or, l + b = 22
or, b = 22 - l ...(i)
We know, area of a rectangle = lbTherefore,lb = 72Putting (i) in b, we getl(22 - l) = 72or, 22l - l^2 -72 = 0
or, l^2 - 22l + 72 = 0
or, l^2 - 4l - 18l + 72 = 0
or, l(l - 4) - 18(l - 4) = 0
or, (l - 4)(l - 18) = 0
or, l = 4 or l = 18
Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.Answer:
B) 4 inches and 18 inches.
Hope you could get an idea from here.
Doubt clarification - use comment section.
please help me asap..!
ty :)
Answer:
y-inctercept=4, x-intecept=7
Step-by-step explanation:
I did it with the standard to slope again!
[tex]7y=28-4x[/tex]
[tex]y=4-\frac{4}{7}x[/tex]
Now don't get confused here, 4 is the y incetecept, not -4.
When y=0, x=7
UPDATE:
To determine x and y intercept using graph, see where the line intersects at the x or y axis.
-16+5w=-1
solve for w
Answer:
w=3
Step-by-step explanation:
-16+5w=-1 . add 16 to both sides
5w=15 . divide both sides by 5
w=3
A _______ is a variable, an integer or a product of variables and
integers.
can someone help me with this
[tex](3)\\\\17^{\tfrac 43} = \left(17^{\tfrac13\right)^4 = \left(\sqrt[3]{17}\right)^4 =\left(\sqrt[3]{17}\right)^3 \left(\sqrt[3]{17}\right) = 17\sqrt[3]{17}[/tex]
[tex](4)\\\\\text{First term, a= 4,}\\\\\text{Common difference,}~ d =13-4 = 9\\\\\text{nth term} = a+(n-1)d = 4 +(n-1)9 = 4+9n-9 = 9n-5\\\\\text{ 5000th term} = 9(5000) -5 =44995[/tex]
A computer and printer cost a total of $930 . The cost of the computer is two times the cost of the printer. Find the cost of each item.
Answer:
Computer: $620
Printer: $310
Step-by-step explanation:
c + p = 930
c = 2p
c = cost of the computer
p = cost of the printer
replacing the second eq. in the first eq.
2p + p = 930
3p = 930
p = 930/3
p = 310
from the second eq.
c = 2p
c = 2*310
c = 620
Check
from the first eq.
620 + 310 = 930
what is the slope of the line ?
Answer:
6
Step-by-step explanation:
because I guess it is six line's and that it will definitely be worth it to try it
WILL MARK BRAINLIST PLS ANSWER ITS VERY IMPORTANT
Answer:
Step-by-step explanation:
a) 4th
b) 300
c) 2nd and 5th
What is the length of the unknown side of the right triangle? (1 point)
A right triangle with hypotenuse x and legs 21 and 20
A)21
B)29
C)400
D)441
Answer:
B)29
Step-by-step explanation:
[tex] {x}^{2} = {21}^{2} + {20}^{2} [/tex]
[tex] {x}^{2} = 441 + 400[/tex]
[tex] {x}^{2} = 841[/tex]
[tex]x = \sqrt{841} [/tex]
[tex]x = 29[/tex]
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the two legs, that is
x² = 21² + 20 ² = 441 + 400 = 841 ( take square root of both sides )
x = [tex]\sqrt{841}[/tex] = 29 → B
what is the slope of the line?
Answer:
5/3
Step-by-step explanation:
Use rise over run
it goes up five and goes right three.
If it were to go to the left it would be negative
Same rules apply if it were to go down it would be negative
Find the inverse function.
f(x) = -3x +1/2
f-1(x) =
Answer:
f^-1(x)= -x/3 +1/6
Step-by-step explanation:
So its negative x over 3, plus, 1 over 6
What is the degree of polynomial?
With example!
Answer:
[tex]\boxed{\mathfrak{Question ~}}[/tex]
What is the degree of polynomial?
[tex]\large\boxed{\mathfrak{Answer}}[/tex]
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.
Example:
[tex] {6x}^{4} + {2x}^{3} + 3[/tex]
4x The Degree is 1 (a variable without an
exponent actually has an exponent of 1)
More Examples:
4x^ − x + 3 The Degree is 3 (largest exponent of x)
x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)
z^2 − z + 3 The Degree is 2 (largest exponent of z)
A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.
3 is a polynomial of degree 0.
Answer:
The degree of a monomial is the sum of the exponents of all its variables.
Example 1:
The degree of the monomial [tex]7y {}^{3} {z}^{2} [/tex] is 5(=3+2)5(=3+2) .
Example 2:
The degree of the monomial 7x is 11 (since the power of x is 11 ).
Example 3:
The degree of the monomial 66 is 0 (constants have degree 0 ).
The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)
I’m very smart. My hair is dark. I love to eat honey, insects, and bark.
I don't understand the question your asking
Find the difference.
17 minus 2 and one-third equals what number?
A. 15 and one-third
B. 15 and two-thirds
C. 14 and two-thirds
D. 14 and one-third
Answer:
C. 14 and 2/3
Answer:
C
Step-by-step explanation:
17 - 2 1/3
17 -2 -1/3
15 -1/3
14 2/3
Solve for x using common denominators. 3 over the quantity 5 times the binomial x minus 4 equals x over the quantity x minus 4 −5 over 3 5 over 3 −3 over 5 3 over 5
Answer:
(d) 3/5
Step-by-step explanation:
The equation ...
[tex]\dfrac{3}{5(x-4)} =\dfrac{x}{x-4}[/tex]
can be rewritten so that each side has the same denominator. Then the solution can be found by equating the numerators.
