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pantera1 [17]
3 years ago
5

Which value of a solves the equation a^-2 = 1/100

Mathematics
1 answer:
vredina [299]3 years ago
3 0

Answer:

a = 10 or a = -10

Step-by-step explanation:

a^-2 = 1/100

We know 100 = 10^2

a^-2 = 1/10^2

We know 1/b^c = b^-c

1/a^2 = 1/ 10^2

Multiply by a^2 on each side

a^2 *1/a^2 = 1/ 10^2 *a^2

1 = a^2/10^2

Multiply by 10^2 on each side

1 0^2= a^2/10^2 * 10^2

10^2 = a^2

Take the square root of each side

sqrt(10^2) = sqrt(a^2)

±10 =a

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In 15 words or fewer, describe what happens to the coordinates when
andriy [413]

Answer:  The graph becomes narrower

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: y = a(x - h)² + k   where

  • |a| represents the vertical stretch if |a| > 1, vertical shrink if |a| < 1
  • (h. k) represents the vertex

A vertical stretch means the curve gets narrower.

A vertical shrink/compression means the curve gets wider.

8 0
3 years ago
Material for a dress costs £5.50 per metre.<br> find the cost of 10cm and 70cm
Zielflug [23.3K]

Answer:

<em>The cost of 10 cm and 70 cm are  £0.55 and £3.85 respectively.</em>

Step-by-step explanation:

Material for a dress costs £5.50 per meter.

We know that,  <u>1 meter = 100 cm</u>.

Suppose, the cost of 10 cm material is x and the cost of 70 cm material is y

Now, <u>according to the ratio of "cost" to the "length of material"</u> , we will get.......

\frac{x}{10} =\frac{5.50}{100}\\ \\ 100x=10*5.50=55\\ \\ x=\frac{55}{100}=0.55

and

\frac{y}{70} =\frac{5.50}{100}\\ \\ 100y=70*5.50=385\\ \\ x=\frac{385}{100}=3.85

So, the cost of 10 cm material is £0.55 and the cost of 70 cm material is £3.85

5 0
3 years ago
Which addition does the model below represent<br>+++++<br>- - -<br>​
stiks02 [169]

Answer:

+2

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
Solve the following equations with any method. Justify your reasoning. 1. (5x-8)=(8x-17) 2.(3x+5)+(4x-7)=180
3241004551 [841]
1. (5x-8)=(8x-17)
5x-8x=-17+8
-3x=-9
x=3

2. (3x+5) + (4x-7) =180
3x+5+4x-7=180
3x+4x=180-5+7
7x=182
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8 0
4 years ago
The picture shows the graphs of the functions expressed by a formula of the following type: y = kx + b.
ollegr [7]

Answer:

line 1: y= 1x+ 2

line 2: y= -1x-0.5

(usually 1 is omitted but I added for clarity)

Step-by-step explanation:

slope (x)= yfinal-yintial/xfinal-xinitial

b= where line intersects y axis

line 1:  (-1,0), (0.5,1.5)

(1.5-0)/(0.5-(-1))

(1.5)/(1.5)

slope= 1x

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line 2: (-0.5,0), (0.5,-1)

(-1-0)/(0.5-(-0.5))

(-1)/(1)

slope= -1x

y=-x-0.5

7 0
3 years ago
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