Answer:
10.5 meters
Step-by-step explanation:
in their starting position all three dancers form a right triangle with legs equal to 2m and 4m.
Jada to Ken = 4m
From Ken's position to Trisha's, Jada goes another 2[tex]\sqrt{5}[/tex]m*
From Trisha's position to her original position, Jada goes another 2m
* to get this value: 2² + 4² = x²
x² = √20 = 2√5
Evaluate 6x - 3, when x = 2 1/4
Answer:
10.5
Step-by-step explanation:
Plug in 2 1/4
10.5 or 10 1/2
Answer:
21/2 in fractions or 10.5 in decimals
Step-by-step explanation:
6(2 1/4)-3 multiply the denominator with the whole number 2 and add 1
6x 9/4-3 reduce the number with the gratest common factor 2
3 x 9/2-3 when dealing with fraction just multiply denominator
27/2-3 the denominator will stay the same always
21/2 Calculate the difference
1.5:4=9:(2y+5)
Solve for y
Answer:
y = 9.5
Step-by-step explanation:
Express the ratios in fractional form, that is
[tex]\frac{1.5}{4}[/tex] = [tex]\frac{9}{2y+5}[/tex] ( cross- multiply )
1.5(2y + 5) = 36 ( divide both sides by 1.5 )
2y + 5 = 24 ( subtract 5 from both sides )
2y = 19 ( divide both sides by 2 )
y = [tex]\frac{19}{2}[/tex] = 9.5
Help me out I will gave Brainliest
Step-by-step explanation:
(3x-2y=-16)first put in standard form y=mx+b
(-2y=-3x-16) divide both sides by -2
y=3/2x+8
Answer:
C
Step-by-step explanation:
By opposite I'm going to assume they mean the perpindicular line
To do this you first need to convert the function into linear form
So we have 3x-2y=-16
and so we can add 2y and 16 to both sides to get
3x+16=2y
then divide by 2 to get
3/2x+8=y
This is our function in linear form but now we need the opposite by taking the negative reciprocal of the slope
This means our near equation is now -2/3x+8 while none of them give that as an option directly if you simplify C it will match
Solve the equation
2x^2 + 8x - 1 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Step-by-step explanation:
2x² + 8x - 1 = 0
2(x + 2)² - 9 = 0
2(x + 2)² = 9
(x + 2)² = 4.5
x = √4.5 - 2 or x = -√4.5 - 2
x = 0.12 or x = -4.12.
4(4y - 3x) Need help
Answer:
4(4y - 3x)
16y -12x
you can't simplify this any further
Find the sum.
(3/8x-8)+(3/8x-3)
Step by step explain please!
Answer: 3/4x + -11
Step-by-step explanation:
3/8x -8 + 3/8x - 3
= 3/8x + - 8 + 3/8x + -3
Combine like terms
3/8x + -8 + 3/8x + -3
=(3/8x + 3/8x) + ( -8 + -3)
Answer: 3/4x + -11
PLEASE help ASAP!
Thank you!
Answer:
I thinks its B.14 units
Step-by-step explanation:
HOPE THIS HELPS IF NOT THEN SORRY
Answer:
the answer is 10
Step-by-step explanation:
the formula for distance is square root ( of the entire equation),, (x1-x2) squared +(y1-y2) squared so (-5-3)+(4-(-2)) ( both answers squared) equals -8 squared plus 6 squared and you get 64+36 which is 100 and the square root of 100 is 10. Hope that wasn't confusing
What is the area the following circle either enter an exact answer in terms of pie or use 3.14 for pie enter your answer as a decimal. R=5 
Answer:
it will be 78.5 units ²
URGENT FOR MY FINAL GRADE DEPENDS IF I PASS THIS CLASS PLEASE HELP
Answer:
The Answer is B
Step-by-step explanation:
PEMDAS
4 to the power of 3 is 64
100/5 = 20
20 * 4 = 80
80 + 64 = 144
The absolute value of -12 is
Answer:
12
Step-by-step explanation:
If the original number is zero or positive, then the absolute value of the number is simply the original number. If the number is negative, then the absolute value is the original number with the negative sign stripped away. For example: Notice that an equation with an absolute value represents two possibilities. could i get brainliest please
Write the rule for the linear function. Remember a function rule is written using f(x)
Answer:
The rule for the linear function wil be:
f(x) = xStep-by-step explanation:
We know that linear function can be represented using the slope-intercept formula
y = mx+b
where m is the slope and b is the y-intercept
Given the function is linear
Taking two points
(0, 0)(1, 1)Finding the slope between (0, 0) and (1, 1)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [1 - 0] / [1 - 0]
= 1 / 1
= 1
Thus, the slope of the line = m = 1
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 0
Thus, the y-intercept b = 0
Now, substituting m = 1 and b = 0 in the slope-intercept form of linear function
y = mx+b
y = (1)x + 0 ∵ m = 1, b = 0
y = x
f(x) = x ∵
Therefore, the rule for the linear function wil be:
f(x) = xPlease I really need help
This is my last point
Show workings please
Step-by-step explanation:
By rotating a figure,
The length of its sides remain the same.
