Triangle Angle-Sum Theorem

Answers:

a = 3

b = 3

c = -6

=====================================

Explanation:

The roots are x = 1 and x = -2. This leads to the factors x-1 and x+2 respectively.

This is because something like x = 1 becomes x-1 = 0 after subtracting 1 from both sides. For x = -2, we add 2 to both sides getting x+2 = 0.

The factorization is y = a(x-1)(x+2)

Plug in (x,y) = (2,12) and solve for 'a'

y = a(x-1)(x+2)

12 = a(2-1)(2+2)

12 = a(1)(4)

12 = 4a

12/4 = a

3 = a

a = 3

So we have y = a(x-1)(x+2) update to y = 3(x-1)(x+2)

--------------------------------------

The last thing we need to do is expand everything out (use the FOIL rule then distributive rule) to get the equation into standard form

y = 3(x-1)(x+2)

y = 3(x^2+2x-1x-2)

y = 3(x^2+x-2)

y = 3x^2+3x-6

Comparing this to y = ax^2+bx+c shows that:

a = 3

b = 3

c = -6

The graph is below.

Answer:

The answers are below,...

Step-by-step explanation:

1. LN = 37

2. NM = 23

3. x = 4

4. EF = 58 / x = 16

5.

6.

7.

8.

Moreover explanation:

Okay so with 5-8 I was unable to figure out the answer,... I guess I shouldn't be answering your questions if I have to figure them out as well. lol,... I did however try (I've been working on just 5-6 for the last hour or so) so I guess brownie points for me for that,... so sorry I couldn't help completely though,... I asked my older brother how to solve them and he is going to get back to me on them (he also has a schedule to keep) I'll hopefully get back to you soon so stay tuned (or not cause hopefully someone else has already answered them) again, so sorry. and the best of luck to you! later!

Answer:

the trapiezium

Step-by-step explanation:

It has a area of 4 which is the highest

Answer:

80

Step-by-step explanation:

use formula for perimeter of rectangle but put X in place of length 50 m as breadth. so,

2(50+X)= 260

solve this and you will get X= 80

Answer:

80

Step-by-step explanation:

Perimeter area = 2(l × w)

Plug in:

2(x + 50) = 260

2x + 100 = 260

      -100    -100

---------------------

2x = 160

----    -----

2       2

x = 80

So, x will be 80

Answer:

Let the two numbers be X

The great number is X and the smaller number is 3X

X=3X

X-3X=12

-2X=12

X=12/-2

X=-6

The other number =3*6=18

2 numbers to find are a and b

We have: a - b = 12; a = 3b

=> a = 18; b = 6

Answer:

There's no chart below

Step-by-step explanation:

Answer:

6.2 coins he will have

Step-by-step explanation:

its the anwser on han i go it wrong :( the first time and 12 was the anwser!

Answer:

7

Step-by-step explanation:

the median is the middle value of the list. first off, write the list of numbers in ascending order (small to big)

3, 4, 4, 5, 7, 7, 8, 10, 10, 10

since there are 10 values, there are two middle numbers which are 7 and 7. since they are both 7, the median is 7

Answer:

Hello,

Step-by-step explanation:

all potential roots are of the form a/b where a is a divisor of 8

and b is a divisor of 6 ( in Z)

So A,D,E,F may be roots

but B and C not.

The 3rd option is correct.

The range refers to the y-values so the multiple choice answer is restricted to the 1st and 3rd options. The range of the step function is not continuous, it is only the discrete values {-3, 2, 5}.

Answer:

15

Step-by-step explanation:

For this we must find the GCF, or greatest common factor, because we cannot have multiples.

Factors of 30:

1 , 2, 3, 5, 6, 10, 15, 30

Factors of 15:

1, 3, 5, 15

GCF = 15

Each bag will have 2 Hershey bags, and 1 Blow Pop

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

.

.

.❥︎ᴀᴀɴᴋʜ ᴜᴛʜɪ ᴍᴏʜᴀʙʙᴀᴛ ɴᴇ ᴀɴɢᴅᴀɪ ʟɪ ,

.ᴅɪʟ ᴋᴀ sᴀᴜᴅᴀ ʜᴜᴀ ᴄʜᴀɴᴅɴɪ ʀᴀᴀᴛ ᴍᴇ ❣︎

.

.

Answer:

8.69 per pair

Step-by-step explanation:

Take the total cost and divide by the number of pairs

26.07 /3

8.69 per pair

Answer:

not sure what your asking.... is there a file you can submit?

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

$3.20 / kg

Step-by-step explanation:

$1.44 / pound

so, this is normed to 1 pound = 0.45 kg.

now we want to transform that to have 1 kg as the norming unit.

for this we need to multiply the top and the bottom of the ratio with the same number, so that the value of the ratio remains unchanged, but that the bottom turns into 1 kg.

so, what do we need to turn 0.45 into 1 ?

