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.
What are the zeros of f(0) ** - 202
OAX-5 and x4
BN-10 and x = 2
OCX-2 and x = 10
DX-4 and 5
Answer:
b
Step-by-step explanation:
What is the answer to 8x<6? Please help
Answer:
x<3/4
Step-by-step explanation:
8x<6
x<6/8
x<3/4
I hope this helps
Answer:
x = 3/4
Step-by-step explanation:
5.
Write the inequality in words.
3n < 52
A. fifty-two less than three times n
B. Three times n is less than or equal to fifty-two.
C. Three times n is less than fifty-two.
D. Three times n is greater than fifty-two.
Answer:
C
Step-by-step explanation:
3n= 3 times n
And it is less than 52
Answer:
C. Three times n is less than fifty-two.
Step-by-step explanation:
A line is perpendicular to y = 3x - 8 and
intersects the point (6, 1).
Write the equation in slope-intercept form.
Answer:
Step-by-step explanation:
a line perpendicular to the give formula has a reciprocal slope and it's sign is changed also.
then m = -1/3 for our perpendicular line
y - 1 = -1/3(x -6)
y -1 = -1/3x + 2
y = -1/3x +3
there you go :)
When given a word problem, what should you always do to better visualize the problem?
Step-by-step explanation:
1.Read the Entire Word Problem.
2.Think About the Word Problem.
3.Write on the Word Problem.
4.Draw a Simple Picture and Label It.
5.Estimate the Answer Before Solving.
6.Check Your Work When Done.
7.Practice Word Problems Often.
plzz help if right i give brainliest
Answer:
b. (x+6)(x-6)
Step-by-step explanation:
x^2-36 So to get to this answer you can do two things
1. Guess and check
2. Factor it out (which is what I like to do)
In order to get x^2 you need 2xs that are positive which knocks out c and d
Then to get to -36, you need to multiply a positive 6 and a negative 6
(This was poorly explained but if you need anymore help just lmk)
help plss need help with this
9514 1404 393
Answer:
2y
Step-by-step explanation:
Eliminating parentheses, we have ...
30x +30y -30x -28y
Grouping like terms gives ...
(30x -30x) +(30y -28y)
Simplifying leaves ...
0x +2y
2y
Find the volume of the right circular cone that’s has the radius of 4 inches and height of 12 inches
Answer:
64 pi in3.
Step-by-step explanation:
Solve the linear inequality: x ≤ -x + 4
Answer:
x ≤ 2
Step-by-step explanation:
i hope this helps :)
PLSS HELP ME ASAP!!!
What is the area of the triangle?
Answer:
45cm^2 is your answer :)
Step-by-step explanation:
Write the equation of the line, with the given properties, in slope-intercept form.
Slope = -7, through (-5,5)
What is the equation of the line?
Answer:
y=-7x-30
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-7(x-(-5))
y-5=-7(x+5)
y=-7x-35+5
y=-7x-30
Mclane is playing a game where you get 5 points for correct answers and lose 3 points for incorrect answers. If he gets 6 questions correct and 7 questions incorrect, what was his final score?
Answer:
9
Step-by-step explanation:
final score = total points for correct answer - total points for wrong answer
total points for correct answer = 5 x 6 = 30
total points for wrong answer = 7 x 3 = 21
30 - 21 = 9 points
x^2+18x+c I have to solve for c
Answer: 81
Step-by-step explanation:
What should be done to x^2-10x in order to create a perfect square?
A)subtract 25
B)subtract 5
C)add 5
D)add 25
Answer: B)subtract 5
(x-5)^2-25
Step-by-step explanation:
2a=-10
Divide both sides by 2
2a/2=-10/2
Simplify
a=-5
Add and subtract
x^2-10x+(-5)^2-(-5)^2
Complete the square
(x-5)^2-(-5)^2
Simplify;
(x-5)^2-25
Answered by one other than the ONE & Only #QUEEN herself aka #DRIPPQUEENMO!!
HOPE THIS HELPED!!
please help me with this
Answer:5,2,4,8
Step-by-step explanation:hope it helped
Find the 50th term of the
sequence:
65536, 49152, 36864, 27648...
A) 0.0495
B) 0.066
C) 0.088
D) 0.117
Find the value of the ratio.
Can someone help please???
