2 years ago

Simplify x + 15 - 4. A.x + 11 B.x + 19 C. 11x

Mathematics

1 answer:

irakobra [83]2 years ago

7 0

The answer is A) x +11.

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An equation of a line through (-1, 4) which is perpendicular to the line y = 4x + 1 has slope and y-intercept

Assoli18 [71]

Answer:

The answer to your question is y = -1/4x + 15/4

Step-by-step explanation:

Data

P (-1, 4)

⊥ y = 4x + 1

Process

1.- Find the slope of the line given

y = 4x + 1

slope = 4

2.- Find the slope of the new line

slope 2 = -1/4

3.- Find the equation of the line

y - y1 = m(x - x1)

Substitution

y - 4 = -1/4(x + 1)

Simplification

y - 4 = -1/4x - 1/4

y = -1/4x - 1/4 + 4

y = -1/4x - 1/4 + 16/4

Result

y = -1/4x + 15/4

7 0

2 years ago

If As income is 20% more than Bs income, how much percent is Bs income less than As income

vitfil [10]

$As\ is\ 120\%\ Bs\\\\120\%=1.2\to\frac{As}{Bs}=1.2\\\\\frac{As}{Bs}=\frac{12}{10}\to\frac{Bs}{As}=\frac{10}{12}\to\frac{Bs}{As}=\frac{5}{6}\\\\\frac{5}{6}\cdot100\%=\frac{500}{6}\%=83\frac{1}{3}\%\\\\100\%-83\frac{1}{3}\%=16\frac{2}{3}\%\\\\Answer:Bs\ income\ is\ 16\frac{2}{3}\%\ less\ than\ As\ income.$