[tex]\dfrac{3/5}{x-4} =\dfrac{x}{x-4}\\\\\boxed{\dfrac{3}{5} =x}[/tex]
_____
Additional comment
"Equating the numerators" is equivalent to multiplying both sides by the common denominator. Of course, any value of the variable that makes the denominator zero is excluded from the solution set.
If you were to pour marbles into a cup of water, you would make a __________.
A. heterogeneous
B. homogeneous
Answer:
heterogeneous is the answer
Convert -439° to radians
Answer:
-439° × π / 180°
= -2.4388888889π rad
= -7.6619954163 rad
Step-by-step explanation:
π rad = 180°
What is the value of this expression? 4/15+3/5−2/3 Quick
Answer:
I think that would be 1/5
Explanation:
Hope this helps!
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!
my Christmas present to you
Answer:
TY
Step-by-step explanation:
What is the range of this graph?
The range is the y value of where the dots are located.
Answer: (3,4,5,6)
3 pairs of $23.67 gloves. what is the unit price?
Answer:
7.89 dollars
Step-by-step explanation:
The unit price would be the price of one pair of gloves.
So divide the total cost by the number of pairs bought.
23.67/3= 7.89
Calculate the measure of angle ADB if angle ACB is 50 degrees.
Answer:
ADB=50°
Step-by-step explanation:
Angles subtended by the same segment are equal
Therefore,the angle ∠[tex]ADB=40[/tex] degree.
What are the angles?
An angle is a form of geometrical shape, that is constructed by joining two rays to each other at their end-points.
Here given that ∠[tex]ACB=50[/tex] degree and we know alternates angles are equal so ∠[tex]CAD=50[/tex] degree.
And [tex]AD[/tex] is parallel to [tex]BC[/tex].
Therefore, the diagonals of a rhombus are at right angled.
So, ∠[tex]AOD=90[/tex] degree
Now, In Δ[tex]AOD[/tex],
∠[tex]ADO+[/tex]∠[tex]DAO+[/tex]∠[tex]AOD=180[/tex] degree
∠[tex]ADO+50+90=180[/tex]
∠[tex]ADO=+140=180[/tex]
∠[tex]ADO=180-140[/tex]
∠[tex]ADO=40[/tex] degree
or
∠[tex]ADB=40[/tex] degree.
Hence, the angle ∠[tex]ADB=40[/tex] degree.
To know more about the angles
https://brainly.com/question/15277238
#SPJ2
Karen can type 40 words in 8 minutes. what is her rate in words per minute?
Answer:
5 words per minute
Step-by-step explanation:
To find her rate in words per minute simply divide the number of words she can type in 8 minutes (40) by 8.
40 / 8 = 5
Her rate is 5 words per minute
the late fee for library books is $2.00 plus 15 cents each day for a book that is late. If Maria's fee for a late book was $3.20,write and solve a linear equation to find many days late the is
Answer:
Maria's book was 8 days late
Step-by-step explanation:
According to the information given, you can write an equation that states that 15¢ multiply for the number of days that the book was late plus $2 is equal to $3.20:
0.15x+2= 3.20
x= number of days that the book was late
Now, you have to solve for x:
0.15x= 3.20-2
0.15x= 1.20
x= 1.20/0.15
x= 8
The book was 8 days late.
please help only answer if you're sure it's right will mark brianliest if it's correct
Answer:
I feel like all of them are wrong, but C. is the one that's closes to being right.
Step-by-step explanation:
As you see, C is the closest to the answer.
x=1 y=2 z=3
So...
1+2=3
2-3=1
^
Is that right?
No, but that one is the only error, the other equations also have errors.
So if there's a button that says none of the above, pick that.
Hope this helped! :)
PLEASE HELP I BEG IMMA FAILLLLLLLLL
An isosceles triangle has two sides that measure 5.6 in. and a side that measures 4.2 in. If the triangle is enlarged such that the two sides measure 20 in, what is the length of the third side?
Answer:
15
Step-by-step explanation:
If the bigger triangle has the two congruent sides measuring 20, then the ratio of the bigger to the smaller is 20/5.6 This means that the ratio between the third side of the bigger to the third side of the smaller is 20/5.6
Setting a ratio:
20/5.6=x/4.2
Cross multiplying: 84=5.6x
x = 84/5.6 -->12/0.8 --> 15
x = 15
Given the scatter plot below, write the equation for the line of best
fit in slope-intercept form.
Answer:
y = 5x + 6
Step-by-step explanation:
lmk if you want an explanation
The high temperature is 15.7°F one day. That night, the temperature falls to −18.4°F. What is the change in temperature for the day?
Answer:
34.1°f
Step-by-step explanation:
just add 18.4 degrees and then that will get you to 0 and add 15.7 which will get you to the temperature in the day
a rectangular patio has an area of 198.4 square meters the width of the patio is 16 meters what is the length
Step-by-step explanation:
the answer thats it 12,4
Answer:
12.4 meters
Step-by-step explanation:
The area is the product of length and width. Fill in the given information in the formula and solve for length.
A = LW
198.4 = L×16
198.4/16 = L = 12.4
The length of the patio is 12.4 meters.
6) A geologist collects rocks. He has three types, sedimentary, metamorphic and
igneous. The ratio of sedimentary rocks to metamorphic rocks is 2:3.
The ratio of metamorphic to igneous is 9:10.
What is the ratio of sedimentary to igneous?
Answer:
3:5
Step-by-step explanation:
s:m = 2:3
m:i = 9:10
convert m to same number so they are comparable
s:m = 6:9 (multiple so the ratio is still the same as 2:3)
m:i = 9:10 (the same thing as before)
s:i = 6:10
s:i = 3:5 (simplify)
