Answer:
40 ft
Step-by-step explanation:
<em>Data:
</em>
(1) P = 120 ft
(2) l = 2w
<em>Calculations:
</em>
(3) P = 2l + 2w Substitute (1) and (2) into (3)
120 = 2(2w) + 2w Multiply
120 = 4w +2w Combine like terms
120 = 6w Divide by 6
(4) w = 20 ft Substitute (4) into (2)
l = 2 × 20
l = 40 ft
<em>Check:
</em>
120 = 2×40 + 2×20
120 = 80 + 40
120 = 120
Answer:
y = x² + 2x + 5
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 the vertex = (- 1, 4), thus
y = a(x + 1)² + 4
To find a substitute (0, 5) a point on the graph into the equation
5 = a(0 + 1)² + 4
5 = a + 4 ( subtract 4 from both sides )
a = 1, thus
y = (x + 1)² + 4 ← expand and simplify
= x² + 2x + 1 + 4
= x² + 2x + 5
Answer:
see below
Step-by-step explanation:
Angle ACE = DCE since they are vertical angles
Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles
Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles
When all three angles are equal, the triangles are similar.
We can use ratios to find DE
DE CE
------- = ----------
AB AC
DE 8
------- = ----------
12 10
Using cross products
10 DE = 8*12
10 DE = 96
Divide by 10
DE = 9.6
<span>So we want to know what is the value of the car after three years if the car depricates in value for 48% and we know that the initial value of the car is 43900$. So if the price depricates for 48%, that means the new value is 52% of the initial value so: 43900$*0.52=22828$. So C is the correct answer.</span>