Hi there! The answer is y = -3x - 21
Let's set up the equation of the line step by step! First we need to know that we need to set up an equation in slope-intercept form. We get the following:
y = ax + b.
a represents the slope of the line.
b represents the intercept with the y-axis.
Since our new line is parallel to y = -3x + 1, both lines have the same slope. Therefore the slope of our line, which is represented by a, is -3.
y = -3x + b.
We also know that this line goes through the point (-5, -6) and therefore we can plug in these coordinates into our formula.
-6 = -3 × -5 + b
Simplify
-6 = 15 + b
Subtract 15
-21 = b
Switch sides
b = -21
Hence, y = -3x - 21
~ Hope this helps you!
The answer is A,D and E because they all have the same shape and size therefore they’re congruent.
It should be B 3y=5 hope I'm right.
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/ ___ \ Let's imagine a trapezoid looks like this. The two parallel lines would be the top and the bottom lines.
The 10 in. side would be either the top or bottom line. The other parallel line is twice as long, meaning it's 2 times longer. So you multiply 10 in x 2 = 20 in.
The given side length = 10 inches.
Height = half as long, meaning it's half of 10 in. = 5 in.
Formula of a trapezoid =

x height
Where a and b are bases. The top and bottom of the trapezoid are bases.
Area trapezoid =

x 5 =

x 5 = 15 x 5 = 75 in² <-- area means the unit is squared
SOH CAH TOA
Sine: Opposite over Hypotenuse
Cosine: Adjacent over Hypotenuse
Tangent: Opposite over Adjacent