Answer:
a = ± [tex]\sqrt{\frac{x^2}{1-w} }[/tex]
Step-by-step explanation:
Given
x² = a² - a²w ← factor out a² from each term on the right side
x² = a²(1 - w) ← divide both sides by (1 - w)
[tex]\frac{x^2}{1-w}[/tex] = a² ( take the square root of both sides )
± [tex]\sqrt{\frac{x^2}{1-w} }[/tex] = a
(
a. Find the distance around the park to the nearest yard.
39
The distance is about
yards.
b. A new path and a bridge are constructed from point Q to the midpoint M of PR Find QM to the nearest yard.
QM
yd
c. A man jogs from P to Q to M to R to Q and back to P at an average speed of 150 yards per minute. To the neare
long does it take him to travel the entire distance?
It takes about
minutes
Type here to con
We have that the distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as
[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]From the Question we are told that
[tex]PQ=(50-10)=40\\\\QR=(80-10)70[/tex]
Generally the equation for the Resultant PR is mathematically given as
[tex]PR=\sqrt{PQ^2+QR^2}\\\\PR=\sqrt{70^2+40^2}\\\\PR=80yd[/tex]
a)
Generally the equation for the Distance around they park is mathematically given as
[tex]X=PQ+QR+PR\\\\X=80+70+40\\\\[/tex]
[tex]X=190yd[/tex]
b)
Generally the equation for the Path QM is mathematically given as
From the diagram we see that
[tex]QM=PM=MR\\\\QM=\frac{80}{2}\\\\[/tex]
[tex]QM=40yd[/tex]
c)
From the question we are told
Average speed of [tex]150yd/m[/tex]
Total distance traveled
[tex]D_t=40+40+40+70+40\\\\D_t=230yd[/tex]
Therefore
Time
[tex]T=\frac{D_t}{V}\\\\T=\frac{230}{150}[/tex]
[tex]T=1.5minutes.[/tex]
in conclusion
The distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as
[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]For more information on this visit
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6+m/2 = -3
Help me pleAseeee
Answer:
m = -18
Step-by-step explanation:
6 + m/2 = -3
Subtract 6 from each side
6 + m/2 -6 = -3-6
m/2 = -9
Multiply each side by 2
m/2 * 2 = -9*2
m = -18
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{6+ \dfrac{m}{2}=-3}}}\\\huge\boxed{\rightarrow\mathsf{6 + \dfrac{1}{2}m = -3}}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{\dfrac{1}{2}m+ 6 = -3}}\\\\\huge\boxed{\text{SUBTRACT 6 to BOTH SIDES}}\\\huge\boxed{\mathsf{\dfrac{1}{2}m + 6 - 6 = -3 + 3}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m = -9}}[/tex]
[tex]\huge\boxed{\text{MULTIPLY 2 to BOTH SIDES}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m \times 2 = 2 \times -9}}[/tex]
[tex]\huge\boxed{\mathsf{m = 2\times-9}}\\\huge\boxed{\mathsf{2\times-9 = m}}\\\huge\boxed{\mathsf{2\times-9 = \bf -18}}\\\\\huge\boxed{\textsf{Therefore, your answer: \bf -18}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
what is the median of these numbers? 4, 14, 7, 8, 12, 12, 5, 10
The median of that data set is 9.
Sort the numbers from least to greatest and find the middle number (that should be your median)
If there are 2 numbers in the middle of the set, then you take the average and that would be your median.
You are trying to make a hole in one on the miniature golf green
3
3
5
7
9 X
a. Write an absolute value function that represents the path of the golf ball.
3
$ (z) = – 31x/+6
b. Write the function in part (a) as a piecewise function.
f(x) =
if x < 6
if x26
Anyone who is interested in construction, please help! Pweeeeseeee(;´༎ຶٹ༎ຶ`)
Answer:
I have ans in the picture form.
Step-by-step explanation:
Take it
Solve the equation for Y. Then find the value of y for each value of X.
y+2x=5;x=-2,0,4
help me on this pls
Answer:
y=5-2x
2 5-2(2)=5-4=1
0 5-2(0)=5
4 5-2(4)=5-8=-3
Charlotte read a 608-page book in 16hours last month. How many pages per hour was that
Answer:
33
Step-by-step explanation:
608pages/16h = 33pages/h
Solve 1/3(2x - y) = z for x
PLEASE HELP SHOW WORK!!!!
Answer:
[tex] \frac{1}{3} (2x - y) = z \\ \frac{2}{3} x - \frac{y}{3} = z \\ \frac{2}{3} x = z + \frac{y}{3} \\ \frac{2}{3} x = \frac{3z + y}{3} \\ x = \frac{3z + y}{3} \div \frac{2}{3} \\ x = \frac{3z + y}{3} \times \frac{3}{2} = \frac{3(3z + y)}{6} \\ \\ x = \frac{3z + y}{2} \\ \\ x = \frac{3z}{2} + \frac{y}{2} [/tex]
I hope I helped you^_^
Hi, this is 3 questions In one! 1. Solve and simplify. 2/7 divided by 4/5
2. Convert the fraction to a decimal: 38/333
3. Convert the fraction to a decimal 12/111
THIS IS 3 in 1
Step-by-step explanation:
1.5/14
2.0.114114114....
