Determine an expression for the perimeter of the following shape. I need a step by step solution pleaseeeee:)
Answers
Answer:
The perimeter of the figure is: 8x + 34.
Step-by-step explanation:
The perimeter of a shape is the sum of the length of all its sides. In this case there is one side missing, we need to find its length. To do that we will have to use Pythagora's theorem, because we will create a right triangle as shown in the attached picture. Where a, b and c are the sides of the right triangle. We can determine the lengths of a and c. If we pay close attention to the figure we will realize that a is:
[tex]a = 2x + 5 - 2x = 5[/tex]
While c is:
[tex]c = 2(x + 7) - (x + 5) - (x - 3)\\c = 2x + 14 -x - 5 -x + 3\\c = 2x - 2x + 12\\c = 12[/tex]
We can now apply Pythagora's theorem:
[tex]b^2 = a^2 + c^2\\b^2 = 5^2 + 12^2\\b^2 = 25 + 144\\b = 13[/tex]
With this we can sum all the sides and calculate the perimeter of the shape.
[tex]2x + 5 + x - 3 + 2x + x + 5 + 13 + 2(x + 7)\\2x + x + 2x + x + 2x + 5 - 3 + 5 + 13 + 14\\8x + 34[/tex]
Related Questions
Which equation describes the line graphed above? A. -4x-5 B. -1/5x-4 C. -5x-4 C. -4x-1/5
Answers
Explanation:
The line go down one and turn right 5
So slope = -1/5x
And the y intercept is at -4
So B is the correct answer
The equation is -1/5x-4 represented by the graph. The correct option is B.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Let us check the equation -1/5x-4. The line goes down one and turns right 5. The Slope is -1/5x and the y-intercept is at -4. The graph of the equation is attached with the answer below.
Hence, option B is correct.
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Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A ( 2, -6) B ( 5, -6) C (5,-2) D (2.-2) What is the perimeter of rectangle ABCD? PLEASE ANSWER QUICK!!!
Answers
Answer:
The answer is 14
Step-by-step explanation:
Point A to Point B is 3
Point C to Point D is 3
Point B to Point c is 4
Point D to point A is 4.
Add all those together to get 14
Answer:
the answer is 14
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Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. How old is Daniel now?
Answers
Answer:
Kevin is 6 years old and Daniel is 3 years old
Step-by-step explanation:
They are now 3 years apart but two years ago, they were 4 and 1 years old, so Kevin was 4 times older than.
Hope this helped :)
What is a possible value of an integer that is more than 8 units from 20 but less than or equal to 29
Answers
Answer:
28 or 29
Step-by-step explanation:
8 more than 20 is 28 and it is less than 29
9 more than 20 is 29 and it is equal to 29
BRAINLIEST, 5 STARS & THANKS IF ANSWERED CORRECTLY
Find the 22nd term:
10.5, 11, 11.5, 12, 12.5...
Answers
Answer:
21
Step-by-step explanation:
This is an arithmetic sequence with a₁ (first term) = 10.5 and d (common difference) = 11 - 10.5 = 0.5
Explicit formula for arithmetic sequences: aₙ = a₁ + (n - 1) * d
Therefore, aₙ = 10.5 + (n - 1) * 0.5 = 0.5n + 10 so a₂₂ = 0.5 * 22 + 10 = 21.
