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3 years ago

Write an equation perpendicular to y = 3/4x that passes through the point(3,-3)

Mathematics

1 answer:

ryzh [129]3 years ago

5 0

Step-by-step explanation:

the slope perpendicular to y= ¾x is

-1 ÷ ¾ = -4/3

so the equation :

y-(-3)= -4/3(x-3)

y+3= -4/3x +4

y = -4/3x +4-3

y = -4/3x + 1

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Re-write the equation without the h component.

levacccp [35]

Answer:

$f(x) = 2[\frac{3^x}{9}] + 2$

$f(x) = 8(4)^x$

Step-by-step explanation:

Given

$f(x) = 2(3)^{x-2} + 2$

$f(x) = \frac{1}{2}(4)^{x+2}$

Required

Remove the h component

In a function, the h component is highlighted as:

$f(x) = a^{x+h}$

So, we have:

$f(x) = 2(3)^{x-2} + 2$

Split the exponents using the following law of indices:

$a^m/a^n = a^{m-n}$

$f(x) = 2*\frac{3^x}{3^2} + 2$

$f(x) = 2*\frac{3^x}{9} + 2$

$f(x) = 2[\frac{3^x}{9}] + 2$

<em>The h component has been removed</em>

$f(x) = \frac{1}{2}(4)^{x+2}$

Split the exponent using the following law of indices

$a^{m+n} =a^m * a^n$

So, we have:

$f(x) = \frac{1}{2}(4)^x * 4^2$

Express 4^2 as 16

$f(x) = \frac{1}{2}(4)^x * 16$

Divide 16 by 2

$f(x) = 8(4)^x$

3 0

2 years ago

Identify the slope and y-intercept. y=−12x+7

Tatiana [17]

the slope is -12 because y=mx+b and m= slope

7 0

3 years ago

Read 2 more answers

What does 4+9+(16 divide 4-8-3) x 5 equal?

stellarik [79]

Answer:

-22

Step-by-step explanation:

4 + 9 + (16 ÷ 4 - 8 - 3) × 5

= 13 + (4 - 8 - 3) × 5

= 13 - 7 × 5

= 13 - 35

= -22

7 0

3 years ago

The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term

11Alexandr11 [23.1K]

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1 Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

8 0

3 years ago

24x25x3.3 = 114 (Give answer correct to 1 place of decimal).

antoniya [11.8K]

Answer:

the correct answer is 1980

Step-by-step explanation:

just know

7 0

3 years ago