Answer:
To find the x intercept, let y=0. To find the y-intercept, let x=0. Hence, the x-intercept of the given equation is -2 and the y-intercept is -5/2.
Step-by-step explanation:
Let - 5x - 4y = 10 be the given equation.
Simplify the whole equation by dividing both sides by -1 :
To get the x-intercept, simply let y=0 :
- 5x + 4(0) = -10 (substitution)
- 5x = -10 (evaluate)
- x = -2 (simplify by dividing both sides of the equation by 5)
To get the y-intercept, simply let x=0 :
- 5(0) +4y = -10 (substitution)
- 4y = -10 (evaluate)
- y = -10/4 (simplify by dividing both sides of the equation by 4)
- y = -5/2 (simplify the fraction)
Answer:
y = - 3x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (0, 4)
m = 
= 
= 
= - 3
The line crosses the y- axis at (0, 4) ⇒ c = 4
y = - 3x + 4 ← equation of line
1. To find how much cardboard he needs to paint you need to find the area of the cardboard which is length times width. So in this case, it would be 16 1/3 feet times 6 feet. Or 49/3 times 6/1. This gives you 294/3 or 98 feet.
2. To find this you would divide the total area by how much area each bottle covers to find how many bottles you need. 98 divided by 30 is 98/30 which reduces to 49/15 or 3 4/15. Since you can’t have 4/15 of a bottle, you’d round up to 5 bottles of paint.
Answer: D) (x + 3)² + (y + 5)² = 16
<u>Step-by-step explanation:</u>
The equation of a circle is: (x - h)² + (y - k)² = r²
where (h, k) = center and r = radius
Given: (h, k) = (-3, -5) r = 4
Equation: (x - (-3))² + (y - (-5))² = 4²
(x + 3)² + (y + 5)² = 16
Answer:
In the explanation
Step-by-step explanation:
Going to start with the sum identities
sin(x+y)=sin(x)cos(y)+sin(y)cos(x)
cos(x+y)=cos(x)cos(y)-sin(x)sin(y)
sin(x)cos(x+y)=sin(x)cos(x)cos(y)-sin(x)sin(x)sin(y)
cos(x)sin(x+y)=cos(x)sin(x)cos(y)+cos(x)sin(y)cos(x)
Now we are going to take the line there and subtract the line before it from it.
I do also notice that column 1 have cos(y)cos(x)sin(x) in common while column 2 has sin(y) in common.
cos(x)sin(x+y)-sin(x)cos(x+y)
=0+sin(y)[cos^2(x)+sin^2(x)]
=sin(y)(1)
=sin(y)
