Answer:
x = 40
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
hgggghbubugufugfugftxfzdcotcgic t cycle yohgcitt your
Answer:20.6 inches
Step-by-step explanation:
The diagonal measure of a rectangular TV screen is 42 inches. The width of the screen is 36.6 inches.
The diagonal , width and height forms a right angle triangle
So we apply pythagorean theorem
Diagonal is the hypotenuse
LEt the height of the screen is 'h'
c^2= a^2 + b^2
42^2= 36.6^2 + h^2
Subtract 36.6^2 from both sides
h^2 = 424.44
Take square root on both sides
h=20.60194
Round to nearest tenth
Height of the screen = 20.6 inches
Answer:
18
Step-by-step explanation:
Since this is a multiple choice question, I will employ the guess and check method - meaning I will check each answer one by one.
Variable x = dimes = $0.10
Variable y = quarters = $0.25
Set up a system of equations:
x + y = 38
x(0.10) + y(0.25) = 6.80
Plug in each choice into the second equation. You can find the number of quarters that correspond to each number of dimes by using the first equation.
20 dimes:
20 + y = 38
y = 18
20(0.10) + 18(0.25) = 6.80
2 + 4.5 = 6.80
6.5 does not equal 6.80
Because dimes (x) are worth less than quarters (y), this result tells us the answer will be less than 20 dimes as with 20 or more we have less than $6.80. Another example just to show this is true:
38 dimes:
38 + y = 38
y = 0
38(0.10) + 0(0.25) = 6.80
3.8 + 0 = 6.80
3.8 does not equal 6.80.
Since x is worth less than y, we need more of y rather than x. Adding more x will only mean we will get a lower price. Adding more y will mean we get a higher price which is what we need. So only solve for x that is less than 20.
6
6 + y = 38
y = 22
6(0.10) + 32(0.25) = 6.80
0.60 + 8 = 8.60
8.60 does not equal 6.80.
This result is higher than what we wanted (6.80) which means we need more x. Now we only have to solve for x numbers that are greater than 6 and less than 20.
18
18 + y = 38
y = 20
18(0.10) + 20(0.25) = 6.80
1.8 + 5 = 6.8
6.8 does equal 6.8.
Correct!
Answer: The graph is attached.
Step-by-step explanation:
By definition, the line intersects the y-axis when 
.
Then, in order to find the y-intercept, substitute into the equation and solve for "y":
By definition, the line intersects the x-axis when 
.
Then, in order to find the x-intercept, you can substitute into the equation and then you must solve for "x". Then you get:
Knowing that the line passes through the points 
and 
, you can graph it (The graph is attached).
