Given: AC = 4DC, BC = 4EC
Prove: A = D​

[tex]\text{Given that,}\\\\f(x) = 3x^2 -5x +4\\\\\\ \dfrac{f(a+h)-f(a)}{h}\\\\=\dfrac{3(a+h)^2 -5(a+h) +4 - (3a^2 -5a +4)}{h}\\\\=\dfrac{3(a^2 +2ah +h^2) -5a-5h+4-3a^2+5a-4}h\\\\=\dfrac{3a^2 +6ah +3h^2 -5a-5h-3a^2+5a}h\\\\=\dfrac{3h^2 +6ah -5h}h\\\\=\dfrac{h(3h+6a-5)}h\\\\=3h+6a-5[/tex]

Answer:

you can plug the point into the inequality and see if it works

Step-by-step explanation:

If I have xy>4 and I want to test the point 4,6 I would take xy which would be 4 and 6 because those are the numbers from the coordinates. when writing coordinates x is the first number and y is the second. 4 times 6 because x times y which is xy is equal to 24 now we have 24>4 and this is true

the answer for 135 times 12 is 1620

Answer:

1620

Step-by-step explanation:

u can time 12 by 135 or divide them

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Recall:

Ryan's Savings Plan Function:

s = 15m + 50

Thus, the starting value (starting balance) modelled by this function is $50

The slope/rate of change is $15 per month

Taylor's Savings Plan:

Given the table, the starting value will be the amount saved (initial value) at 0 number of months.

Using (0, 25) and (1, 45) find the rate of change:

In summary:

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

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Answer:I think it would be the grocery store is at (-4, -8) but I not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)

Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.

Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.

Step-by-step explanation:

6y>0-15 collect like term

6y=-15 calculate the difference

y=-15/6 convert to lowest form

y=-5/2

i hop it helps you ❤

Answer:

bbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

Answer:          n≥12

hope this helps

No, Poppy did not answer the problem correctly.

The mistake I see is that she did not include the exponent on the first 3. She also forgot to keep the -8.

The correct answer would be -7. (see attachment)

Have a nice day :)

Answer:

D

Step-by-step explanation:

Answer: The answer is 120(-3)= -360

Step-by-step explanation:

A. P. E. X.

Answer:

$57.45

Step-by-step explanation:

102.45=2x-12.45

2x= 102.45+12.45

2x=114.90

x= 114.90/2

x=$57.45

Answer:

6.2

Step-by-step explanation:

Answer:

A. $4.25 per 1 kg of spice

B. 60 : 40 = 3 : 2

Step-by-step explanation:

200 g = 0.2 kg (÷100)

unit price formula: cost ÷ quantity

0.85 ÷ 0.2 = 4.25

set a proportion;

60 3

---- = ---

x 2

3÷60 = 0.05 2

2 ÷ 0.05 = 40

x = 40

hope this helps!

Answer:

Addition property of equality formula

Lesson Summary

We learned that the addition property of equality tells us that if we add the same quantity to both sides of an equation, then our equation remains the same. The formula is if a = b, then a + c = b + c.

Step-by-step explanation:

Answer:

256= 4 power 4 and 125 = 5 power 3

Step-by-step explanation:

al nth term:

numerator:

[tex] = {n}^{2} [/tex]

denominator:

[tex] = n + 1[/tex]

so nth term :

[tex] = \frac{ {n}^{2} }{n + 1} [/tex]

b). 1; 11; 27; 49

first difference: 10; 16; 22

second difference :6

formula for 1st difference:3a+b

formula for 2nd difference:2a

Therefore:

2a=6

a=3

3a+b=10

sub in a

3(3)+b=10

9+b=10

b=1

sub into quadratic formula

[tex] {an}^{2} + bn + c[/tex]

[tex](3) {(1)}^{2} + (1)(1) + c = 1[/tex]

[tex]3(1) + 1 + c = 1[/tex]

[tex]3 + 1 + c = 1[/tex]

[tex]4 + c = 1[/tex]

[tex]c = - 3[/tex]

So Tn:

[tex]3 {n }^{2} + 1n - 3[/tex]

Step-by-step explanation:

a)

it is clearly a sequence of the square numbers over the numbers+1.

