Answer:
Yes
Step-by-step explanation:
The formula for area of a triangle is A = (1/2)bh,
For the first triangle we can leave it in general terms, so it's area is
A = (1/2)bh, depending on what b and h are, but it doesn't matter here...
The second triangle has base that is twice the other triangles base. Bases being multiples of each other is the definition of being proportional so the bases are proportional, an the area of the second triangle is
A = (1/2)(2b)h, which simplifies to
A = bh
Comparing the 2 areas, you can see that one has a multiplier of (1/2), so their areas are proportional
If you just want to solve for h, as it appears, isolate h by dividing both sides of the equation by 6.25.
That leaves h = 16. (16 hours, presumptively).
You need to distribute the numerical factors for each term in the parenthesis:
This equals
Answer:
x=50
Step-by-step explanation:
since its an isosceles triangle, both of the base angles are going to be the same. Since all of a triangle's angles combined equal 180, and you already have one angle, subtract the 80 from 180.
this leaves you with 100. since there are two angles left, divide 100 by two and thats the value of x
hope this helps!! :)
Answer:
y = - 3(x + 2)² + 12
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) = (- 2, 12), thus
y = a(x + 2)² + 12
To find a substitute (- 4, 0) into the equation
0 = a(- 2)² + 12, that is
4a + 12 = 0 ( subtract 12 from both sides )
4a = - 12 ( divide both sides by 4 )
a = - 3
y = - 3(x + 2)² + 12 ← equation in vertex form
