Given:
The three sides of a triangle are:
[tex](x-8),(4x^2-3),(4x^2+4)[/tex]
The perimeter of the triangle 650 units.
To find:
The value of x.
Solution:
Perimeter of a triangle is the sum of all three sides of the triangle. So,
[tex]Perimeter=(x-8)+(4x^2-3)+(4x^2+4)[/tex]
[tex]Perimeter=8x^2+x-7[/tex]
The perimeter of the triangle 650 units.
[tex]8x^2+x-7=650[/tex]
[tex]8x^2+x-7-650=0[/tex]
[tex]8x^2+x-657=0[/tex]
Splitting the middle term, we get
[tex]8x^2+73x-72x-657=0[/tex]
[tex]x(8x+73)-9(8x+73)=0[/tex]
[tex](x-9)(8x+73)=0[/tex]
Using zero product property, we get
[tex](x-9)=0\text{ and }(8x+73)=0[/tex]
[tex]x=9\text{ and }x=-\dfrac{73}{8}[/tex]
For negative value of x, the side [tex](x-8)[/tex] will be negative, which is not possible because the side of a triangle cannot be negative.
Therefore, the only value of x is 9.
Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.
(a) How many ways can this be done, if the order of the choices is relevant?
?
(b) How many ways can this be done, if the order of the choices is not relevant?
Answer:24 , 4
Step-by-step explanation:
Given
There are 4 objects
(a)When the order is relevant
We use permutation to get the no of ways, that is
Choosing 3 objects out of 4
[tex]^4P_3=\dfrac{4!}{(4-3)!}=\dfrac{4!}{1!}\\^4P_3=24[/tex]
(b) When the order is not important, the same thing can be done in
[tex]^4C_3\ \text{ways}\\\\\Rightarrow \dfrac{4!}{1!3!}=4\ \text{ways}[/tex]
Solve for x:
3x + 2 = 11
A.
11
5
B. 3
11
13
D.
13
3
E. 6
Answer:it is b
Step-by-step explanation:
The sum of 10 and twice a number
(an equation)
Answer:
10+2x= the sum (anything could be put here)
Step-by-step explanation:
Well sum is automatically addition
Doubleing a number is basically multiplying it by 2
so
10+2x= whatever youw ant to put here
I need help please!!
need help please hurry
Can someone help me solve this
Answer:
BC=15.01
Step-by-step explanation:
tan(65) = x/7
x = 7 x tan(65)
x = 15.01
 please help me ahhh im doing 8th grade math with pythagorean theorem
Step-by-step explanation:
The pythagorean theorem is the sum of the two legs squares equal the hypotenuse squared.
The hypotenuse is the longest side so 3.5 is our hypotenuse.
Apply formula to see of true.
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {2.5}^{2} + {3}^{2} = {3.5}^{2} [/tex]
[tex]6.25 + 9 = (3.5 {}^{2}) {?} [/tex]
[tex]15.25 = 12.25 {?}[/tex]
So it isn't a triangle since they aren't equal
Favorite Color
red
32.86 %
blue
24.36 %
yellow
15 %
green
27.78 %
1728 students were asked to name their favorite color.
The results are shown in this circle graph.
How many students gave green as their favorite?
O A 94
OB. 480
O c. 28
D. 432
O E. 568
Answer:
I say 28
Step-by-step explanation:
because its 27 and it's almost to 28
Answer:
E. 568
Step-by-step explanation:
A graph of a system of two equations is shown. HELP!!!!!
Answer:
8 and 2
Step-by-step explanation:
8 and 2 because y=5x +3 would be 5+3 which is 8 and y= 3x - 1 would be 3 - 1 which equals 2.
Convert to a mixed number and simplify: 83/6
6
83
Answer:
13 5/6
Step-by-step explanation:
83/6 = ?
6 can go into 83, only 13 times. Which would make 83/6 turn into:
13 5/6
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people.
Answer:
(a) The area is 0.03 square miles
(b) The population density is 12000 people per square miles
Step-by-step explanation:
Given
See attachment for complete question
Solving (a): Area of Orchid Hill (in square miles)
The dimension of the neighborhood is 4 blocks by 3 blocks
Since each block are of the same dimensions
The area is calculated as:
[tex]Area = 4blocks * 3 blocks[/tex]
If [tex]20\ blocks = 1\ mile[/tex] then:
[tex]1\ block = \frac{1}{20} mile[/tex]
[tex]1\ block = 0.05mile[/tex]
So, we have:
[tex]Area = 4blocks * 3 blocks[/tex]
[tex]Area = 4 * 0.05 * 3 * 0.05[/tex]
[tex]Area = 0.03mi^2[/tex]
Solving (b): The population density of the neighborhood as people per square mile
From the question, we have:
[tex]People = 360[/tex]
[tex]Area = 0.03mi^2[/tex] --- calculated
So, the population density is:
[tex]Density = \frac{People}{Density}[/tex]
[tex]Density = \frac{360}{0.03}[/tex]
[tex]Density = 12000[/tex]
What is the surface area of the victory podium shown here? Include all surfaces of the podium, including the bottom. A. 61.5 square feet B. 61.75 square feet C. 65.25 square feet D. 69 square feet
Answer:
69
Step-by-step explanation:
the formula is 2( base x height) + 2 (base x width) + 2( height x width)
do that for top rectangle and bottom and add them together
Answer:
65.25 square feet.
The area of a rectangle is 38.5 square inches. The base of the rectangle is 4 inches. What is the height of rectangle?
