Answer:
Choice C
Step-by-step explanation:
Notice that the equation y = 0.5 x + 5
is a linear equation so the points that are solutions of it must reside on a line. Option A does not show aligned points, so it cannot be a possible answer.
Option B: we look into the given points and notice that just the first one (1, 0) is NOT a solution to the equation because:
y = 0.5 (1) + 5 = 5.5 and not "0"
Option C: This is the correct answer, since all those points satisfy the equation
Point (2, 6) --> y = 0.5 (2) + 5 = 1 + 5 = 6
Point (4, 7) --> y = 0.5 (4) + 5 = 2 + 5 = 7
Point (6, 8) --> y = 0.5 (6) + 5 = 3 + 5 = 8
Answer:
The shower uses less water
Step-by-step explanation:
In 12min the shower will use:
Shower = 1.75 gallons/min * 12min = <em>21</em> gallons of water
The bathtub at full capacity will store approximately:
Full Bathtub = 5*4*3 = 60ft^3 * 7.5 gallons/ft^3 = 450 gallons of water.
Since the tub is half-full, it will use:
Half Bathtub = <em>225 </em>gallons of water. A lot more than the shower.
A = 3 b = -16 and c = 2
the radicand would be
sq root (b^2 -4*a*c) =
sq root (256 -4*3*2) =
sq root (232)
So the roots will be real and not complex.
<u>Solution-</u>
Given that,
In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.
Then considering ΔPQT and ΔSTF,
1- ∠FTS ≅ ∠PTQ ( ∵ These two are vertical angles)
2- ∠TFS ≅ ∠TPQ ( ∵ These two are alternate interior angles)
3- ∠TSF ≅ ∠TQP ( ∵ These two are also alternate interior angles)
<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>
∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.
As QS = TQ + TS = 10 (given)
If TS is x, then TQ will be 10-x. Then putting these values in the equation
∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm
