Answers
Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio, 2 + 1 = 3 parts , thus
81 cm² ÷ 3 = 27 cm² ← value of 1 part of the ratio
2 parts = 2 × 27 = 54 cm²
Area of A = 54 cm² and area of B = 27 cm²
The side of the original square = [tex]\sqrt{81}[/tex] = 9 cm
The width of both rectangles is 9 cm ( width remains unchanged after cut )
Thus
Rectangle A
9 × length = 54 ( divide both sides by 9 )
length = 6 cm
Rectangle B
9 × length = 27 ( divide both sides by 9 )
length = 3 cm
Rectangle A → length = 6 cm, width = 9 cm
Rectangle B → length = 3 cm , width = 9 cm
Answer:
Rectangle A Rectangle B
length = 9 cm length = 9 cm
width = 6 cm width = 3 cm
Step-by-step explanation:
Area of square At = 81 cm²
Square is cut into two pieces = A + B
The ration of area A to B = 2:1
Find
Rect A Rect B
length length
width width
---------------------------------
first, get the side of the square = A = s²
81 = s²,
s = √81
s = 9 cm
since the ratio is 2:1, therefore the side can be divided into 3
9 ÷ 3 = 3 cm ----- take note of this to get the Width
Rectangle A
L = 9 cm (which is the s = 9 cm)
W = 3 cm (2 ratio) = 6 cm
Rectangle B
L = 9 cm (which is the s = 9 cm)
W = 3 cm (1 ratio) = 3 cm
Proof:
At = A + B
81 = (9x6) + (9x3)
81 = 54 + 27
81 = 81 ----- OK
Related Questions
Find the value of x if 2x-1÷3 is greater than 1-3x÷4 by 1
Answers
[tex]\\ \sf\longmapsto \dfrac{2x-1}{3}-\dfrac{1-3x}{4}=1[/tex]
[tex]\\ \sf\longmapsto \dfrac{4(2x-1)-3(1-3x)}{12}=1[/tex]
[tex]\\ \sf\longmapsto 8x-4-3+9x=12(1)[/tex]
[tex]\\ \sf\longmapsto 17x-7=12[/tex]
[tex]\\ \sf\longmapsto 17x=12+7[/tex]
[tex]\\ \sf\longmapsto 17x=19[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{19}{17}[/tex]
5x-1/3=4
5x-1=12
5x=13
X=2.6
if one square yard of carpet costs $15.40, how much will 45.5 square yards cost? ( value only, no commas, dollar signs, symbols, or units)
Answers
Work Shown:
1 square yard = 15.40 dollars
45.5*1 square yard = 45.5*15.40 dollars
45.5 square yards = 700.70 dollars
In the second step, I multiplied both sides by 45.5 to turn the "1 square yard" into "45.5" square yards.
congruent complements theorem
Answers
Answer:
Congruent Complements Theorem If 2 angles are complementary to the same angle, then they are congruent to each other.
HOPE THIS HELPS
MARK IT BRAINLIEST!!!!
if n(p(a)) = 256. find n(a)
Answers
n(p(a)) = 256
256 = 2^8
n(a) = 8
Must click thanks and mark brainliest
Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
Of(x) = -51% + 87 - 1
O f(x) = -3.2? + 4.1 - 1
Of(t) = -202 + 5x - 1
Of(1) = -3.1? + 10.1 - 1
Answers
Answer:
The correct option is;
f(x) = -2·x² + 5·x - 1
Step-by-step explanation:
Given the points
(-1, -8), (0, -1), (1, 2), we have;
The general quadratic function;
f(x) = a·x² + b·x + c
From the given points, when x = -1, y = -8, which gives
-8 = a·(-1)² + b·(-1) + c = a - b + c
-8 = a - b + c.....................................(1)
When x = 0, y = -1, which gives;
-1 = a·0² + b·0 + c = c
c = -1.....................................................(2)
When x = 1, y = 2, which gives;
2 = a·1² + b·1 + c = a + b + c...............(3)
Adding equation (1) to (3), gives;
-8 + 2 = a - b + c + a + b + c
-6 = 2·a + 2·c
From equation (2), c = -1, therefore;
-6 = 2·a + 2×(-1)
-2·a = 2×(-1)+6 = -2 + 6 = 4
-2·a = 4
a = 4/-2 = -2
a = -2
From equation (1), we have;
-8 = a - b + c = -2 - b - 1 = -3 - b
-8 + 3 = -b
-5 = -b
b = 5
The equation is therefore;
f(x) = -2·x² + 5·x - 1
The correct option is f(x) = -2·x² + 5·x - 1.
can someone explain this please?
