Answer:
B - y = 2x - 8
Step-by-step explanation:
Step 1: find slope
2x + 4y = 6
4y = -2x + 6
Make y the subject of the formula
y =( -2x + 6)/4
We can separate to get the slope
y = -2x/4 + 6/4
y = -x/2 + 3/2
Slope m = -1/2
Step 2: using a point slope form equation
y - y1 = m ( x - x1)
Note: if two lines are perpendicular to the other, it is always a negative reciprocal of each other
ie m = 2
Substitute m into the equation
y - y1 = 2(x - x1)
Step 3: sub the point
( 6 , 4)
x1 = 6
y1 = 4
y - 4 = 2( x - 6)
Step 4 : using a slope intercept form equation
Open the bracket
y - 4 = 2x - 12
y = 2x - 12 + 4
y = 2x - 8
The equation of a line is
y = 2x - 8
<h2>
Hello!</h2>
The answer is:
The answer is the fourth option,

<h2>
Why?</h2>
Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.
We are given the piecewise function:

There, we know that:
We should use the first expression if the value to evaluate is less than -2.
So, for this case, the function will be:

We should use the second expression if the value to evaluate is greater or equal than 2.
So, for this case, the function will be:

Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.

So, evaluating the function we have:



Hence, we have that the answer is the fourth option,

Have a nice day!
Answer:
a=-36
Step-by-step explanation:
1/6(a+12)=-4
1) Distribute <u>1/6</u> to a and 12:
1/6a+2=-4
2) Subtract 2 from both sides:
1/6a=-6
3) Multiply both sides by the reciprocal of 1/6: (6/1)
a=-36
Let me know if you have any confusion on how I reached the solution :)
Answer:
A
Step-by-step explanation:
We take a look at this expression:
and notice that both terms are square numbers.
and
.
There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares
, it can always be factored into
.
Here, we can apply that. In this case, a = 7x and b = 3. So:

Thus, the answer is A.
Hope this helps!
Answer:
Equation: (2x + 30) + 106 = 180
x = 22°
Step-by-step explanation:
<u>We know that the missing angle from within the triangle and the expression 2x + 30 makes 180 so we can say;</u>
180 - (33 + 41) = missing angle
180 - 74 = missing angle
<u>106</u>°<u> = missing angle</u>
Now we can set up our equation to solve for x:
(2x + 30) + missing angle = 180°
<u>(2x + 30) + 106 = 180</u>°<u> => This would be our equation:</u>
Now let's solve:
2x + 30 + 106 = 180°
2x + 136 = 180
2x = 180 - 136
2x = 44
x = 44/2
<u>x = 22°</u>
Hope this helps!