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MArishka [77]
3 years ago
13

Troy started at the fire station. He walked to the library and then rode his bike to the post office. If Troy only traveled alon

g the grid lines and
took the shortest route, how far did he travel?

A. 6 blocks
B. 13 blocks
C. 14 blocks
D. 21 blocks

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

Answer:

Step-by-step explanation:

Calling it blocks is a little weird. but a good way to do it is to move left or right until you are over or below where you want to go then move up or down accordingly.  Each move, left, right up or down will count as one block.

So from the fire station you go 1 to the right and then 6 down, for a total of 7.  then from the library  it's 3 right then 4 up, which is 7 again.  7 to the first stop then 7 to the second makes 14 total.  

If there's something you don't get let me know.  

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23. Eduardo wants to get a grade of 95 in his math
dlinn [17]

Answer:

            equation:          (91 + 89 + x):3 = 95

            score needed:        x = 105

Step-by-step explanation:

x - the third test score

average of three it's a sum of the three divided by 3:

(91 + 89 + x):3 = 95

                ×3         ×3

    180 + x  = 285

         -180       - 180

            x = 105

3 0
3 years ago
Write an equation of the line that contains point (-5,2) and is parallel to the y-axis
lutik1710 [3]

Answer: x = -5 (rewritten: x + 5 = 0)

Step-by-step explanation:

First, we must take into account that the line is parallel to the y-axis. If a line is parallel to the y-axis, it is vertical, meaning that for every y-value, there can only be one x-value. Since the question contains a point that the line passes through, which is (-5, 2), we know that for every y-value of the line, the x-value will always equal -5. Thus, the equation of the line must be x = -5 (or, rewritten, x + 5 = 0).

5 0
2 years ago
Determine if the equation 2x=y represents a proportional relationship.
Romashka-Z-Leto [24]

Answer:

<h3> <u>Y</u><u>E</u><u>S</u><u> </u></h3>

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Hotmath

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Proportional Relationships

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:

y=kx

for some constant k , called the constant of proportionality .

(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .")

This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

The graph of the proportional relationship equation is a straight line through the origin.

5 0
2 years ago
Find the value of x.
Bingel [31]
Straight line adds up to 180
Triangle adds to 180
180-150=30
103+30=133
180-133=47
X=47°
3 0
2 years ago
The real numbers $x$ and $y$ are such that \begin{align*} x + y &amp;= 4, \\ x^2 + y^2 &amp;= 22, \\ x^4 &amp;= y^4 - 176 \sqrt{
tamaranim1 [39]

You get everything you need from factoring the last expression:

x^4-y^4=-176\sqrt7

The left side is a difference of squares, and we get another difference of squares upon factoring. We end up with

x^4-y^4=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)

Plug in everything you know and solve for x-y:

-176\sqrt7=(x-y)\cdot4\cdot22\implies x-y=\boxed{-2\sqrt7}

4 0
3 years ago
Read 2 more answers
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