Answer:
x ≈ 49.7°
Step-by-step explanation:
Since, the given triangle is an isosceles triangle,
Two sides having measure 17 units are equal.
Opposite angles of these equal sides will be equal.
Measure of the third angle = 180° - (x + x)°
By sine rule,
[Since, sin(180 - θ) = sinθ]
cos(x) = 
x = 49.68°
x ≈ 49.7°
Answer:
y^2 +8y + 16
Step-by-step explanation:
6y^2 +2y +5 - (5y^2 -6y -11)
I distribute the minus sign
6y^2 +2y +5 - 5y^2 +6y +11
Then I put them vertical.
6y^2 +2y +5
-5y^2 +6y +11
------------------------
y^2 +8y + 16
This is in standard from since the exponential decreases.
Well since 1275 is a monthly fee that would be your slope or m. Since your 3% commission is then your, y-intercept or b. So fine the commission by multiplying 1275 by .03, to find the commission. Then plug it all into slope intercept form which is, y=mx+b.
Answer:
f(x) = 3(x - 2)² + 4
OR
f(x) = 3x² - 12x + 16
Step-by-step explanation:
Vertex form of a parabola:
Standard form of a parabola:
Let's find the vertex of this parabola.
In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.
Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.
Simplify using PEMDAS.
Subtract 4 from both sides.
Now we have (h, k) and a of the vertex form.
- y = a(x - h)² + k → y = 3(x - 2)² + 4
In order to convert from vertex to standard form, simplify the equation by FOILing.
Distribute 3 inside the parentheses.
Combine like terms.
Therefore, we have the answer:
<u>Vertex form:</u>
<u>Standard form:</u>
Answer:
It is the Rectangular Prism.
Step-by-step explanation:
Sry, I don't have enough time to write out an explanation. Hope the answer helped!
