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Eddi Din [679]
3 years ago
14

A garbage truck and a dump truck each drive along a straight road between two points. Using the points on a map that the city cr

eated, the garbage truck will start at (–3, 4) and will stop at (5, 12). The dump truck will start at (5, –3) and will stop at (–4, 33).
What are the coordinates of the intersection that both trucks drive through?
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0
We first find the lines of the motion of each truck, then calculate its intercept.
Garbage truck:
m = (12 - 4) / (5 - 3)
m = 4
4 - y = 4(3 - x)
4x - y = 8

Dump truck:
m = (33 + 3) / (-4 - 5)
m = -4
33 - y = -4(-4 - x)
4x + y = 17

Adding the two equations to solve them, we get:
8x = 25
x = 25 / 8

y = 17 - 4(25/8)
y = 17 - 25/2
y = 9/2

The trucks' point of intersection is (25/8,9/2)
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Given a geometric sequence with a1 = 3 and r = 0.5, write the first three terms of the sequence
Blizzard [7]
In a geometric sequence, the numbers are found by multiplying each number by a fixed amount called a common ratio(r).

a1....this is ur first number....so since a1 = 3, ur first number is 3...and to find ur next numbers, multiply each number by r, the common ratio (which equals 0.5)

first number = 3.......3 x 0.5 = 1.5
second number = 1.5......1.5 x 0.5 = 0.75
third number = 0.75

si the first 3 terms are : 3, 1.5, 0.75
8 0
3 years ago
Which expressions are equivalent to z + (z + 6) z+(z+6)z, plus, left parenthesis, z, plus, 6, right parenthesis ?
Scorpion4ik [409]

In the question, the given expression is

z+(z+6)

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First we remove the parenthesis

z+z+6

Now we combine the like terms, and here like terms are z and z, therefore on combining , we will get

z+z+6 = 2z+6

And that's the required equivalent expression .

8 0
3 years ago
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Why do you get a math error when you try to evaluate (-100) ^0.5, but not when you evaluate -100^1.5?
Angelina_Jolie [31]
The parentheses take part in that
4 0
3 years ago
How to solve 5(x+10) + 2x
sveta [45]

Expand

5x+50+2x5x+50+2x

Collect like terms

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6 0
3 years ago
Please help thanks a lot for your help
Salsk061 [2.6K]

Answer:

it's hypotenuse

then

base^2+length ^2=hypotenuse^2

5^2+9^2=106^2

11236

if wrong correct me pls

have a great day ahead

CapTainGeNius

7 0
3 years ago
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