Answer:
a) a +b= 13, ab= 40
b) length= 8m, width= 5m
Step-by-step explanation:
Perimeter of rectangle= 2(length +width)
Area of rectangle= length ×width
a) Perimeter= 26m
2(a +b)= 26
Divide both sides by 2:
a +b= 26 ÷2
a +b= 13 ----- (1)
Area= 40m²
ab= 40 ----- (2)
b) From (1): a= 13 -b ----- (3)
Substitute (3) into (2):
(13 -b)(b)= 40
Expand:
13b -b²= 40
b² -13b +40= 0
Factorise:
(b -5)(b -8)= 0
b -5= 0 or b -8= 0
b= 5 or b= 8
Substitute into (3):
a= 13 -5 or a= 13 -8
a= 8 or a= 5
Since the length is usually the longer side of the rectangle, the length and the width of the rectangular garden is 8m and 5m respectively.
Answer:
Step-by-step explanation:
Perimeter = 2length + 2 width
2a + 2b = 26 m
Divide the equation by 2
[tex]\dfrac{2a}{2}+\dfrac{2b}{2}=\dfrac{26}{2}\\\\[/tex]
a + b = 13 --------------(I)
a = 13 -b
Area = length *width
a*b = 40 sq.m
ab = 40 ----------------(II)
Plugin a = 13 -b in the equation (II)
(13 - b)*b = 40
13*b - b*b = 40
13b - b² = 40
0 = 40 + b² - 13b
b² - 13b + 40 = 0
Sum = - 13
Product = 40
Factors = (-8) , (-5) {-8 + (-5) = -13 & (-5)*(-8) = 40}
b² - 8b - 5b + (-8)*(-5) = 40
b(b - 8) - 5(b - 8)= 0
( b - 8) (b - 5) = 0
b - 8 =0 ; b -5 =0
b= 8 ; b = 5
Length = 8 cm
Width = 5cm
Find the H.C.F and L.C.M of 65 and 105
Answer:
HCF of 105 and 65 is 5.
LCM of 65 and 105 is 1365.
Answer:
H.C.F = 5
L.C.M = 1365
please give me a brainliest answer
ASAP
Diego deposits $4200 into a savings account that pays 5% simple interest. He decides not to touch the money until it doubles. How many years will Diego have to keep the money in the account?
Answer:
It would take 20 years for it to double
Step-by-step explanation:
5% of 4200 is 210 so then divide 4200 by 210 to find the number of years it will take for it to double and you get 20
what is the property of -49 + 49 = 0
Sorry I don't know the answer...
0,1,3,14,28,45 điền số tiếp theo
Answer: [tex]67[/tex]
Step-by-step explanation:
[tex]0+1+3=4, \\\\ 4+10=141+3+4=8 \\8+20=283+4+8=15 \\\\ 15+30=454+8+15=27 \\\\ 27+ 40=67[/tex]
The area of a rectangle is 33 m”, and the length of the rectangle is 5 m less than double the width. Find the dimensions of the
• rectangle
Answer:
Width: 5:5
Length: 6
Area: (6) (5.5 = 33m^2
Step-by-step explanation:
Width: x
Length: 2x - 5
(2x-5)(x) = 33
2x^2 - 5x - 33 = 0
(2x - 11) (x + 3) = 0
2x - 11 = 0
x = 11/2 = 5.5
x + 3 = 0
x = -3
[(2*5.5)-5](5.5) = 33
If these springs aren’t under the rocking chair and there’s none will you end up falling out of the rock chair when your sitting on it?
Answer ASAP
How do I graph y=2 on a graph
Answer:
you put a line on the y axis at y 2 going side to side
Step-by-step explanation:
Answer:
put a horizontal line across y=2 and thats it
Step-by-step explanation:
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
85 points -
Answer:
y ≥ -1/2x + 2y > 2x - 3Step-by-step explanation:
Find equations of each line using two points on each and then determine the inequalities.
Line 1Points
(0, 2) and (2, 1)The slope is:
m = (1 - 2)/2 = -1/2The y -intercept is 2.
The line is:
y = -1/2x + 2The shaded region is to the right and the line is solid, so the inequality is:
y ≥ -1/2x + 2Line 2Points:
(0, -3) and (2, 1)The slope is:
m = (1 - (-3))/2 = 2The y- intercept is -3The line is:
y = 2x - 3The shaded region is to the left and the line is not solid, so the inequality is:
y > 2x - 3fx) varies directly with x and f(x) = 50 when x = -10, then what is f(x) when x = 15?
Answer:
f(x)=-75
Step-by-step explanation:
since f(x) varies directly with x
it implies that f(x)=Kx
k=f(x)/x
when f(x)=50 and x=-10
k=50/-10
k=-5
but when x=15, f(x)=-5×15
f(x)=-75
If m < C is greater than m < E, then Line segment A B is ________ Line segment D F.
congruent to
longer than
shorter than
the same length as
Answer:
longer than
Step-by-step explanation:
Answer:
longer than
Step-by-step explanation:
branlest po
Help me pls 20 POINTS
Answer:
bottom =80m^2
Side =50m^2
triangle = 3 ×8 ×5
Solve 7,124 Divided by 26 =_______ using standard algorithm
Answer:
7,124 divided by 26= 185,224
Step-by-step explanation:
A soap manufacturer advertises that it has increased the size of their bottle of
dishwashing soap to 18,4 ounces, which is 5% more than the original size,
What is the original size of the bottle?
Round your answer to the nearest tenth
The original size of the bottle is 17.5 ounces.
