To solve this problem, I am going to use the substitution method. To do this, we use our first equation given (s=4r-1) and substitute this given value for s (4r-1) and substitute it into the second equation so that we have an equation with only one variable. This is modeled below:
s = 4r - 1
6r - 5s = -23
6r - 5(4r-1) = -23
Now, we can solve this equation as we would any other equation, using the order of operations outlined by PEMDAS. To begin, we will distribute the factor of -5 through the parentheses on the left side of the equation.
6r - 20r + 5 = -23
Next, we should combine like terms on the left side of the equation:
-14r + 5 = -23
Next, we should subtract 5 from both sides of the equation to get the variable term alone on the the left side of the equation. We get:
-14r = -28
Finally, we should divide both sides by -14 to get the variable r alone on the left side of the equation.
r = 2
Now that we know that value for the variable r, we can substitute this value into one of our original equations (either one will work, but I am choosing to use the first one):
s = 4r - 1
s = 4(2) - 1
Now, we can find the value for s by using multiplication and then subtraction to simplify the right side of the equation.
s = 8-1
s = 7
Therefore, your answer is s = 7 and r = 2.
Hope this helps!
The second option! just did that not too long ago
Answer:
Draw open circle AT 11
Shade all numbers to the right of 11
Step-by-step explanation:
Have a great day!
Answer:
a = 16.13 ft²
Step-by-step explanation:
Triangle
a = (1/2)bh
a = (1/2)6 * 4
a = 12
Semicircle
a = (1/2)πr²
a = (1/2)(3.14)(3²)
a = 14.13
Combined figure
a = 12 + 14.13
a = 16.13 ft²
Answer:
Distance is equal to 10.
Step-by-step explanation:
Use the distance formula: d=√((x_2-x_1)²+(y_2-y_1)²)
d = √(9-3)^2 + (1-9)^2
d = √(6)^2 + (-8)^2
d = √36 + 64
d = √100
d = √10
Hope this helps :)
