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dem82 [27]
3 years ago
5

Find the distance between the points. Give an exact answer and an approximation to three decimal places.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0

Answer:

The distance between the points is d=2\sqrt{5}\ units   or d=4.472\ units  

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

(7,-3)\\(5,1)  

substitute the values

d=\sqrt{(1+3)^{2}+(5-7)^{2}}

d=\sqrt{(4)^{2}+(-2)^{2}}

d=\sqrt{20}\ units

d=2\sqrt{5}\ units  ----> exact answer

d=4.472\ units  -----> approximation to three decimal places

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Jessamine wants to ride her bike at least 85 miles per week. She rides to and from school 5 days per week. Her house is 6.25 mil
Naddik [55]
Let's translate the verbal language to algebraic language.

She rides to and from school 5 days per week, 6.25 miles each route => 5*2*6.25 miles = 62.5 miles.

She rides additioanly around the park 2.5 miles for each trip t => 2.5*t = 2.5t

Total miles of her rides per week: 62.5 miles + 2.5t

She wants to ride minimum 85 miles => 62.5 + 2.5t ≥ 85

Then, the situation is represented by this inequality:

2.5t + 62.5 ≥ 85

You can develop it and get to several equivalent inequalities, for example:

2.5t ≥ 85 - 62.5

2.5t ≥ 22.5

t ≥ 9

Any of the four forms are equivalent and a valid answer.
4 0
3 years ago
Read 2 more answers
what is the center of a circle whose equation is x2 + y2 – 12x – 2y + 12 = 0? o (-12,-2) o (-6, -1) o (6, 1) (12, 2)
Leno4ka [110]

Answer:

(6,1)

Step-by-step explanation:

1.) group the x and y terms (and move the constant to the other side)

x²-12x+y²-2y= -12

divide the coeficcents for the terms with just 1 or 1 x variable by 2 and then square it (and add that to both sides)

x²-12x+36+y²-2y+1= -12+36+1

factor

(x-6)²+(y-1)²= 25

the center is therefore (6,1)

7 0
2 years ago
Can someone help me
sergij07 [2.7K]

Answer:

1)  (c)∠ G = 34°

2) (a)  x = 33°

3) (d) The perpendicular segments are  JM, KL, PQ AND NR.

Step-by-step explanation:

Here in the given questions:

1)  p II r

⇒ ∠ G  = 34°  (ALTERNATE EXTERIOR ANGLES)

Hence, the measure of  ∠ G = 34°

2) In the given triangle:

The measure of exterior angle is always the sum of interior opposite angles.

⇒ Here, x + 72°  = 105°

or, x = 105° - 72° =   33°   , or x = 33°

3) The given plane in the cube is JKPN

The segments which have J , K , P and N as their one vertex are perpendicular to the given plane.

Hence, the segments are  JM, KL, PQ AND NR.

7 0
3 years ago
Find the dimensions of the cube,<br> Volume = 64 in
Ksivusya [100]

Answer:

4 in

Step-by-step explanation:

volume = 64 in³

side = cubic root of 64 in³

side = 4 in

Check: If a cube has side 4 in, then its volume is 4 in × 4 in × 4 in = 64 in³.

This shows that the answer 4 in is correct.

4 0
2 years ago
Read 2 more answers
Please help me answer this
defon

Answer:

It looks like the third one, C

Step-by-step explanation:

Every time c increases by 1, d increases by 2

That means the slope will be 1/2

That means the slope is positive

Which means that there can only be one answer, C

6 0
3 years ago
Read 2 more answers
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