3.0.108108108
plssss mark me brainliest
1. Ans; The choose D. 5/14
[tex] \frac{2}{7} \div \frac{4}{5} \\ \\ \frac{2}{7} \times \frac{5}{4} = \frac{5}{14} [/tex]
2. Ans; The choose B.(No D.)
[tex] \frac{38}{333} = 0.114[/tex]
3. Ans; The choose D.[tex] \frac{12}{111} = \frac{4}{37} = 0.108[/tex]
I hope I helped you^_^
A total of 388 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?
Answer:
97
Step-by-step explanation:
388 (number of tickets) / 4 (number of groups (adults, and the 3 times as many kids))
If the number of student tickets sold was three times the number of adult tickets sold, 97 adult tickets were sold.
Let's assume the number of adult tickets sold is 'x.'
According to the information given, the number of student tickets sold was three times the number of adult tickets sold. So, the number of student tickets sold is 3x.
The total number of tickets sold is the sum of the adult and student tickets, which is 388:
x + 3x = 388
Now, combine like terms:
4x = 388
To find the value of 'x,' divide both sides of the equation by 4:
x = 388 / 4
x = 97
To verify the result, let's find the number of student tickets:
Number of student tickets = 3 * 97 = 291
Now, let's add the adult and student tickets:
97 (adult) + 291 (student) = 388
The result checks out, and we have 97 adult tickets and 291 student tickets, which together sum up to the total of 388 tickets sold for the school play.
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Determine if the expression 8a – a4 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
The given expression
va polynomial.
represents
does NOT
represent
attempt 1 out of 2 / problem 1 out of max 1
Answer:
Represents
Step-by-step explanation:
Going over the basic definition of polynomial, an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division, we can see that the expression is indeed a polynomial.
Solve using Quadratic Formula
x^2 + 3x - 3 = 0
Answer:
a= 1 , b= 3 , c= –3
[tex]x = \frac{ - b \frac{ + }{} \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 3 \frac{ + }{} {} \sqrt{ {3}^{2} - 4(1)( - 3)} }{2(1)} \\ = \frac{ - 3 \frac{ + }{} \sqrt{9 + 12} }{2} = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = 0.79 \\ x = - 3.79[/tex]
I hope I helped you^_^
Jaulas father throws Kayla a graduation party that costs $773. He pays the DJ $250, $75 for the cake, and $4 per party guest for food. How many guests were at the party?
Answer:
112 guests
Step-by-step explanation:
I. If her total cost is 773$
When Total = DJ + Cake + Guest
773 = 250 + 75 + 4(x)
773 = 325 + 4(x)
773 - 325 = 4(x)
448 = 4x
x = 448/4
x = 112
That makes guests are 112
Plz help with these 2 questions WILL GIVE BRAINLIEST!!
Answer:
<ALS - <2 = <1
< LDA + <ADE = 180 degrees
Step-by-step explanation:
<ALS = <1+<2
<ALS - <2 = <1
< LDA + <ADE = 180 degrees since it forms a straight line
One-fourth of a number decreased by 12 is 6. Find the number.
Answer: 1/4n-12=6
1n/4-12=6
n=72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
let the number be n , then
[tex]\frac{1}{4}[/tex] n - 12 = 6 ( multiply through by 4 to eliminate the fraction )
n - 48 = 24 ( add 48 to both sides )
n = 72
Complete the set of ordered pairs for the relation.
{(x, y): y = 2 |x + 1| and x {-2, -1, 0, 1, 2}}.
(-2, __)
-2
-3
2
Answer:
Step-by-step explanation:
[tex]U=\{(x,y)\ \zeta\ y=|x+1| \ and\ x \in \{-2,-1,0,1,2\}\ \}\\\\\begin{array}{|c|c|}x&y\\---&---\\-2&2\\-1&0\\0&2\\1 & 4\\2&6\\---&---\\\end{array}\\\\U=\{(-2,2),(-1,0),(0,2),(1,4),(2,6)\}\\[/tex]
Answer:
2 / (-2,2)
Step-by-step explanation:
(3/5) + (-6/7)+(-2/5)+(3/14) find
Answer:
Step-by-step explanation:
Rearrange the givens
3/5 - 2/5 - 6/7 + 3/14
1/5 - 12/14 + 3/14
1/5 - 9/14
The lowest common multiple is 70
14/70 - 45/70 = - 31/70
l find it difficult to solve this problem. Please help.
Answer:
27 square are there in the given figure
evaluate the impact of risky behaviour on your personal expectations in relation to your career help with maths too
Step-by-step explanation:
In triangle ADE:
sum of all angles is 180.
