Answer:
The answer is
<h2>Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
where
m is the slope
( x1 , y1) is the point
From the question the point is (-5,-2) and the slope is - 6/5
The equation of the line is
We have the final answer as
Hope this helps you
Answer:
$654
Step-by-step explanation:
Let the amount of money Marlina's received for her salary be x.
We know that she spent 1/2 of her salary on rent and then $338 on her electric and water bill. So, after this, she will have:
Left of her salary.
Next, she spent one half of what was left. So, it will be one-half of the equation. Therefore, she will have spent:
Finally, she spent $56 for gas. So, we will subtract 56:
And we know that after all of the expenses, she will have $102 left. Therefore:
We want to know how much Marlina spent on rent. So, let's find her salary x first.
First, let's distribute the 1/2:
Combine like terms:
Evaluate:
Add 225 to both sides:
Multiply both sides by 4:
Therefore, Marlina received a total of $1308 for her salary.
We know that she spent half of her salary on rent. Therefore, the amount she spent on rent is:
And we're done!
Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70
From there
x * (2x - 4) = 70
- 4x = 70
- 4x - 70 = 0
- 2x - 35 = 0
Now we have a quadratic equation, which is a + bx + c = 0, where a
0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D = - 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are and
=
= -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
=
= 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)