Answer:
[tex]x =\frac{-26}{3}[/tex]
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x+32−7x=−2(5x+10)
3x+32+−7x=(−2)(5x)+(−2)(10)(Distribute)
3x+32+−7x=−10x+−20
(3x+−7x)+(32)=−10x−20(Combine Like Terms)
−4x+32=−10x−20
−4x+32=−10x−20
Step 2: Add 10x to both sides.
−4x+32+10x=−10x−20+10x
6x+32=−20
Step 3: Subtract 32 from both sides.
6x+32−32=−20−32
6x=−52
Step 4: Divide both sides by 6.
6x
6
=
−52
6
x=
−26
3
Simplify (2i-1)(i^2-3i-7)
Answer: 14-13i
Step-by-step explanation:
Answer:
14 - 13i
Step-by-step explanation:
We MUST do the work inside parentheses before anything else.
Step 1: evaluate i^2: (2i-1)(i^2-3i-7) = (2i-1)(-1 -3i -7)
Step 2: combine like terms inside the parentheses: (2i-1)(-8 - 3i)
Step 3: perform the indicated multiplication of binomials:
-16i + 6 + 8 + 3i
Step 4: combine like terms of the above expression: 14 - 13i
find the area of the semi circle please
Answer:
58.4197cm^2
Step-by-step explanation
cirlce area formula: [tex]\pi[/tex]r^2
r= 6.1
[tex]\pi[/tex]=3.14
Now plug numbers into the formula
area of circle:
= (3.14)(6.1^2)
=(3.14)(37.21)
= 116.8394cm^2 ------> area of full circle
now divide by 2, to find area of semi circle
116.8394/2= 58.4197cm^2
[tex] \huge\fbox\red{A}\fbox\pink{n}\fbox\purple{S}\fbox\green{w}\fbox\blue{E}\fbox\orange{r}[/tex]
area of semicircle is 58.572 m²
[tex] \huge \sf { \fcolorbox{green}{g}{Explanation :- }}[/tex]
[tex] \huge \underline{\large \fbox \red{Concept : }}[/tex]
We have to find the area of semicircle
So firstly we need to find the area of circle. because the semicircle of circle is the half of area of circle so first we find the area of circle then divide by 1 /2 then we get the area of semicircle.
We have given the radius of circle is 6.1 m
[tex]\huge\mathfrak\red{Solution : }[/tex]
[tex] \mathfrak \green{Area \: of \: circle = π × ( radius) ²}[/tex]
[tex]\mapsto \: \: \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times( 6.1 \: m)^{2} } \\ [/tex]
[tex]\mapsto \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times37.21 \: m {}^{2} } \\ [/tex]
[tex]\mapsto \: \small\: \: \: \: \: \: \mathfrak \blue{ = 116.94 \: m {}^{2} }[/tex]
Therefore,
[tex]\small \mathfrak \red{Area \: of \: semicircle = \frac{1}{2} \times area \: of \: circle}[/tex]
[tex] \small \mathfrak \green{ = \frac{1}{2} \times 116.94 \: cm \: {}^{2} } \\ [/tex]
[tex]\mapsto \: \small\: \: \: \: \: \: \mathfrak { = 58.472\: m {}^{2} }[/tex]
[tex] {\underline {\fbox\red{Hence, the area of semicircle is 58.572 m²}}}[/tex]
A 12-ounce box of cereal costs $3.60. Which equation correctly relates the price (p) with the weight (w) of the cereal?
Answer:
A. P = 3.3w
Step-by-step explanation:
A. P = 3.3w
B. P = 0.3w
C. P = 3.6w
D. P = 12w
P = price of the cereal
w = weight of the cereal
p = $3.60
w = 12-ounce
3.60p = 12w
Divide both sides by 3.60
3.60p / 3.60 = 12w / 3.60
P = 3.3w
The correct answer is A. P = 3.3w
What is MCAD
A. 25
B.90
C.100
D.115
Please help!!!!
Answer:
D.115
Step-by-step explanation:
Use the exterior angle of a triangle theorem which states that the exterior angle of a triangle is equal to the sum of the opposite interior angles meaning D=C+B
A silk worm grows twice asd long as it was the day before .If the worm measures v40 mm on the 10 th day, on which day was it 2.5 mm long
Answer:
On the sixth day (10 - 4), the worm was 2.5mm long.
Step-by-step explanation:
Giving the following information:
Future Value= 40mm
Present Value= 2.5mm
Number of periods (n)= ?
Growth rate= 100% per day
First, we need to calculate the number of days it will take to grow from 2.5mm (PV) to 40mm (FV):
n= ln(FV/PV) / ln(1+i)
n= ln (40 / 2.5) / ln (2)
n= 4
It will take 4 days.
On the sixth day (10 - 4), the worm was 2.5mm long.
