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2 years ago

What is the equation of the line that is perpendicular to line a and passes through (2,7).

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

7 0

Answer:

y = x + 5

Step-by-step explanation:

Slope = - 1

Slope of the perpendicular line = 1

Point (2,7)

(b) y-intercept= 7 - (1)(2)

= 5

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11.What is the solution of the inequality below?<br> |2x + 7| > 9

Gennadij [26K]

Answer: X=8,-1

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3 years ago

1. $17.04 for 4 packages

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3 years ago

After 9 new members joined the ski club, there were 38 members. How many members had been in the club previously?

dezoksy [38]

Answer:

Previously, there were 29 members in the ski club

Step-by-step explanation:

Subtract 9 from 38

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3 years ago

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PLEASE HELP!!! I REALLY NEED SOMEONE TO ANSWER THIS I HAVE ATTACHED A PICTURE

earnstyle [38]

Answer:

2.3 hours, or 2 hours & 18 minutes

Step-by-step explanation:

we are trying to find h when d is 56.68, so I replaced d with 56.68

$56.68=24.6h+0.1\\$

subtract 0.1 from both sides

$56.58=24.6h$

divide both sides by 24.6

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3 years ago

Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.

hoa [83]

Answer:

Hence, the average rate of change is:

$\dfrac{97}{12}$

Step-by-step explanation:

We are asked to calculate the average value of the function:

$f(x)=x^2-\dfrac{1}{x}-4$ in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6 is given as:

$\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}$

Now,

$f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}$

$f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}$

Hence, the average rate of change is:

$\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}$

Hence, the average rate of change is:

$\dfrac{97}{12}$

8 0

3 years ago

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