Answer:
6 + 4 = 10
Step-by-step explanation:
This is the normal answer but if you meant monkey math then it is: 6 + 4 = 64
Answer:
decrease of 38% (to nearest percent)
Step-by-step explanation:
Percent change = [ (difference between final and initial value) ÷ initial value] x 100
⇒ percent change = [(2100 - 1300) ÷ 2100] × 100 = 38% (to nearest percent)
The slope of the line is 2 for the equation that is perpendicular.
Slope of the line:
Slope of the line refers the change in y coordinate with respect to the change in x coordinate.
Given,
Here we have the equation 3x + 6y = - 72 that is perpendicular to the line.
Now, we need to find the slope of the line from it.
First we have to convert the given equation of line into standard form,
Then we get,
3x + 6y + 72 = 0
Now we know that the slope of the line for this type of equation is,
m = -a/b
Whlie we compare the equation with the standard form ax + by + c = 0,
Then we get the value of a = 3 and b = 6
Therefore, the slope of the line is
m1 = -3/6
m1 =-1/2
Here we need to find the slope of a line which is perpendicular to the given line.
Through the definition we know that product of two perpendicular line is -1.
So,
m1 x m2 = -1
(-1/2) x m2 = -1
m2 = 2
Therefore, the slope of perpendicular line is 2
To know more about Slope of the line here.
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Answer
Burger meal = $8 and Hot dog meal = $6
Step-by-step explanation:
Let's use "x" to represent burger meals and "y" to represent hot dog meals.
Garcia family:
3x + 4y = $48
Baker family:
6x + 2y = $60
We have to first compare both families' and then eliminate one of our common variables, either the "x" or "y".
3x + 4y = $48
6x + 2y = $60
Let's eliminate "x". To do this we can multiply "3x" by "-2" to get "-6x". This will cancel out "6x":
-2 (3x + 4y = $48) ...our new equation would be....
-6x - 8y = -$96
Now to add our two families' equations together...
-6x - 8y = -$96
+
6x + 2y = $60
=
- 6y = -$36
Divide both sides by "-6" to get "y" by itself.
y = $6
We now know the value of "y" <em>or </em>one hot dog meal. Next, we want to solve for "x", our variable for the hamburger meal... We will plug in our y value to help us...
3x + 4(6) = $48
3x + 24 = $48
We want to get our x by itself. First, we can subtract 24 from each side.
3x = $24
Then we will divided both sides by 3 to get x alone.
x = $8
To check our work we can plug in our values for both "x" and "y" to see if they add up to $48 and $60:
3(8) + 4(6) = $48
24 + 24 = $48
and...
6(8) + 2(6) = $60
48 + 12 = $60
Answer:
7
Step-by-step explanation:
1. Use sine law to solve
3/sin35 = x/sin55
3sin55/sin35 = 7