 35.75 dollars to get 19.25 dollars.
An easier way to do this is just by multiplying 55 dollars by the amount or percentage that is left so you multiply 55 by .35 and you will get the same answer.
Which of the following functions has a factor of x + 1?
f(x) = x^3 – 12x^2 + 27x + 40
f(x) = x^3 - 14x^2 + 53x – 41
f(x) = x^3 – 14x^2 + 53x + – 40
f(x) = x^3 - 12x² + 27x + 39
Answers
Answer:
x³-12x²+27x+40 has factors (x-8)(x-5)(x+1)
In the given figure, PQ 11 RS, find the value of x.
Answers
Answer:
73 degrees
Step-by-step explanation:
Alternate interior angles: 123 is angle ACS, so that means PAC has the same value as this because PQ and RS are parallel.
So, now just subtract 50 from 123 to get x.