Simplify both sides of the equation(-1.3x+-7.4x)+(7)=(1.5x+-6x)+(9)
-10.5x+7=-4.5x+9
Add 4.5 to both sides
-6x+7=9
Subtract 7 from both sides
-6x=2
Divide both sides by -6
x= -1/3
Answer:
Simplify {4}^{2}42 to 1616.
-16+2\times -4\times -5-2\times {2}^{3}−16+2×−4×−5−2×23
Simplify 2\times -42×−4 to -8−8.
-16-8\times -5-2\times {2}^{3}−16−8×−5−2×23
Simplify 8\times -58×−5 to -40−40.
-16-(-40)-2\times {2}^{3}−16−(−40)−2×23
Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}xaxb=xa+b.
-16-(-40)-{2}^{4}−16−(−40)−24
Simplify {2}^{4}24 to 1616.
-16-(-40)-16−16−(−40)−16
Remove parentheses.
-16+40-16−16+40−16
Simplify -16+40−16+40 to 2424.
24-1624−16
Simplify.
8
Step-by-step explanation:
hope it helps :)
-35, 30, -25, -20 is that right?
For an inscribed quadrilateral, opposite angles add up to 180 degrees. In this case, if we are looking for the measure of angle D, we can use the fact that angles I & D add up to 180 degrees. Since angle I = 117:
117 + D = 180
D = 63 degrees
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!