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1.) 10.5
2.) 11
3.) 11.5
4.) 12
5.) 12.5
6.) 13
7.) 13.5
8.) 14
9.) 14.5
10.) 15
11.) 15.5
12.) 16
13.) 16.5
14.) 17
15.) 17.5
16.) 18
17.) 18.5
18.) 19
19.) 19.5
20.) 20
21.) 20.5
22.) 21
Hope this helped!! ٩(◕‿◕｡)۶
PLZ HELP ME NEED THIS FAST WILL GIVE BRAINLIEST
Answers
Answer: l = 60 ft and w = 30 ft
P = 2(l + w)
180 = 2(l + w)
Let x = width of his yard
Let 2x = length of his yard
[tex]180=2(2x+x)[/tex]
[tex]\frac{180}{2}=\frac{2(2x+x)}{2}[/tex]
[tex]90=3x[/tex]
[tex]\frac{90}{3} =\frac{3x}{3}[/tex]
[tex]x=30ft[/tex]
l = 2x = 30(2) = 60 ft
Check:
180 = 2(l + w)
180 = 2(60 + 30)
180 = 2(90)
180 = 180
LS = RS
Distance between points on a coordinate plane=(y2−y1)2+(x2−x1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√ distance between pointson a coordinate plane = ( y 2 − y 1 ) 2 + ( x 2 − x 1 ) 2 Find the distance when y2=8, y1=4, x2=6, y 2 = 8 , y 1 = 4 , x 2 = 6 , and x1=7 x 1 = 7 . A. 4.12 B. 6.95 C. 5.66 D. 3.87
Answers
Answer:
A. 4.12Step-by-step explanation:
Given the formula for calculating the distance between two points expressed as D = [tex]\sqrt{(y_2-y_1)^{2} + x_2-x_1)^{2} }[/tex]
Given the points y₂ = 8, y₁ = 4, x₂ = 6 and x₁ = 7, to determine the distance we will substitute this values into the given formula as shown;
[tex]D = \sqrt{(8-4)^{2} + (6-7)^{2} }\\\\D = \sqrt{(4)^{2} + (-1)^{2} }\\\\D = \sqrt{16 + 1 }\\\\\\\\D = \sqrt{17} }\\\\D = 4.12[/tex]
Choose the best estimate for the multiplication problem below.
20.82
6.94
A. 140
B. 190
C. 110
Answers
Answer:
140
Step-by-step explanation:
20.82 = 21 when rounded to the nearest whole number
6.94 = 7
21*7 = 147
The best estimate is 140
Find the measure of one exterior angle in each polygon.
Answers
Answer:
1-45 degrees
2-72 degrees
Step-by-step explanation:
exterior angle of a polygon = 360 ÷ number of sides
a shape has 8 sides is an octagon the measure of one angle = 360/8=45
a shape has 5 sides is pentagon the measure of exterior angles=360/5=72
Which table of values will generate this graph? On a coordinate plane, points are at (negative 2, 0), (0, 1), (0, negative 4), and (3, 0). A 2-column table with 2 rows. Column 1 is labeled x with entries negative 4, 1. Column 2 is labeled y with entries negative 2, 3. A 2-column table with 2 rows. Column 1 is labeled x with entries negative 2, 3. Column 2 is labeled y with entries negative 4, 1. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 0, 1. Column 2 is labeled y with entries 0, negative 2, 3, 0. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 0, 3. Column 2 is labeled y with entries 0, negative 4, 1, 0.
Answers
Answer:
Option D.
Step-by-step explanation:
The given points are (-2,0), (0,1), (0,-4) and (3,0).
In each ordered pair first element is x-coordinate and second is y-coordinate.
For 4 points, the table must have 2 columns and 4 rows.
So, the required table of values is
x y
-2 0
0 -4
0 1
3 0
Therefore, the correct option is D.
A company uses two vans to transport
workers from a free parking lot to the
workplace between 7:00 and 9:00 a.m.
One van has 9 more seats than the other.
The smaller van makes two trips every
morning while the larger one makes only
one trip. The two vans can transport 69
people, maximum. Let x be the seats in the small van and y the
seats in the large van. How many seats does the
larger van have?
Answers
Answer:
x=20 seats, y=29 seats
Step-by-step explanation:
y-x=9 y=9+x
2x+y=69 solve by substitution
2x+9+x=69
3x=69-9 3x=60
x=60/3=20 (small van)
y=9+x
y=29 (large van)
Answer : 20 in small , 29 in big as big van has 9 small van
Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and surrounded by packaging material. The total weight of the refrigerator, box, and packaging material was 205 pounds. What is the weight of the box and packaging material?
Answers
Answer:
13 lbs
Step-by-step explanation:
Wesley makes spherical fish tanks with a diameter of 30. A customer requests a smaller tank with half the volume of the tank that Wesley usually makes.
What is the approximate diameter of the smaller tank?
Round to the nearest tenth.
