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4 years ago

Solve for a if the line through the two given points has the given slope.(a,5) and (1,−5),m=−2

Mathematics

1 answer:

Luba_88 [7]4 years ago

8 0

slope (m) = (y₂ - y₁)/(x₂ - x₁)

-2/1 = (a - 1)/(5 -(-5))

-2 = (a - 1)/10

-20 = a - 1

-19 = a

Answer: a = -19

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What is the inverse function of f(x) = 25x-3?

Harrizon [31]

Answer:

The answer is

Step-by-step explanation:

$f(x) = 25x - 3$

To find the inverse of f(x) , equate f(x) to y

That's

y = f(x)

We have

$y = 25x - 3$

Next interchange the terms that's x becomes y and y becomes x

$x = 25y - 3$

<u>Next solve for y</u>

Move 3 to the other side of the equation

That's

$25y = x + 3$

<u>Divide both sides by 25</u>

$\frac{25y}{25} = \frac{x + 3}{25}$

We have the final answer as

${f}^{ - 1} (x) = \frac{x +3 }{25}$

Hope this helps you

5 0

3 years ago

-3(x - 5) = 3x + 15

Travka [436]

Answer:

false

Step-by-step explanation:

because

-3(x-5)

-3x+15

6 0

3 years ago

Simplify the expression with using scientific notation (4 times 10 8)2

kifflom [539]

The scientific notation:

$a\cdot10^n\\\\1\leq a < 10;\ n\in\mathbb{Z}$

$(4\cdot10^8)^2=4^2(10^8)^2=16\cdot10^{8\cdot2}=16\cdot10^{16}\\\\=1.6\cdot10\cdot10^{16}=1.6\cdot10^{17}$

Used:

$(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a=a^{n+1}$

Answer: (4 × 10⁸)² = 1.6 × 10¹⁷

8 0

3 years ago

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vodomira [7]

Answer:

Step-by-step explanation:

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3 years ago

Which of these figures represents a line?

Anastaziya [24]

Answer:

Figure C

Step-by-step explanation:

Figure A represents a ray because it has arrow only on one end.

Figure B is a line segment because it stops on both ends.

Figure C is a line because it has arrow on both ends.

Figure D is an angle, because it is 2 rays joined at a vertex.

6 0

3 years ago