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ratelena [41]
3 years ago
5

Mark is playing baseball after school. He wants to find the total distance he will need to ride his bike from school to the park

, where his game will be played. Find the distance Mark will ride to the park from school. Leave your answer in
simplest radical form if necessary.

- 6
- square root 13
- 5
- 2 square root 5

Mathematics
2 answers:
Elan Coil [88]3 years ago
8 0

Answer:

i think it's 6.

...........................

Aleonysh [2.5K]3 years ago
6 0

Answer:

2√5

Step-by-step explanation:

school is at (8,7) and park is at (10,11)

distance formula is the square root of the difference of the y-values, squared, added to the difference of the x-values, squared.

d = √(11-7)²+(10-8)²

d = √4²+2²

d = √16+4

d = √20 which equals √4·√5 which equals 2√5

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A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is
MAXImum [283]

Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = w+12 inches

As given, 4 inch squares are cut from each corner;

So, the width is = w-8 inches

Length is = w+12-8=w+4 inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, 256=(w+4)(w-8)(4)

=> 256=(w^{2}-4w-32)4

=> 64=(w^{2}-4w-32)

=> w^{2} -4w=96

or w^{2} -4w-96=0

=> w^{2} -12w+8w-96=0

=> w(w-12)+8(w-12)=0

We get , (w+8)=0 ; w = -8(neglect the negative value)

(w-12)=0 ; w = 12 inches

And length = 12+12=24 inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : 256=(w+4)(w-8)(4)

256=(12+4)(12-8)(4)

=> 256=(16)(4)(4)

=> 256=256

5 0
3 years ago
Click or touch the graph to plot points.
horrorfan [7]
Click or touch the graph to plot points.
Move the mouse over a point to see its coordinates.
y
Use the interactive to make a vertical line with thefddds
equation of x = 3.
The line x=3 has
slope.
4.
2
X1
-4
-2
2
4
N
-4
Reset
3 0
3 years ago
I need help on this plz ​
Shalnov [3]

Answer:

x = 3

Step-by-step explanation:

You can use cross multiply.

8x = 6 x 4

8x = 24

x = 3

7 0
3 years ago
Read 2 more answers
I NEED HELLLLLLLPPPPPPP? SHOW WORK PLSSSSSS IF WORK IS NOT SHOWN I WILL REPORT YOU! SO WATCH OUT!
Phoenix [80]
Answer is D
(1.5,3)

Explanation:

Substitute

1) 3-2(1.5)=0

So 0=0

2) 3=8(1.5)-9

So 3=3
7 0
3 years ago
Simplify (−6.5)(2)(−5).
Dmitry_Shevchenko [17]
65 is the answer,I just put it into a calculator,but all that really is is multiplying,a negative times a negative equals a positive so you would take -6.5×2=-13
-13×-5=65
5 0
4 years ago
Read 2 more answers
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