Answer:
The solution to the system of equations is y = -5 and x = -2.
Step-by-step explanation:
The question tells us to use substitution to solve the system. This means that the given value for x (in terms of y) should be substituted into the other equation. This is modeled below:
-4y - 5x = 30
-4y - 5(y+3) = 30
Next, we should use the distributive property to simplify the left side of the equation.
-4y -5y - 15 = 30
The next step is to combine like terms on the left side of the equation.
-9y - 15 = 30
Then, we can add 15 to both sides of the equation.
-9y = 45
Finally, we can divide both sides of the equation by -9.
y = -5
To find the value for x, we substitute in the value we just found for y into either of our original equations.
x = y + 3
x = -5 + 3
x = -2
Therefore, the correct answer is y = -5 and x = -2.
Hope this helps!
Answer:
1. x = 2
2. x = 6
3. x = 6
4. x = 1
Step-by-step explanation: i think thats it
Step-by-step explanation: In algebra, we use the word <em>slope</em> to describe how steep a line is and slope can be found using the ratio <em>rise/run </em>between any two points that are on that line.
The ratio <em>rise/run</em> is the equal to the rate of change
or the <em>change in y/change in x</em>.
In algebra, the rate of change or the <em>change in y/change in x</em> or
the <em>rise/run</em> is also called the slope of a line.
Answer:
20.2 units²
Step-by-step explanation:
½ × 10 × 5 × sin(54)
20.22542486
Answer:
Step 2:
Part A
f(x) = a(x-h)^2 +k
Part B
I'm not really sure about this part
Part C
f(x)=-12/25(x-25)^2+32
Step 3:
Part A
y = ax^2 + bx + c
Part B
f(x) = -12/25(x - 25)^2 + 32
Part C
a = -12/25
b = 0
c = 32
Step-by-step explanation:
Hope This Helps!
Sorry For Taking So Long!