The soap manufacturer has increased the size of his bottles. This means that 18.4 ounce bottle is bigger than the original size of the bottle. The bottle was increased by 5%, this means that the new bottle is 105% (100% + 5%) bigger than the initial size of the bottle.
To determine the original size of the bottle, this formula would be used:
New bottle size / total percentage increase in the bottle = initial size of the bottle
18.4 / 1.05 = 17.5 ounces
A similar question was answered here: https://brainly.com/question/24666000?referrer=searchResults
The original size of the bottle is 17.5 ounces.The soap manufacturer has increased the size of his bottles. This means that 18.4 ounce bottle is bigger than the original size of the bottle. The bottlewas increased by 5%, this means that the new bottle is 105% (100% + 5%) bigger than the initial size of the bottle. To determine the original size of the bottle, this formula would be used: New bottle size / total percentage increase in the bottle = initial size of the bottle 18.4 / 1.05 = 17.5 ounces.
Need help with questions
2. and 3.
9514 1404 393
Answer:
2) x = 7
3) x = 5
Step-by-step explanation:
When a transversal crosses parallel lines, all of the acute angles are congruent, and all of the obtuse angles are congruent. When it crosses at right angle, all of the angles are right angles.
2) All of the angles are right angles.
11x +13 = 90
11x = 77 . . . . . . subtract 13
x = 7 . . . . . . . divide by 11
__
3) The two marked angles are acute.
16x = 80 . . . . the acute angles are congruent
x = 5 . . . . . . divide by 16
Which of the following functions represent exponential decay? f(x)=3(1.7)^x-2
f(x)=3(1.7)^-2x
F(x)=3^5(1/4)^x
F(x)=3^5(2)^-x
Answer:
F(x)=3^5(1/4)^x
Step-by-step explanation:
By the exponential decay definition: y = ab×
b determines the rate at which the graph grows: if b > 1, the function will increase. if 0 < b < 1, the function will decrease.
There is only (1/4)ˣ : where 0<1/4<1 fit the definition, so F(x)=3^5(1/4)^x is the choice
----------------------------------------------------------------------------------------------------------
But.. look at the table attached, the f(x)=3(1.7)^-2x and F(x)=3^5(2)^-x also showed pattern of decay. It can verified from their graphs. (Try plot it with your calculator)
Answer:
B, C, D
Step-by-step explanation:
Read the story. Barry is on the school tennis team. At practice yesterday, he did 3 forehand strokes for every 2 backhand strokes. Pick the diagram that models the ratio in the story. Barry did 50 strokes when he practiced yesterday, and all were either forehand or backhand. How many backhand strokes did he do?
Sigma notation of 8+4+2+1+1/2+…
Answer:
-1 have a great day ahead
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
-1 -9
0 -1
1 7
g(x) = 3x-2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Please hurry as I only have a few hours left too turn in :) Thank you.
Answer:
Use 2 points from he table to find the slope of f(x):
(0, -1) and (1, 7)The slope is:
m = (7 - (-1))/1 = 8The y - intercept is b = -1 according to point (0, -1).
Part AThe lines are:
f(x) = 8x - 1g(x) = 3x - 2The f(x) has greater slope since 8 > 3 and greater y-intercept since -1 > - 2.
Part BSee above
Question In The Screenshot
If m of 8 = 23 degrees, find each measure. Give your reasoning. (Just need the rest of the answers.)
If the rectangle below is enlarged by a scale factor of 1.5, what will be the area of the new rectangle?
Highest common factors of 42,72,and 56
Answer: 8
Step-by-step explanation:
please give me a brainliest answer
i don't know how to do math lol
Answer:
6.5 I'm not sure
Step-by-step explanation:
Can somone llsss hell plssss
Answer:
D
Step-by-step explanation:
a hearty breakfast cause it sound more better
4 x 3 + 4 x 2 + 13 x + 6 4x 3 +4x 2 +13x+6 is divided by 2 x + 1 2x+1.
Answer:
If you are trying to simplify this then the answers 304 + 13x
Step-by-step explanation:
Help I’ll mark you brainlist
Answer:
it says you did it already
Step-by-step explanation:
insta dfl.jacob messeage for help
Please help! I must match the numbers on the left with all appropriate number sets on the right . A number on the left may match with more than one number set on the right. I been stuck on this forever
Answer:
[tex]\sqrt{5}[/tex] = Irrational
6 = Natural, Whole, Integer, Rational
[tex]\frac{1}{2}[/tex] = Rational
-2 = Integers, Rational
Explanation:
See attached photo! (it is hard to explain in words haha)
Side note: All natural numbers are rational numbers, but not all rational numbers are natural numbers (this applies differently to all sections, like all integers are whole, but not all whole are integers, etc)
Side note #2: Whole numbers are just natural numbers AND zero
Hope this is correct (or at least helps), have a nice day! :D
Answer:
see picture below,they’re different numbers but the rules still apply fractions are the same as decimals and obviously negatives match up w negatives so on so forth
Step-by-step explanation:
Please help me out, im struggling with this one
Answer:A
Step-by-step explanation:
Which of the following rules describes the function graphed below
Answer:
Output = (0.5)(Input) + 1.5
Step-by-step explanation:
input = 1 , output = (0.5)(1) + 1.5 = 2
input = 3 , output = (0.5)(3) + 1.5 = 3
input = 5 , output = (0.5)(5) + 1.5 = 4
input = -1 , output = (0.5)(-1) + 1.5 = 1
hope it helps mark as brainliest pls
Need help on this, what is the correct name for this number?
Answer:
I believe its the third one