It is a graph of a function
PROBLEM
9a
The breadth of a rectangle is 4 units less than its length. If the perimeter of the rectangle is
20 units, write a pair of linear equations to model the above situation, assuming the length to be l units
and the breadth to be b units.
Equation 1 :
Equation 2 :
Here, we are to find the length and the , breadth of the rectangle
The length of the rectangle = 7 units and Breadth of the rectangle = 3 units
Let
length = l units
Breadth = b units
Perimeter of the rectangle = 20 units
length is the distance measured along the longest dimension of an object
width is the wideness of an object
perimeter refers to the total measurements of an objects
The breadth of a rectangle is 4 units less than its length
If,
Length = l
Then,
b = l - 4
Perimeter of a rectangle = 2(length + breadth)
20 = 2{l + (l - 4)
20 = 2(l + l - 4)
20 = 2(2l - 4)
20 = 4l - 8
20 + 8 = 4l
28 = 4l
l = 28/4
l = 7
b = l - 4
b = 7 - 4
b = 3 units
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2.
Consider the sequence {1,22,43,64,85,…}. Find n if an = 2332. Show all steps including the formulas used to calculate your answer.
Answer:
n = 112
Step-by-step explanation:
an = a1 + (n - 1)*d
d = 43 - 22 = 21 Try another one to confirm
d = 85 - 64 = 21
d = 21 So we have an arithmetic sequence.
a1 = 1
an = 2332
2332 = 1 + (n - 1)*21 Subtract 1 from both sides
2332 - 1 = (n - 1)*21
2331 = (n - 1)*21 Divide by 21
2331/21 = n - 1
111 = n - 1 Add 1 to both sides
112 = n
56 is less than the square of 10
Please help explanation if possible
Answer:
y = 1/7x + 0
Step-by-step explanation:
3x + 21y = 21
21y = -3x + 21
y = -3/21x
y = 1/7x
Geometry, please answer question ASAP
Answer:
a)24
Step-by-step explanation:
since NM is a radius it comes in contact with the tangent at an angle 90
MLN is a triangle meaning sum of angles =180°
90+24+x=180
156+x=180
x=24°
8/3=12/n solve for n
Answer:
[tex]n=\frac{9}{2}[/tex]
Step-by-step explanation:
[tex]\frac{8}{3} =\frac{12}{n}[/tex]
Cross multiply.
8n=12(3)
8n=36
[tex]n=\frac{9}{2}[/tex]
I hope this helps!
pls ❤ and give brainliest pls
Answer: n = 9/2
Step-by-step explanation:
8/3 = 12/n
Now doing cross multiplication
8/3 = 12/n
8(n) = 12(3)
8n = 36
n = 36/8
n = 9/2
Therefore value of n is 9/2
Must click thanks and mark brainliest
the best way to learn math formulas
Writing down the formulas on charts and pasting it in your room,by seeing this daily it helps to memorize the formulas.
Saying the formulas louder also helps to memorize the formula.
Watching videos related to maths formulas and equations helps to remember the formulas easier.
Doing many problems regularly will helps you to remember the formulas.
lastly study to Understand The Formula not to memorize
(x+3)*(x+4)*(x+5)*(x+6)+1
Please help me solve this quickly! Will give brainliest!
Answer:
y = 5[tex]\sqrt{6}[/tex]
Step-by-step explanation:
JLT forms the special 90-60-30 right triangle and the side length for the given measure follows as 2a-a[tex]\sqrt{3}[/tex]-a
since the side length that sees 90 degrees is 10 then x = 5
according to Euclidian theorem :
y^2 = LK*KI (LK = 15 -x, KI = 15)
y^2 = 10*15
y^2 = 150 find the root for both sides
y = 5[tex]\sqrt{6}[/tex]
l=3cm, w=1cm, h=3cm what is the surface area of the rectangular prism
Answer: 30 cm2
Step-by-step explanation:
branliest please
Answer:
30 cm^2
Step-by-step explanation:
The surface area of a rectangular prism is given by the formula:
2 (lw + hw + hl)
Substitute the fomrula with the given dimensions:
2 ([3 x 1] + [3 x 1] + [3 x 3])
= 2 (3 + 3 + 9)
= 2 (15)
= 30
Hope this helps!
2^12÷2^(k/2 )= 32 find k
Answer:
k = 14
Step-by-step explanation:
Prime factorize 32
32 = 2 * 2 * 2 * 2 * 2 = 2⁵
[tex]\frac{2^{12}}{2^{\frac{k}{2}}}= 32\\\\\frac{2^{12}}{2^{\frac{k}{2}}}=2^{5}\\\\2^{12-\frac{k}{2}}=2^{5}[/tex]
Both sides base are same.So, compare exponents
[tex]12-\frac{k}{2}=5\\[/tex]
Subtract 12 from both side
[tex]-\frac{k}{2}=5-12\\\\-\frac{k}{2}=-7\\[/tex]
Multiply both sides by (-2),
[tex](-2)*(-\frac{k}{2})=-7*(-2)\\\\k = 14[/tex]
20
19) Mindy and Cindy bought 64 grapes.
Cindy ate 3/8 of the grapes and Mindy ate
the rest. How many grapes did Mindy eat?
Answer:
40 grapesEasy explanation:
64 ÷ 8= 8• 1/8 of 64 grapes is 8.8 × 3= 24• 3/8 of 64 grapes is 24. Now we know that Cindy ate 24 grapes. With that, we can solve how many grapes Mindy ate. By subtracting 24 from 64.64 - 24= 40• Mindy ate 40 grapes.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
divide the numbers 1 to 8 by 9. observe the decimal and discuss your observation of non terminating recurring decimal
Answer:
When dividing the numbers 1-8 by 9, we get whatever number was divided as a decimal in repeating form. For example, 2/9 = 0.22222...
Brainliest, please! I'm almost an Ace!
Step-by-step explanation:
1/9 = 0.11111...
2/9 = 0.22222...
3/9 = 0.33333...
4/9 = 0.44444...
5/9 = 0.55555...
6/9 = 0.66666...
7/9 = 0.77777...
8/9 = 0.88888...
Si confused as to how to solve this
Answer:
x^2, 10-x , 1.5x -5
Step-by-step explanation:
3v+1=22
----------------
Answer:
Solution given:
3v+1=22
subtracting both side by 1
3v+1-1=22-1
3v=21
divide both side by 3
3v/3=21/3
v=7
Answer:
[tex]v=7[/tex]
Step-by-step explanation:
[tex]3v+1=22[/tex]
Subtract 1 from both sides:-
[tex]3v+1-1=22-1[/tex]
[tex]3v=21[/tex]
Divide both sides by 3:-
[tex]\frac{3v}{3}=\frac{21}{3}[/tex]
[tex]v=7[/tex]
OAmalOHopeO
29. SCUBA DIVING The sign shows the equipment rented or sold by a scuba
diving store.
a. Write two expressions to represent the total sales to rent 2 wet suits,
3 air tanks, 2 dive flags, and selling 5 underwater cameras.
b. What are the total sales?
The total sales to rent the diving items are :
2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
The total sales to rent the diving items is : $185.95
Given the following rental cost:
Underwater Camera = $18.99
Air tank = $15.50
Wet Suit = $17.25
Dive Flag = $5.00
Expressions to represent the cost of :
2 wet suits, 3 air tanks, 2 dive flags and 5 underwater cameras
Price = price per item × quantity purchased
Expression 1 :
2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)
Similarly, we could group items with the same quantity together :
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
Using either of the two expressions above, the total sales can be calculated thus :
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
2(22.25) + 3(15.50) + 5(18.99)
44.50 + 46.50 + 94.95
= $185.95
The expressions for the total sales to rent the diving items are given above with a total sales value of $185.95
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David is the caption of the school soccer team. Last year, the team won four more games than it lost. If the team won 46 games, how many games did it lose?
Answer:
C
Step-by-step explanation:
Games lost=Games won - 4
Games lost=46-4=42
What is the value of x in the equation -2 =5x + 3
Step-by-step explanation:
hope it helps you and please mark it brainliest answer
Tgese 3 please answers …..
Answer:
22) ax=(3/2)*t
23) x+2y=(7/3)*z
24) 2x+10=4b
SOMEBODY HELP ME ASAP!!!!I NEED HELP PLEASE EXPLAIN THE ANSWER
Answer:
Below!
Step-by-step explanation:
First you can find the area of the triangular shape using A = bh /2
A = (12)(5.8) / 2
= 34.8 km^2
Now you can just multiply this area by the length of the prism
V = Area x height
= (34.8)(10)
= 348 km^3
Hope this helps! Best of luck <3
What is the volume of this figure?
Answer:
44
Step-by-step explanation:
Answer:
4 x 4 x 4 =64
4 x 4 x 8 =128
4 x 4 x 12 =192
64+128+192=384³
hope it'll be helping
Simplify to create an equivalent expression.
8 – 4(-x + 5)
Choose 1 answer:
4.2 - 12
B
-4X – 12
С
4x + 13
D
4.2 + 5
Answer:
8 - 4 (-x + 5)
= 8 + 4x - 20
= -(20 - 8)
= -12
= -12 + 4x
?
One of the legs of a right triangle measures 11 cm and its hypotenuse measures 13 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
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Answer:
17.02939
Step-by-step explanation:
help please!! i need to find the value of x
Answer:
The measure of angle JKM is:
JKL - MKL = JKM
⇒80°-25°=55°
so measure of angle JKM is 55°
Step-by-step explanation:
619
X
X=
degrees.
jskdjdjdjd
Answer:
151
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
x = 61+90
x = 151
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
[tex]\large\bf{{\green{ \longrightarrow \:\large\rm \: x \: = \: 61\degree \: + \: 90 \degree }}} [/tex]
[tex]\large\bf{{\green{ \longrightarrow \:\large\rm \: x \: = \: 151 \degree }}} [/tex]
Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)?
Answer:
(1c times 9/5) +32
That is the way to figure out °1c as 33.8°
Hope it helped
Two terms of a geometric sequence are given. Find the first five terms. Please help asap
Answer:
4, 8, 16, 32, 64
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
Given
a₇ = 256 and a₁₀ = 2048 , then
a₁ [tex]r^{6}[/tex] = 256 → (1)
a₁ [tex]r^{9}[/tex] = 2048 → (2)
Divide (2) by (1)
[tex]\frac{a_{1}r^{9} }{a_{1}r^{6} }[/tex] = [tex]\frac{2048}{256}[/tex]
r³ = 8 ( take the cube root of both sides )
r = [tex]\sqrt[3]{8}[/tex] = 2
Substitute r = 2 into (1)
a₁ × [tex]2^{6}[/tex] = 256
a₁ × 64 = 256 ( divide both sides by 64 )
a₁ = 4
Then
a₁ = 4
a₂ = 2a₁ = 2 × 4 = 8
a₃ = 2a₂ = 2 × 8 = 16
a₄ = 2a₃ = 2 × 16 = 32
a₅ = 2a₄ = 2 × 32 = 64
Find the distance on the number line between 14.3 and 4.1.
[tex]\\ \sf\longmapsto 14.3-4.1[/tex]
[tex]\\ \sf\longmapsto \dfrac{143}{10}-\dfrac{41}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{143-41}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{102}{10}[/tex]
[tex]\\ \sf\longmapsto 10.2[/tex]
Y equals 1/3 X +5 through (two, one)
Answer:
No solution
Step-by-step explanation:
1 = 1/3(2) + 5
1 = 17/3
Therefore no solution as 1 is not equal to 17/3
find the lowest number which leaves 3 as remainder when divided by 8,12 and 16
Answer:
147 is one such number and least number. This discussion on What is the least number which when divided by 8, 12 and 16 leaves 3 as the remainder in each case, butwhen divided by 7 leaves no remainder?