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expeople1 [14]
3 years ago
10

A grid shows the positions of a subway stop and your house. The subway stop is located at (7,-4) and your house is located at (-

3,6). What is the distance, to the nearest unit, between your house and the subway stop.

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0
Image a right triangle with two points at these two locations and the hypothenuse as the distance between them.
Find the length straight down from the first point to the second: 10 units
Find the length to the right from the first point to the second: 10 units
Use the Pythagorean theorem: a^2 + b^2 = c^2
10^2 + 10^2 = 200
√200 = 10√2 = 14.14 units
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The difference of two numbers is 44 1 /2 . If the smaller of the two numbers increases 7 times then the difference will be 10 3/
pshichka [43]
Let’s call the numbers x and y. Let’s also say that x is the smaller of the two. Since their difference (the answer you get when you subtract is 44 and a half) we know that y-x=44.5

Next we are told that if the smaller increases 7 times (that means 7x) their difference would be 10 3/14. Let’s write that as a fraction. It is 14x10+3 over 14. That is 143/14.

So this means y-7x=143/14.

We have two equations and two unknowns (a system of equations). We write one over the other and subtract them to get:

y-x=44.5
y-7x=143/14

Subtracting yields:
(y-y)+(-x - - 7x) = 44.5 - 143/14
6x = (89/2) - (143/14)
6x= 623/14 - 143/14
6x=480/14
X= (480/14)(1/6)
X=80/14
x= 40/7 = 5 5/7

Since y-x=89/2
We get y - 40/7 = 89/2
Y = 40/7 + 89/2
Y = 80/14 + 623/14
Y = 703/14 = 50 3/14
8 0
3 years ago
An ice cream shop sells large cones for $2.50 and small cones for $1.50. Jack has enough money to buy 21 large cones. How many s
Strike441 [17]

Answer:

35 cones

Step-by-step explanation:

21 x $2.50

=52.5

52.5/$1.50

= 35 small cones he can buy

6 0
3 years ago
Read 2 more answers
PLEASE HELP! For the function f(x) = x^2, what effect will multiplying f(x) by 1/2 have on the graph?
zhenek [66]
The answer is D.  The graph will be compressed vertically.

1/2f(x) means half of the y values of the original function making the graph shorter
5 0
3 years ago
Nolan begins a savings account with $100 at 2% interest according to the equation , where Vn is the value of his account after x
AleksAgata [21]
$94.23...............
6 0
3 years ago
Solve the system of two linear inequalities graphically.
Sladkaya [172]

Answer:

See attachment

Step-by-step explanation:

Isolate y in the first inequality:

2x + 4y < -16\\4y < - 16 -2 x\\y < -4 -\frac{1}{2} x\\y < -\frac{x+8}{2} \\

Now, with both x and y inequalities found, graph it.

7 0
2 years ago
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