You always want to get y by itself and in the form y = mx + b. So first, subtract 4x from both sides to get -y = -4x +32
You also want to get rid of that negative sign. That’s easy, divide everything by negative 1 to get:
y = 4x - 32
We can see the slope is just 4 and the y intercept is -32. The y-intercept is when x equals zero, you’ll get -32 if you do so. The x-intercept is now when y equals zero. Now solve for x. You get 4x = 32, divide by 4 to get 8
a.) 8
b.) -32
c.) 4
Yintercepts are where x=0
set to zero to solve
0^2+4y^2=16
4y^2=16
divide 4
y^2=4
sqrt both sides
y=+/-2
xintercept is where y=0
x^2+4(0)^2=16
x^2+0=16
x^2=16
sdqrtboth sides
x=+/-4
yintercepts are (0,2) and (0,-2)
xintercepts are (4,0) and (-4,0)
Answer:
Expression: 8 + m(1.5) + g(3)
Result: 32
Step-by-step explanation:
Let m represent the number of movies and g represent the number of games Ivan rent, then total amount he spent is
8 + m(1.5) + g(3)
Since he rented 6 movies and 5 games
→ 8 + 6(1.5) + 5(3)
→ 8 + 9 + 15
→ 32
Step-by-step explanation:
Multiply 2/3 by (x-3) to get 2/3x -3.
Then subtract -1 on the y side to the right side compair like terms.
The horizontal distance from A to the point = 3/10 * 14 = 4.2, so the c coordinate of the point is -3+ 4.2
= 1.2.
Vertical distance = 3/10 * 12 = 3.6
So the y coordinate = -5+ 3.6
= -1.4.
Answer is (1.2, -1.4)