Write an equation for the line in the given form.

Mathematics

1 answer:

nexus9112 [7]3 years ago

3 0

Answer:

5x +y = 34

Step-by-step explanation:

Since a point and slope are given, it is convenient to start with point-slope form, then rearrange the equation to put it into standard form.

For slope m through point (h, k), the point-slope form of the equation of a line is usually written ...

y -k = m(x -h)

For m=-5 and (h, k) = (6, 4), the equation is ...

y -4 = -5(x -6)

y -4 = -5x +30 . . . . . eliminate parentheses

Standard form looks like ...

ax + by = c

where a > 0 and GCD(a, b, c) = 1. Here's how we can get there.

5x +y -4 = 30 . . . . . . add 5x

5x +y = 34 . . . . . . . . . add 4 to get standard form.

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What is the answer for 4y^2=81

Elena L [17]

Answer:
either y = 4.5
or y = -4.5

Explanation:
To get the solution, we will need to isolate the y on one side of the equation.
This can be done as follows:
4y² = 81

 $\frac{4y^2}{4} = \frac{81}{4}$

y² = 20.25

y = +/- √(20.25)
either y = +√(20.25) = 4.5
or y = -√(20.25) = -4.5

Since there are no restrictions on the value of y, therefore, both answers would be accepted

Hope this helps :)

3 0

3 years ago

Read 2 more answers

A sequence is defined recursively by the following rules: f(1)=3f(n+1)=2⋅f(n)−1 Which of the following statements is true about

Radda [10]

Answer:

f(2)=5

f(5)=33

Step-by-step explanation:

The given formula, that recursively defines the sequence is

$f(1) = 3 \\ f(n + 1) = 2f(n) - 1$