Answer:
Second from top...
The average rate of change is $0.07, meaning that for each minute of talk time, the monthly bill increases by $0.07.
Step-by-step explanation:
Pick any two points and calculate the slope which will represent the rate of change:
(Minutes, Cost)
(0, 9.95)
(10, 10.65)
Rate of change:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (10.65 - 9.95) / (10 - 0)
= 0.7 / 10
= 0.07
y is cost
m is rate of change
x is minute(s) use
b is fixed monthly cost regardless if any minutes is used
y = mx + b
y = .07x + 9.95
theres no options to choose from, but in order to solve any equation like that, heres a tip!!
if youre adding a negative number, all youre really doing is subtracting a number. if you're subtracting a negative, you're just adding the number!!
let me know if you have any other questions!! hope this helps you!! <3
The tangents are equal length, so
.. 8x = x^2
We presume their length is not zero, so we can divide by x to get
.. 8 = 2x
.. 4 = x
Then the length of each tangent is 8*4 = 32 units.
<span>y = slope*x + y-intercept;
</span>We can rewrite our equation in a shorter form : y = mx + b;
y = x + 2 ; m1 = 2 and b1 = 2;
y = -x + 6; m2 = -1 and b2 = 6;
<span>Set the two equations for y equal to each other:
</span>x + 2 = -x + 6 ;
<span>Solve for x. This will be the x-coordinate for the point of intersection:
</span>2x = 4;
x = 2;
<span>Use this x-coordinate and plug it into either of the original equations for the lines and solve for y. This will be the y-coordinate of the point of intersection:
</span>y = 2 + 2 ;
y = 4;
<span>The point of intersection for these two lines is (2 , 4).</span>
Answer:
B
Step-by-step explanation:
A rhombus is divided into four congruent triangles. The two given angles are complementary, meaning they add up to 90 degrees. Set up an equation:
Take out the parentheses
Combine like terms
Add 25 to both sides so as to isolate the variable
Divide both sides by 5
