The length of a rectangle is 8 feet more than its width. the area of the rectangle is 97 ft.² determine the length and width of the rectangle
Answer:
L = [tex]\sqrt{113}[/tex] +4
W = [tex]\sqrt{113}[/tex] -4
or L = 14.63 ft, and W = 6.63 ft
Step-by-step explanation:
Let L be the length and W the width.
We are told that the "length of a rectangle is 8 feet more than its width:"
L = W+8
Area of the rectangle is given by L*W, and is 97 [tex]ft^{2}[/tex]
L*W = 97
Substituting L=W+8, we get:
(W+8)W=97 [tex]ft^{2}[/tex]
[tex]W^{2}[/tex] + 8W = 97
[tex]W^{2}[/tex] + 8W - 97 = 0
The roots to this equation are:
-4-[tex]\sqrt{113}[/tex], and[tex]\sqrt{113}[/tex] -4Only the second gives a positive value, so W = [tex]\sqrt{113}[/tex] -4
Since L=W+8, the length, L, is [tex]\sqrt{113}[/tex] -4 + 8 or [tex]\sqrt{113}[/tex] +4
In decimal:
L = 14.63 ft, and W = 6.63 ft
Find the LCM by first finding the prime factor.
Answer:
Step-by-step explanation:
3(x² - y²) = 3(x + y)(x -y)
x² - 2xy + y² = (x - y)²
LCM = 3(x + y)(x - y)²
Tell whether the relation is a function. Explain your reasoning
{(-1, 7), (9, 4), (3, -2), (5, 3), (9, 1)}
Answer:
no, since the numbers are mixed up both negative and positive
Answer:
relation is a function
Step-by-step explanation:
For the relation to be a function each value of x in the domain must map to exactly one unique value of y in the range.
This is the case here so the relation is a function
Mid School.
Why don't students want their name written up by their teacher, when they in trouble?
Answer:
Students will usually not want their name written because they believe it is humiliating.
HELP PLS HOW YOU GET ANSWER
Answer: d, the diameter, is about 36.92 units
Step-by-step explanation:
The c value is the circumference and we are being asked to solve for the diameter.
We can take the value they give for the circumference, plug it into the circumference formula, and solve for d. Please note that the diameter is two times the radius, or r, so at the end I will multiply r by two.
C = 2πr
(116) = 2πr
18.46 ≈ r
r ≈ 18.46
-
18.46 * 2 = 36.92
The missing measure is about 36.92 units.
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
See below ~
Step-by-step explanation:
Finding m∠HCG
HE is the diameter line [= 180°]∠ECF + ∠FCG + ∠HCG = 180°60° + 75° + ∠HCG = 180°∠HCG = 180° - 135°∠HCG = 45°Finding m∡DF
∠ECF + ∠DCE60° + 45°105°Answer:
m∠HCG = 45°
m∡DF = 105°
Step-by-step explanation:
m∠ECD + m∠ECF + m∠FCG
= 45° + 60° + 75°
= 180°
As angles on a straight line always sum to 180°, we can conclude that the line DG is a straight line and the diameter of the circle, and the Point C is the center of the circle.
Assuming that line EH is also a straight line, using the vertical angles are always congruent theorem, m∠ECD = m∠HCG.
Therefore, m∠HCG = 45°
We always measure arcs in a counterclockwise direction.
⇒ m∡DF = m∡DE + m∡EF
= 45° + 60°
= 105°
What is the answer of two times two (2x2=)
Answer:
=> 2 × 2 = 4
Step-by-step explanation:
two times two is four
Answer:
2x1=1
2x2=4
so the answer is 4
Step-by-step explanation:
What is the answer to the question 3m-8n/13
Answer:
the answer to the question is 3m8n = 13
solve for N.
8/10 = 4/N
Answer:
5
Step-by-step explanation:
Cross multiply
8n = 40
N = 5
Answer:
n= 5
Step-by-step explanation:
1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8/10-(4/n)=0
2. Simplify 4/n = after that the equation will be 8/10 - 4/n = 0
3. Simplify 4/5 = after that the equation will be 4/5 - 4/n = 0
GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
Answer:
18√6
Step-by-step explanation:
From Pythagoras theorem,
b^2 + p^2=h^2
or, 1^2 + p^2 = 5^2
or, p^2=25 - 1
or, p=√24
or, p=2√6 (√24 = √4*√6
= 2*√6
= 2√6)
Again,
we know,
Area of parallelogram (A) = bash*height
=9*2√6
=18√6
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
C. 5 1/2
Step-by-step explanation:
Hope this helps!
Have a blessed day!!
The trinomial x2 bx – c has factors of (x m)(x – n), where m, n, and b are positive. what is the relationship between the values of m and n? explain.
The relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.
What is trinomial?A trinomial is the type of algebraic expression in which there are three terms present and more than one variable are present.
The trinomial given in the problem is,
[tex]x^2 +bx - c[/tex]
This trinomial has factors of,
[tex](x +m)(x - n),[/tex]
Where m, n, and b are positive.
If this factors multiply by each other, we get,
[tex](x +m)(x - n)\\x^2+nx+mx+nm\\x^2+(n+m)x+nm[/tex]
Compare it with the trinomial, we get,
[tex]b=(m+n)[/tex]
Which is the sum of the terms,
[tex]c=nm[/tex]
Which is the product of the terms.
Hence, the relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.
