Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
Answer:
8 / sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan A = BC / AC
tan 30 = BC / 8
8 tan 30 = BC
8 * sqrt(3)/3 = BC
8/3 sqrt(3) = BC
Answer:
90°
Step-by-step explanation:
180-124=56 so angle a is 56 and a=c so c would also be 56 next you'd have to add the right angle with angle c. 90+56=146 then to get the angle for b you would have to subtract 180-146 which is 34
34+56=90°
Answer:
44.7
Step-by-step explanation:
I guessed based on what the side looks like so if it's wrong I"m so so sorry
Answer:
The answer is
<h2>
</h2>
Step-by-step explanation:
To find the equation of a line given a point and slope we use the formula
<h3>y - y1 = m(x - x1)</h3>
where
m is the slope
( x1 , y1) is the point
From the question
Slope / m = - 2
The point is ( 10, - 9)
Substitute the values into the above formula
That's the final answer is
<h3>
</h3>
Hope this helps you
