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Alekssandra [29.7K]
3 years ago
5

Which is the value of this expression when a=5 and k=-2? [3^2a^-2]^k [3a^-1]

Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

Answer:243 /3125

(Decimal: 0.07776)

Step-by-step explanation:((32)(5−2))2(3(5−1))

((32)(5−2))2(3(5−1))

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Find the equation of the line with Slope = 5 and passing through (-7,-34). Write your equation in the form y=mx+b .
oksano4ka [1.4K]

(\stackrel{x_1}{-7}~,~\stackrel{y_1}{-34})\hspace{10em} \stackrel{slope}{m} ~=~ 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-34)}=\stackrel{m}{ 5}(x-\stackrel{x_1}{(-7)}) \implies y +34= 5 (x +7) \\\\\\ y+34=5x+35\implies {\Large \begin{array}{llll} y=5x+1 \end{array}}

3 0
1 year ago
Where a is determined by the conditions x2 + y2 ≤ 1 and x + y ≥ 1?
strojnjashka [21]
See, pls, the attached picture, the area determined by the conditions marked by yellow lines.

3 0
4 years ago
in an examination, Adenike obtained 19marks more than musa.if adenike had obtained one and half times her own mark,she would hav
fomenos

Answer: Adenike scored 64 marks, while Musa scored 45 marks

Step-by-step explanation: We shall start by assigning letters to each unknown variable. Let Adenike’s mark be d while Musa’s mark shall be m.

First of all, if Adenike obtained 19 marks more than Musa, then if Musa scored m, Adenike would score 19 + m (or d = 19 + m). Also if Adenike has obtained one and half her own mark (which would be 1 1/2d or 3d/2), it would have been equal to 6 times more than twice Musa’s mark (or 6 + 2m). This can be expressed as

3d/2 = 6 + 2m. So we now have a pair of simultaneous equations;

d = 19 + m ———(1)

3d/2 = 6 + 2m ———(2)

Substitute for the value of d into equation (2), if d = 19 + m

(3{19 + m})/2 = 6 + 2m

By cross multiplication we now have

3(19 + m) = 2(6 + 2m)

57 + 3m = 12 + 4m

We collect like terms and we have

57 - 12 = 4m - 3m

45 = m

We now substitute for the value of m into equation (1)

d = 19 + m

d = 19 + 45

d = 64

So Adenike scored 64 marks while Musa scored 45 marks

6 0
4 years ago
What 2 decimals make 5.036
salantis [7]
2 is the tens position meaning 2 tens 
8 0
3 years ago
Read 2 more answers
The length of rectangular a school hall is 4 times the width and the perimeter is 55m. what is the: width: length:
tangare [24]

If the length of rectangular school hall is 4 times the width and the perimeter be 55m, then the length is 22m and the width of the school hall be 5.5m.

Given that the length of  rectangular school hall is 4 times the width.

We are required to find the length and breadth of the rectangle which has the length be 4 times the width.

Perimeter of rectangle is the sum of all the length and breadth of that rectangles.

Perimeter of rectangle is given as 55m

Perimeter=2(L+B)

let the width of rectangle be x.

Length of that rectangle be 4x.

According to question,

2(x+4x)=55

2*5x=55

10x=55

x=55/10

x=5.5 m

Width be 5.5 m.

Length of rectangle be 4*5.5=22m.

Hence if the length of rectangular school hall is 4 times the width then the length is 22m and the width of the school hall be 5.5m.

Learn more about perimeter at brainly.com/question/19819849

#SPJ4

6 0
2 years ago
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