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Jobisdone [24]
3 years ago
9

On the number line bug A is moving in the positive direction from the point 0, and a bug B is moving in the negative direction f

rom the point 0. The speeds of both bugs are constant. Both leave 0 at the same time, and three seconds later A has reached 18 and B has reached -15
If x is the point reached by A after t seconds, and y is the point reached by B after t seconds, express x and y in terms of t.
Mathematics
1 answer:
kumpel [21]3 years ago
6 0

Answer:

x =6t

y = - 5t

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Solve for w 6w + 4w - 9 + 6 = 9w - 7+ 6
Dmitry_Shevchenko [17]

Answer:

w = 2

Step-by-step explanation:

6w + 4w - 9 + 6 = 9w - 7+ 6

6w + 4w - 9w = - 7 + 6 + 9 - 6

w = 2

4 0
3 years ago
briana house is at (1,6) and jordan house is(5,3) what is one possible path from brianna house to jordan house
Maurinko [17]

Answer:

see the explanation

Step-by-step explanation:

Let

A (1,6)------> location Brianna's house on a map

B (5,3)------> location Jordan's house on a map

we know that

One possible path from Brianna's house to Jordan's house it's a straight line  ( the shortest distance)

using a graph tool

see the attached figure

<em>Find the distance points AB</em>

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the values

d_A_B=\sqrt{(3-6)^{2}+(5-1)^{2}}

d_A_B=\sqrt{(-3)^{2}+(4)^{2}}

d_A_B=\sqrt{25}

d_A_B=5\ units

The distance from Brianna's house to Jordan's house is 5 units

6 0
3 years ago
Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account Interest 2.5% per annum Shares
musickatia [10]

Answer: Ben will have the most interest.

Step-by-step explanation:

Ali after 3 years.

To use compound interest, the formula is:

= Investment * ( 1 + rate) ^ no. of periods

= 2,000 * ( 1 + 2.5%)³

= £‭2,153.78

Interest = Amount after 3 years - investment

= 2,153.78 - 2,000

= £153.78

Ben after 3 years.

= 1,600 * (1 + 3.5%)³

= £1,773.95

Interest = 1,773.93 - 1,600

= £173.93

4 0
3 years ago
!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?
stiks02 [169]

Answer:

Pythagorean Theorem: c2 = a2 + b2

Find the area by adding the areas of the three triangles. The area of a right triangle is: A = ½bh

Two triangles are identical so you can just multiply the area of the first triangle by two: 2A1 = 2(½bh) = 2(½ab) = ab.

The total area of the trapezoid is : A1 + A2 = ab + ½c2

You multiply both sides by 2 to get rid of the ½: (a2 + 2ab + b2) = 2ab + c2

You subtract out the 2ab: a2 + b2 = c2.

Then what is left is the proof: a2 + b2 = c2

6 0
2 years ago
Given f ( x ) = 1 x + 10 , find the average rate of change of f ( x ) on the interval [ 8 , 8 + h ] . Your answer will be an exp
son4ous [18]

Answer: 1

Step-by-step explanation:

f(8+h)=8+h+10=18+h\\\\f(8)=8+10=18

So, the average rate of change is:

\frac{(18+h)-18}{(8+h)-8}=\frac{h}{h}=\boxed{1}

The question is wrong, the expression will not be in terms of h since it is a linear function.

6 0
2 years ago
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