3x-10+58+42=180
3x+90=180
3x=180-90
3x=90
x=90/3
x=30
As line DA and CB are parallel:
angle D=angle C
angle y=58
In angle BCE, sum of angles is 180.
z+58+42=180
z+100=180
z=180-100
z=80
Evaluate 3yz +20 -xy if x =2, y = -3, and z = 4
Answer:
Ans. is -10. Explanation is in the attachment.
Write –0.4 in simplest form.
Answer as a Fraction: -2/5
Step-by-step explanation:
-0.4 = -4/10
= -2/5
What type of number is 80i?
What is the cube root of 27?
The cube root of 27 is 3!!
Round your answer to the nearest hundredth
Answer:
200
Step-by-step explanation:
90-35=125
180-125=55
55x4=220
220= 200
Deana and Bernice are pen pals. The sum of
their ages is 48 years. Eight years from now
Deana will be three times Bernice's age. What
is Bernice's ages now?
Step-by-step explanation:
[tex]thank \: you[/tex]
please help me with this math is for my math homework
Answer:
that answer is (1)
hope that helps you
9514 1404 393
Answer:
1
Step-by-step explanation:
You can put either number in the form of the other to see they are equal. A number divided by itself gives a quotient of 1.
-1 1/10 = -(10·1 +1)/10 = -11/10 . . . . . matches the denominator
or
-11/10 = -1 1/10 . . . . . matches the numerator
__
(-11/10)/(-11/10) = 1 . . . . your quotient
_____
Additional comment
Here, we see that both numbers in the problem are negative, so we have an even number of minus signs. That means the quotient will be positive. Knowing this lets us eliminate the minus signs from the problem.
As you may know, there are a couple of (fully equivalent) ways to divide fractions.
1) "invert and multiply" or "dot swap"
(11/10) ÷ (11/10) = (11/10) · (10/11) . . . . . . . the denominator has been inverted
= (11·10)/(10·11) = 110/110 = 1
2) use the numerators when the denominators are equal.
(11/10) / (11/10) = 11/11 = 1 . . . . denominators of the fractions are both 10
2 1/6 x 4 1/2= and explain it
Answer:
9 3/4
Step-by-step explanation:
First you would want to multiply the whole number with their denominators and then add the numerator to that. 2*6+1 and 4*2+1 Then you keep the original denominator at the bottom of the fraction.
2*6+1/6 4*2+1/2 ---> 13/6 x 9/2
You would then simplify the crossing numbers 6 and 9. They both can be divided by three.
13/2 x 3/2 = 39/4
Now you would do long division where you divide 39 by 4
4 goes into 39 nine times subtracting 36 from 39.
You then end up with 1 which becomes you numerator, 4 is the new denominator and 9 is the whole number.
The answer of the given mixed numbers 2 1/6 x 4 1/2 is 9 3/4.
What is mixed numbers?A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers.
You should first multiply the entire number by the denominators of the other numbers, and then add the numerator to that result. 2*6+1 and 4*2+1 The original denominator is then kept at the bottom of the fraction.
(2*6+1)/6 x ( 4*2+1)/2 —-> 13/6 x 9/2
Next, you would streamline the intersection of numbers 6 and 9. They are both divisible by three.
13/2 x 3/2 = 39/4
You would now perform a long division by dividing 39 by 4.
4 multiplies 39 by 9 and subtracts 36 from 39.
In the end 3 becomes the numerator, 4 becomes the new denominator, and 9 is the total.
Therefore, 2 1/6 x 4 1/2 = 9 3/4.
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SOMEONE HELP PLEASE ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!
Answer:
[tex] {9}^{ - \frac{1}{2} }[/tex]Step-by-step explanation:
Given,
[tex] \frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{ {9}^{5} } } [/tex]
[tex] = \frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{9 \times 9 \times 9 \times 9 \times 9} } [/tex]
[tex] = \frac{ \sqrt[4]{9} \sqrt{9} }{9 \sqrt[4]{9} } [/tex]
[tex] = \frac{ \sqrt{9} }{9} [/tex]
[tex] = \frac{ {9}^{ \frac{1}{2} } }{ {9}^{1} } [/tex]
[tex] = {9}^{ \frac{1}{2} - 1} [/tex]
[tex] = {9}^{ - \frac{1}{2} } (ans)[/tex]
How many sides does a rhombus HAVE?
Simplify the expression to a polynomial in standard form:
(3x2 - 4x – 5)(-2x2 + 2x + 2)
Answer:
- 6[tex]x^{4}[/tex] + 14x³ + 8x² - 18x - 10
Step-by-step explanation:
Given
(3x² - 4x - 5)(- 2x² + 2x + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
3x²(- 2x² + 2x + 2) - 4x(- 2x² + 2x + 2) - 5(- 2x² + 2x + 2) ← distribute parenthesis
= - 6[tex]x^{4}[/tex] + 6x³ + 6x² + 8x³ - 8x² - 8x + 10x² - 10x - 10 ← collect like terms
= - 6[tex]x^{4}[/tex] + 14x³ + 8x² - 18x - 10
