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ivolga24 [154]
3 years ago
7

What is the distance between point A (-2 , -1) and point B (3, 2)?

Mathematics
1 answer:
lana [24]3 years ago
4 0

Answer:

Distance = √34

Step-by-step explanation:

Using the formula for distance

d = √(x_2 - x_1)^2 + ( y_2 - y_1)^2

Using what we are provided with

Two points

( -2, -1)(3, 2)

x_1 = -2

y_1 = -1

x_2 = 3

y_2 = 2

Inserting the values

d = √ ( 3 -(-2)^2 + (2-(-1)^2

= √ (3+2)^2 + (2+1)^2

= √ 5^2 + 3^2

= √25 + 9

= √34

= 5.83

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20x^2=256+128x. Solve by Factoring.
givi [52]
Hey there,
20x ^ 2 = 256 + 128x
400x = 256 + 128x
400x - 128x = 256
272x = 256
x = 256 / 272
   = <span>0.94117647058
   =0.9

Hope this helps :))

<em>~Top♥</em>
</span>
8 0
3 years ago
The gas tank is 20% full. At $3.00 per gallon of gas, find the cost to fill the tank. (1 gal = 231 in.3)
rewona [7]
The correct question in the attached figure

we know that

to fill the tank is required--------> 100%-20%--------> 80%
if 20% of the gas tank is-----------------> 288.75 gal
80% --------------------------------------> X gal
X=80*288.75/20--------> X=1155 gal

if 1 gal----------------> cost $3
 1155 gal----------> $X
X=1155*3--------> X=$3465

the answer is
the cost to fill the tank is $3465

7 0
3 years ago
Write an equation for the orbit of Saturn in the form x^2/a^2 + y^2/b^2 = 1
frozen [14]

Answer:

  x²/2166784 +y²/2159989 = 1

Step-by-step explanation:

The relationship between the semi-axes and the eccentricity of an ellipse is ...

  e = √(1 -b²/a²)

In order to write the desired equation we need to find 'b' from 'e' and 'a'.

__

<h3>semi-minor axis</h3>

Squaring the equation for eccentricity gives ...

  e² = 1 -b²/a²

Solving for b², we have ...

  b²/a² = 1 -e²

  b² = a²(1 -e²)

<h3>ellipse equation</h3>

Using the given values, we find ...

  b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989

The desired equation is ...

  x²/2166784 +y²/2159989 = 1

7 0
2 years ago
Can someone tell me what the intersection on the line is ??
algol13
The intersection is at (2,-1)
7 0
2 years ago
Read 2 more answers
Item 8 Solve for x. Use the quadratic formula. 2x2−5x−9=0 Enter the solutions, in simplified radical form, in the boxes.
Lubov Fominskaja [6]

Answer:

5+√97/4

Also 5-√97/4

Step-by-step explanation:

The Quadratic formula is x=-b+-√b^2-4ac/2a

This means that we should plug the values for A B AND C into the formula

We can work out that

<u><em>A = 2</em></u>

<u><em>B=-5</em></u>

<u><em>C=-9</em></u>

Once we have put these into the formula we get

5+√97/4 (all over 4) aka 3.71

Also 5-√97/4 (all over 4) aka -1.21

7 0
3 years ago
Read 2 more answers
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