Answer:
y - 13 = 5(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Given y = 5x - 3 in slope- intercept form
with slope m = 5, then
m = 5 and (a, b) = (- 2, 13)
y - 13 = 5(x - (- 2)), that is
y - 13 = 5(x + 2) ← in point- slope form
4.4a-7.3 is equal to
4.4a= 7.3 divide both sides by 4.4
a= 1.66
Answer:
y = 15x+32
Step-by-step explanation:
Given
y to be the total minutes Andrew will play video games today
x is the total number of games played after school
If he wants to play an additional 15 minutes each of x games after school today, the total minutes he will use for the x games will be 15* x = (15x)minutes
We are told that he has initially spent 32minutes on video games. hence;
Total minutes Andrew used on games y = (15*x)+32
The required equation will be y = 15x+32
Answer:
Step-by-step explanation:
In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:
and
3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and
So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):
* and
and
so
** and, in standard form:
4y = -3x + 29 and
3x + 4y = 29***
* : point-slope form
** : slope-intercept form
*** : standard form
Answer:
Area of the sector is 97.30 square feet.
Step-by-step explanation:
The area of the sector is given by

Plugging the known values in this formula to find the area of the sector

Use the value of π as 3.14

Simplifying, we get

Rounded to the nearest hundredth, we get
