Answers
Answer:
The expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 21
Step-by-step explanation:
The perimeter is the sum of all side lengths for a 2d shape, such as this triangle. Our perimeter is thus
4x² - 3 + 4x² - 2 + 4x² - 1
We can then separate our variables and constants to make it
4x² + 4x² + 4x² - 3 - 2 - 1
Add the constants to get
4x²+4x²+4x² - 6
To add variables, we must first make sure that they are the same variable/letter as well as to the same degree. The coefficient only affects the result. Because all of our variables are the same letter (x) and are all to the second degree, we can add them. To do this, we simply add the coefficients together to make one big coefficient, and multiply that by the variable. Thus,
4x² + 4x² + 4x² = (4+4+4)x² = 12x²
4x²+4x²+4x² - 6 = 12x² - 6
Another way of looking at it is that 4x² = 4(x²) = x²+x²+x²+x²
Therefore, the expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 12 * 1.5² - 6 = 21
Related Questions
If A and B are (-2,-2) and (2,-4). Find the coordinates P such that AP=3/7 AB and P lies on the line segment ab
Answers
Answer:
The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].
Step-by-step explanation:
Point P:
The coordinates of point P are (x,y).
AP=3/7 AB
So
[tex]P - A = \frac{3}{7}(B-A)[/tex]
We apply this both for coordinate x and coordinate y.
Coordinate x:
[tex]x - (-2) = \frac{3}{7}(2 - (-2))[/tex]
[tex]x + 2 = \frac{12}{7}[/tex]
[tex]x = \frac{12}{7} - 2 = \frac{12}{7} - \frac{14}{7} = -\frac{2}{7}[/tex]
Coordinate y:
[tex]y - (-2) = \frac{3}{7}(-4 - (-2))[/tex]
[tex]y + 2 = -\frac{6}{7}[/tex]
[tex]y = -\frac{6}{7} - 2 = -\frac{6}{7} - \frac{14}{7} = -\frac{20}{7}[/tex]
The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].
Use the grouping method to express the polynomial below as product of its factors. Write each factor as a polynomial in descending order. x(5x-8)-3(5x-8)
Answers
Answer:
(5x-8)(x-3)
Step-by-step explanation:
The factor of this equation is 5x-8
So, after the factorization is (5x-8)(x-3)
If f(x) = 2x - 1, find f'(x).
Answers
Answer:
f'(x)=2
Step-by-step explanation:
[tex]if~y=ax^n\\where~a~is~constant.\\\frac{dy}{dx} =a nx^{n-1}\\f(x)=2x-1\\f'(x)=2*1x^{1-1}-0\\=2x^0\\=2*1\\=2[/tex]
Solve for x. assume that lines which appear tangent are tangent. x=
Answers
Answer:
x = 8
Step-by-step explanation:
The product of the length of the exterior segment of a secant and the length of the secant is equal to the correpsonding operation with the other secant.
9(9 + 11) = 10(10 + x)
180 = 100 + 10x
10x = 80
x = 8
Find the circumference
Answers
Answer:
75.36 mi
Step-by-step explanation:
Given :-
Radius = 12 mi .We know :-
→ Circumference = 2 π r
→ C = 2 * 3.14 * 12 mi
→ C = 75.36 mi
Answer:
Step-by-step explanation:
circumference of a circle=2πr
=2*3.14*12
=24*3.14
=75.36 mi
3) The triangles shown are congruent using ASA, but they arb not marked completely. Mark the corresponding parts in this drawing that must be congruent in order to apply the ASA. Then write the congruence statement in the spaces provided. (2 pts) CAB FDE ____=____
Answers
Answer:
angle A = Angle E
ΔCAB ≅ΔFED
Step-by-step explanation:
ASA means Angle side Angle Where the side is between the two angles
We have an angle C= F and a side AC = EF
We need angle A = Angle E
ΔCAB ≅ΔFED
WHAT IS FOURTH OFR 17%
Answers
Im not sur eabout this but i think it mean that 17% is like0.98_08
What is the value of x in the equation ?
Answers
Answer: x=2
Step-by-step explanation:
15x-10=10 + 6+ 2x
15x-2x=20+6
13x=26
X=2
Answer:
x = 2
Step-by-step explanation:
2.5(6x - 4) = 10 + 4(1.5 + 0.5x)
Distribute the 2.5
15x - 10 = 10 + 4(1.5 + 0.5x)
Distribute the 4
15x - 10 = 10 + 6 + 2x
Combine like terms
15x - 10 = 16 + 2x
Add 10 to both sides
15x = 26 + 2x
Subtract 2x from both sides
13x = 26
Divide both sides by 13x
x = 2
Bab needs help please!