0.45 × x = 1

x = 1/0.45 = 1/1 / 45/100 = 100/45 = 20/9 = 2.22222...

since we need to multiply top and bottom with the same factor, we get

(1.44/0.45) × (2.222222/2.222222) =

(1.44 × 2.222222) / (0.45×2.222222) =

(1.44 × 2.222222) / 1kg = $3.20 / kg

the answer is number 4 or d

Answer:

$25,500

Step-by-step explanation:

Its an increase of $1,500 each year

Step-by-step explanation:

a rectangle has two pairs of equally long sides and each of the 4 angles between the sides is 90 degrees.

given that ABCDEF is a regular hexagon, it means that all its sides are equally long, and therefore also all internal angles are the same size.

that means for ACDF that the sides DC and FA are equally long.

DEF and ABC are congruent triangles, as the sides DE = BC, EF = AB, and the angle E is congruent to angle B.

based on the SAS criteria this confirms that DF is congruent to AC.

the angles ACB, CAB, EDF and EFD have to be all the same, and therefore also the angles FDC, DCA, CAF and DFA.

so, all 4 angles of the parallelogram ACDF are the same, and the sum of all these angles has to be 360 degrees, we have

360 = 4×angle

angle = 90 degree.

so, all angles are 90 degrees and we have two pairs of equally long sides : this process that ACDF us a rectangle

Answer:

.1273 mi = 627.2 feet

c = 2[tex]\pi[/tex]r

.4 = 2[tex]\pi[/tex]r

r = [tex]\frac{.4}{2\pi }[/tex]

r = [tex]\frac{.2}{\pi }[/tex]

d = [tex]\frac{.4}{\pi }[/tex]

d = .1273 mi = 627.2 feet

Step-by-step explanation:

Answer:

13 inches

Step-by-step explanation:

I have done a Little draw because I don't know how i can explain you this exuse me

Answer:

y=-2x-15

Step-by-step explanation:

first find the slope. the formula for finding slope is (y_1 - y_2)/(x_1 - x_2) (rise over run) so we plug in the values and get (-6+4)/(-5+6)= -2/1=-2 so m=-2 and we have y=-2x+b. then plug in either point for x and y and solve for b. -5= -2*-5 +b, -5= 10+b, b=-15, y=-2x-15

Answer:

y=-0.5x-8

Step-by-step explanation:

i got it right

Answer: I'll solve A) since there is a lot of work to be shown.

Step-by-step explanation:

A)

(x−1)³+3x(x−4)+2=x³

Use binomial theorem to expand  (x−1)³

x³- 3x² + 3x - 1 + 3x(x-4) + 2=x³

Use distributive property on 3x(x-4)

x³- 3x² + 3x - 1 + 3x²-12x + 2=x³

Add like terms

x³ −9x + 1 =x³

Subtract x³ from both sides.

x³ −9x +1 -x³ = 0

Add x³ and -x³

−9x+1=0

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

−9x=−1

Divide both sides by -9.

x= 1/9

Answer:

19

Step-by-step explanation:

If the number has atleast 1 digit that is 7, they say "Buzz."

7

17

27

37

47

57

67

70

71

72

73

74

75

76

77

78

79

87

97

I counted 19.

I hope this helps!

pls ❤ and give brainliest pls

Answer:

Price elasticity of demand = 1

Step-by-step explanation:

Old quantity demanded = 200

New quantity demanded = 150

Old price = 8

New price = 10

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

percentage change in quantity demanded = change in quantity demand / old demand × 100

= 50/200 × 100

= 0.25 × 100

= 25%

percentage change in price = change in price / old price × 100

= 2/8 × 100

= 0.25 × 100

= 25%

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

= 25% / 25%

= 1

Price elasticity of demand = 1

Option A

Must click thanks and mark brainliest

Sorry if i am wrong

Answer:

Kandace spent 2700 seconds in front of the mirror

Step-by-step explanation:

3/4 × 60 = 45

She spent 45 minutes on her makeup

If 60 seconds are in a minute,to find how many seconds are in 45 minutes we simply multiply 45 by 60

= 2700

Answer:

game1321.netlify.app

Step-by-step explanation:

This is a test sorry I'm trying to see if you can post links in comments

Answer:

12x^3-9x^2+4x-3

3(4x^3-1)-(9x^2+4x)

therefore option A is right

thank you, and mark it as brainliest if u find it useful

Answer:

41/3, 14, square root of 200

Step-by-step explanation:

41/3 = 13.66

14 is just 14

and square root of 200 is 14.14

Answer:

She bought 6 first class tickets and 1 coach ticket

Step-by-step explanation:

1060(6)= 6360 and 6960-6360=300 and 300 is the price for a coach ticket.

Answer:

3/5 and 50/100

Step-by-step explanation:

changing the ratios into fractions are an easy way to check,

8/10 = 0.8

16/20 = 0.8

3/5 = 0.6

50/100 = 0.5

13/15 = ~0.8666