= -<span>9x-12=35-x
Put like terms together:
= -9x + x = 35 + 12
= -8x = 47
= x = -47/8
= x = -5.875
In short, Your Answer would be: -5.875
Hope this helps!</span>
Answer
The line of symmetry x = -4
Step by step explanation
Here we have to use the formula.
The symmetry of a parabola x = -b/2a
Now compare the given equation y = 3x^2 + 24x -1 with the general form y = ax^2 + bx + c and identify the value of "a" and "b"
Here a = 3 and b = 24. Now plug in these values in to the formula to find the line of symmetry.
x = -24/ 2(3)
x = -24/6
x = -4
Therefore, the line of symmetry x = -4.
Thank you.
We know that
If the scalar product of two vectors<span> is zero, both vectors are </span><span>orthogonal
</span><span>A. (-2,5)
</span>(-2,5)*(1,5)-------> -2*1+5*5=23-----------> <span>are not orthogonal
</span><span>B. (10,-2)
</span>(10,-2)*(1,5)-------> 10*1-2*5=0-----------> are orthogonal
<span>C. (-1,-5)
</span>(-1,-5)*(1,5)-------> -1*1-5*5=-26-----------> are not orthogonal
<span>D. (-5,1)
</span>(-5,1)*(1,5)-------> -5*1+1*5=0-----------> are orthogonal
the answer is
B. (10,-2) and D. (-5,1) are orthogonal to (1,5)
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.
The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), <em>you must do it to both sides of the equation</em>.
We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:
10 -9x -5 = 9x -9x +2
x -5 = 2 . . . . simplify
Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:
x -5 +5 = 2 +5
x = 7 . . . . simplify
The solution is x = 7.
_____
<em>Additional comment</em>
If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.
Answer:
<h2><u><em>
2.74 m</em></u></h2>
Step-by-step explanation:
<u><em>convert to meters</em></u>
6 dm = 0.6 m
40 mm = 0.04 m
2 m = 2 m
10 cm = 0.1 m
sum
0.6 + 0.04 + 2 + 0.1 =
2.74 m