Answers
Answer:
282.6 in³
Step-by-step explanation:
Volume = area circle * height
Area circle = πr²
Area circle = 3.14 * 9 = 28.26
28.26 * 10 = 282.6 in³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Step by step explanation:
Because I said so
6. Using the distributive property, find the following products 1002 x 1518
Answers
Answer:
The best choice of answer answer is = 1521036
[tex] {10}^x = 5[/tex]
What is x?
×= 5/log 10 ^10
x= In 5
x=log 10^5
x=1/2
Answers
Answer:
below
Step-by-step explanation:
10ˣ = 5
applying log to both sides
xlog 10 = log5
x = 0•699
lus
A
B
С
D
If AC = 18 and CD = 5, AD = [?]
Enter
Answers
Answer:
hey,
18+5=23
so AD=23
this is the correct answer :)
please mark as brainliest
¿ cuál será el volumen de una pirámide hexagonal si las aristas de la base miden 8cm, la apotema vale9.93cm y su altura es de 28cm?
Answers
Answer:
2224.32 cm³
Step-by-step explanation:
La fórmula para el volumen de una pirámide hexagonal = 1/3 (1/2 × P × a) × h
Donde a = Apotema = 9,93 cm
P = Perímetro =
Pirámide hexagonal = 6 × Bordes de la base = 6 × 8 cm = 48 cm
h = Altura = 28 cm
Por eso,
Volumen de la pirámide hexagonal = 1/3 (1/2 (48 × 9.93) × 28 cm
= 1/3 × 238.32 × 28 cm
= 2224.32 cm³
Volumen de la pirámide hexagonal = 2224.32 cm³
I need a little help what measurement is closest to the area of Nevada in square miles?
Answers
Answer:
110,050
Step-by-step explanation:
You have a rectangle at the top with a w of 310 and a l of 210 = 65,100
The triangle has a height of 290 and a base of 310 = 44,950
A = length(width)
A = (210)(310)
A = 65,100 miles
Now, solve for the triangle at the bottom. First we need to get the height, so..
500 miles - 210 miles = 290 miles
Now we can use the triangle formula
A = base(height)/2
A = 310(290)/2
A = 44,950 miles
Now add our two remaining areas.
44,950 miles + 65,100 miles = 110,050 miles
Therefore, the first option is correct.
Find three consecutive even integers such that the product of the second and
third integers is equal to 35.
Answers
Step-by-step explanation:
first number=x
second number=x+2
third number=x+4
(x+2)(x+4)=35
x(x+4)+2(x+4)=35
x²+4x+2x+8=35
x²+6x+8=35
x²+6x=35-8
x²+6x=33
x²+6x-33=0
using that, you can find the first number,
then use the data to find the other two.
a) How many possible outcomes are there when 3 coins are tossed? b) What is the probability of getting 3 heads? c) What is the probability of getting exactly one heads?
Answers
Answer:
a) there are 6 possible outcomes. b) the probability of getting 3 heads would be 3/6. c) the probability of getting 1 head is 1/6.
Copy and complete. Answer: (a) Increased by % (b) Increased by % (c) Decreased by % (d) Decreased by % (e) Increased by % (f) Decreased by %
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete; However, one can deduce from the options that the question refers to percentage change.
I will give two illustrations that shows how to calculate percentage change.
Illustration 1
Consider goods x with the following price change.
[tex]Old = \$45[/tex]
[tex]New = \$55[/tex]
The percentage change is:
[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]
[tex]\%Change = \frac{55-45}{45} * 100\%[/tex]
[tex]\%Change = \frac{10}{45} * 100\%[/tex]
[tex]\%Change = \frac{1000}{45} \%[/tex]
[tex]\%Change = 22.22\%[/tex]
This means there is a 22.22% increase
Illustration 2
Consider goods x with the following price change.
[tex]Old = \$45[/tex]
[tex]New = \$35[/tex]
The percentage change is:
[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]
[tex]\%Change = \frac{35-45}{45} * 100\%[/tex]
[tex]\%Change = \frac{-10}{45} * 100\%[/tex]
[tex]\%Change = -\frac{1000}{45} \%[/tex]
[tex]\%Change = -22.22\%[/tex]
The negative sign indicates percentage decrease
So, this means there is a 22.22% decrease
a 25% tip was payed on a 30$ meal what is the amount of the tip
Answers
Answer:
$7.50
Step-by-step explanation:
30 x 0.25= 7.50
Given the equation 5x + 23 = − 2x − 12, which order of operations completely solves for x?
