A rectangular playground has dimensions and area as shown below.
Complete the work to find the dimensions of the rectangle.
x(4x + 5) = 450
4x2 + 5x = 450
4x2 + 5x – 450 = 0
(4x + 45)(x – 10) = 0
The rectangle has a width, x, of
, and a length of
.
Answers
9514 1404 393
Answer:
x = 10width = 10length = 45Step-by-step explanation:
The remaining work is to identify the values of x that make the factors zero:
4x +45 = 0
x = -45/4 . . . . negative dimensions are not useful
x -10 = 0
x = 10
The width is x, so the width is 10.
The length is 4x+5, so the length is 4·10+5 = 45.
The rectangle has a width, x, of 10 and a length of 45.
Related Questions
A 26-foot long ladder is leaning against a building
at a 60° angle with the ground.
Which of the following equations can you use to
find the height of the building, h?
Answers
Answer:
13
Step-by-step explanation:
cos(60) =building height / 26
A recipe calls for 2 3/4 cups of flour to make 24 muffins. Barry has 8 1/4 cups of flour. How many muffins can he make?
Answers
Answer:
72 muffins
Step-by-step explanation:
8 1/4 divided by 2 3/4
33/4 x 4/11
3 x 24 = 72
Answer:
72 muffins so 3 batches
Step-by-step explanation:
i just counted the 1/4 cups is the amount that was needed for 1 batch (which btw is 11)
and barry had (8times4 1/4cups) 33
so 3 batches tomes 24 muffins is 72 muffins in total
hope this helped ❤
Help i need the answer now please!
Answers
Answer:
no
Step-by-step explanation:
The distance from the origin to the point (−15,20) is
Answers
Answer:
25
Step-by-step explanation:
distance between two points is
d=√((x2-x1)^2+(y2-y1)^2)
in this case x2=-15 ,x1=0,y2=20,y1=0
so
d=√((-15-0)^2+(20-0)^2)
d=√(15^2+20^2)
d=√(225+400)
d=√625
d=25
Explanation:
Can Someone Help. ?
Answers
Answer:
6
Step-by-step explanation:
I think its 6 times greater because the length was tripled and the width was doubled thus : 3 * 2 = 6
HOPE THIS HELPED
What is the run of a 50% slope with a rise of 50 feet?
A. 100 feet
B. 55 feet
C. 25 feet
D. 2500 feet
E. 50 feet
Answers
Rise of the line with 50% slope and 50 feet rise = 100 feet
Option (A) will be the answer.
Slope of a line: Slope of a line is given by the expression,
Slope = [tex]\frac{\text{Rise}}{\text{Rus}}[/tex]
Given in the question,
Slope of the line = 50%
= [tex]\frac{50}{100}[/tex]
= 0.5
Rise has been given as 50 feet.
Substitute the values in the expression for the slope,
[tex]0.5=\frac{50}{\text{Run}}[/tex]
Run = [tex]\frac{50}{0.5}[/tex]
= 100 feet
Therefore, run for the given line will be 100 feet.
Option A will be the answer.
Learn more about the slope of a line here,
https://brainly.com/question/2514839?referrer=searchResults
Anyone????
I need help
Answers
Answer:
Step-by-step explanation:
(a). 2t² - 9t + 28 = 46 ⇔ 2t² - 9t - 18 = 0
(b). (2t + 3)(t - 6) = 0
(c). t = 6
(d). 1990 + 6 = 1996
Will GIVE BRAINLIEST ITS NOT TOO HARD JUST IN A RUSH thanks
Answers
Steps:
word ratio:
miles miles
——— = ———
hours hours
substitute in numbers:
120mi 200 mi
——— = ———
3 hrs x hrs
cross multiply:
120x = (200)(3)
simplify:
120x = 600
divide by 120:
x = 5 hours
Answer:
3.3 bared hours
Step-by-step explanation:
Delivery truck drove an average of 42 mph it took two hours and 15 minutes to travel between both of the towns what is the distance between the two towns
Answers
Answer:
99.5
Step-by-step explanation:
42*2=84
42*1/4=15.5
15.5+84=99.5
Answer: the answer is 94.5
Step-by-step explanation:
What is the answer for number 2
Answers
Answer:
Your answer would be x = 63
Step-by-step explanation:
What I would do first is to isolate the -1/9x, which means I would subtract 17 on each side, giving me -1/9x = -7
Next I would multiply -9 (which is the inverse of -1/9) on both sides, negating the negative sign and making 63 positive, and thus isolating x as well.
please help, Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept
Answers
Answer:
15) slope=-4 y-intercept is 3 equation is y=-4x+3
16) slope=0 y-intercept is -4 equation is y=0x-4
17) slope=2 y-intercept is 4 equation is y=2x+4
18) slope=1 y-intercept is 4 equation is y=1x+4
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
What is the volume for 14 8 10 10 10 8?
Answers
Answer:
I believe volume is three dimensions. And thus three terms, so I don't believe you have the right setup. Or you need to clarify something somewhere.
