Answer:
CD = 4DE = 24CE = 28Step-by-step explanation:
The segment addition theorem tells you ...
CD +DE = CE
x^2 +12x = 32 -2x
Subtract the right side to put this in standard form.
x^2 +14x -32 = 0
(x +16)(x -2) = 0
x = -16 or 2
In order for DE to have a positive length, we must have x > 0. So ...
CD = x^2 = 2^2 = 4
DE = 12x = 12(2) = 24
CE = 32 -2x = 32 -2(2) = 28
The perimeter of the tennis court is 228 feet. What are the dimensions of the court? Write the equation for the situation: What is the width of the court? What is the length of the court?
Answer:
It’s 36 by 78 tennis court
width = 36 ft.
length = 78 ft.
Step-by-step explanation:
2(w+2w+6)=228 feet
2w+4w+12=228
6w=228-12
6w=216
w=36
So, 2w+6=78
It’s 36 by 78 tennis court
width = 36 ft.
length = 78 ft.
The dimensions of the tennis court can be determined by solving the equation system: width (w) = 42 feet and length (l) = 96 feet.
To find the dimensions of the tennis court, we can set up a system of equations based on the given information:
Equation for the perimeter:
The perimeter of a rectangle is given by the formula:
P = 2(length + width).
In this case,
the perimeter is 228 feet, so the equation gives:228 = 2(l + w)
Equation relating length and width: It is stated that the width (w) is equal to the length (l), which can be expressed as:
w = l
To solve the system of equations:
Substitute the value of l from the second equation into the first equation:
[tex]228 = 2((2w + 6) + w)[/tex]
Simplifying the equation:
[tex]228 = 2(3w + 6)[/tex]
Divide by 2 on both sides
[tex]114 = 3w + 6[/tex]
Subtract by 6 on both sides
[tex]108 = 3w[/tex]
Divide by 3 on both sides
[tex]w = 36[/tex]
Substituting the value of w back into the second equation:
[tex]l = 36[/tex]
Therefore, the width of the tennis court is 36 feet, and the length is 96 feet.
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Lorie is using long division to find the quotient of 13 + 6r2 + 5 and 12 + 1 – 1, as shown.
41
+ 5 –
12 + - 1
I2 + 1 - 1) 1 3 + 612 + 0.1 + 5
(13 + 12 – 1
-
5.12 + I + 5
(5.12 + 51 – 5)
-4r + 0
What mistake did Lorie make?
ОА
She combined the constants incorrectly in the last step.
OB.
The last term in the quotient has an incorrect denominator.
ОС. .
She added an extra term to the dividend.
OD.
second term in the quotient should be 7.
Answer: she combined the constants incorrectly in the last step.... i just got it right on the test
Answer:look at the step by step explanation for answer
Step-by-step explanation:
what numbers are needed for: _*(_+_)/_=6
Answer:
4(1+2)/2 = 6
Step-by-step explanation:
Think about multiples of 6 (I thought of 12)
"Think 'What' x 'what' will make the lowest multiple of 6"
The middle value of the data set is
Answer:
The middle value of the data set is called/labled the median
Step-by-step explanation:
if there is a odd (1,3,5...)number of number in the data set circle the middle two and add them and divide by two and that will be your median
hope it helps:)
Also, just look at the number in the middle of the data set to figure out the median
Solve for the distance from point A to point B. Round your answer to
nearest tenth.
