Answer:
length = 11 yard
width = 5 yard
Step-by-step explanation:
Area of a rectangle = L W
where A = 55 yard
L = 3W - 4
find: Length
width
solution:
A = L W
55 = (3W - 4) W
55 = 3W² - 4W
3W² - 4W - 55 = 0
use quadratic equation to solve for W:
W = - (-4) ± √(-4)² - 4(3)-55
2(3)
W = 5, W = -11/3
substitute W=5 to equation L = 3W - 4 to solve for L
L = 3W - 4
L = 3(5) - 4
L = 15 - 4
L = 11
therefore, the dimensions of a rectangle:
length = 11 yard
width = 5 yard
Solve 6x+3y=−1 for y
The sets X and Y exists collectively referred to as the function's domain and codomain, respectively.
If the function be 6x + 3y = −1 then the value of y = (−1 - 6x) / 3.
What is meant by function?A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y exists collectively referred to as the function's domain and codomain, respectively.
The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.
A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable).
Let the given function be 6x + 3y = −1.
⇒ 3y = −1 - 6x
simplifying the above equation, we get
⇒ y = (−1 - 6x) / 3
Therefore, the value of y = (−1 - 6x) / 3.
To learn more about function refer to:
https://brainly.com/question/11624077
#SPJ2
Four less than 5 times a number is the same as 26 more than twice the number .
Four less than 5 times a number is the same as 26 more than twice the number.Find the number?
Answer:-Let the number =x
Four less than 5 times of the number means the polynomial is (5x-4)26 more than twice the number means the polynomial is (2x+26)Now according to question Both are equalATQ,
[tex]\sf (5x-4)=(2x+26)[/tex]
Open the brackets[tex]{:}\longrightarrow[/tex][tex]\sf 5x-4=2x+26 [/tex]
Now take unknown polynomials to one side and numbers to other side[tex]{:}\longrightarrow[/tex][tex]\sf 5x-2x=26+4 [/tex]
Now simplify[tex]{:}\longrightarrow[/tex][tex]\sf 3x=30 [/tex]
Now interchange sides and get x[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {30}{3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf{x=10}}}}[/tex]
[tex]\therefore[/tex][tex]\sf The\:number\:is\: 10.[/tex]
how come nothing feels real anymore? i've searched and i can't find why. all of my feelings and surroundings seem fake. i've felt like this for over a week straight so far, and this feeling has happened before but it's only lasted like a day or less. i can't get rid of the feeling, and i just wanna escape it. i feel like i'm not in "my" body. like my hands aren't my own, and i dont have complete control over them. when i look in the mirror, it's like it's not actually me looking back. no matter how many people are around me, it feels like they're all fake and aren't actually there. like this isn't the world i'm actually in. it's driving me insane and i just have the constant feeling that i want to cry and escape this. i can't tell my parents this, because they'll just say i'm being dramatic or just don't want to do my work or something like that. just please help me understand what's going on, or if there's anything i need to do. please. (i put this up for 50 points)
Answer:
I also have felt like this recently. Try talking to someone about it. :)
What is the 9th term in the geometric sequence described by this explicit
formula?
an=-6.(2)(n-1)
O A. -3072
B. 3072
C. -1536
D. 1536
Answer:
C
Step-by-step explanation:
The explicit formula is aₙ = -6 · 2⁽ⁿ⁻¹⁾, and we want to find the 9th term in the sequence. To find it, we can simply substitute n = 9 into the explicit formula, which gives us:
a₉ = -6 · 2⁽⁹⁻¹⁾
= -6 · 2⁸
= -6 · 256
= -1536
Hope this helps!
complete these. Show your thinki
b.
3.25 ft =
in
HELPPPP
Answer:
35 inches
Step-by-step explanation:
multiply length value by 12
The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number? x2 + 1 = 420 x2 + 2 = 420 x2 + x = 420 x2 + 2x = 420
Answer:Answer:
The answer is x^2 + x =420
Step-by-step explanation:
It is given that
The product of two consecutive integers is 420
Le x be the first number, then
second number is the next consecutive number of x which is (x +1)
The product of these numbers can be written as
x (x + 1) which is equal to 420
x (x + 1) = 420
x^2 + x = 420
So the quadratic equation is
x^2 + x = 420
Step-by-step explanation:
Answer:
Step-by-step explanation:
Its CCCCCCCCCCCCCCC
17. The current low temperature in uxbridge is 18 degrees Fahrenheit. Over the next two days the low temperature will decrease 12 degrees and increase 7 degrees. Express the temperature changes in a numerical expression and say what the temperature will be after three days.
Numerical expression:
Answer:
Answer:
Expression: 18 - 12 + 7. In 3 days, the temperature will be 13 degrees.
Step-by-step explanation:
The temperature is 18 degrees.
It will decrease 12 degrees after one day. So, it is 18 - 12.
Then it will increase by 7 degrees after another day. So, it is 18 - 12 + 7.
18 - 12 = 6. 6 + 7 = 13.
So, the expression is 18 - 12 + 7 and the answer is 13 degrees (i think)
Which measure is cloest to the length of a side of a square that has an area of 221 square feet? 11.0 ft 14.69 ft 16.4 ft 55.2 ft
Answer:
14.69 ft.
Step-by-step explanation:
Area of a square:
A= [tex]a^2[/tex]
Given:
A=221 [tex]ft^{2}[/tex]
Solve:
221= [tex]a^2[/tex]
[tex]\sqrt{221}[/tex]=[tex]\sqrt{a}^2[/tex]
a is approx. equal to 14.87 ft.
which is 14.69 ft.
Solve the equation.
3+ 4.5(2d – 3) = 7.5
Answer:
d=2
Step-by-step explanation:
3) Solve the equation. Show steps. -406 = c + 430
Answer:
- 836
Step-by-step explanation:
Check out the attachment below:
The distance covered by the fastest high-speed train in Japan traveling at maximum speed is represented on the graph. The fastest high-speed train in the United States traveling at maximum speed covers 600 kilometers in 1/2 hours. Which train has a greater maximum speed? Explain.
Answer:
it would run up almost 360 kph
Step-by-step explanation:
i look it up
Imani spent $19 on a magazine and five
candy bars. If the magazine cost $4, then
how much was each candy bar?
Help please
You bought a magazine for $3and some candy bars for $2 each. You spent a total of $19.How many candy bars did you buy?
Answer:
8
Step-by-step explanation:
19 - 3 = 16
16÷2 = 8
You bought 8 candy bars
Answer:
8
Step-by-step explanation:
You First have spent 3$ on a magazine then $2 for each candy bar in total u had 19$ spent so first u mulitply 8x2 which 16 now 16 + 3=19
Help plss ASAP plsss
Answer:
15/16
Step-by-step explanation:
got it right
If you get 2 imaginary answers when using the quadratic formula, how does this relate to how many times (0, 1 or 2) a quadratic graph touches/crosses the x-axis?
Answer:Roots of a number indicates value where function will be zero. If an equation let's say
y = f(x) = x^2 -3x + 2 has two roots x = 1 and x =2 . Now if you will draw the graph, line will cross x-axis at 1 and 2 indicating y will become zero at 1 and 2. But if any equation has imaginary roots implies y will be never be zero for any real value of x and as we do not show imaginary number on a Cartesian plane we cannot make y =0 hence graph will never touch x-axis.
Step-by-step explanation:
Find x. My teacher gave me what x equals but I don’t know the step-by-step explanations. x=6
Step-by-step explanation:
The triangle is isosceles, so the base angles are the same.
All three angles add up to 180°.
(6x + 4) + (6x + 4) + (18x − 8) = 180
30x = 180
x = 6
Answer:x=6
Step-by-step explanation:since those two sides shown are the same length, the missing angle is also 6x+4. the angles on a triangle always will equal 180. so you set the problem up as 6x+4+6x+4+18x-8=180. when you combine like terms it is then 30x=180. x=6
Parallel lines have so much in common, It’s a shame they’ll never meet.
Answer:
This is actually very true
Step-by-step explanation:
lol
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
In this triangle, the product of sin B and tan C is
, and the product of sin C and tan B is
.
The product of sin B and tan C is c/a
The product of sin C and tan B is b/a
Further explanationWe can use
SOH stands for Sine = Opposite ÷ Hypotenuse.
CAH stands for Cosine = Adjacent ÷ Hypotenuse.
TOA stands for Tangent = Opposite ÷ Adjacent.
There is a picture attached
[tex]\tt sin~B=\dfrac{b}{a}\\\\Tan~C=\dfrac{c}{b}\\\\sin~B\times Tan~C=\dfrac{b}{a}\times \dfrac{c}{b}=\dfrac{c}{a}[/tex]
[tex]\tt sin~C=\dfrac{c}{a}\\\\Tan~B=\dfrac{b}{c}\\\\sin~C\times tan~B=\dfrac{c}{a}\times \dfrac{b}{c}=\dfrac{b}{a}[/tex]
Answer:
The product of sin B and tan C is (c/a)
The product of sin C and tan B is (b/a)
PLATO
find the value of 8^1/3
Answer:
[tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
Find 1/3 of 8: [tex]\frac{1}{3}[/tex] × [tex]\frac{8}{1} = 2\frac{2}{3}[/tex]I hope this helps!
The answer is [tex]\frac{8}{3}[/tex] or [tex]2\frac{2}{3}[/tex]
How do I graph f(x) = -x^2 +2x -4
There are 600 performers in a dance recital. The ratio of men to women is 4:6. How many men performers were in the dance recital
Answer: 240 men
Step-by-step explanation:
From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.
Fraction of men at the recital = 4/10
Fraction of women at the recital = 6/10
The number of men performers that were in the dance recital will be:
= 4/10 × 600
= 240 men
There were 240 men at the recital.
A helicopter is hovering 100 meters above the ocean. Directly below it, a submarine is at a depth of 200 meters.
The altimeter on the helicopter reads
meters, which means it is 100 meters
sea level. The altimeter on the submarine reads
meters, which means it is 200 meters
sea level.
Answer:
100
2. Above,
3. -200−200 ,
4. Below
Please help!!!!! ASAP!!!! If I get it right I get outta here!!
Just word problems, THANK YOU!!!!!!!!
Answer:
First one is 120 leaves The Second one is $3.5 Last one is $136
I don't know the 3rd one
Step-by-step explanation:
12) If tan A=5/12 . find the value of (sin A + COS A) sec A.
Answer:
(sin(A) + cos(A)).sec(A) = 17/12
Step-by-step explanation:
tan(A) = 5/12
sin(A) = 5/13
cos(A) = 12/13
sec(A) = 1/(cos(A)) = 13/12
(sin(A) + cos(A)).sec(A) = (5/13 + 12/13).13/12
= 17/13.13/12
= 17/12
can someone pls help?
==================================================
Explanation:
Use the remote interior angle theorem. This says a pair of interior angles always add to the measure of the exterior angle that is not adjacent to any of the interior angles, so basically what your diagram is showing.
(interior angle C) + (interior angle D) = exterior angle
(46) + (-1+8x) = 18x+5
8x+45 = 18x+5
8x-18x = 5-45
-10x = -40
x = -40/(-10)
x = 4
Mariah is making goody bags for a party. She has 24 bottles of nail polish and 48 tatoos. What is the greatest number of goody bags she can make so that each bag has an equal amount of each item with nothing left over?
Answer:
36
Step-by-step explanation:
24 div 2, 12.
48 div 2, 24.
24+12,36
Jolie earned \$205$205dollar sign, 205 for babysitting in one month. She spent ddd dollars going to a water park with some friends. After going to the water park, Jolie had \$160$160dollar sign, 160 remaining. Write an equation to describe this situation. How many dollars did Jolie spend at the water park?
Answer:
jolie spent 45 buckaroonies on the waterpark.
and the equation is
205 - d = 160
Step-by-step explanation:
i just got it right on kahn academy
Figure 1
Figure 2
Figure 3
Your answer
Answer:
I believe you forgot a picture.
PLEASE HELP- GRAPH THE INVERSE OF THE FUNCTION SHOWN BELOW.
Answer:
-1.0
Step-by-step explanation:
dont no the explanation
A real estate agent received 5.7% commission for a house that sold for $250,000. How much was the agent's commission?
Answer:
$14,250
Step-by-step explanation:
250,000 * .057 = 14,250