(x-5)(x+4)
The two numbers should add up to the b value and multiply to the c value.
Check:
-5+4=-1
-5*4=-20
Final answer: B
Answer:
10.5618feet, 0.8125sec
Step-by-step explanation:
Given the height reached by the catapult expressed by the equation H=-16T^2+26T
At the maximum height, the velocity of the object is zero, hence;
v = dh/dt = 0
-32t + 26 = 0
-32t = -26
t = 26/32
t = 0.8125secs
Hence it will attain the maximum height after 0.8125second
Substitute t = 0.8125s into the expression to get the maximum height
H=-16t^2+26t
H = -16(0.8125)^2 + 26(0.8125)
H = -16(0.6602) + 21.125
H = -10.5632+21.125
H = 10.5618
hence the maximum height reached by the ball is 10.5618feet
This is a parabola, meaning the equation is a quadratic, so it has 2 roots or x-intercepts, keeping in mind that vertex will lie half-way between those intercepts.
so what's the x-value halfway between -3 and 7? yeap, you guessed it, 2.
so the axis of symmetry for this vertical parabola will be at x = 2.
Answer:
option B) ΔABE ∼ ΔADC
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
If two triangles are similar, then its corresponding sides are proportional and its corresponding angles are congruent
In this problem
Triangles ABE and ADC are similar by AA Similarity Theorem
because
m∠ ABE≅m∠ADC
m∠ BAE≅m∠DAC
The corresponding sides are
AB and AD
BE and DC
AE and AC
so