A(5,4) and B(-4,-3)
Answer:
11.4
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
1. [tex]d=\sqrt{(-4-5)^2+(-3-4)^2}[/tex]
2. [tex]d=\sqrt{(-9)^2+(-7)^2}[/tex]
3. [tex]d=\sqrt{81+49}[/tex]
4. [tex]d=\sqrt{130}[/tex]
5. [tex]d=11.4017[/tex]
6. [tex]d=11.4[/tex]
NEED ASAP
Change the percent to a decimal.0.4% =
A 0.004
B 0.4
C 4.0
D 0.04
Answer:
A)0.004
If you do the math you should get this answer
oweikeme has 2500 Naira and bought the following items from the bookshop: 60 ballpoint pens at 15 Naira each, two dozen of exercise books at 5 Naira each,8 drawing books at 80 Kobo each how much has he have left
Answer:
1480
Step-by-step explanation:
60x15=900
24x5=120
there is no mention of qweikeme having any kobo
Which of the following are acceptable weights? 13.5 oz
13.8 oz
14.15 oz
14.2 oz
14.3 oz
Answer:
13.8 oz
14.15 oz
14.2 oz
Step-by-step explanation:
trust me
Answer:
B, C, D
Step-by-step explanation:
A calculus exam that was taken by 94 students is recorded and normally distributed. The mean score on the exam is 78 and the standard deviation is 2.4. What percent of the scores are in the 70.8 and 85.2 range?
Answer:
99.73%
Step-by-step explanation:
If you have a calculator with distribution functions, this problem boils down to using a single command:
norm(70.8, 85.2, 78, 2.4) = 0.9973
This tells us that 99.73% of the scores are in the 70.8-85.2 range.
are 18 and 2x like terms?
Answer:
no
Step-by-step explanation:
Expand
Your answer should be a polynomial in standard form -4w(w^2-9)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 4 {w}^{3} + 36w}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 4w( {w}^{2} - 9})[/tex]
Distribute -4w through the parentheses
[tex] \dashrightarrow{ \sf{ - 4 {w}^{3} + 36w}}[/tex]
Hope I helped!
Best regards! :D
The standard form of the polynomial -4w(w²-9) will be -4w³+36w.
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The highest degree of terms is written first, followed by the next degree, and so on, to represent a polynomial in standard form.
The given expression can be converted to the standard form as below,
P = -4w(w²-9)
P = ( -4w) x (w²) + ( 4 x 9w)
P = -4w²+36w
Therefore, the standard form of the polynomial -4w(w²-9) will be -4w³+36w.
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3. Simplify. *
5m3 + 2m– 7m3 – 8m
Step-by-step explanation:
5m³ + 2m - 7m³ - 8m
= -2m³ -6m
= -2m(m² + 3)
What is the area of the square of the leg 6
Answer:
A=a2/ a squared
Solve 2|x - 1| >= 10
Answer:
[tex]\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}[/tex]
Step-by-step explanation:
[tex]\bold{2|x-1|\geqslant10}\\\\{}\ \div2\qquad\div2\\\\\bold{|x-1|\geqslant5}\\\\\bold {x-1\geqslant5\qquad\quad\vee\qquad x-1\leqslant-5}\\\\\bold {x\geqslant6\qquad\qquad\vee\qquad\ \ x\leqslant-4}\\\\\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}[/tex]
Write g(x) in terms of f(x) after reflecting the graph of f(x) across the y-
axis. *
Answer:
g(x)=f(-x) , the dot on the x axis is negative so multiply it by a another negative to get a positive
Here is a list of numbers:
11, 19, 2, 7, 8, 1,9,9,16,1
State the median.
HELP ME ANSWER THIS PLZ!!!!!!
Answer:
25% off $60 = $15
15% off $60 = $9 - 10%= $0.90
Step-by-step explanation:
$60 divided by 4= 25 x 4 = 100 is the whole number
1. Here is a map that shows parts of Texas and
a. About how far is it from Amarillo to Oklahoma City?
b. Driving at a constant speed of 70 miles per hour, will it be possible to make this
trip in 3 hours?
Answer:
a). 240 miles (Approx)
b). Trip can't be covered in 3 hours with a constant speed = 70 miles pr hour
Step-by-step explanation:
a). As the scale has been given at the bottom. Length of the scale represents the distance between two points.
Now by measuring the distance between these stations, approximate distance between Amarillo and Oklahoma = 4(length of the scale)
= 4×60
= 240 miles.
b). Driving at a constant speed = 70 miles per hour
Distance covered in 3 hours = 70 × 3
= 210 miles
Therefore, distance of 240 miles between these stations can't be covered with the driving speed 70 miles per hour in 3 hours.