A rectangle has a length of 2x+3 and a width of 10x-4. Find the perimeter and area of the figure
Step-by-step explanation:
perimeter is 4x+6 +20x-8=20x-2
area is 20x^2+22x-12
Find the key features for m [x]=3x^2+13x-30
Answer:
x1= -6 and x2= 5/3
Step-by-step explanation:
good luck
Jada's teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?
Answer:
Correct
5x + 3 = 17
Step-by-step explanation:
So we need to find the book wieght only so take away the bag's weight from the total. 17-3=14. Now it says 5 books so divide 14 by 5 which is 2.8.
= 2.8 pounds
How much larger is 6 x 10^5 compared to
2 x 10^3?Explain how you know.
Answer:
6 x 10^5 is 300 times greater than 2 x 10^3.
Step-by-step explanation:
Use division to compare.
(6 × 10^5)/(2 × 10^3) = 6/2 × 10^5/10^3 = 3 × 10^2 = 3 × 100 = 300
6 x 10^5 is 300 times greater than 2 x 10^3.
There is 6 × 10⁵ is 300 times greater than 2 × 10³.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
The exponents are given in the question, as follows:
6 × 10⁵ and 2 × 10³
The exponents in scientific notation as a shorthand for the number of zeroes in the number.
We use division to compare.
( 6 × 10⁵)/(2 × 10³)
= 6/2 × 10⁵/10³
= 3 × 10²
= 3 × 100
= 300
This means 6 × 10⁵ is 300 times greater than 2 × 10³
Learn more about the Scientific Notation here :
https://brainly.com/question/20533245
#SPJ2
Find the volume of a pyramid with a square base, where the area of the base is
13.2 cm² and the height of the pyramid is 13.7 cm. Round your answer to the
nearest tenth of a cubic centimeter.
Answer:60.3cm^3
Step-by-step explanation:
i got it wrong and that was the answer lol
Last year, a lighting supplier called Bright Idea shipped a total of 37,220 lamps to its distributors. This year, the supplier shipped 29,776 lamps. What is the percent of decrease in the number of lamps shipped annually?
Answer:
25%
Step-by-step explanation:
Given data
Last years shipment= 37220 lamps
These years shipment= 29776 lamps
% Decrease= Initial-Final/Initial*100
% Decrease= 37220-29776/29776*100
% Decrease= 7444/29776*100
% Decrease= 0.25*100
% Decrease= 25%
Hence the decrease is 25%
Jacub is trying to find the volume of a traffic cone that has the height of 2.4 ft and a diameter of 1.25 ft. He calculated that the
volume is 11.8 ft. What did he do wrong?
CAN SOMEONE HELP ME PLEASE!❤️ i would really appreciate it it’s due today and I’m having trouble understanding this question. 4/15/21
Answer:
he did half the diameter
Step-by-step explanation:
Volume? Correct answers please
Answer:
V = 1385.44
Step-by-step explanation:
The equation for volume is V = π r 2 h! Where V = volume, r = radius (half the diameter), and h = height. Now lets substitute what we know into this equation!
Since we are giving the diameter (14) we must divide by 2 to find the radius.
14 ÷ 2 = 7
Radius = 7
Height = 9
V = ?
Time to plug these values in!
V = π [tex]7^{2}[/tex] (9)
We have to distribute pi to 7 square that term and then multiply the value by 9.
V = 1385.44
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
3/4 ft= blank inches
Santiago gave out a survey to some students in his school about their favorite color. 429 of those surveyed said their favorite color was blue. If 55% of the students surveyed said their favorite color was blue, how many students were surveyed in total?
Answer:
780
Step-by-step explanation:
property . Simplify the expression 2(5+r) using the distributive property.
Answer:
2x5 = 10
1xr = 2r
Ans : 10+2r
Step-by-step explanation:
[tex]\huge\boxed{Hi\:there!}[/tex]
We are asked to simplify the given expression using the Distributive Property.
All we have to do is multiply 2 times 5 and r:
2(5+r)
10+2r
[tex]\huge\boxed{Hope\:it\:helps!}[/tex]
[tex]\huge\bold{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
Abbie is 5 years older than twice her sister’s age. Abbie is 25 years old. Which
equation can be used to find her sister’s age?
What percent of 2.5 is 0.2. Please helllllp. My whole family is trying to figure out this darn problem!
Answer: 8
Step-by-step explanation: hope this helps