Answers
Answer:
23.8
Step-by-step explanation:
V = 4/3 π r³
V = 4/3 π (15)³
V = 4500 π
V = 4/3 π r³
4500 π / 2 = 4/3 π r³
1687.5 = r³
r ≈ 11.9
d ≈ 23.8
Answer:
23.8 is the diameter.
Step-by-step explanation:
How many solutions does this system have? x minus y = negative 4. 3 x + y = 8. one two an infinite number no solution
Answers
Answer:
One solution
Step-by-step explanation:
Answer:
The correct answer is A.) one
Step-by-step explanation:
I just did the test on edge 2021 and got it right!
you are going to give each customer 12fl oz of lemonade.If you have 15 gallons of lemonade prepared, how many customers will you be able to serve?
Answers
Answer:
160
Step-by-step explanation:
so 1 gallon is 128 fluid ounces
how many is 12fl oz
so (1×12)/128=0.09375gallons per person
and you have 15 so if one consumes 0.09375 how many can consume 15
so 15/0.09375
what is the slope of the line that goes through the points (-1 4) and (14 -2)?
Answers
Answer:
Slope is -0.4 or 2/5
Step-by-step explanation:
x , y x^2,y^2
(-1,4) (14,-2)
y^2-y^1/x^2-x^1
-2-4/14-(-1)
-6/15
=-2/5 or -0.4.
Hope this helps. If right pls give me brainliest thank you.
Answer:
it is -2/5
Step-by-step explanation:
Linda sells cookies for $2 and hamburgers for $3. She sold 25 items and made $60. How many cookies did she sell ?
Answers
Answer:
10 cookies
Step-by-step explanation:
10 x 3 = 30
15 x 2 = 30
30 + 30 = $60
The number of cookies sold by Linda will be 10 cookies.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Linda sells cookies for $2 and hamburgers for $3. She sold 25 items and made $60.
The number of cookies sold by Linda will be calculated as below:-
10 x 3 = 30
15 x 2 = 30
30 + 30 = $60
Therefore, the number of cookies sold by Linda will be 10 cookies.
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what are the x intercepts of the graph of the function below y=x^2-2x-15
Answers
Answer:
(5, 0) and (-3, 0)
Step-by-step explanation:
To find the x-intercepts, let's set y = 0.
0 = x² - 2x - 15
0 = (x - 5)(x + 3) -- To factor x² - 2x - 15, we need to find 2 numbers with a sum of -2 and product of -15; these numbers are -5 and 3.
x - 5 = 0 or x + 3 = 0 -- Use ZPP (Zero Product Property)
x = 5, x = -3
Answer:
x = -3 and x = 5.
Step-by-step explanation:
y = x^2 - 2x - 15
y = (x - 5)(x + 3)
The x-intercepts occur when y = 0. In this case, it's when either (x - 5) = 0, or (x + 3) = 0.
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Hope this helps!
Need Help ASAP!!!! thanks
Answers
Answer: 35 m3
Step-by-step explanation:
Hi, to answer this question, first we have to calculate the base of the pyramid:
Base area = 1/2x base length x height
Base area = 1/2 x 6 x 5 = 15 m2
Volume of a pyramid = 1/3 x base area x height
Replacing with the values given:
V = 1/3 x 15 x 7 = 35 m3
Feel free to ask for more if needed or if you did not understand something.
Identify the glide reflection rule to map ΔABC onto ΔA′B′C′ in the given figure.
Multiple choice:
(A.) Translation: (x, y) → (x, y – 4); Reflection across the x-axis
(B.) Translation: (x, y) → (x + 4, y); Reflection across the x-axis
(C.) Translation: (x, y) → (x, y + 4); Reflection across the x-axis
(D.) Translation: (x, y) → (x, y – 4); Reflection across the y-axis
Answers
Answer:
Answer D
Step-by-step explanation:
First of all, you see that the shape moves down 4 units, which means that (x, y - 4) works. Then, you see it being flipped over vertically, which means it's going over the y-axis. You see that the last answer is the one that works.
the sum of x and y is twice x. y=
Answers
Answer:
y is x because if x+y is 2x then y must equal x
The sum of x and y is twice x. Then the value of y will be equal to x.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that sum of x and y is twice x. Then the value of y will be calculated as below:-
x + y = 2x
y = 2x - x
y = x
Therefore, the sum of x and y is twice x. Then the value of y will be equal to x.
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Calculate the shaded region
Answers
Answer:
196 cm²-153.9375 cm² = 42.0625 cm ²
Step-by-step explanation:
First, solve for the whole 14^2 = 196 cm²
Now, we know it's lenths are the same so it's a square.
Lastly we need to deduct the quarter circle in the square. Use Formula A=πr² = A≈615.75 cm² /4 = 153.9375 cm²
The function f is given in three equivalent forms.
Which form most quickly reveals the y-intercept?
Choose 1 answer:
f(x) = -3(x - 2)2 + 27
© f(x) = -3(x.+ 1)(x – 5)
© f(x) = -3x2 + 12x + 15
What is the y-intercept?
y-intercept = (0,
Answers
Answer:
The third function because the y-intercept is (0, 15)
Step-by-step explanation:
Which lines are parallel to the graph of 4x - y = 6?
Answers
Answer:
Step-by-step explanation:
i cant see answers help my insta is 813.caden
Answer:
y+1=4(x-2)
y=4x+11
8x-2y+6
Step-by-step explanation:
Please answer this question now
Answers
Answer:
541.4 m²
Step-by-step Explanation:
Step 1: find m < V
V = 180 - (50+63) (sum of the angles in ∆)
V = 67
Step 2: find side length of XW using the law of sines
[tex] \frac{XW}{sin(V)} = \frac{XV}{sin(W)} [/tex]
Where,
V = 67°
W = 63°
XV = 37 m
XW
[tex] \frac{XW}{sin(67)} = \frac{37}{sin(63)} [/tex]
Multiply both sides by sin(67) to solve for XW
[tex] \frac{XW}{sin(67)}*sin(67) = \frac{37}{sin(63)}*sin(67) [/tex]
[tex] XW = \frac{37*sin(67)}{sin(63)} [/tex]
[tex] XW = 38.2 m [/tex] (to nearest tenth)
Step 3: find the area using the formula, ½*XW*XV*sin(X)
area = ½*38.2*37*sin(50)
Area = 541.4 m² (rounded to the nearest tenth.
What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minus 9 x EndFraction minus StartFraction x + 1 Over x squared minus 9 EndFraction StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction StartFraction (x + 5) (x + 4) Over x cubed minus 9 x EndFraction StartFraction negative 2 x + 11 Over x cubed minus 12 x minus 9 EndFraction StartFraction 3 (x + 2) Over x squared minus 3 x EndFraction
Answers
Answer:
[tex] \frac{(x + 5)(x + 2)}{ {x}^{3} - 9x } [/tex]First option is the correct option.
Step-by-step explanation:
[tex] \frac{2x + 5}{ {x}^{2} - 3x } - \frac{3x + 5}{ {x}^{3} - 9x } - \frac{x + 1}{ {x}^{2} - 9 } [/tex]
Factor out X from the expression
[tex] \frac{2x + 5}{x(x - 3)} - \frac{3x + 5}{x( {x}^{2} - 9)} - \frac{x + 1}{ {x}^{2} - 9} [/tex]
Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex] , factor the expression
[tex] \frac{2x + 5}{x(x - 3)} - \frac{3x + 5}{x(x - 3)(x + 3) } - \frac{x + 1}{(x - 3)(x + 3)} [/tex]
Write all numerators above the Least Common Denominators x ( x - 3 ) ( x + 3 )
[tex] \frac{(x + 3) \times (2x - 5) - (3x + 5) - x \times (x + 1)}{x(x - 3)(x + 3)} [/tex]
Multiply the parentheses
[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - (3x + 5) - x(x + 1)}{x(x - 3)(x + 3)} [/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression
[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - x \times (x + 1)}{x(x - 3)(x + 3)} [/tex]
Distribute -x through the parentheses
[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - {x}^{2} - x }{x(x - 3)(x + 3)} [/tex]
Using [tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex] , simplify the product
[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - {x}^{2} - x}{x( {x}^{2} - 9)} [/tex]
Collect like terms
[tex] \frac{ {x}^{2} + 7x + 15 - 5}{x( {x}^{2} - 9)} [/tex]
Subtract the numbers
[tex] \frac{ {x}^{2} + 7x + 10}{ x({x}^{2} - 9)} [/tex]
Distribute x through the parentheses
[tex] \frac{ {x}^{2} + 7x + 10}{ {x}^{3} - 9x} [/tex]
Write 7x as a sum
[tex] \frac{ {x}^{2} + 5x +2x + 10 }{ {x}^{3} - 9x } [/tex]
Factor out X from the expression
[tex] \frac{x(x + 5) + 2x + 10}{ {x}^{3} - 9x} [/tex]
Factor out 2 from the expression
[tex] \frac{x( x + 5) + 2(x + 5)}{ {x}^{3} - 9x } [/tex]
Factor out x + 5 from the expression
[tex] \frac{(x + 5)(x + 2)}{ {x}^{3} - 9x } [/tex]
Hope this helps...
