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Tju [1.3M]
2 years ago
15

What is the solution to the system of equations? y=-2x + 6 y = 3x + 1

Mathematics
1 answer:
babymother [125]2 years ago
8 0

B. ( 1 , 4 )

.................

.................

.................

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Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due
ANTONII [103]

Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),

        Formula :   d=v*t

at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)

      Formula : D=\sqrt{(x2-x1)^2+(y2-y1)^2}

⇒                     D = \sqrt{20^2t^2+15(t-1)^2}

Now let           F(t) = D^2(t)

                ∵    F'(t) = 800t + 450(t-1) =  1250t -450\\F'(t) =0

⇒                     t= 450/1250

⇒                     t= .36 hours

⇒                       = 21 min 36 sec

Since F"(t)=0,

∴ This time gives us a minimum.

Thus, The two boats will closet together at 2:21:36 pm.

3 0
3 years ago
A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far
Elena-2011 [213]

Answer:

11.6 should be your answer!

Step-by-step explanation:

Im so sorry if its wrong!

Hope this helps!!

( > .< )

6 0
3 years ago
In 687,332,195, how is the value of the three in the ten thousands place related to the value of the 3 in the hundred thousands
olganol [36]
<span>In this case, the value of the first 3 (the ten-thousands) has a value of 30,000. The 3 next to it, in the hundred-thousands place, has a value of 300,000. To compare the two, the 3 on the right has a value one-tenth as much as that on the left.</span>
8 0
3 years ago
Read 2 more answers
Simplify (5^1/3)^3.
pentagon [3]

Answer:

The correct option is C. 5

Therefore,

(5^{\frac{1}{3})^{3}\ =\ \d5

Step-by-step explanation:

Simplify

(5^{\dfrac{1}{3})^{3}=?

Solution:

Using Identity

(x^{a})^{b}=x^{(a\times b)}

So in the given expression

x = 5\\a=\dfrac{1}{3}\\\\b=3

Therefore,

(5^{\frac{1}{3})^{3}\ =\ \d5^{(\dfrac{1}{3}\times 3)}=\d5^{1}=\d5

Therefore,

(5^{\frac{1}{3})^{3}\ =\ \d5

6 0
3 years ago
Which of the following angle pairs best describes angles 6 and 4 in the graphic below?
andriy [413]
Answer: Choice C) Same-side interior angles

------------------------------------------------------------------------------

Angle 4 and angle 6 are on the same side, in this case the right hand side of the transversal line (line t). In addition, they are on the interior of the "train tracks" horizontal  lines (line a and line b). Combine this and this is why the two angles are same-side interior angles

Side note: if line a is parallel to line b, then angle 4 and angle 6 add to 180 degrees. At this point, they are considered supplementary.
8 0
3 years ago
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