Julie uses 9.3 pints of white paint and blue paint to paint her bedroom walls. 3/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Last year Rikki sang 960 songs with his rock band. How many songs did he sing per month? How did you get your answer?
Answer:
80 songs per month.
Step-by-step explanation:
There are 12 months in a year
So you do 960 divided by 12 to see how many songs he sang per month
And you get 80.
How do I solve for an answer for this?
16k-24
Find the GCF
A fmaily wants to rent a van for a four day camping trip. The rental cost is $32.00 per day plu s$0.15 per miles driven. Their vacation budget allows them to spend $225.00 to rent the van. Which expression represents the number of miles that they can drive without going over their budget?
Answer:
The expression is: (225 - (32 × 4))/0.15
Steps:
first we'll calculate the rental cost of 4 days without the miles driven
32 × 4 = $128.00
now we'll calculate the money that can be spent on miles
225 - 128 = $97.00
with $97.00 they can drive: 646.66 miles
97 / 0.15 = 646.66 miles
The expression is: (225 - (32 × 4))/0.15
This is right? Isn’t it???
Write each of the following expressions without using absolute value.
−|−3|+|−7|
tysm----if you solved----:P
Answer:
-3+7=4 is the answer if thats what you is looking for
Step-by-step explanation:
antonio and emilia are painting a room in their new house. antonio could finish the job in only 6 hours by himself, while emilia could finish the job in only 4 hours by herself. how long would it take them if they worked together?
Answer:
Step-by-step explanation:
Antonio’s rate is 1/6 while Emilia’s rate is 1/4 while working alone, together they will complete the job when.
t/6+t/4=1 making common denominators
(t/6)(2/2)+(t/4)(3/3)=1
(2t+3t)/12=1
5t=12
t=2.4 hours (or 2 hours and 24 minutes)
Pls help! brainliest if correct and 50 points awarded! look at the image! :)
Answer:
A and D
Step-by-step explanation:
Can someone help me please? I keep getting this wrong. Match the reasons for the statements. Thank you!
Answer:
Step-by-step explanation:
Given is 1
Corresponding angles Postulate is 2
Substitution is 4
Same side theorem is 3
WILL GIVE BRAINLIEST!
Find x given y = 28° from the figure below.
x =
[tex]5x + x + y + 2x = 180 \\ y = 28 \\ 5x + x + 28 + 2x = 180 \\ 8x + 28 = 180 \\ 8x = 180 - 28 \\ 8x = 152 \\ x = 19[/tex]
helppp :))) i- wasnt listening
Answer: 130 cm
Step-by-step explanation:
Let's take the equation for the volume of a rectangular prism
V=Length * Width * Height (L*W*H)
[tex]V=W*L*H[/tex]
V=2*13*5
[tex]V=2*13*5[/tex]
V=130 cm
[tex]V=130cm[/tex]
Write an equation for each circle
1. center (-1,-5);r = 2 units
3. center (-8, 7); r = 12 unit
5. center (0.5, 0.7); r = 13.5 unitsand
Hey guys 25 points and brainliest!
Answer:
9.1 = a + 4
Step-by-step explanation:
I need to get in helppppppppppp
#9
can somebody please help me, this is due in 20 minutes
Answer:
61°
Step-by-step explanation:
In order for triangle LMN and PQR to be congruent, angle M and angle Q must equal. thus, we can set 2x-26=x+16
with basic algebraic manipulation, x=42. we then plug it back into the angle M or Q, getting angle M/Q= 58°
since this is a isoceles, the 2 base angle are identical, so 180= 58+2(angle P)
thus, angle P= 61
jose is now six years older than john. in two years jose will be twice as old as john. How old is john now.
Answer:
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠛⠛⠿⠿⣿⣿⣷⣄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⠀⠀
⠀⠀⢀⣠⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀
⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣿⣿⡿⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀
⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀
⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀
⠀⠀⠀⠙⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡿⣟⣯⣿⠟⡉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣽⣿⣿⣿⠿⠿⠟⠒⠉⠉⠉⠉⠉⠉⠉⠙⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠋⠉⢀⣠⣤⣤⡔⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠾⠛⠋⠉⠀⢀⣀⠐⣤⣶⣶⡤⢤⣤⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣰⣶⣾⣿⣿⣿⣆⠀⣀⣀⡀⣀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⢀⢀⣀⠀⣀⣈⡿⠿⠿⠽⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠿⠿⠿⠿⠾⠟⢁⣀⡴⣦⠆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣤⣀⣀⠀⠀⠀⠀⢘⣿⣍⡷⠆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣄⠈⠉⠛⠛⠿⠓⠀⠉⠋⠉⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡀⠙⠻⢶⣶⡤⠀⠀⠛⠶⠾⠼⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠈⠻⣶⣤⡀⠀⠀⢸⠿⣶⣦⣤⣠⣾⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠙⢷⣤⣀⠈⠁⠀⠀⢠⣤⣀⠈⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⢧⣀⠉⠛⠃⠀⠀⠀⠀⠉⠛⠿⠿⠻⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢳⣄⠙⠛⢋⠁⠀⠀⠀⠘⠿⣴⣤⣄⣤⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⡙⠛⠋⠀⠀⠀⠀⠀⠰⣤⣀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⡈⠉⠉⠀⠀⠀⠀⠀⠀⢀⡈⠙⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡉⠛⡁⠀⠀⠀⠀⠀⠀⠈⠻⠷⣶⣦⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡈⢷⣌⠙⠛⠁⠀⠀⠀⠀⠀⠀⠰⣦⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⡉⠛⠛⠀⠀⠀⠀⠀⠀⠀⢀⠈⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢦⣀⠉⠛⠷⠖⠀⠀⠀⠀⠀⠀⠀⠘⠿⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣀⠙⠳⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣶⣤⣤⠀⠀⠀⠀⠀⠀⠀⢠⠛⠛⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠰⣦⣄⠈⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠺⠿⠿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠟⠁⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣀⣀⣀⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠻⠿⠿⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⣻⣿⣿⣔⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠉⠉⠁⠀⠀⠀⠀
Step-by-step explanation:
Answer:
John is currently 6 years old.
You can find this by setting John's original age as x and Jose's original age as x + 6. Then we can set up an equation adding two to both.
John's new age = x + 2
Jose's new age = x + 8
Now we can multiply John's new age by two and set equal to Jose's age, since Jose's new age is twice as much as John's.
2(x + 2) = x + 8
2x + 4 = x + 8
x + 4 = 8
x = 4
This means John's original age is 4 and his new age is 6.
Step-by-step explanation:
CAN U PLS ANSWER WILL GIVE BRAINLIEST
Answer: 20 hrs
Step-by-step explanation:
I need to find the angle for each number spot
HELP ME ASAPPPP PLEASE HLEPPPPPO
Answer:
14800 sq yd
Step-by-step explanation:
area of a trapeziod
Find the radius of a circle with a circumference of 94.25ft
Answer: approximately 15
Step-by-step explanation:
Answer:
radius = 5.48ft
Step-by-step explanation:
The formula for the circumference of a circle is: C = πr² or pie times the radius squared.
Now that we know this, we can plug in the equation.
94.25 = πr²
÷π ÷π
30 = r²
√30 = √r²
5.48 = r
So, the radius of the circle is 5.48 ft
The top five test scores in Mr. Rhodes’s class were: 98, 92, 96, 97, and 97. What is the mean absolute deviation?
Answer:
A
Step-by-step explanation:
[tex][Inequalities][/tex]
[tex]Please[/tex] [tex]help[/tex] [tex]and[/tex] [tex]thanks.[/tex]
Answer:
1+X < 52
6 < Y- 4
Step-by-step explanation:
btw y did u report me on
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Can I find the scale factor for a point with 2 different scale factors? (one for the x-axis and one for the y-axis)
Answer:
Yes
Step-by-step explanation:
Scale factor is the ratio of the length of one side of a point/figure to a similar side in another point or figure.
The scale factor can either be less than one(1) or greater than one(1) depending on the figure/ point you begin from when finding the scale factor.
Hence you can find the scale factor for a point with 2 different scale factors
The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.
The axis of symmetry is the line x = 6.
The vertex of the graph is at (–6, –11).
The parabola has a minimum.
The parabola opens down.
The value of h, when the equation is written in vertex form, is positive.
Answer:
A D and E
Step-by-step explanation:
The statements true about the graph of the function are
a) The axis of symmetry is the line x = 6
b) The parabola opens down
c) The vertex of the graph is at (-6, -11)
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) = -3x² + 36x - 119
And , the vertex form of the function is
f ( x ) = -3 ( x - 6 )² - 11
Now , The axis of symmetry is the line x = 6. This is true because in vertex form, the equation of the axis of symmetry is given by x = h, where (h, k) is the vertex of the parabola. In this case, the vertex is (6, -11), so the axis of symmetry is x = 6.
The parabola has a minimum. This is also true because the coefficient of the x² term in the given equation is negative (-3), which means the parabola opens downward and has a minimum at the vertex.
Hence , the graph of the polynomial is solved
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Barry carefully measured all three sides of the triangle and the dimensions were as follows: 7 meters, 8 meters, 10 meters. Was it a Right Triangle? Please help!
Answer: Not a right-angled triangle
Step-by-step explanation:
Given
The sides of a triangle are [tex]7\ m, 8\ m, \text{and}\ 10\ m[/tex]
For a right-angle triangle, it must satisfy the Pythagoras theorem
[tex]a^2+b^2=c^2[/tex]
i.e. the square of the larger side must be equal to the sum of the square of the remaining two sides
Here,
[tex]\Rightarrow 7^2+8^2\ ?\ 10^2\\\Rightarrow 49+64\ ?\ 100\\\Rightarrow 113\neq 100[/tex]
Therefore, it is not a right-angle triangle