Answer:
Step-by-step explanation:
5(x-3y)+2(4x+y)-(x+y)
5x-15y+8x+2y-x-y
5x+8x-x-15y+2y-y
13x-x-13y-y
12x-12y
Answer: 25 + 3n
Step-by-step explanation:
Hi, the answer is lacking the last part:
<em>Write an expression for the amount of money he makes this week.
</em>
So, to answer this we have to write an expression:
The fixed amount that he earns per week (25) plus the product of the amount he earns per subscription (3) and the number of subscriptions sold (n) , must be equal to his weekly earnings.
Mathematically speaking:
25 + 3n
Feel free to ask for more if needed or if you did not understand something.
The Question is incomplete the Complete Question is
Look at the triangle: A right angle triangle is shown with hypotenuse equal to 10 centimeters. An acute angle of the triangle is labeled as x degrees. The side adjacent to the acute angle has length 6 centimeters and the side opposite to the acute angle has length 8 centimeters. What is the value of tan x°?
Answer:
Therefore the value of tan x is
Step-by-step explanation:
Given:
hypotenuse = 10 cm'
side adjacent to the acute angle 'x' = 6 cm.
side opposite to the acute angle 'x' = 8 cm.
To Find:
tan x = ?
Solution:
In Right Angle Triangle , Tan Identity we have
Substituting the values we get
Therefore the value of tan x is
Answer:
4y = 6x + 40
Step-by-step explanation:
The general equation of a straight line is y = mx + b
m is the slope and b is the y-intercept
let us write both equations in this form;
we have this as;
6y = -4x + 1
y = -4x/6 + 1/6
and;
2x + 3y = 18
3y = -2x + 18
y = -2x/3 + 6
So firstly we want to find an equation that is perpendicular to the first
When two lines are perpendicular, their slopes has a product of -1
The slope of the first line is -4/6
let the slope of the line we want be m
As per they are perpendicular;
-4/6 * m = -1
-4m/6 = -1
-4m = -6
m = 6/4
So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6
we can choose 10
and we have the equation as:
y = 6x/4 + 10
multiply through by 4
4y = 6x + 40
Answer:D
Step-by-step explanation: