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3 years ago

What is the equation in point slope form of the line that passes through the point ( 2 , -4 ) and has a slope of 4?

Mathematics

2 answers:

lana66690 [7]3 years ago

3 0

Answer:

y+4=4(x-2)

Step-by-step explanation:

point slope form is $y-y_{1} =m(x-x_{1} )$ , where m=slope

Plug it in

y-(-4) = 4(x-2)

y+4=4(x-2)

erica [24]3 years ago

3 0

Y+4=4(x-2).

Point slope form is y-y1=m(x-x1)

We can insert the equation by putting our slope (4) as m. Our y1 (-4) counters the subtraction sign, so that side of the equation will be y+4. Our x1 is positive, so it can be easily inserted into the formula (x-2).

Basically; insert the terms into the point-slope formula :)!

Hope this helped

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What logarithmic function represents the data in the table? x f(x) 25 2 125 3 625 4

Ray Of Light [21]

$\bf recall\\\\
log_{{ a}}{{ b}}=y \iff {{ a}}^y={{ b}}\qquad\qquad 
{{ a}}^y={{ b}}\iff log_{{ a}}{{ b}}=y \\\\
-----------------------------\\\\
thus\qquad 
\begin{array}{cc|llll}
x&y&5^y=x\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
25&2&5^2=25\\
125&3&5^3=125\\
625&4&5^4=625\\
\end{array}
\\\\\\
\textit{so hmmm what would that be in log notation? }\ 5^y=x \iff \boxed{?}$

6 0

3 years ago

Read 2 more answers

A block of ice has a square top and bottom and rectangular sides. At a certain point in

Lilit [14]

Answer:

$\frac{dV}{dt} = 360 \ cm^3/h$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Geometry

Volume of a Rectangular Prism: V = lwh

Calculus

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h$

Step 2: Differentiate

Rewrite [VRP]: $V = l^2h$
Differentiate [Basic Power Rule]: $\frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}$

Step 3: Solve for Rate

Substitute: $\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)$
Multiply: $\frac{dV}{dt} = 360 \ cm^3/h$

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0

3 years ago

)Of the people in the theater, 5% have seen the movie before. If there are 8 people who have seen the movie before, how many peo

kakasveta [241]

Answer: 160

Step-by-step explanation: 5% of x = 8

In other words, x * 0.05 = 8. To find what x is, we need to work backwards.

x * 0.05 = 8

x = 8/0.05

x = 160

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Arada [10]

Answer:

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6 0

4 years ago