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.
A rectangle has a height of x+ 9 and a width of x^2 + 2x
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
X^2
+
2x
X
+
9
Answer:
x³ + 11x² + 18x
Step-by-step explanation:
(x² + 2x)(x + 9)
Step 1: Distribute x²+2x into x + 9.
x³ + 2x² + 9x² + 18x
Step 2: Combine like terms.
x³ + 11x² + 18x
The area of this rectangle is x³ + 11x² + 18x.
Answer:
Area= height x width = (x + 9) (x^2 + 2x) = x^3 + 2x^2 + 9x^2 + 18x = x^3 + 11 x^2 + 18x
Step-by-step explanation:
The height is (x + 9) and the width is (x^2 + 2x) and the the area of the rectangle is equal to: Area= height x width = (x + 9) (x^2 + 2x) = x^3 + 2x^2 + 9x^2 + 18x = x^3 + 11 x^2 + 18x
What is the value of c in the equation below?
24.22= a^b = 0
Answer:
There's no c in your uploaded question
What is the value of the fraction below?
0/25
Which of the following are equivalent to the expression 9/4(1.75−2 1/4)?
Answer: -1 1/8 (Decimal: -1.125)
How many minutes are there in 12.5 hours?
Answer:
750 minutes
Step-by-step explanation:
Answer:
750 minutes would be your answer
Step-by-step explanation:
Stella needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 3.25 hours and charged her $75 for parts.
The total was $188.75. What was the cost of labor, per hour?
9514 1404 393
Answer:
$35 per hour
Step-by-step explanation:
The total charge is the sum of costs of parts and labor. If h is the cost of a labor hour, then we have ...
188.75 = 75 + 3.25h
113.75 = 3.25h . . . . . . . . subtract 75
113.75/3.25 = h = 35 . . . divide by the coefficient of h
The cost of labor, per hour, is $35.
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:
Can somebody help me answer this into Y=Mx +B
Answer: Slope intercept form
Step-by-step explanation:
m=slope
b=y-intercept
I need help with this!
Answer:
Step-by-step explanation:
What is the question?
ILL MARK BRAINLIEST TO FIRST PERSON THAT ANSWERS CORRECTLY!
Annita baby sits at a rate of $7 per hour. Identify the type of relationship this represents. Explain your answer.
Answer: The relationship is proportional.
Step-by-step explanation: Because the baby sitters work corresponds to their hourly pay. (I think)
i’m tryna finish my exit ticket asap please i don’t need no links i just need help and the answer please
Answer:
B
Step-by-step explanation:
Not super good at understanding surface area yet, someone answer it please.
can anyone explain this to me?
A biologist is studying the growth rate of a bacteria sample. The sample started with a bacterial count of 331. The chemist's data shows the count to be increasing by 6% every 2 hours. At that rate, approximately what is the bacterial count after 6 hours?
A. 418
B. 450
C. 394
D. 470
What is the measure of the given angle in degrees? A=pi/3
Answer:
A = pi/3 = 1.05°
Step-by-step explanation:
somebody answer i need Help
Answer:
$5.00
Step-by-step explanation:
$5 because it occurs the most
Answer:
$5
Step-by-step explanation:
The mode is the price that appears the most often in a given list.
growth or decay pls answer
Answer:
exponential decay because the base is less than one
Step-by-step explanation:
2/3+1/12 what's the answer
Answer:
3/4 or 9/12 make the denominators the same then just add
Answer:
9/12 or simplified as 1/4
Step-by-step
2×4/3×4 + 1/12
= 8/12 + 1/12
= 9/12
= 1/4
pls help me out what up
Answer:
Answers are below
Step-by-step explanation:
29. 3(4x-5) + 4(2x+6)
Solution: 20 + 9
30. -8(2a - 3b) - 5(6b - 4a)
Solution: 4 − 6
31. 10(5g + 2h - 3) - 4(3g - 4h + 2)
Solution: 38 + 36ℎ − 38
hope this helps :) Let me know if you need any further explanations.
PLEASE HELP
Is th function shown a linear function?
EXPLAIN PLZZ
NO LINK
Can someone please help me answer this question asap thank you . No links please and thank you .
A traffic camera sits on top of a tower that has a height of 39 ft. The angles of depression of a car on a straight road at the same level as that of the base of the tower and on the same side of the tower are 31°. Calculate the the distance between the base of the poll and the car. Round to the nearest tenth of a foot. *
Answer:
48ft
Step-by-step explanation:
Distance of car A from the towerConsider ∆ACD tan25 = 50/AC AC = 50/tan25 = 50/0.4663 = 107.2 ft Distance of car B from the towerConsider ∆BCD tan40 = 50/BC AC = 50/tan40 = 50/0.8391 = 59.6 ftDistance from cars A and B AB = AC – BC = 107.2 – 59.6 = 48 ft The distance between the two cars is 48ftEvaluate 5!-4!=1
Please help with this thanks
Answer:
exact form:
1/4
decimal form:
0.25
116= 1
is correct
wieyrb;ewury b2e;qpwiybrq;wiy
5(22–3)-3(x+4),
Which expression is the simplest form of
9
A.
72-3
9
72-27
B.
C.
132-27
9
D. 72 – 3
Answer:
342
Step-by-step expl\
5335=454
i need help with all of them lololol
Answer:
(If you need the actual explanations for each one, just ask in comments)
Step-by-step explanation:
1: D
2: G
3: A (60/100 = 6/10 = 3/5)
4: H (Min = 18, Q1 = 19, Median = 23, Q3 = 24, Max = 26)
5: C (2:6 = 1:3; 3:9 = 1:3)
6: J (2:15 = 10:75; multiply each side by 5)
7: A (A & B: 6*2/3 = 4, 4 < 6, 4 not > 6. C: 6*3/2 = 9, 9 not < 6. D: 6*3/3 = 6 not > 6).
Hello, I need help with these math questions, can someone help as soon as you can?
Answer:
1. x<-2 2. -2<_x 3. x<_ 4
Step-by-step explanation:
hope this helps
Drag the dot to plot (-5, -9), and then select its location on the coordinate plane.
Amare drops a probe into a lake. The elevation of the probe changes
by - 13 feet every second. The probe takes 50 seconds to reach
the bottom of the lake. How deep is the lake? Show your work .
Answer:
13 x 50 = 650
Step-by-step explanation:
Answer:
75 ft
Step-by-step explanation:
Mhanifa please help i will mark brainliest!
Answer:
(11)
Rectangle
All interior angles are right angles
Diagonals bisect each other, diagonals are congruent
∠3 = 33°∠1 = ∠5 = 90° - 33° = 57°∠2 = 180° - 2*57° = 66°∠4 = 180° - 66° = 114°(12)
Rhombus
Diagonals are perpendicular and angle bisectors
∠2 = ∠5 = 53°∠1 = ∠4 = 90° - 53° = 37°∠3 = 90°30 months =
years
months
Answer:
2.5 years/2 years 6 months
Step-by-step explanation:
Half year = 6 months
One year = 12 months
Two years = 24 months
30-24=6 months
2 Years + 6 months = 2.5 years/30 months/2 years 6 months