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EastWind [94]
3 years ago
11

Please Find the distance between the two points rounding to the nearest tenth (if necessary).

Mathematics
2 answers:
Sphinxa [80]3 years ago
8 0

Answer:

10.29 u

Step-by-step explanation:

<u>Given :- </u>

  • Two points (7,4) and (-2,9) is given to us.

And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,

:\implies D = √{(x2-x1)² + (y2-y1)²}

:\implies D =√[ (7+2)² +(9-4)²]

:\implies D =√[ 9² +5²]

:\implies D =√[ 81 +25]

:\implies D = 10.29

<h3>Hence the distance between the two points is 10.29 units .</h3>
Trava [24]3 years ago
7 0

Answer:

6.32455532034

Step-by-step explanation:

Pythogreans theorem:

a^2 + b^2 = c^2 (we want c)

(9-7)^2+(-2-4)^2 = c^2

2^2 + (-6)^2 = c^2

4+36 = c^2

c = sqrt(40)

c = 6.32455532034

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How do you simplify this?<br>x²y+xy² / y²+2/5 × xy​​​
polet [3.4K]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • How do you simplify this?
  • x²y+xy² / y²+2/5 × xy

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

\sf\frac{  { x  }^{ 2  }  y+x { y  }^{ 2  }    }{  { y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy  } \\

Factor the expressions that are not already factored.

_____

<u>How </u><u>to</u><u> factorise</u><u> </u><u>:</u><u>-</u>

<u>NUMERATOR</u> \downarrow

\sf \: x ^ { 2 } y + x y ^ { 2 }

Factor out xy.

\sf \: xy\left(x+y\right)

<u>DENOMINATOR</u> \downarrow

\sf{ y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy \\

Factor out 1/5.

\sf \: {\frac{1}{5}y\left(2x+5y\right)}  \\

_____

Continuing...

\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)}  \\

Cancel out y in both the numerator and denominator.

\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)}  \\

Expand the expression.

\sf\frac{x^{2}+xy}{\frac{2}{5}x+y}  \\

This can further simplified to as \downarrow

=    \boxed{\boxed{\bf\frac{5x\left(x  +y\right)}{2x+5y}}}

3 0
3 years ago
Find the common ratio r for the given geometric sequence and find the next three terms.
34kurt

Answer:

The common ratio is -2

Next three terms are 18, -36, and 72

Step-by-step explanation:

The common ratio is -2 since each consecutive term is being multiplied by -2

The next three terms are -9(-2) = 18, 18(-2) = -36, and -36(-2) = 72

4 0
2 years ago
Read 2 more answers
A player shoots a basketball from a height of 6 feet. The equation, h = -16t^2 + 25t + 6, gives the height, h , of the basketbal
noname [10]

Answer:

\boxed {\boxed {\sf 7.5 \ feet}}

Step-by-step explanation:

We are given this function for the height (h) after t seconds:

h=-16t^2+25t+6

Seconds is t and we want to find the height after 1.5 seconds. Plug 1.5 in for t.

h= -16(1.5)^2+25(1.5)+6

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponent first.

  • (1.5)²= 1.5*1.5=2.25

h= -16(2.25)+25(1.5)+6

Multiply.

h= -36+25(1.5)+6

h= -36+37.5+6

Add.

h=1.5+6=7.5

This is already rounded to the nearest tenth, so it is the answer.

After 1.5 seconds, the basketball is at a height of 7.5 feet.

6 0
3 years ago
IM BEGGING YOU, IF YOU SEE THIS PLEASE TRY AND ANSWER IT!!! BRAINLIEST WOULD BE ALL YOURS!
Oksana_A [137]

Answer:

\displaystyle a_n=8+9(n-1)

<em>Correct option: C]</em>

Step-by-step explanation:

<u>Arithmetic Sequences</u>

Each term in an arithmetic sequence is obtained as the previous term plus a constant number called the common difference. The general term is

\displaystyle a_n=a_1+(n-1).r

We are given this information

\displaystyle a_1=8\ ,\ a_7=62

Replacing those values in the formula

\displaystyle 62=8+(7-1).r

Solving for r

\displaystyle r=\frac{62-8}{6}=\frac{54}{6}=9

\displaystyle r=9

The general term is, then

\displaystyle a_n=8+(n-1)9

Or equivalently

\displaystyle a_n=8+9(n-1)

Correct option: C]

5 0
3 years ago
Are the ratios 2.5:3.5 and 5:7 proportianal
patriot [66]

Answer:no

Step-by-step explanation:

7 0
3 years ago
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