Learn more about the trinomial here;
https://brainly.com/question/1538726
What is the value of x? (7+x)=(3x+1)3
Answer:
x = 1/2
Step-by-step explanation:
7 + x = 3*3x + 3*1
7 + x = 9x + 3
8x = 4
x = 1/2
the GCF factor the given expression: 21xy + 14y
7(3xy + 2y)
7y(3x + 2)
3(7xy + 14y)
7xy(3 +2)
NEXT
Answer:
7y
Step-by-step explanation:
GCF for 21xy+14y is: 7y
because GCF is greatest common factor. y is common for both units so take it out and greatest number that both numers can divide by is 7,
so 7y.
Check:
7y(3x+2)
7y*3x + 7y*2
21yx + 14y
true
Regression analysis is better than the high-low method of cost estimation because regression analysis: Multiple Choice Fits data into a mathematical equation. Takes less time. Is mathematical. Can provide greater precision and reliability. Is a statistical method.
Answer:
hola no sé qué decirte no se Inglés
Which functions have a vertex with a x-value of 0? select three options. f(x) = |x| f(x) = |x| 3 f(x) = |x 3| f(x) = |x| − 6 f(x) = |x 3| – 6
The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are functions have a vertex with a x-value of 0.
What is a function?A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.
The standard absolute value function is found as;
[tex]\rm f(x) = a|x - h| + k[/tex]
Where,
(h, k) denotes to the vertex
h is the vertex of the x-coordinate
k is the y-coordinate of the vertex
By comparing the standard equation with the given equation in the options we will get the functions to have a vertex with an x-value of 0;
[tex]\rm f(x) = |x| \\\\ \rm f(x) = |x| + 3 \\\\ f(x) = |x| - 6[/tex]
The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are functions have a vertex with a x-value of 0.
Hence options 1,2 and 4 are functions that have a vertex with an x-value of 0.
To learn more about the function refer to the link;
https://brainly.com/question/12431044
Answer:
A, B, D
Step-by-step explanation:
Faith wants to add a 20% tip to a $56 restaurant bill. How much will Faith pay including the tip?
Answer:
67.20$
Step-by-step explanation:
multiply 56 by 1.2
Answer:
$67.2
Step-by-step explanation:
Given:
Price = $56Tip = 20%∴ Equation: Price + Tip = Total
⇒ 56 + (20/100 × 56) = TotalSimplify the equation to obtain the total:
⇒ 56 + (20/100 × 56) = Total⇒ 56 + (20/50 × 28) = Total⇒ 56 + (20/25 × 14) = Total⇒ 56 + (4/5 × 14) = Total⇒ 56 + (56/5) = TotalConvert the expression in the parenthesis into decimals:
⇒ 56 + (56/5) = Total⇒ 56 + (11.20) = TotalOpen the parenthesis and simplify:
⇒ 56 + 11.20 = Total⇒ $67.2 = TotalFaith will pay (including the tip) $67.2.
look at the question!!
Answer:
The right answer is G. 9
Step-by-step explanation:
(11y-36)° = 63°
11y = 63 + 36
y = 99 ÷ 11 = 9
y = 9
Gagu is paid £1200 per month.
He is going to get a 4% increase in the amount of money he is paid.
Work out how much Gagu will be paid per month after the increase.
gagu kaba de charot labyu..
ito formula pala makuha interest,
You can calculate simple interest in a savings account by multiplying the account balance by the interest rate by the time period the money is in the account. Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance).
An equation that is true for all values of the variables in its domain is _____.
a property
a function
an identity
a formula
An equation that is true for all values of the variables in its domain is an identity
Hope that helps!
Find an expression for the area of each shade region,write your answer in standard form
Answer:
8x+24
Step-by-step explanation:
(x+5)²-(x+1)²
x²+10x+25-(x²+2x+1)
x²+10x+25-x²-2x-1
8x+24
Hence the required equation is 8x+24 or 8(x+3)
8.6.PS-8
Find the area of this circle. Use
3.14 for n.
3 ft
.
The area of the circle is about ft2.
(Round to the nearest hundredth as needed.)
What is the value of this expression when
d= 47 and f = 3?
6 (d - f) +f
Answer:
267
Step-by-step explanation:
We are given the expression: 6 (d - f) +f
The value of the expression when d= 47 and f = 3 is :
6 (47 - 3) +3 = 6×(44) + 3 = 264 + 3 = 267
=267
Find the area of the figure.
Step-by-step explanation:
such problems are always the combination of areas of simple figures.
in our case here the simplest way seems to me to calculate the area of the whole 15×15 square (the side lengths are 15 and 9+6 = 15) and then subtract the small 6×6 square (top left), the small 6×3 triangle (bottom right) and the larger 6×9 triangle (top right).
we know that the left side of the main square is 9+6 = 15.
we know that the missing side piece (top right) is also 6 (like its left side). and the right side piece is 15-6-6 = 3.
that is how we know the side lengths of the missing pieces.
so,
15×15 = 225 cm²
the small square is
6×6 = 36 cm²
the large triangle is
6×9/2 = 3×9 = 27 cm²
the small triangle is
6×3/2 = 3×3 = 9 cm²
so, the total area of the figure is
225 - 36 - 27 - 9 = 153 cm²
A park recorded 3.5x10^4 visitors in 1936 and 2.2x10^5 visitors in 1986. How many more people visited the park in 1986 than in 1936
Find the area of the circle with circumference 2(pi)r cm
Answer:
area should be (pi)r^2
What’s The Answer Of This? PLEASE HELP
Answer: 68 degrees
Step-by-step explanation:
It's trig...First person gets branliest
Answer:
~29.99
Step-by-step explanation:
5x-3y=-2, -x+2y=-8
Solve by elimination method
ASAP as well I’m sorry ……..