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2 years ago

Find the value of :

Mathematics

1 answer:

beks73 [17]2 years ago

7 0

Answer:

i) 66

ii) 536

Step-by-step explanation:

Check attachement(s) for solution.

Attachment - 1: Solution (i)
Attachment - 2: Solution (ii)

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AA3+2=AAA CC6+6=CBB (AB|C) ->S57->E73->S47->E57->S43->W26->S18->?

Paladinen [302]

The question asks:
"Mark Atilius was expecting news from his friends with whom he agreed to reveal the great secret pyramids and spent his time at a nearby inn when he caught the attention of the Egyptian sitting beside him. He was even more surprised when he talked to him.
- You're Mark Atilius, are not you? she smiled - My name is Nefertari and I have a message for you from my grandmother. You should go right away if you want to get Pharaoh's belt you've been looking for all this time.
And he passed on the parchment he had just read.

 AA3 + 2 = AAA
CC6 + 6 = CBB
(AB | C) -> S57 -> E73-> S47-> E57-> S43-> W26-> S18->? 
Task: Find out the coordinates where Mark should come. "

First, you need to solve for the position from which Mark starts.
You know:
AA3 + 2 = AAA
Since 3 + 2 = 5,
553 + 2 = 555
Therefore A = 5.

Similarly:
CC6 + 6 = CBB
Since 6+6 = 12, B = 2.
In order from the middle digit to be 2, the original one must have been 1.
Therefore B = 2 and C = 1

Hence, the starting position is: (AB, C) = (52, 1)

The following line gives you how many steps and in what direction Mark should go: S = south (negative vertical motion), N = north (positive vertical motion), E = east (positive horizontal motion), W = west (negative horizontal motion).

(52, 1)
-> S57 -> (52, -56)
-> E73 -> (125, -56)
-> S47 -> (125, -103)
-> E57 -> (182, -103)
-> S43 -> (182, -146)
-> W26 -> (156, -146)
-> S18 -> (156, -164)

Hence, the coordinates that Mark should reach are (156, -164)

5 0

3 years ago

What are the slope between (-5,-2) and (8,13)

Cerrena [4.2K]

Answer:

The slope:

$m = \frac{15}{13}$

Step-by-step explanation:

-To determine the slope of the following points shown, you need this formula:

$m = \frac{y_{2} - y{1}}{x_{2} - x_{1}}$

( $m$ represents the slope, $(x_{1}, y_{1})$ represents the first coordinate and $(x_{2},y_{2})$ represents the second coordinate)

-Apply the following points to the formula:

$m = \frac{13 + 2}{8 + 5}$

Then, solve:

$m = \frac{13 + 2}{8 + 5}$

$m = \frac{15}{13}$

So, the slope is $\frac{15}{13}$ .

8 0

3 years ago

SOMEONE PLZ HELP ME!!!! I WILL GIVE BRAINLIEST!!!

MAXImum [283]

Answer:

Step-by-step explanation:

Let the quadratic equation of the function by the points in the given equation is,

f(x) = ax² + bx + c

If the points lying on the graph are (-3, -10), (-4, -8) and (0, 8),

For (0, 8),

f(0) = a(0)² + b(0) + c

8 = c

For a point (-3, -10),

f(-3) = a(-3)² + b(-3) + 8

-10 = 9a - 3b + 8

9a - 3b = -18

3a - b = -6 --------(1)

For (-4, -8),

f(-4) = a(-4)² + b(-4) + 8

-8 = 16a - 4b + 8

-16 = 16a - 4b

4a - b = -4 ------(2)

Subtract equation (1) from equation (2)

(4a - b) - (3a - b) = -4 + 6

a = 2

From equation (1),

6 - b = -6

b = 12

Function will be,

f(x) = 2x² + 12x + 8

= 2(x² + 6x) + 8

= 2(x² + 6x + 9 - 9) + 8

= 2(x² + 6x + 9) - 18 + 8

= 2(x + 3)² - 10

By comparing this function with the vertex form of the function,

y = a(x - h)² + k

where (h, k) is the vertex.

Vertex of the function 'f' will be (-3, -10)

And axis of symmetry will be,

x = -3

From the given graph, axis of the symmetry of the function 'g' is; x = -3

Therefore, both the functions will have the same axis of symmetry.

y-intercept of the function 'f' → y = 8 Or (0, 8)

y-intercept of the function 'g' → y = -2 Or (0, -2)

Therefore, y-intercept of 'f' is greater than 'g'

Average rate of change of function 'f' = $\frac{f(b)-f(a)}{b-a}$ in the interval [a, b]

= $\frac{f(-3)-f(-6)}{-3+6}$

= $\frac{-10-8}{3}$

= -6

Average rate of change of function 'g' = $\frac{g(b)-g(a)}{b-a}$

= $\frac{g(-3)-g(-6)}{-3+6}$

= $\frac{7+2}{-3+6}$

= 3

Therefore, Average rate of change of function 'f' is less than 'g'.

6 0

3 years ago

Solve. 4×[52×(3×15)+32]-5=

worty [1.4K]

Answer: 9483

Step by step

= 4(52)(45)+32)−5

= 4(2340+32)−5

= (4)(2372)−5

= 9488–5

= 9483

7 0

3 years ago

Rename the number. use the place value chart to help

Blizzard [7]

The answer is 580,000

4 0

3 years ago

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