If the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]
Recall:
Area of a rectangle = length x widthGiven the algebraic expressions for the dimension of the rectangular court as:
length = (7x + 8) ft
width = (3x + 6) ft
Therefore,Area = [tex](7x + 8) \times (3x + 6)[/tex]
Apply the distributive property[tex]Area =7x(3x + 6) +8(3x + 6)\\\\Area = 21x^2 + 42x + 24x + 48\\\\[/tex]
Add like terms[tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]
Therefore, if the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]
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6 * 2 /( -1)4* 5-(8+3)
Answer:
-251
Step-by-step explanation:
Following BEDMAS/PEMDAS
6*2/(-1)4*5-(8+3); first simplify the brackets/parenthesis
= 6*2/(-1)4*5-11; now do divisons and multiplications going from left to right
= 12/(-1)4*5-11 = -12*4*5-11 = -48*5-11 = -240-11
= -251
Question 1 (2 points)
Find the missing side.
А b с
14
23
B
O
37
Answer:
USED YOUR BRAIN NOT BRAINLY...
Step-by-step explanation:
TY
You counted 28 big dogs and 20 small dogs running around at the park.
What was the small dogs to big dogs ratio ?
Answer:
5:7
Step-by-step explanation:
3⁸ × 3⁹ in index form simplified
Answer:
6561 x 19683
Step-by-step explanation:
.............
Select the quadrilateral for which the diagonal is a line of symmetry.
A. parallelogram
B. square
C. trapezoid
D. isosceles trapezoid
Answer:
b
Step-by-step explanation:
cut it in half, boom equal
Answer:
b
Step-by-step explanation:
Graph the line with the equation y = 6/5x-2
Answer:
Step-by-step explanation:
The graph of equation is shown in figure.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line is,
⇒ y = 6/5x - 2
Now,
Since, The equation of line is,
⇒ y = 6/5x - 2
Clearly, The slope = 6/5
And, The y - intercept = - 2
Thus, The graph of equation is shown in figure.
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Use the model why 522 is divisible by 9
Answer:
The rule for divisibility by 9 works because numbers are written in base 10.
Step-by-step explanation:
Will give brainly if correct
Hi,
1 mile ≈ 1,6 kilometers
a.
11,9 miles ≈ 11,9 * 1,6 = 19,04 kilometers
b.
46,2 miles ≈ 46,2 * 1,6 = 73,92 kilometers
c.
121 miles ≈ 121 * 1,6 = 193,6 kilometers.
→ * = multiplication
✅(. ❛ ᴗ ❛.)
ayuda con esto por favor
[tex] \sqrt[5]{ \frac{3}{8} - \frac{11}{32} } \\ = \sqrt[5]{ \frac{12 - 11}{32} } \\ = \sqrt[5]{ \frac{1}{32} } \\ = \sqrt[5]{ \frac{ {1}^{5} }{ {2}^{5} } } \\ = \sqrt[5]{( \frac{1}{2} {)}^{5} } \\ = \frac{1}{2} [/tex]
[tex] \sqrt[3]{ \frac{1}{4} + \frac{5}{108} } \\ = \sqrt[3]{ \frac{27 + 5}{108} } \\ = \sqrt[3]{ \frac{32}{108} } \\ = \sqrt[3]{ \frac{8}{27} } \\ = \sqrt[3]{ \frac{ {2}^{3} }{ {3}^{3} } } \\ = \sqrt[3]{( \frac{2}{3} {)}^{3} } \\ = \frac{2}{3} [/tex]
[tex](1 - \frac{1}{10} ) ^{3} \\ = ( \frac{10 - 1}{10} ) ^{3} \\ = (\frac{9}{10} {)}^{3} \\ = \frac{ {9}^{3} }{ {10}^{3} } \\ = \frac{729}{1000} [/tex]
Hope it helps.
Do comment if you have any query.
hey i need all three boxes solved please
giving 12 points
Answer:
it says 6 points not 12 points
Step-by-step explanation:
Find the slope of the line containing the points (-3,-4) and (7,-6).
Answer:
-1/5
Step-by-step explanation:
slope formula
What would the slope of a line perpendicular to y=-4x+5 equal?
Answer:
Using the slope-intercept form, the slope is 4 4 .
Answer: Using the slope-intercept form, the slope is 4 4 .
Explanation: so your answer is 4 4.
what is the equation in slope intercept form of the line that has a slope of -7 and y intercept of 3/11
Answer:
y = -7x + 3/11
Step-by-step explanation:
Drake is an online sales representitve who makes $37,500 per year plus 6.75 for each fee sales he makes. if drake makes an avarage of 200 sales per month what are his annaual earnings?
Answer:
no hes not hes a rapper..........Jk the answer is 53700
Step-by-step explanation:
Step-by-step explanation:
1,350 a month
16,200 a year
Choose the steeper line.
y=1/2x-3
or
y=1/4x -8
Hello!
y=1/2x-3 is steeper than y=1/4x-8.
We calculate the slope using Rise/Run.
The rise is 1, and the run is 2 (how many units we move left of right)
If you graph these lines, you will see that the line y=1/2x-3 is steeper than y=1/4x-8
Hope this helps!
~Just a cheerful gal
Answered by
[tex]SilentNature[/tex]
If tan^2 = 1-a^2, then the value of sec+tan^3 cosec is
Pls explain fast
Answer:
for example okk then you will try
Answer: (1) (2 – e2)3/2
Solution:
Given,
tan2θ = 1 – e2
sec θ + tan3θ cosec θ
= sec θ + (sin3θ/cos3θ) (1/sin θ)
= sec θ + tan2θ sec θ
= sec θ(1 + tan2θ)
= √(1 + tan2θ) (1 + tan2θ)
= (1 + tan2θ)3/2
= (1 + 1 – e2)3/2
= (2 – e2)3/2
how far does the object go
2 hours at 75km\h
Answer:
150 miles per hourStep-by-step explanation:
Objective: finding the distance
Formula: speed × time = distance
75 × 2 = 150
final answer: 150 mph
what number is 5 times greater then 6
Answer:
if you are talking about 5x6 then the answer would be 30 but if not please clarify :)
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
6x5=30 so I believe the answer to your question to be 30
HIGH POINTS/WILL MARK BRAINLIEST
Consider the leading term of the polynomial function. What is the end behavior of the graph?
2x^7– 8x^6– 3x^5– 3
Answer:
The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.
if pepsi Bottles 8-pack or cans 12-pack 3 for $12.88 how much for 1 pack?
explain
Answer: $4.29?
Step-by-step explanation:
3 pack /3 = $12.88 /3
1 pack = 4 22/75 or approx $4.29
help asap please needed
Answer:
it should be b
Step-by-step explanation:
if wrog please correct me also can u give me brainlist
Answer:
B
Step-by-step explanation:
63 should be your answer
Would appreciate Brainliest
Hello I need plzzzz help
Answer:
The number of hours Jenny babysits
Step-by-step explanation:
Since we know that the 10 is the fixed fee for the babysitting services and 5 represents the amount charged per hour, it is safe to say x represents the number of hours Jenny babysits.
Ex.: Let us say she baby sits for 3 hours. 3 would take the place of the x
5(3)+10. This means Jenny will charge the person she babysat for a total of
$15 just for the hours alone.
Hope this helps! :)
Answer:
x represent the number of hours Jenny Babysits
Step-by-step explanation:
since she charges $5 per hour, then X is always how many hours
Help me pleaseeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
a).
perimeter=326 m
length l=89 m
width w=?
Perimeter of a rectangle=2(l+b)
2(89+w)=326
89+w=326/2=163
w=163-89=74 m
b).
area=4648 cm^2
width=56 cm
length=4648/56=83 cm
round 4,204 to the nearest hundred
Answer:
4200
hope helpful <3 !!!!!!!!!!!!!
Find the perimeter.Simplify your answer.
Answer:
20c+14
Step-by-step explanation:
To find the perimeter we have to add up all the sides
4c+6c+7+4c+6c+7
Combine light terms
20c+14
Answer:
Well your not given C so we just leave that be and we can just add up all 4 sides since perimeter means outside length total. Now when added up,
6c+7+6c+7+4c+4c= 20c+14
20c+14 is the perimeter
Alg 2-7_2 BR Trigonometry
To approach the runway, a pilot of a small plane must begin a 5° descent starting from a height of 1732 ff above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach( how far does the airplane have to fly)?
0 3.7 mi
0 3.8 mi
0 0.3 mi
0 19,872.5 mi
==============================================================
Explanation:
Check out the diagram below.
Those pair of 5 degree angles shown are congruent alternate interior angles. We'll use the sine rule to find the hypotenuse x (which is some measurement in feet).
sin(angle) = opposite/hypotenuse
sin(5) = 1732/x
x*sin(5) = 1732
x = 1732/sin(5)
x = 19,872.4713415001 approximately
x = 19,872.5
It's tempting to say that choice D is the final answer. However, the result we just got is in feet, not in miles. To convert from feet to miles, we divide by 5280.
19,872.5 ft = (19,872.5)/5280 = 3.7637 miles
That then rounds to the final answer of 3.8 miles (choice B).
------------
Alternatively, you can convert 1732 ft to miles to get roughly 1732/5280 = 0.328 miles. Then you should solve this equation for x
sin(5) = 0.328/x
it should lead you to x = 3.8 miles
round up 28.046 to the nearest hundredth
Answer:
28.05
Step-by-step explanation:
In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type
Answer:
17 pages
Step-by-step explanation:
Let L = number of pages printed Larger type
S = number of pages printed smaller type
the article is allow 21 full pages in a magazine. -->L + S = 21
1,800L + 2, 400S = 48, 000 (we can divide 100 to make the math easier)
18L + 24S = 480
Solve:
L + S = 21
18L + 24S = 480
we can use elimination by eliminating 18L so we can isolate the value of S
-18 (L + S = 21)
18L + 24S = 480
-18L - 18S = 378
18L + 24S = 480
6S = 102
S = 17
Jane needs to make a four-letter password. If the first letter has to be a vowel, how many possibilities are there to choose from where y is not a vowel
The number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
We need to find the number of ways a four letter password can be made The first letter is fixed to be a vowel.
There are 10 vowels (5 of lowercase and 5 of upper case).
Thus, 10 ways of choosing the first letter.
Second letter can be any of the 52 letters(26 of lowercase and 26 of uppercase).
Similarly, third and fourth letter can be any of the 52 letters.
Thus, using the product rule, the number of ways of making the four letter password is:
[tex]N = 10 \times 52 \times 52 \times 52 = 1406080[/tex]
(the answer can be different if we consider only either lowercase letters or only upper case letters. In those cases, there would be [tex]5 \times 26^3 = 87880[/tex] ways to make such passwords).
We used product rule, since we wanted to do the choosing of all the four letters for password, and we knew the number of ways each of them can be done individually.
Thus, the number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080
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the diameter of a circle is 8 centimeters