1/2 = 1²/(1+1)

4/3 = 2²/(2+1)

9/4 = 3²/(3+1)

16/5 = 4²/(4+1)

so, the nth term would be

n²/(n+1)

b)

an² + bn + c creates the sequence with increasing n (n = 1, 2, 3, 4, ...)

since for sequence the first starting value is often not generated by the general expression, we have to focus on n = 2, n = 3 and n = 4, and with that we get 3 equations with 3 variables (a, b, c) that we can solve :

n = 2

a×2² + b×2 + c = 11 = 4a + 2b + c

n = 3

a×3² + b×3 + c = 27 = 9a + 3b + c

n = 4

a×4² + b×4 + c = 49 = 16a + 4b + c

the first equation gives us

c = 11 - 4a - 2b

when we use this in the second equation, we get

27 = 9a + 3b + 11 - 4a - 2b = 5a + b + 11

b = 16 - 5a

now we use both of that in the third equation :

49 = 16a +4(16 - 5a) + 11 - 4a - 2(16 - 5a) =

= 16a + 64 - 20a + 11 - 4a - 32 + 10a =

= 2a + 43

2a = 6

a = 3

b = 16 - 5a = 16 - 5×3 = 16 - 15 = 1

c = 11 - 4a - 2b = 11 - 4×3 - 2×1 = 11 - 12 - 2 = -3

Answer:

30-60-90 is a special right triangle

if the side opposite to the 30 degree angle = x,

then the side opposite to the 90 degree angle = 2x

and the side opposite to the 60 degree angle = x*sqr3

2x=14

x=7

side BC is opposite to the 30 degree angle, so it is 7 cm

side AB is opposite to the 60 degree angle, so it is 7sqr3 cm

Answer:

clearer pic?

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

because

60:6=10

every team has the same number of players

(it was an easy proble to solve thats why im typing , so i the app can confirm it as an answer)

bdbdbdndnfkkfkflfllflfkchchdhbdbenrnrnrnnrndndndndnddhjdjs

Answer:

10

Step-by-step explanation:

no. of teams=6

no. of players=60

no. of players in each team=60/6=10

Answer:

D

Step-by-step explanation:

Answer:

The momentum for the truck and cargo is 150000 kg·km/h

Step-by-step explanation:

p = mv

p = (2000 kg + 1000 kg)(50 km/h)

p = (3000 kg)(50 km/h)

p = 150000 kg·km/h

Answer:

140 degrees

Step-by-step explanation:

To find the value of an internal angle within this polygon, we can just multiply the number of triangles by 180 ° , then divide by the number of internal angles, which is nine. Excellent! So the interior angle of a 9 -sided polygon is 140 ° .

Answer:

17

18.4

Step-by-step explanation:

c² = a² + b²

EB² = 15² + 8²

EB = 17 cm

c² = a² + b²

HB² = HE² + EB²

HB² = 7² + 17²

HB² = 338

HB = 18.4 cm

Answer:

x = 3, 0

y = 0, -4

Step-by-step explanation:

Answer:

{−9,−5,2,6,10Step-by-step explanation:

Alma was definitely correct to say that the tickets are $14 each.

The total amount in dollars the class have for tickets to the science museum

is $140.

The teacher writes as follows:

Alma says the tickets are $14 each.

Mohammed says that 14 students are going for the trip

The teacher divided 140 by 10. This means the number of student in the class is 10 not 14 as Mohammed enunciated.

The teacher divided the total amount available for the ticket($140) by the number of student in the class(10). Then the quotient ($14) is the amount in dollars which each student will pay for the ticket to the science museum.

Therefore, Alma was definitely correct.

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Answer: x<3 or x>4

Step-by-step explanation: 2|x-7/2|+3+-3>4+-3         2|x-7/2|/2>1/2                                                                x+|−7/2|+7/2>1/2+7/2                                                 x>4                                                                             or                                                                              x+|−7/2|+7/2<−1/2+7/2                                                 x<3

Answer:

Step-by-step explanation:

ok ill help but can soke one help me too

Answer: Undefined: Needs more data

Step-by-step explanation: What is the timespan over which they have retired? Is this a direct relationship?

Answer:

[tex][tex]\purple{\rule{45pt}{7pt}}\purple{\rule{45pt}{999999pt}}[tex][/tex]

Answer:

40cm

Step-by-step explanation:

Volume is LxWxH. The length is 2cm, the width is 5cm, and the height is 4cm, you can find these values by counting each block as a cm. Then you multiply all the values, (2x4x5) and you get 40.

Answer:

z=2.61

Step-by-step explanation: