A RECTANGLE HAS SIDES OF "20 - x" AND "x - 5", IF THE RECTANGLES AREA IS 36 SQ. INCHES. FIND THE LARGEST SIDE.
Answer:
12 in.
Step-by-step explanation:
1. area can be calculated as A=s1*s2, where s1 and s2 are the largest and shortest sides.
2. according to the formula before A=(20-x)(x-5). But according to the condition A=36, then (20-x)(x-5)=36;
3. if to solve this quadratic equation, then
-x²+25x-136=0;
[tex]\left[\begin{array}{ccc}x=17\\x=8\end{array}[/tex]
4. if x=3;12, then the sides are 12 and 3 and
5. finally, the largest side s1=12 inches.
Fibd the distance and midpoint between each pair of points. C(-2,2) d(5,-3)
Answer:
D=[tex]\sqrt{10}[/tex] or about 3.2 M=(1.5,-0.5)
Step-by-step explanation:
D=[tex]\sqrt{(x2+x1)^2 +(y2-y1)^2}[/tex] M=[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
Lets find the distance first:
D=[tex]\sqrt{(5+-2)^2 + (-3+2)^2}[/tex]
D=[tex]\sqrt{(3)^2+(-1)^2}[/tex]
D=[tex]\sqrt{9+1}[/tex]
D=[tex]\sqrt{10}[/tex]
D is about = 3.2
Lets find the midpoint now:
M= [tex](\frac{-2+5}{2} , \frac{2+-3}{2} )[/tex]
M=[tex](\frac{3}{2} ,\frac{-1}{2} )[/tex]
M= (1.5,-0.5)
I need to find coordinates of Q please help!!!
Answer:
(4,3)
Step-by-step explanation: go right because it is positive to 4 and up because it is positive to 3
If f(x) =x+1\x-1 and f(a) = 5 then f(2a) is equal to?
I scared of exam how do i do
Answer:
.
Step-by-step explanation:
Please help, I would really appreciate it.
A rectangular field will be fenced on all four sides. There will also be a line offenses across the field, parallel to the shorter side. If 900 M of fencing are available, what dimensions of the field will produce the maximum area? What is the maximum area?
Answer:
Pretty sure the dimensions are 125.6 meters by 251.2 meters 31,550.72 square meters.
plz help need asap .............
What is the slope of the line ( part 2 )
Answer:
-1/2
Step-by-step explanation:
Evaluate.
(−1/3+0.3(−1/3)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answer: 1.133333
Step-by-step explanation:
The value of the expression [tex]\frac{17}{15}[/tex] .
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Here, do normal simplification using BODMAS rule.
Hence, the required value is [tex]\frac{17}{15}[/tex]
Learn more about simplification from given link
https://brainly.com/question/432678
#SPJ2
a = 3, k = 12, z = 6, h = 4
Evaluate the algebraic expression z + 15 = ??
Answer: 21
Step-by-step explanation:
[tex]z+15=?\\[/tex]
Substitute the value of z into the expression:
[tex](6)+15=21[/tex]
Answer:
21
Step-by-step explanation:
have a good day
What is the distance between (-8, -1) and (-4, -9)?
Answer:
The distance formula between two points is
D=√([tex]x_{2} \\[/tex] -[tex]x_{1\\}[/tex])^2 + ([tex]y_{2}[/tex]-[tex]y_{1}[/tex])^2
Whereas
d is distance
So in this case
(-8, -1)
(-4, -9)
x2 is -4
x1 is -8
y2 is -9
y1 is -1
Now we plug them in
d= √(-4 + 8)^2 + (-9+1)^2
Now solve
it’s about
8.94427
Find the perimeter. Simplify your answer.
for the equation y=ax^2 how does the sign of coefficient affect the graph of the curve
Answer:
The sign of the coefficient determines the direction of where the graph opens.
Step-by-step explanation:
Given the quadratic equation, y = ax²:
The sign of the coefficient, a, affects the graph of the curve as it determines the direction of where the graph opens.
If the value of a is negative (a < 0), then the graph of the parabola opens downward. If the value of a is positive (a > 1), then the graph of the parabola opens upward.
Please see the attached screenshots of the graphed equations (y = -x², and y = x²), to show the effects of changing the sign of a quadratic equation's coefficient.
ms.ngoc class has 25students. There are 13 girls and 12 boys. If a student is selected at random, what is the probality of not selecting girl
Answer:
48% of selecting a male 52%of selecting a female
Step-by-step explanation:
what is 5 minutes to four and how?
Answer:
4 minutes to 4 is actually 3 56 am or pm
Step-by-step explanation:
it simply means you are left with 1 2 3 4 minutes only till is 4 o'clock
Solve the angles of this parallelogram
[tex]6x + 2 + 14x + 2y + 15y + 10 + 6x + 12y = 360° \\ 26x + 29y + 12 = 360° \\ 26x + 29y = 360 - 12 \\ 26x + 29y = 348 \\ 26x + y = \frac{348}{29} \\ 26x + y = 12 \\ x + y = 312[/tex]
Can someone help me with 15 and 16 Please!
With what? You have no attached documents and this is your only asked question on your brainly profile IM SO SORRY
0.009 ÷ 0.08 please help me I forgot how to divide decimals
Answer: 0.1125
Step-by-step explanation:
To divide decimals, you move the decimal (.) to the end.
In this case of 0.009 /0.08,
you move the period in 0.08 to the end so it become 8.
And since you moved it two spaces to the right, you do the same for the 0.009 (you move the period 2 spaces to the right), so it becomes 0.9
Then you divide.
Hopefully, that makes sense.
Elena and her family are season ticket holders for their favorite baseball team. Last year, the cost of season tickets was $1,510. This year, the cost is $1,208. What was the percent of decrease in the cost of season tickets?
Answer:6
Step-by-step explanation:
a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 27. find the value of a.
Answer:
a = 16
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
If there is no exact middle then the median is the average of the 2 values either side of the middle
a + 1 , 2a - 1 , a + 7 , 3a + 4
↑ middle
Then
[tex]\frac{2a-1+a+7}{2}[/tex] = 27 ( multiply both sides by 2 to clear the fraction )
3a + 6 = 54 ( subtract 6 from both sides )
3a = 48 ( divide both sides by 3 )
a = 16
If your restaurant bill was $24.67 and there is a 7% tax, how much total would you have to pay? (round to nearest hundredth)
Answer:
1.73
Step-by-step explanation:
If you are to
evaluate your life now using polynomial functions , how will you
look at it?
Can someone please help me please!!
Answer:
137 i am sorry if incorrect
Step-by-step explanation:
Two sides of a triangle are 6 cm and 8 cm long. What can be the length of its third side.(Write all the possible lengths)
explain.............................................................
Answer:
Let the. length of 3rd side of a ∆ be x.
x>(8–6) cms. and. x <(8+6) cms.
or. x > 2 cms. and. x < 14 cms
or. 2 cms < x < 14 cm
Step-by-step explanation:
find the answer here
What is 4 percent of $128.72 ?
Answer:
124.72
Step-by-step explanation:
Answer:
Step-by-step explanation:
4% of 128.72 = 0.04 * 128.72
= 5.1488
PLEASE HELP GIVING BRAINLIEST :)
Express as a power of 2
(2/root8)^3
[tex]\left(\dfrac{2}{\sqrt 8} \right)^3\\\\\\=\left(\dfrac{2}{2\sqrt 2} \right)^3\\\\\\=\left(\dfrac 1{\sqrt 2} \right)^3\\\\\\=\left[\left(\sqrt2 \right)^{-1} \right]^3\\\\\\=\left(\sqrt 2 \right)^{-3}\\\\\\=\left(2^{\tfrac 12} \right)^{-3}\\\\\\=2^{-\tfrac 32}[/tex]
The volume of a TV box needs to be 30.000 cubic centimeters. If the length is 10 less than four times the height and the width is less than the height, what is the required height of the box? PLS HELP I was hold h=40cm BUT HOWW?
Answer:
Since you do not explicitly give any formal restrictions on whether or not the dimensions must be integers, nor any relation with the width dimension. I found a solution with height equally to 20.768cm × width (19.768cm) × length (73.072 cm) Multiplying this together, we get 30,000 cubic cm
What is the solution to the equation 4 = 6? y = 1 y = 4 y = 500 y = 2000.