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2 years ago

Help me out please?.

Mathematics

1 answer:

frez [133]2 years ago

7 0

Answer: Rotation, Translation and Reflection

Explanation
Rotation, translation and reflection moves the shape, resulting in a congruent shape but in a different position. Dilation changes the length/width of the shape. The shape can be similar, but not congruent.

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What is the scale factor?

fiasKO [112]

The scale factor is 5/3

9(5/3) = 15

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2 years ago

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Please help! I will give 50 points and brainliest.

QveST [7]

Answer:

Step-by-step explanation:

f * g = (x^2 + 3x - 4) (x+4)

open bracket

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

x³ +3x²-4x+x²+12x-16

x³+3x²+x²-4x+12x-16

x³+4x²+8x-16 (domain is all real numbers.

f/g = (x^2 + 3x - 4)/(x+4)

factorising (x^2 + 3x - 4)

x²+4x-x_4

x(x+4) -1 (x+4)

(x+4)(x-1)

f/g = (x^2 + 3x - 4)/(x+4) =(x+4)(x-1)/(x+4) = (x-1)

Before factorisation, this was a rational function so the domain is all real numbers excluding any value that would make the denominator equal zero.

Hence I got x - 1, and x cannot equal -4

So the domain is just all real numbers without -4

8 0

2 years ago

What can you say about the relationship between M and P? Which letter is the correct answer?

Dimas [21]

Answer:

Choice C is correct

Step-by-step explanation:

The first step is to re-write the equations in exponential form.

The first equation can be written as;

$\frac{M}{N}=10^{4}$ since the base is 10 and 4 the exponent.

The second equation can be written as;

$\frac{P}{N}=10^{5}$

The second step is to make N the subject of the formula in both equations.

Solving for N from this equation $\frac{M}{N}=10^{4}$ , yields;

$N=\frac{M}{10^{4}}$

Solving for N from the second equation $\frac{P}{N}=10^{5}$ , yields;

$N=\frac{P}{10^{5}}$

Therefore;

$\frac{M}{10^{4}}=\frac{P}{10^{5} }\\\\P=10M$

6 0

2 years ago

The ratio of boys to girls in the Science Club is 3:5. If there are 60 girls, how many boys are there?

maks197457 [2]

25 boys.

15/3 = 5

5*5=25

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2 years ago

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A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$

So, h = 40.2 inches

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2 years ago