Answers
Step-by-step explanation:
5x+2x=-12 -23
7x=-35
which will give you 1 over 5writing your answer in a standard form it helps you to get the answer easy and quickAnswer:
-5
Step-by-step explanation:
5x+23=-2x-12
5x-(-2x)+23=-12
5x+2x=-12-23
7x=-35
x=-35/7
x=-5
I need help understanding how to answer this question:
List the sides in order from the smallest to the largest.
Answers
the sum of two integers is 310. if one of them is - 52. find the other
Answers
Answer:
Integer = 362
Step-by-step explanation:
Let the two integers be x and y
Sum of two integers, x + y = 310 ------(1)
Given one of the integer, Let x = -52
Substitute x = -52 in (1) ,
-52 + y = 310
y = 310 + 52
y = 362
What is the value of f(3) in the function below? f(x) = 1/2 .2^x O A. 4 B. 2 O c. 133 3 2 D. 8
Answers
Answer:
B
Step-by-step explanation:
To evaluate f(3) substitute x = 3 into f(x) , that is
f(3) = [tex]\frac{1}{4}[/tex] × 2³ = [tex]\frac{1}{4}[/tex] × 8 = 2 → B
Answer:
2
Step-by-step explanation:
f(3)=1/4×2^3
f(3)=1/4×8
f(3)=8/4=2
Can you guys help me find the answer
Answers
:))))))))))))))
Answer:
Step-by-step explanation:
Start by looking at the face that is closest to the bottom left. It is a hexagon and it makes 1 face.
It is connected to a similar hexagon on the upper right by 6 tiles. So that adds 7 more faces.
The total is 2 hexagons + 6 rectangles = 8 faces.
Help me I don't know any
Answers
Answer:
25%
Step-by-step explanation:
(a)
We need to express in percent 8 as a percent of 32.
We have,
Numerator = 8
Denominator = 32
Percent,
[tex]P=\dfrac{8}{32}\times 100\\\\=25\%[/tex]
Hence, the required percentage is 25%.
Decrease 80ml by 40%
Answers
Answer:
48ml
because its the correct answer!
Answer:
48 ml
Step-by-step explanation. 80, percentage decreased by 40% (percent) of its value = 48
HELPPPPP
a) -3 x 4 - (-9) ÷3
b) 15 - 2(-8 +-7)
Answers
b)45
Hope this helps
Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?
x2 + y2 + 4x + 6y – 51 = 0
x² + y² – 4x – 6y – 51 = 0
x2 + y2 + 4x + 6y – 3 = 0
x2 + y2 – 4x – 6y – 3 = 0
Answers
The equation for the given circle is:
[tex]x^2 + y^2 + 4x + 6y - 3 = 0[/tex]
How to get the equation of the circle?
Remember that for a circle whose center is (a, b) and has a radius r, the equation is:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex]
In this case, the center is (-2, -3) and the diameter is 8 units, so the radius is r = 4.
Then the equation is:
[tex](x + 2)^2 + (y + 3)^2 = 4^2[/tex]
Expanding the squares we get:
[tex](x^2 + 2*2*x + 4) + (y^2 + 2*3*y + 3^2) = 16\\\\x^2 + y^2 + 4x + 6y + 4 + 9 - 16 = 0\\\\x^2 + y^2 + 4x + 6y - 3 = 0[/tex]
So the correct option is the third one.
If you want to learn more about circles:
https://brainly.com/question/1559324
#SPJ2
Which option would prove that triangle ABC ~ triangle XYZ? Select two options.
Answers
Answer:
BA/YX=BC/YZ=AC/XZ
Step-by-step explanation:
SINCE,
ABC AND XYZ ARE EQUILATERAL TRIANGLE
ALL THREE SIDES ARE EQUAL
For an afternoon flight, the cost of a premiunm ticket is reduced from $114 to $96.90
Calculate the percentage reduction in the cost of a ticket
Answers
Answer:
out of the 100% they took away 15% leaving u with 85% to pay I think, sorry if I'm wrong
Andres went out to a restaurant for dinner. His total bill before tax and tip was $27.30. He was charged an additional 9% tax and he also paid a 15% tip on the original bill.
Answers
Answer:
$25.66
Step-by-step explanation:
Given data
Total Bill before tax and tip= $27.30
Tax= 9%
Tip= 15%
Let us find the tax
=9/100*27.30
=0.09*27.30
=$2.457
Let us find the tip
=15/100*27.30
=0.15*27.30
=$4.095
Therefore his bill after tax and tip is
=27.30+2.457-4.095
=$25.66
