Y = 2x - 5
3x + 8y + 32 = 56
3x + 8(2x - 5) + 32 = 56
3x + 8(2x) - 8(5) + 32 = 56
3x + 16x - 40 + 32 = 56
19x - 8 = 56
<u> + 8 + 8</u>
<u>19x</u> = <u>64</u>
19 19
x = 3.4
y = 2(3.4) - 5
y = 6.8 - 5
y = 1.8
(x, y) = (3.4, 1.8)
Answer:
d= +3
Step-by-step explanation:
1st term = -19
2nd term = -16
d = 2nd - 1st
d= -16-(-19)
d = +3
Answer:
B. 2 [0, 2]
Step-by-step explanation:
Plug the coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:
20 = 6[3] + b
18
2 = b

__________________________________________________________
14 = 6[2] + b
12
2 = b

** You see? I told you that it did not matter which ordered pair you choose because you will always get the exact same result.
I am joyous to assist you anytime.
Answer:

Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:

In which m is the slope and b is the y-intercept(value of y when x = 0).
If two lines are perpendicular, the multiplication of their slopes is -1.
Contains (0, 2)
This means that
. So

Finding the slope:
Perpendicular to y = 2/3x + 1 means that:



So

Answer:
Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).
Step-by-step explanation:
Distributive property:
The distributive property of multiplication is:
a*(b + c) = a*b + a*c
Precedence of operations:
First multiplication, then addition.
Multiplication of terms with the same base:
The multiplication of h*h = h², which Raul missed.
The correct simplification is given by:
![-[3h + 7h(2-h)] = -[3h + 14h - 7h^2] = -[17h - 7h^2]=7h^2 - 17h](https://tex.z-dn.net/?f=-%5B3h%20%2B%207h%282-h%29%5D%20%3D%20-%5B3h%20%2B%2014h%20-%207h%5E2%5D%20%3D%20-%5B17h%20-%207h%5E2%5D%3D7h%5E2%20-%2017h)