Answers
Answer:
3 + 2y = 2 + 4y
Step-by-step explanation:
1. Create the equation
3 + 2y = 2 + 4y
There are 3 "1" blocks and 2 "y" blocks on the left. There are 2 "1" blocks and 4 "y" blocks on the right. The scale shows both are equal.
Answer:
3 + 2y = 2 + 4y
Step-by-step explanation:
To create an equation from this model, we look at both sides of the scale. The left has three 1 units and two y units, and there are two 1 units and four y units on the right side. Since the scale shows that both sides are equal in weight, we know that our equation would have an equal sign to show they are equal.
Left: Three 1 units can be written as 3 and two y units could be written as 2y.
Right: Two 1 units can be written as 2 and four y units could be written as 4y.
Now, we put these values together (with an equal sign) to get:
3 + 2y = 2 + 4y.
Hope this helps!
the set is points indicated by 12.is the ___ of the angle
Answers
Answer:
Vertex
Step-by-step explanation:
The vertex is the point were two rays meet to form an angle.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Use linear regression to predict the length of a 40-month-old animal. The ages and lengths of several animals of the same species are recorded in the following table: (2 points)
Answers
Answer:
Aw what animal
Step-by-step explanation:
Srry I need pointse
Tori and Gavin were trying to solve the equation: (x+1)^2-3=13(x+1) 2 −3=13left parenthesis, x, plus, 1, right parenthesis, squared, minus, 3, equals, 13 Tori said, "I'll add 333 to both sides of the equation and solve using square roots." Gavin said, "I'll multiply (x+1)^2(x+1) 2 left parenthesis, x, plus, 1, right parenthesis, squared and rewrite the equation as x^2+2x+1-3=13x 2 +2x+1−3=13x, squared, plus, 2, x, plus, 1, minus, 3, equals, 13. Then I'll subtract 131313 from both sides, combine like terms, and solve using the quadratic formula with a=1a=1a, equals, 1, b=2b=2b, equals, 2, and c=-15c=−15c, equals, minus, 15."
Answers
The other answer is correct, its both !<3
Answer:
Both
Step-by-step explanation:
Both Tori and Gavin are correct, the two methods work. Completed this in Khan Academy, it's correct.
Using the right triangle below, find the tangent of angle B.
시
A
600
0
3-13
300
B
Answers
Answer:1&3
Step-by-step explanation:
Multiply negative 1 over 3 multiplied by 1 over 4. Which of the following is correct? negative 1 over 3 negative 1 over 4 negative 1 over 7 negative 1 over 12
Answers
Answer:
-1/12
Step-by-step explanation:
-1/3 * 1/4
Multiply the numerators
-1 *1 = -1
Multiply the denominators
3 *4 =12
numerator over denominator
-1/12
Answer:
the answer is [tex]\frac{-1}{12} \\[/tex]
Step-by-step explanation:
[tex]\frac{1}{3} x \frac{1}{4}[/tex]
3x4= 12 is now the denominator
and
the numerator stays the same because -1x1=-1
so there for the answer is [tex]\frac{-1}{12}[/tex]
hope this helped you ^.^ happy holiday
Is the given equation a quadratic equation? Explain. x(x−6)=−5
The equation is not a quadratic equation because there is no x2-term.
The equation is a quadratic equation because there is an x2-term.
The equation is not a quadratic equation because the expression is not equal to zero.
The equation is not a quadratic equation because there is a term with degree higher than 2.
I think the answer is A but im not sure.
Answers
Answer:
The equation is a quadratic equation because there is an x2-term.
Step-by-step explanation:
x(x−6)=−5
Distribute
x^2 -6x = -5
The equation is a quadratic equation because there is an x^2-term.
Answer:
Your required answer is option A.
Step-by-step explanation:
Here,
The given equation is;
x(x-6)=-5
now,
while finding x.
either or,
x=-5 (x-6)=-5
x= 1 (shifting-6 in next side)
now, the value of x is -5,1.
so, it's a quadratic equation.
( in quadratic equation the variable always has two values after solution)
Hope it helps..
1. Look at the numbers listed below. Which numbers are rational? Select all that apply.
9.1874639...
424, 489
121
5/3
Answers
“The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers”
in angle PQR, angleQ=70 angle R=45 then angleP=.....
Answers
Answer:
65
Step-by-step explanation:
Because its a triangle,
P + Q + R = 180
So,
P + 70 + 45 = 180
P + 115 = 180
Subtract 115 on both sides
P = 65
plz help me f(x) = 2x – 2 , find f(– 1)
Answers
Answer:
-4
Step-by-step explanation:
f(-1) = 2(-1) - 2 = -4
if your ans is correct i will choose you as a brainlist when the number of student of a school was increased by 30% it became 455. Find the previous number student.
Answers
Step-by-step explanation:
find 30% of 455
which is = 136.5
then subtract 136.5 from the original number(455)
455 - 136.5
=318.5 student
[tex]-6\left(1-m\right)=9-2m[/tex]
Answers
Answer:
[tex]m=\frac{15}{8}[/tex]
Step-by-step explanation:
[tex]-6\left(1-m\right)=9-2m[/tex]
[tex]-6(1-m)=-6+6m[/tex]
[tex]-6+6m=9-2m[/tex]
Add 6 to both sides:-
[tex]-6+6m+6=9-2m+6[/tex]
[tex]6m=-2m+15[/tex]
Now, add 2m to both sides:-
[tex]6m+2m=-2m+15+2m[/tex]
Divide both sides by 8:-
[tex]\frac{8m}{8}=\frac{15}{8}[/tex]
[tex]m=\frac{15}{8}[/tex]
-----------------------
OAmalOHopeO
-----------------------
Answer:
your answer is m=15/8
Simplify 18 - 2[x + (x - 5)].
A) 13 - x
B) 13 - 4x
C) 8 - 4x
D) 28 - 4x
Answers
Answer:
Well the correct answer is −4x+28... But I don't
see that as one of your options. :/
Simplify:
18−2(x+x−5)
Distribute:
=18+(−2)(x)+(−2)(x)+(−2)(−5)
=18+−2x+−2x+10
Combine Like Terms:
=18+−2x+−2x+10
=(−2x+−2x)+(18+10)
=−4x+28
Answer:
−4x+28
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28 - 4x}}}}}[/tex]Option D is the correct option.
Step-by-step explanation:
18 - 2 [ x + ( x - 5 ) ]
Remove the unnecessary Parentheses
⇒18 - 2 [ x + x - 5 ]
Collect like terms
⇒18 - 2 [ 2x - 5 ]
Distribute 2 through the parentheses
⇒18 - 4x + 10
Add the numbers
⇒28 - 4x
Hope I helped!
Best regards!!
You pack sandwiches for a hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich.
How many slices of bread are used for n hikers?
Answers
Given that:-
→ 1 sandwich = 2 slices of bread.
→ 1 hiker = 1 sandwich.
→ Then we have to find number of bread slices for n hikers .
→ Number of bread slices for 1 hiker = 2
→ Number of bread slices for 2 hikers = 2 × 2
→ For 3 hikers = 3 × 2
So in similar way
→ Number of bread slices for n hikers = 2×n → 2n
So 2n is the answer.
PLZ Help! I'm crying over this....
Answers
Answer:
D
Step-by-step explanation:
The correct option is the Car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.
From the graph we can tell that the distance of the car is a function and it's a line
Answered by G a u t h m a t h
What is the domain of the relation (8, -2), (4,-2), (3, 2), (-5, -3)?
