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NISA [10]
3 years ago
7

Find the distance BF for the points B(1,-1) and F(-3,5)

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
6 0
Use the distance formula: 
<span>\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
<span>
Plug in the given coordinates: 
</span><span>\sqrt{(-3-1)^2 + (5-(-1))^2}
<span>
Simplify: 
</span>\sqrt{(-3-1)^2 + (5+1))^2}

\sqrt{-4^2+ 6^2}

\sqrt{16+36}

\sqrt{52}
You can leave it as: \sqrt{52}or in decimal form as: 7.2
</span></span>
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2x+y=7 NEED HELP WITH THIS EQUATION
gogolik [260]

x=\frac{7-y}{2}

y=7−2x

6 0
3 years ago
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What does h equal? <br> 36=4(h+2)
tekilochka [14]

Answer:

h=7

Step-by-step explanation:

Distribute the 4 on the right side

36=4(h+2)

36=4h+8

Subtract 8 on both sides

28=4h

Divide by 4 on both sides

h=7

Hope this helps! :)

7 0
3 years ago
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Jocelyn just accepted a job at a new company where she will make an annual salary of $70000. Jocelyn was told that for each year
Oksanka [162]

Answer:

$80,500

55,500 + 1,500t

Step-by-step explanation:

The question is an arithmetic progression series

Where,

a= first term

d= common difference

n= number of terms

a = $70,000

d= $1,500

n= 8 years

8th term = a + (n-1) d

= 70,000 + (8-1)1500

= 70,000 + 7(1500)

= 70,000 + 10,500

= $80,500

Jocelyn salary after 8 years is $80,500

Solve for when n = t

t th term = a + (n-1)d

= 70,000 + (t - 1)1500

= 70,000 + 1,500t - 1,500

= 55,500 + 1,500t

t th term = 55,500 + 1,500t

4 0
3 years ago
Factor the following :
TEA [102]

Answer:

(6x - 7y)(6x + 7y)

Step-by-step explanation:

36x² - 49y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

36x² - 49y²

= (6x)² - (7y)²

= (6x - 7y)(6x + 7y)

4 0
3 years ago
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What is the best first step for solving the given system using substitution while avoiding fractions? =9x+4x=10 -9x+3y=3
aivan3 [116]

Answer:

  Solve for y in the second equation

Step-by-step explanation:

We assume your system is ...

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  • -9x +3y = 3

Dividing <em>the </em><em>second equation</em> by 3 gives ...

  -3x +y = 1

so an expression for y without fractions can be found by <em>solving for y</em>, that is, by adding 3x:

  y = 3x +1

_____

<em>Comment on alternate solution</em>

We'd be tempted to solve the first equation for -9x and substitute for that.

  -9x = 10 -4y

  (10 -4y) +3y = 3 . . . . . substitute for -9x

  -y = -7 . . . . . . . . . . . . . simplify, subtract 10

  y = 7 . . . . . . . . . . . . . . multiply by -1

3 0
3 years ago
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