Therefore line AB = line A'B'.
=> 5x - 14 = 4x + 4
=> x = 18
Hence, line AB = 5(18) - 14 = 76.
Answer:
The length of AB = 76 units.
Step-by-step explanation:
We know that Rotations, just like reflections, and translations, are termed isometric.
In other words, these transformations do not alter the size of the figure.
If the size and shape of the figure are not altered, then the figures are termed as congruent.
Given
AB = 5x-14
A'B' = 4x+14
As A'B'C'D' is obtained by rotating ABCD,
so
AB = A'B'
substituting AB = 5x-14 and A'B' = 4x+14
5x-14 = 4x+14
5x - 4x = 14+14
x = 18
Thus,
AB = 5x-14
substitute x = 18
AB = 5(18)-14
AB = 90 - 14
AB = 76
Therefore, the length of AB = 76 units.
- tan^2x + sec^2x = 1 proving trig equations
Answer:
Is C
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sec²x = 1 + tan²x
Consider the left side
- tan²x + sec²x
= - tan²x + 1 + tan²x ← collect like terms
= 1
= right side, thus proven
find the base of a parallelogram when the area is 180 feet squared and the height is 15 feet
Answer:
The base is 12ft
A number is squared, then doubled and then 4 is subtracted. The result is the original number. What could the number be?
(Give answers to 2 d.p)
Answer:
umm its B cause i got it right hope this helped :)
Step-by-step explanation:
Use the figures to complete the statements proving the converse of the Pythagorean theorem.
Drag and drop a phrase, value, or equation into the box to correctly complete the proof.
To prove the converse of the Pythagorean theorem, we must show that if △ABC has sides of a, b, and c such that a² + b² = c² , then △ABC is a right triangle.
Define △DEF so that it is a right triangle with sides a, b, and hypotenuse x. By the Pythagorean theorem, a² + b² = x² .
Since a² + b² = c² and a² + b² = x², it must be true that c² = x². Since sides of triangles are positive, then we can conclude that Response area. Thus, the two triangles have congruent sides and are congruent.
Finally, if △ABC is congruent to a right triangle, then it must also be a right triangle.
Two right triangles with points labeled in capital letters and sides labeled in lower case letters.
Answer:
def
Step-by-step explanation:
trust meh
took quiz
Answer:
it is DEF
Step-by-step explanation:
i did the k12 quiz
Peter made 19 1/8 cups of chili for the football game. If 14 3/4 cups of the chili were eaten how many cups of chili did peter have left over
Answer:
Step-by-step explanation:
Please help!
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.
Answer:
The opposite of -10·t and t - 10·t is t
Step-by-step explanation:
1) The opposite of 4·x and -5 + 4·x is given as follows;
-4·x + (-5 + 4·x) = -4·x -5 + 4·x = -4·x + 4·x - 5 = 0 - 5 = -5
2) The opposite of -10·t and t - 10·t is given as follows;
-(-10·t) + (t - 10·t) = 10·t + t - 10·t = 10·t - 10·t + t = 0 + t = t
3) The opposite of (-7 - 4·v) and -4·v is given as follows;
-(-7 - 4·v) + (-4·v) = -1 × (-7 - 4·v) - 4·v = 7 + 4·v - 4·v = 7 + 0 = 7
what is the image point of (8,-7) after a translation right 1 unit and up 4 units?
Answer:
It is (9,-3) because x increased by 1 unit and y increased by 4 units.