Best regards!!
The difference of the expression [tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex] is [tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]
The expression is given as:
[tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex]
Factorize the denominators
[tex]\frac{2x + 5}{x(x -3)} - \frac{3x + 5}{x(x^2 - 9)} - \frac{x + 1}{x^2 - 9}[/tex]
Apply the difference of two squares to the denominators
[tex]\frac{2x + 5}{x(x -3)} - \frac{3x + 5}{x(x - 3)(x + 3)} - \frac{x + 1}{(x - 3)(x + 3)}[/tex]
Take LCM
[tex]\frac{(2x + 5)(x + 3) - 3x - 5 -x(x + 1) }{x(x - 3)(x + 3)}[/tex]
Expand the numerator
[tex]\frac{2x^2 +6x + 5x + 15 - 3x - 5 -x^2 - x }{x(x - 3)(x + 3)}[/tex]
Collect like terms
[tex]\frac{2x^2 -x^2 - x +6x + 5x - 3x+ 15 - 5 }{x(x - 3)(x + 3)}[/tex]
Simplify
[tex]\frac{x^2+7x+ 10 }{x(x - 3)(x + 3)}[/tex]
Factorize the numerator
[tex]\frac{(x+5)(x+ 2) }{x(x - 3)(x + 3)}[/tex]
Expand the denominator
[tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]
Hence, the difference of the expression [tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex] is [tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]
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Which could be used to solve this equation? 3 and one-fifth + n = 9 Subtract 3 and one-fifth from both sides of the equation. 3 and one-fifth minus 3 and one-fifth + n = 9 + 3 and one-fifth Add 3 and one-fifth to both sides of the equation. 9 + 3 and one-fifth = 12 and one-fifth
Answers
Answer:
Subtract [tex]3\frac{1}{5}[/tex] from both sides.
Step-by-step explanation:
We want to isolate the variable [tex]n[/tex]. To do this, we have to get rid of [tex]3\frac{1}{5}[/tex], which we can do by subtracting itself, since it equals 0.
[tex]3\frac{1}{5} + n =9[/tex]
[tex]n = 5\frac{4}{5}[/tex]
Answer:
ITS A
Step-by-step explanation:
PLS ANSWER ASAP Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answers
Explain
The triangle left side
Opposite side= hypotheses x sin 0
Plugin
Opposite side = 39 x sin 43
39 x 0.68
26.60
The right side
Opposite side = adjective side x tan0
Opposite side = 26.60 x tan 32
26.60 x 0.62
X= 16.6
Hope this help you :D
Find the indicated area under the curve of the standard normalâ distribution; then convert it to a percentage and fill in the blank. Aboutâ ______% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean). About nothingâ% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean).
Answers
Answer:
68.26%
Step-by-step explanation:
The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then the raw score id below the mean. The z score is calculated using:
[tex]z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score[/tex]
From the normal distribution table, Area between z equal -1 and z equal 1 = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826 = 68.26%
About 68.26% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).
There were 35 students in a class. They were given math books (each priced at $0.55) and other books the total value of which was n dollars. How much money was spent to provide the students with all these books.
Answers
Answer:
$19.25
Step-by-step explanation:
Answer:
19.25+n or n+19.25 you have to add it not multiply
Step-by-step explanation: