Answer:
at 2/3 seconds
Step-by-step explanation:
S1(t) = t³ + 2
Average speed, dS1/dt = 3t²
S2(t) = t²
Average speed, dS2/dt = 2t
The distance between the objects is
dS1/dt - dS2/dt
= 3t² - 2t
The time the distance between the two object is at minimum is when the distance is 0
That is, when
3t² - 2t = 0
t(3t - 2) = 0
t = 0 or 3t - 2 = 0
t = 0 or t = 2/3
Answer:
7 ; 6
Step-by-step explanation:
Explanation:
1. CS ≅ HR, ∠CHS ≅ ∠HCR, ∠CSH ≅ ∠HRC — given
2. ∆CRH ~ ∆HSC — AA similarity theorem
3. ∠SCH ≅ ∠RHC — corresponding angles of similar triangles are congruent
4. CH ≅ HC — reflexive property of congruence
5. ∆CRH ≅ ∆HSC — SAS congruence theorem
6. CR ≅ HS — CPCTC
Answer:
x = 19/7 , y= -27/14
Step-by-step explanation:
Answer:
A. 36
B. 3.5
Step-by-step explanation:
To solve for the first equation, we could represent the hot dogs as h(1.75-.50), since they are losing .50 cents for each hot dog, <em>h,</em> they make.
Since they want to know how many hot dogs they have to sell to equal the amount of money they spent, we can represent it as an equal sign.
Now all we have to do is add the constants. Add 12 to our overall equation and subtract 57, since the <u>received</u> $12 in donations and <u>lost</u> $57.
Our equation is 12+h1.75=57+.5h We can just put all of the negative numbers on one side and the positive numbers on the other to find out when they will be equal.
First, subtract 12 from 57.
h1.75=45+.5h
Now subtract .5h from both sides.
h1.25=45
Finally, divide both sides by 1.25.
h=36.
They will have to sell 36 hot dogs.
If they want to sell halve the hotdogs for the same price, simply multiply the current price by 2.
The hotdogs will have to cost $3.5.
Hope this helps!
