The expression that represents the perimeter of the rectangle is [tex]$\boxed{20c + 10}$[/tex] centimeters.
We are given that;
Width= (8c-5)(8c−5) centimeters
Length= (2c 10)(2c 10) centimeters
Now,
The perimeter of a rectangle is given by the formula:
P = 2l + 2w
where l is the length and w is the width.
[tex]$w = (8c-5)\ cm$[/tex]
and
[tex]$l = (2c+10)\ cm$[/tex]
Substituting these values into the formula for the perimeter, we get:
[tex]$P = 2l + 2w = 2(2c+10) + 2(8c-5) = 4c + 20 + 16c - 10 = \boxed{20c + 10}\ cm$[/tex]
Therefore, by rectangle the answer will be [tex]$\boxed{20c + 10}$[/tex].
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The equation 6x = 3y -12 is linear
True or False
Answer:
True :D .....................
Can someone please help me with proofs
2) AE is congruent to ED, BE is congruent to ED (a bisector splits a segment into two congruent parts)
3) Angle AEB is congruent to angle DEC (vertical angles are congruent)
4) Triangle ABE is congruent to triangle CDE (SAS)
Write an equation of the line passing through point P(0, -1) that is parallel to the line y = - 2x + 3. y =
Answer:6
-3y= 6 - 2x
Answer:
y=-2x-2
Step-by-step explanation:
Parallel means the same slope from the given slope in the statement.
To find the slope-intercept form equation, you must use the point-slope form which is y-y1=m(x-x1).
The given point (0, -1) includes 0 as the x-intercept and -1 as the y-intercept.
Because parallel is the same slope, the slope we'll insert into our equation is -2.
The point-slope form substituted with the given point and slope looks like the following:
y-(-1)=-2(x-0) which can be simplified to y+2=-2x+0
Solve the simplified equation.
y+2=-2x+0
-2 -2
y=-2x-2
That's the final equation.
Hope this helps.
Write the equation of a line parallel to x = 3 that contains (−4, 5).
Answer:
y=3x+17
Step-by-step explanation:
equation:
y-y¹=m(x-x¹)
substitute with same slope.
y-5=3(x-(-4))
y-5=3x+12
y=3x+17
i need help how to solve bc this is for a grade
Answer: i think its D
Step-by-step explanation:
A performing arts theater offers a group rate om season passes of $70 total for the first two passes plus $25 for each additional pass. what is the cost of 8 season passes at the group rate?
Answer:
$220.00
Step-by-step explanation:
$70 dollars for 2
$25x6
$70+$150=$220.00
How to identify the VA and HA in an equation?
Find the exact length of the third side. 95 n 76
Answer:
121.66
Step-by-step explanation:
To solve, use the Pythagorean Theorem, which says c² = a² + b². Enter 95 as a and 76 as b and square them both. This will give you 9025 for a, and 5776 as b. Add them to get 14,801. So, c² = 14,801. Find the square root of this to get approximately 121.66. So, the third side is about 121.66 in length.
Cory's baseball bat weighs 25.64 ounces, and his glove weighs 13.05 ounces. How much does his baseball gear weigh altogether?
Answer: 38.69
Step-by-step explanation:
Just do 25.64 + 13.05
Answer: 38.69
Step-by-step explanation:
Please help 11 points worth
Answer:
positive
cuz i just know :)
good luck
Explain what the differences between an arithmetic and geometric sequence are? IN FULL SENTENCES. *
Answer:
An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.
Step-by-step explanation:
pls make me brainliest
Simplify, if x = 2 and y = -1: 3(y + 2)^2 + 3x
Answer:
9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3(y + 2)² + 3x
x = 2
y = -1
Step 2: Evaluate
Substitute: 3(-1 + 2)² + 3(2)Add: 3(1)² + 3(2)Exponents: 3(1) + 3(2)Multiply: 3 + 6Add: 9My monthly utility bill was $69.86. There was just a rate adjustment and now my bill
is $64.72. To the nearest tenth of a percent, by what percent did my water bill
change?
what’s the mean (average) for the data 12 4 16 20
Answer:
13
Step-by-step explanation:
Add all of the numbers, and divide by the amount of numbers. In this instance, all four added together numbers is 52, and divided by 4 is 13. Hope this helps!
Answer:
The answer is 13.
Step-by-step explanation: In order to find the average in a set of numbers, you must add all numbers and divide them by the numbers of numbers which you have added.
For example for your problem, I added 12 + 4 +16 +20 and I got 52. Then count the numbers which u have added. There are 4 numbers I have added. Then divide that number by the total. So it would be 52/4 and once you divide, you have your answer!
Hope this helps!
Two brothers went shopping at a back to school sale where all shirts and shorts were the same price. The younger brother spent $145 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and and 7 pairs of shorts and paid a total of $125 How much did one shirt cost?
Someone help me out with this question
The answer is A or the 1 selectible option
You just need to look at it from left to right
4. State what additional information is required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate
The additional information required to prove the SSS Triangle Congruence Postulate is BC = KC
How to state the additional information required?The congruence postulate is given as:
SSS Triangle Congruence Postulate
The above means that the three sides of the triangles are congruent.
From the figure, the following side lengths are said to be congruent
AK and AB
AC and AC
For the congruence postulate of the triangle to be SSS Triangle Congruence Postulate, then the third corresponding sides must be congruent
This is represented as:
BC = KC
Hence, the additional information required to prove the SSS Triangle Congruence Postulate is BC = KC
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The empirical rule states that, for data having a bell-shaped distribution, the percentage of data values being within one standard deviation of the mean is approximately.
Answer:
empirical rule: about 68% of the data is within 1 standard deviation of the mean.
Step-by-step explanation:
Use long division to find the quotient (16x3 + 4x2 - 144) / (4x - 8)
Answer:
[tex] - 22 x - 8[/tex
okvsxhxhxhdhdh
Answer: 4x^2+9x+18
Step-by-step explanation: yes
The LCM of 4, 9, and 10 is _______.
36
180
40
90
Answer:
180
Step-by-step explanation:
Multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200
Stay safe and Merry Christmas! :)
Answer:
the answer is 180
Step-by-step explanation:
find the volume v of the described solid s. the base of a solid s is the region enclosed by the parabola y = 4 − x2 and the x-axis. cross-sections per
The volume v of the described solid s = 8 cubic units .
Given : a parabola y = 4 - ( x ^ 2 )
Writing eq . y = 4 - ( x ^ 2 ) in terms of x ,
( x ^ 2 ) = 4 - y
x = ± [tex]\sqrt{4 - y}[/tex]
A ( y ) = ± [tex]\sqrt{4 - y}[/tex] * ( ± [tex]\sqrt{4 - y}[/tex] )
A ( y ) = 4 - y
Volume the given solid = [tex]\int\limits^4_0 {( 4 - y )} \, dy[/tex]
= 4 ( 4 ) - [ ( 4 ^ 2 ) / 2 ]
= 16 - 8
= 8
Hence , the volume v of the described solid s = 8 cubic units .
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PLS HELP ME!!!!!! !!!!!!!!!!!!!”
its D
Solution:
[tex] \sqrt{60 } = \sqrt{4 \times 15} = \sqrt{4 } \times \sqrt{15} = 2 \sqrt{15 \: } \: ans[/tex]Dina can run 4 miles in 30 minutes. If she maintains this pace, how many miles can she run in 90 minutes?
Answer choices
A. 12
B. 16
C. 8
D. 15
Answer:
15minutes / 2miles = 7.5 minutes to run a single mile.
7.5minutes * 5miles = 37.5minutes
37.5minutes to run 5 miles
Step-by-step explanation:
Answer:
A. 12
Step-by-step explanation:
Set up a proportion: [tex]\frac{4}{30} = \frac{x}{90}[/tex] Cross multiply, then divide: 4 × 90 = 360, 360 ÷ 30 = 12So, Dina can run 12 miles in 90 minutesI hope this helps!
Simplify the expression
a. x^2
b. x^3
c. x^1/3
d. x^1/2
Answer:
d
Step-by-step explanation:
When you exponent an exponent with another exponent, you multiply them together
[tex]Answer:\ x^\frac{1}{2}[/tex]
Step-by-step explanation:
[tex](x^\frac{1}{6})^3=\\\\ x^\frac{1*3}{6}=\\\\ x^\frac{3}{2*3} =\\\\x^\frac{1}{2}[/tex]
HELP HELP HELP FAST PLS PLS
Marc sold 500 tickets for the school play. Student tickets cost $2 and adult tickets cost $5. Marc's sales totaled $1,789. a) Write a system of equations that can be used to determine how many of each type of ticket Marc sold b) Solve the system to determine how many adult tickets and how many student tickets Marc sold.
Answer:
a) System of equations will be: [tex]x+y=500\: and\:5x+2y=1789[/tex]
b) Number of adult tickets sold = 263
Number of students tickets sold = 237
Step-by-step explanation:
Let:
Number of adult tickets sold = x
Number of students tickets sold = y
a)
As Marc sold total 500 tickets, the expression will be: [tex]x+y=500[/tex]
Student tickets cost $2 and adult tickets cost $5. Marc's sales totalled $1,789.
The expression will be: [tex]5x+2y=1789[/tex]
So, system of equations will be: [tex]x+y=500\: and\:5x+2y=1789[/tex]
b)
Solve the system to find value of x and y
Let:
[tex]x+y=500--eq(1)\\5x+2y=1789--eq(2)[/tex]
Multiply equation 1 by 2 and subtract
[tex]2x+2y=1000\\5x+2y=1789\\-\:\:\:-\:\:\:\:\:\:\:\:\:-\\------\\-3x=-789\\x=\frac{-789}{-3}\\x=263[/tex]
We get value of x = 263
Now finding value of y by putting value of x in eq(1)
[tex]x+y=500\\263+y=500\\y=500-263\\y=237[/tex]
We get value of y = 237
Number of adult tickets sold = x = 263
Number of students tickets sold = y = 237
What is the angle relationship between the House and Bank? And is the relationship Congruent or Supplementary?
Answer:
congruent
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
so yes, they are congruent because they have the same angle
If a line has a slope of -3/8, what is the slope of any line perpendicular to that line?
Answer:
The slope of they line is 8/3 = 4
Step-by-step explanation:
When two lines are perpendicular, the product of the slope of the lines is -1
Thus, we have that;
-3/8 * m = -1
3m/8 = 1
3m = 8
m = 8/3
When using Synthetic Division, you can tell if something is a factor if...
1 it has a remainder of over 100.
2. it has a negative remainder.
3.. it has a remainder of zero.
The equation of the line in the graph is y = x + .
Answer:
Step-by-step explanation:
y=x+b
What is 22 lb day in oz h?
Answer:
352 OZ
Step-by-step explanation:
One pound = 16 OZ
take 22 and multiply it by 16
22 x 16 = 352
Answer:
15 ounces per hour
Step-by-step explanation:
This is dimensional analysis, so we need to find conversion factors for ounces per pound and hours per day. Once we have those we write the equation such that the units we need are left and the others cancel:
22lb/1 day x 16 ounces/1 lb x 1 day/24hrs = 14.66666666666 ounces per hour
Since the problem was written with no decimals, our answer probably shouldn't either and in most cases like this we want to round to the nearest whole number, which is 15.