Answer:
[tex](9,-3)[/tex]
Step-by-step explanation:
[tex](8,-7)[/tex]
If it moves right, add the value to the x-coordinate. If it moves left, subtract the value from the x-coordinate. In this case, because the point was translated 1 unit right, we add 1 to the x-coordinate 8.
[tex](9,-7)[/tex]
If it moves up, add the value to the y-coordinate. If it moves down, subtract the value from the y-coordinate. In this case, because the point was translated 4 units up, we add 4 to the y-coordinate.
[tex](9,-3)[/tex]
I hope this helps!
A rectangular soccer field may have a width between 50 and 100 yards and a length
between 100 and 130 yards. One particular soccer field has a perimeter of 320 yards. Its
length measures 40 yards more than its width. What are the dimensions of this field?
The length is___yards.
The width is____yards.
Answer:
[tex]perimeter = 2(l + w) \\ but \: length = 40 \times width \\ perimeter = 2(40w + w) \\ p = 2(41w) \\ 320 = 2(41w) \\ w = \frac{320}{(2 \times 41)} \\ w = 3.902 \: yards \\ length = 40 \times w \\ = 40 \times 3.902 \\ l = 156.08 \: yards[/tex]
9514 1404 393
Answer:
length: 100 yardswidth: 60 yardsStep-by-step explanation:
Let w represent the width of the field. Then the length is (w+40), and the perimeter is ...
P = 2(L +W)
320 = 2((w+40) +w) . . . . fill in values
160 = 2W +40 . . . . . . . . . divide by 2, collect terms
80 = w +20 . . . . . . . . . . . divide by 2
60 = w . . . . . . . . subtract 20
w+40 = 100
The length is 100 yards; the width is 60 yards.
Find the equation of the straight line that is parallel to 2y - x = 7 and bisects the line joining the points (3,1) and (1,-5).
Answer:
yes that is completely correct
Determine whether the function f(x) = -9.5 + 6 + x² is even, odd or neither.
Answer:
The function f(x) = -9.5 + 6 + x² is neither odd or even.
Step-by-step explanation:
We know that a function is termed as 'even' when
f(-x) = f(x) for all x
We know that a function is termed as 'odd' when
f(-x) = -f(x) for all x
Given the function
f(x) = -9.5x⁵ + 6 + x²
substitute x with -x
f(-x) = -9.5(-x)⁵ + 6 + (-x)²
as (-x)⁵ = -x⁵, so
f(-x) = -(-9.5x)⁵ + 6 + (-x)²
Apply exponent rule: (-a)ⁿ = aⁿ, if n is even
f(-x) = -(-9.5x)⁵ + 6 + x²
Apply rule: -(-a) = a
f(-x) = 9x⁵ + 6 + x²
As
f(-x) ≠ f(x) ≠ -f(x)
Therefore, the function f(x) = -9.5 + 6 + x² is neither odd or even.
5. Company “A” charges $80 a month for
their cell phone plan and $5 for a 100MB
of Data. Company “B” charges $60 a
month for their cell phone plan and $10 for
a 100MB of Data. How many mega bytes
of data used would make the cost from
either company equal?
Answer:
400 megabytes of data used will make the cost from either company equal.
Step-by-step explanation:
Given that:
Per month charges of Company A = $80
Charges of 100 MB = $5 = [tex]\frac{5}{100}=\$0.05\ per\ MB[/tex]
Let,
x be the number of MBs consumed.
y be the total charges.
y = 0.05x+80
Per month charges of Company B = $60
Charges of 100 MB = $10 = $0.1 per MB
y = 0.1x+60
For equal charges;
0.05x+80 = 0.1x + 60
80-60 = 0.1x-0.05x
20 = 0.05x
[tex]\frac{0.05x}{0.05}=\frac{20}{0.05}\\x=400[/tex]
Hence,
400 megabytes of data used will make the cost from either company equal.
The local comic book store is having a closeout sale on their last 375 comic books and Pokémon cards. They are selling single issue comics for $5.79 and Pokémon boosters packs for $3.35. Their goal is to make $1345 to break even on their current final cost. Approximately how many of each do they need to sell?
Answer:
36 comic books and 339 Pokemon cards
Step-by-step explanation:
Let number of comic books be [tex]x[/tex] and number of Pokemon cards be [tex]y[/tex].