Step-by-step explanation:
Mr. Abdullah’s new car can travel 420 miles on a 12-gallon tank of gas. Determine how many miles he can travel on 8 gallons
Answers
Answer:
280
Step-by-step explanation:
4) Use the difference of two squares method to evaluate 120squared - 119 squared
Answers
Answer:
239
Step-by-step explanation:
[tex]120^2-119^2\\=(120+119)(120-119)\ [a^2-b^2=(a+b)(a-b)]\\=239[/tex]
Please help it’s due
Answers
Answer:
i dnt know
Step-by-step explanation:
Answer:
m<1 = 75
m<2 = 55
m<3 = 55
Step-by-step explanation:
Well <1 + 50° is vertical to 125 so do this
<1 + 50 = 125 (subtract 50 on both sides)
<1 = 75
Now <1 + <2 + 50° = 180
We know what <1 is so..
75 + <2 + 50 = 180 (collect like terms)
125 + <2 = 180 (subtract 125 on both sides)
<2 = 55
Since <2 and <3 are vertical that means they equal the same so
<3 = 55
Hope this helps ya! Keep smiling!
Can someone salve this pleaseeeeeeeee
Answers
Answer:
x=3/2
Step-by-step explanation:
2(1/49)^x-2=14
The answer is 3/2
Answer:
x=3/2
Step-by-step explanation:
Need help with this.
Answers
Answer:
yes to 5, and no to -7 (only because we are dealing with real positive numbers, not imaginary numbers). the domain is all real numbers greater than or equal to 2
Step-by-step explanation:
Is the percentage illumination of the moon's surface a linear function of the day
Answers
Answer:
No (The linear model did a very bad job of approximating the data.)
I am so sorry if this in incorrect.
The percentage illumination of the moon's surface is not a linear function of day
How to determine the true statement?From the complete question, the dataset can be represented using the following table:
Days Percentage Illumination
1 2%
2 6%
3 50%
4 100%
Notice that as the number of days increase by 1, the percentage illumination of the moon increase at different intervals
This means that the percentage illumination is not a linear function of day
Read more about linear functions at:
https://brainly.com/question/14323743
#SPJ2
absolute value of -6 3/5
Answers
Answer:
6 3/5
Step-by-step explanation:
Because absoulte value takes out the minus sign!
Answer:
The absolute value of -6 3/5 is 6 3/5
Step-by-step explanation:
Because when you put a number in absolute value it ALWAYS MAKES IT A POSITIVE NUMBER!!
Which of the following statements must be true about the diagram? Check all that apply. Thank you!
Answers
Answer:
A D E i think sry if wrong but im pretty sure
Step-by-step explanation:
PLEASE HELPP I WILL GIVE 25 POINTS, BRAINLIEST TO THE BEST ANSWER, THANKS AND MORE.
How do you think philosophy and math are used to study our universe?
Answers
Answer:
It's used to gain a better understanding of how we humans work and how we could work in the future.
For the function y = 7 − 3x, what is the ordered pair for x = 5?
Answers
9514 1404 393
Answer:
(x, y) = (5, -8)
Step-by-step explanation:
The value of y is found by evaluating the equation for x=5.
y = 7 -3(5) = 7 -15 = -8
For x = 5, y = -8. As an ordered pair, this is (x, y) = (5, -8).
i will give the BRAINIEST
given g (x)= f (x)+k. Identify a value of k that transforms f into g. Round your answer to the nearest integer.
Answers
K= 5
Step-by-step explanation:
You must count the distance between so if you look at where it lines up perfect -3,0 up to 2 the distance is 5
Answer:
k = - 5Step-by-step explanation:
The slopes are same and y-intercepts are:
2 for f and -3 for gSince we have:
g(x) = f(x) + kWe can find the value of k:
-3 = 2 + kk = -3 - 2k = -5Answer is k = - 5
In what year did WW1 begin
Answers
Answer:
28 July 1914 – 11 November 1918
please mark me brilliant
Answer:
It started on: July 28, 1914
Step-by-step explanation:
It ended on – November 11, 1918
F. ALGEBRA Find x.
a. 25.6
b. 22.5
c. 38
d. 40
Answers
Answer:
B. 22.5
Step-by-step explanation:
HELPPPPPP !!! I seriously don't know what to write.
Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor. Also include ways in which the business might operate differently with those tools than without them.
Answers
Answer:
This question was previously answered on Brainly...
Be sure to put this into your own words.
Answer: check explanation for the solution
Step-by-step explanation:
A business that offers services to people by providing many amusement and fun with gate fees
The algebraic equations to be used is the general linear equation
Y = MX + C
Where
Y = total income or money realised
M = rate or price rate
X = number of goods or services
C = flat rate or gate fees
The business can also operate differently by using exponential equation
A = P(1 + R%)^t
Where
A = profit
P = capital
R = rate
t = time
There are 24 female performers in a dance recital. The ratio of men to women is 7:8. How many men are in the dance recital?
Answers
what is the constant rate of change Y= 4 + 3x what is the y- intercept
Answers
-7*3^0.25x=-10 what is the solution of the equation
Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 1.08547955
Pierre is using centimeter cubes to build a model. He makes a rectangular prism and that is 20 cubes long 8 cubes tall and 12 cubes wide. What is the volume of pierre's model?
Answers
Answer:
1920 cm^3
Step-by-step explanation:
The formula for volume is length x width x height. The length is 20 cubes, the width is 12 cubes, and the height is 8 cubes. You would multiply 20 x 12 x 8 to get 1920.
The cm^3 is important as well as it indicates a volume. Each cube is 1 centimeter and you're multiplying 3 centimeter values (20,12, and 8) by each other so the final answer would be 1920 cm^3.