Which rule describes the relationship between the input and output pairs in the following table?
Input
Output
10
5
10
20
15
30
A)Add 10 to the input to get the output
B)Multiply the input by 2 to get the output
C)Multiply the input by 3 then subtract 5 from the result to get the output
Answer:
B)Multiply the input by 2 to get the output
Step-by-step explanation:
5x2=10
10x2=20
15x2=30
Set up an equation and solve for x
X
2x
3x
Equation
Step-by-step explanation:
x+2x+3x=180
6x=180
divide both sides by 6
x=30°
a family uses 1303 kWh of electric energy in a month. if the power company charges $0.08 cents per kilowatt, what is the total electric bill for the month?
M=2*2*3*5*5 and N=2*2*2*3*3*7 find the largest number that divides exactly M and N
Answer:
6
Step-by-step explanation:
M=2*2*3*5*5=300
N=2*2*2*3*3*7=504
Common factors between the two numbers are 2 and 3
The GCF(greatest common factor):
2×3 = 6
To see if it is true:
300/6 = 50
504/6 = 84
6 is the answer to the question.
brody is working two summer jobs, making $10 per hour
thiis isnt specific but if hes working two summer jobs and making 10 per hour than Brody would be making less than min. wage
-2a>6, then a is what?
Answer: a < -3
Step-by-step explanation:
-2a > 6 Divide both sides by -2 and remember if you divide both sides of an inequality by a negative number the sign switches.
-2a > 6
a < -3
Answer:
a < -3
Step-by-step explanation:
It less than -3
How many solutions can be found for the equation 3x − 2 = 3x + 5?
Zero
One
Two
Infinitely Many
Answer:
Zero
Step-by-step explanation:
because there is no value for the variable that could make the equation work.
Hope this helped!!
btw this was right in the FLVS test.
Charles’ law describes the relationship between the initial and final temperature and volume of a gas held at a constant pressure. [tex]\frac{v_{i} }{V_{f} }=\frac{t_{i} }{t_{f} }[/tex] A). Solve the equation for [tex]v_{f}[/tex] B). Solve the equation for [tex]t_{f}[/tex] Show Step by Step
Answer:
t= 12.433
Step-by-step explanation:
Mane and Seth are working on a lab activity where they are tracking some leaves that are
floating past them in a rain runoff channel near their home. They have to measure how far the
leaves travel in different amounts of time. They place a long tape measure along side of the
runoff channel to measure distance A borrowed stopwatch will let them record the amount of
time. They plan to have time intervals that begin at two seconds, and increase by two's until
they get to 20 seconds. The data they recorded is below.
Which is the independent and which is the dependent variable
Answer:
Independent = time intervals
Dependant = how far the leaves travel
Step-by-step explanation:
independent = what you change
dependent = what you measure
Answer
a tape measure
Step-by-step explanation:
Nathan read a total of 630 pages over 30 hours. In all, how many hours of reading will Nathan have to do this week in order to have read a total of 714 pages? Solve using unit rates.
Answer:
34 hours
Step-by-step explanation:
Given that,
Nathan read a total of 630 pages over 30 hours.
We need to find times of reading will Nathan have to do this week in order to have read a total of 714 pages.
1 page can be read in [tex]\dfrac{30}{630}\ \text{hours}[/tex]
To read 714 pages, it will take
[tex]\dfrac{30}{630}\times 714\ \text{hours}\\\\=34\ \text{hours}[/tex]
Hence, it will take 34 hours to read 714 pages.
not sure how to complete this, info is in the photo.
At a picnic there are 7 pieces of fruit for every 4 vegetables. If there are 28 pieces of fruit, how many vegetables are there?
Step-by-step explanation:
There are 7 fruits for every 4 vegetables.
If there are 28 fruits, the number of fruits have multiplied by 4. This means that the number of vegetables have multiplied by 4 as well.
=> 4 * 4 = 16 vegetables.
Hence there are 16 vegetables.