Total number of comic books and Pokemon cards is [tex]375[/tex]. So we get the equation
[tex]x+y=375\\\Rightarrow y=375-x[/tex]
Cost of one comic book is $5.79 and one Pokemon card is $3.35.
They need to make $1345 so we get the equation
[tex]5.79x+3.35y=1345\\\Rightarrow 5.79x+3.35(375-x)=1345\\\Rightarrow 5.79x-3.35x+3.35\times 375=1345\\\Rightarrow x=\dfrac{1345-3.35\times 375}{5.79-3.35}\\\Rightarrow x=36.37\approx 36[/tex]
[tex]y=375-x=375-36\\\Rightarrow y=339[/tex]
So, they need to sell approximately 36 comic books and 339 Pokemon cards.
A Stock company was selling at 28$ a share a month later it was selling at 21$ a share what is the percent loss ?
Answer:
25% loss
Step-by-step explanation:
21 is 75% of 28, because 7*3 = 21 and 7*4 = 28
100%-75%=25%
Hope this helps!
Answer:
the answer is 50 %
Step-by-step explanation:
C.P x (100+ (P/L) ) over 100 = S.P
C.P x 50 over 100 = 8500
C.P = 8500 x 100 over 50 = 17000 .Rs.
hope it helps make me the brainliest now !!!!!!!
Answer the following Question with Appropriate Explanation
Answer:
option is B)
Step-by-step explanation:
2x is a perfect square. but x is not a perfect square, this brings us to the conclusion tht prob x is 2.
2x = 4
hence correct option is B) 4x is a perfect square, as 4x4=16, which is a perfect square...
Word Problem (x and y intertcept)
A doll company can make a doll at a cost of P35 per doll. If the selling of the doll is x pesos and the number of dolls sold per month is 500 - x,
a. Express the monthly profit in pesos as a function of x.
b. If the selling price of the doll is P85, determine the monthly profit. Use the result in letter a.
Answer:
a. Monthly profit is
(x-35)(500-x)
b. given x = 85, the profit is 20,750 pesos
Step-by-step explanation:
a. The monthly profit is the selling price - cost price
The cost price for the number of dolls made will be ;
35(500-x)
The value of the amount we are selling all is;
x(500-x)
So the monthly profit would be;
x(500-x)-35(500-x)
= (x-35)(500-x)
b. Given the selling price we 85 , we want to calculate the monthly profit
From
what we have, x will be 85
Substituting in the equation we have for A above, we have that;
(85-35)(500-85)
= 50* 415 = 20,750 pesos
Subtract (−x − 2) − (4x + 3).
Answer:
-5x - 5
Step-by-step explanation:
1. Distributive Property
-x - 2 - 4x - 3
2. Combine like terms
-5x - 5
Hope this helped!
Laura walked 612 laps of a circular path in 2 hours. At that rate, how many laps of the path did she walk in one hour? PLz help
Answer:
The answer is 3 1/4
Step-by-step explanation:
I hope this helps! :)
Answer:
3 1/4
Step-by-step explanation:
✨LOTS OF POINTS✨
For each sequence write an explicit formula: 7. 1,5, 25, ... a_1:___ r/d:___ a_n:___
8. 29, 35, 41, ... a_1:___ r/d:___ a_n:___
For this sequence, write a recursive formula 9. 7,49,343, ... r/d:___ a_n:___
Answer:
Q7. a₁ = 1 , r = 5, aₙ = 5ⁿ⁻¹Q8. a₁ = 29, d = 6, aₙ = 6n + 23Q9. a₁ = 7, r = 7, aₙ = 7aₙ₋₁Step-by-step explanation:
Q7.
Given sequence
1, 5, 25, ...This is a GP with the first term of a₁ = 1 and common ratio r = 5
Explicit formula is:
aₙ = 1*5ⁿ⁻¹= 5ⁿ⁻¹Q8.
Given sequence
29, 35, 41, ...This is an AP with the first term of a₁ = 29 and common difference d = 6
Explicit formula:
aₙ = 29 + 6(n - 1) = 29 + 6n - 6 = 6n + 23Q9.
Given sequence
7, 49, 343, ...This is a GP with the first term a₁ = 7 and common ratio r = 7
Recursive formula is:
aₙ = aₙ₋₁*7 = 7aₙ₋₁