Pls help me on this one. PLSSS :(
Answer:
The answer is 9.625
Step-by-step explanation:
So what you have is the area and the base of the rectangle. To find the height, just divide 4 into 38.5
38.5 / 4 = 9.625
To double check just multiple 9.625 by 4
9.625 x 4 = 38.5
Hope this helps
What's the circumference of a circle with a radius of 10 inches
Answer:
5
Step-by-step explanation:
5
find the perimeter of the figure
Answer:
the perimeter is 97 cm
Step-by-step explanation:
we find this by adding the lengths of all the sides
Answer:
10+3+3+33+33+15=97
Step-by-step explanation:
Can you maybe put up the explanation too and not just the answer? Thank you
Hope it helps you! .........
Consider the quadratic equation 3x^2-6=2x. (a) What is the value of the discriminant? (b) What does the discriminant of the quadractic equation tell about the solutions to 3x^2-6=2x?
Answer:
(a) discriminant is positive, 76
(b) the above tells you there are two real roots
Step-by-step explanation:
the discriminant is 'b² - 4ac'
3x² - 2x - 6 = 0 ∴ a = 3, b = -2, c = -6
(-2)² - 4(3)(-6) = 4 + 72
(a) The discriminant of the quadratic equation is positive, 76.
(b) The quadratic equation tells you there are two real roots.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
The discriminant of a polynomial in mathematics is a quantity that depends on the coefficients and enables inference of some root features without computing them.
Given that the quadratic equation 3x²-6=2x.
The discriminant Of the quadratic equation is calculated by the formula below:-
D = b² - 4ac
3x² - 2x - 6 = 0 ∴
a = 3, b = -2, c = -6
Put the value of the coefficient to get the value of the discriminant.
D = (-2)² - 4(3)(-6) = 4 + 72 = 76
Therefore, the discriminant of the quadratic equation is positive, 76, and the quadratic equation tells you there are two real roots
To know more about a quadratic equation follow
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621.72 round to the nearest whole number
Answer:
622
Step-by-step explanation:
Please mark brainliest
Answer:
Hi! The answer to your question is 622
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Hannah has an offer from a credit card issuer for 0% APR for the first 30 days
and 12.22% APR afterwards, compounded daily. What effective interest rate
is Hannah being offered?
A. 11.87%
B. 13.00%
C. 12.93%
D. 12.22%
i believe the answer is A.11.87% because interest rates tend to be lower than APR
If the first 30 days and 12.22% APR afterwards, compounded daily. The effective interest rate is: A. 11.87%
Effective interest rateAfter 1 year the daily percentage rate is compounded for:
(365 days - 30 dyas) = 335 days
Hence:
Effective interest rate=(1+0.1222/365)^335-1
Effective interest rate=(1+0.1222/365)^335-1
Effective interest rate=(1+0.00033479)^335-1
Effective interest rate=(1.00033479)^335-1
Effective interest rate=(1.11866-1)
Effective interest rate=0.11866×100
Effective interest rate=11.87% (Approximately)
Therefore the effective interest rate is: A. 11.87%.
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I need help with this and the first person who can answer this correctly gets a BRANLIST
Answer:
c
Step-by-step explanation:
c because no x values repeat
Lines a and b are parallel. The slope of line b is 1/3 . What is the slope of line a?
Answer:
1/3
Step-by-step explanation:
Used to coordinate gird plane to find a distance between the points round to the nearest hundred
Answer:
8.94
Step-by-step explanation:
Distance formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]d = \sqrt{(3 - (-5))^2 + (2-6)^2}[/tex]
[tex]d = \sqrt{(64 + 16)}[/tex]
[tex]d= \sqrt{80}[/tex]
[tex]d= 8.94[/tex]
Please I need help ASAP 40. Points
Total owed = starting amount x( 1 + interest rate) ^ time
The equation would be total = 550(1.12)^x where x is the number of months.
Replace total with 550x2 = 1100 and solve for x
It will double in 6.11 months. Round to 6 months
iPaddle charges $15 for paddleboard rentals plus $5 per hour. Write an equation in slope- intercept form to represent this situation where y represents the total cost, for x hours.
Answer:
Y=5/1x+15
Step-by-step explanation:
I know this is old, but no one answered it so I thought I would
What the answer. ? Please no links
Answer:
would not be able to use 3 1/2 ft
Step-by-step explanation:
8.5 + 4.5 > 3rd side ∴ 3rd side must be less than 13 feet
4.5 + 3rd side > 8.5 ∴ 3rd side must be greater than 4 feet
What is the best estimate for the quotient of the problem below? Round your answer to the nearest whole number
Answer:13
Step-by-step explanation: turn 6 1/4 into an improper fraction. Then, proceed to do the reciprocal of 1/2 which is 2/1 since this is division. You should get 12.5 and round from there to 13.
Help please. Question below.
Please help help me please ASAP I am begging someone please
No links or files
Answer:
1. b
2. e
3. a
4. f
5. g
Step-by-step explanation:
hope this helps
HELPP ME PLEASE!!!!!
Answer:
-6×-4 and -2×-12 are pairs
-3×4 and 6×-2 are pairs
-8×-2 and 4×4 are pairs
the rest are left overs
When Ben does his math homework, he finishes 10 problems every 7 minutes. At this rate, how long will
it take him to complete 35 problems?lols please help.
Answer:
in 7 minutes he solve 10 problems
he solve one problem in = 7/10= 0.7 minute
he solve 35 problem in = 0.7x35= 24.5 minute
Step-by-step explanation:
hope it helps ❤️