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ludmilkaskok [199]
3 years ago
10

on a coordinate grid, her house is located at (1,2) and the park at (5,5) what is the shortest distance from her house to the pa

rk
Mathematics
1 answer:
nadya68 [22]3 years ago
3 0
To solve, use the distance formula: d= \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}. Using your values of x and y, you get d= \sqrt{(1+5)^2+(2+5)^2} = \sqrt{6^2+7^2} = \sqrt{36+49} = \sqrt{85}, which is approximately 9.22. This means your shortest distance is √85≈9.22
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A ball is launched into the sky at 48 feet per second from a building 48 feet tall. The equation for the ball’s height h at time
kkurt [141]

Answer:

4 seconds I believe

Step-by-step explanation:

3 0
3 years ago
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. (5 points) −5x − 25
Fofino [41]

Answer:

x = -20.6

Step-by-step explanation:

Step 1: −5x − 25 − 25 = 78 − 25

Should be

Step 1: -5x-25+25=78+25

Step 2: -5x=103

Step 3: Divide both sides by -5: x = -20.6

5 0
3 years ago
Bobby has already ran 1 mile on his own, and he expects to run 1 mile during each track practice. How many track practices would
german

Answer:

In order to have ran 33 miles, Bobby would have to attend <em>32 track practices.</em>

Step-by-step explanation:

Solving this problem entails of uncovering the amount of track practices Bobby must attend in order to have ran 33 miles. Start by reading the problem carefully to break down the information provided.

You can see that Bobby has already ran one mile on his own. This is important to remember for later. The problem also states that he expects to run one mile at every track practice.

Setting up an equation will help us solve. Here is how we could set up the equation:

(<em>amount of miles already ran</em> = 1) + (<em>number of track practices</em> = x) = (<em>total miles to run</em> = 33)

1 + x = 33

The equation is now in place. You can solve this, or isolate <em>'x',</em> by using the subtraction property of equality. This means we will subtract one from both sides of the equation, thus isolating the variable.

1 + x = 33

1 - 1 + x = 33 - 1

x = 32

The variable is the only term left on the left side of the equation. This means Bobby must attend track practice <em>32 times</em> in order to have ran 33 miles.

8 0
3 years ago
Maggie created this scale drawing of a soccer field, using a scale factor of 1 inch : 12 yards. She wants to make another scale
larisa [96]

The length and width of the new scale drawing is 36 inches and 24 inches respectively.

The given parameters:

  • <em>Original scale of the soccer field, 1 inch : 12 yards</em>

The original length and width of the soccer field is calculated as follows;

1 inch : 12 yards

  • original width = 6 x 12 yards = 72 yards
  • original length = 9 x 12 = 108 yards

For the new scale of 1 inch : 3 yards, the new length and width are represented as;

<em>the </em><em>new width</em><em>:</em>

\frac{1 \ inch}{x} = \frac{3 \ yards}{72 \ yards} \\\\x = 24 \ inches

<em>the </em><em>new length</em><em>:</em>

\frac{1 \ inch}{x} = \frac{3 \ yards}{108 \ yards} \\\\x = 36\ inches

Thus, the length and width of the new scale drawing is 36 inches and 24 inches respectively.

Learn more about scale drawing here:

7 0
2 years ago
Which pair of events is a dependent event?
Svetradugi [14.3K]

c is the answer

good luck  :))))

7 0
3 years ago
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