Answer:
a=1
b=2
c=-8
y-intercept: (0, -8)
Line of symmetry calculation: x = -2/(2*1)
Line of symmetry: -1
Opens up because a > 0
Minimum
Vertex: (-1, -9)
Domain: -∞ < x < ∞ (no domain constraints)
Range: [-9, ∞]
Step-by-step explanation:
Answer: D. cylinder F. prism
Step-by-step explanation:
From the given figures in the options , only cylinder and prism have two congruent parallel bases.
- A cylinder is a solid figure which has the two congruent parallel bases i.e. circles.
- A prism is a solid shape that has two parallel congruent sides which are called bases and they are joined by the lateral faces that are parallelograms.
Rest of other options do not have congruent parallel bases.
Answer:
T= 2.35 seconds
Step-by-step explanation:
⇒The question is on the time of flight.
⇒Time of flight is the time taken for a projected object to reach the ground.It depends on the <u>projectile angle</u> and the <u>initial velocity</u> of the projectile
Given;
Initial velocity of ball= 110ft./sec.
The projectile angle= 20°
Acceleration due to gravity, g=32 ft./s²
⇒Formulae for time of fright T= (2×u×sin Ф)/g
Where T=time of fright, u=initial velocity of projectile, Ф=projectile angle and g=acceleration due o gravity.
<u>Substituting values</u>
T= (2×u×sin Ф)/g
T=( 2×110×sin 20°) / 32
T= 2.35 seconds
Answer:
Option C
Step-by-step explanation:
Given that u-ai + bj and v-ci + dj are vectors
We have dot product
hence inner product of u and v. So option a is true
The dot product of u and v is a scalar is true because dot product is always a scalar
The dot product of u and v is a vector. is false because dot product is only a scalar and has no direction and hence cannot be a vector
The dot product of u and v is given by the expression ac+bd
True because we multiply corresponding i components and j components and add.
So only C is not true.
Answer:
B. Multiply the divisor and dividend by 100.
Step-by-step explanation:
Multiply by 100 to get rid of the decimal