A. {8,4,3, -5}
B. {-8, -4, 3, 5)
C. 2-5, -3, 4, 8}
D. 2-3, -2, 2}
Answers
Answer:
A. {8, 4, 3, -5}
Step-by-step explanation:
The domain is the list of x values in a given function. Therefore, the domain is {8, 4, 3, -5}.
I need help It’s honors 7 math pls help
Answers
Answer:
411,600.000× 10^3 OR 4.11600000×10^8
Step-by-step explanation:
The expontent seems to be 3 so you move the decimal point over <this way 3
if it is 8 you move it over this way < 8
Answer:
411,600.000× 10^3 OR 4.11600000×10^8
Step-by-step explanation:
The expontent seems to be 3 so you move the decimal point over <this way 3
if it is 8 you move it over this way < 8
What is the solution to the equation below? (round your answer two decimal places)
e^x=7.1
Answers
Answer:
Step-by-step explanation:
In order to undo that e, you need to take the natural log of both sides:
[tex]ln(e^x)=ln(7.1)[/tex] the ln and the e cancel each other out, leaving us with
x = ln(7.1) so
x = 1.96
Please help solve this. 10points worth it
Answers
Answer:
The function is a growth function so I guess A, B and D
suggest a growth curve
Step-by-step explanation:
Briefly explain how you would graph an equation such as y=7x-2
Answers
Answer:
put a mark at negative 2 on the graph then you would go up seven rigght one until you cant then you would go back to -2 and go down seven left one until you cant
Step-by-step explanation:
The function f(x)=x^2 + ax + b has a minimum at (3,9) what are the values of a and b
Answers
Answer:
Step-by-step explanation:
The function is f(x)=x^2 + ax + b
Derivate the function:
● f'(x)= 2x + a
Solve the equation f'(x)=0 to find a
The minimum is at (3,9)
Replace x with 9
● 0 = 2×3 + a
● 0 = 6 + a
● a = -6
So the value of a is -6
Hence the equation is x^2 -6x+b
We have a khown point at (3,9)
● 9 = 3^2 -6×3 +b
● 9 = 9 -18 + b
● 9 = -9 +b
● b = 18
So the equation is x^2-6x+18
Verify by graphing the function.
The vetex is (3,9) and it is a minimum so the equation is right
which value of -7(x2-6)+2y when x=2 and y=6
Answers
Answer:
Solution
= -7 (x2 -6) +2y
= -7 ( 2*2 - 6 ) + 2 * 6
= -7 ( 4 - 6) + 12
= -7 - 2 + 12
= - 9 + 12
= 3
I hope this help u :)
Solve for y
4x + 7y +5
Answers
4x = 7y + 5 (Given)
4x - 5 = 7y + 5 - 5
4x - 5 = 7y + 0
4x - 5 = 7y
7y = 4x - 5 since equality is symmetric, i.e., if a = b, then b = a.
(7y)/7 = (4x - 5)/7
(7/7)y = (4x)/7 - 5/7
(1)y = (4/7)x- 5/7
y = (4/7)x - 5/7
From the last step above, the given equation is now in the slope-intercept form of the equation of a straight line: y = mx + b, i.e., y = (4/7)x - 5/7; therefore, we can now see by observation, that the slope of the line is m = 4/7 which means that the line has a positive slope, i.e., it's > 0, which means that if the line were to be constructed on a Cartesian coordinate system, it would slope upward from left to right and would intersect the y-axis at the point (0, -5/7).
5000 x 10 x 10 x 50
Answers
Answer:
5000 x 10 x 10 x 50 = 25000000
Step-by-step explanation:
you can just use a calculator....
Answer:
25000000
Step-by-step explanation:
The perimeter of a triangle is 24 cm.If it’s area is 24cm2 and it’s one of the three sides is 10 cm,find the sides of remaining
Answers
Answer:
The other sides are 6cm and 8cm
Step-by-step explanation:
Let the other 2 sides be x and y.
Using herons formula, we have an equation
24=sqrt(12*2*(12-x)*(12-y))
Since the perimeter is given, we have x+y=24-10=14. Solving it we have x=6,8 and y=8,6.