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Dmitriy789 [7]
3 years ago
14

Write an equation in standard form of the line that passes through (3, 1) and has a y intercept of -2

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
3 0

Step-by-step explanation:

First of all, use substitution to find slope

(1) = m(3) - 2

3 = m3

m = 1

With both the slope and y int, you can write it in y int form

y = 1x - 2

Convert that to standard form

-x + y = -2

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Solve -2x^2 + 10x + 9 =0 by using completing the squares and give u r answer to two decimal places
adell [148]
<span>-2x^2 + 10x + 9 =0
multiply whole equation by -1
2x^2  -10x -9 =0

(sqrt2x)^2  -2(sqrt2x)(5/</span>sqrt2) -9=0
add (5/sqrt2)^2 on both sides
(sqrt2x)^2  -2(sqrt2x)(5/sqrt2) + (5/sqrt2)^2-9=(5/sqrt2)^2

a^2-2ab+b^2=(a-b)^2
(sqrt2x  -  5/sqrt2)^2=(5/sqrt2)^2+9

(sqrt2x  -  5/sqrt2)^2=21.5

taking squareroot on both sides

sqrt2x  -  5/sqrt2 = +-4.64
so
sqrt2x  -  5/sqrt2 = +4.64       or         sqrt2x  -  5/sqrt2 = -4.64
sqrt2x = 4.64 +  5/sqrt2                     sqrt2x = -4.64 +  5/sqrt2
sqrt2x =8.18                                         sqrt2x = -1.1045
x=8.18/sqrt2                                        x= -1.1045/sqrt2
x=5.78                                                 x=-0.781
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3 years ago
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Write the equation of the line parallel to x = -16 and passes through the point (9, -10).
nekit [7.7K]
Parallel lines has equal slopes.
Line x = -16 is a vertical line.
Equation of vertical line is given by x = x1

Required equation is x = 9
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Divide 81 ft in the ratio 5 :4
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Answer:

Rr = 51 : 68

Step-by-step explanation:

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The formula for the future value V (in dollars) of an investment earning simple interest is V=p+prt, where p (in dollars) is the
serious [3.7K]

Answer:

A. p=\dfrac{V}{1+rt}

B. $2,307.69

Step-by-step explanation:

You are given the formula

V=p+prt,

where V = investment earning simple interest

p = principal,

r = interest rate

t = time

So,

A. V=p(1+rt)\\ \\p=\dfrac{V}{1+rt}

B. r = 0.06 (or 6% as percent)

V = $3,000

t =5

so,

3,000=p+p\cdot 0.06\cdot 5\\ \\3,000=p+0.3p\\ \\1.3p=3,000\\ \\p=\dfrac{3,000}{1.3}\approx 2,307.69

6 0
3 years ago
Please answer this I don't understand how to do it thanks
Mars2501 [29]

Answer:

The answer is 8.6×10¹⁴

Step-by-step explanation:

You can evaluate it :

(4.3 \times  {10}^{8} ) \times (2.0 \times  {10}^{6} )

= (4.3 \times 2.0) \times ( {10}^{8}  \times  {10}^{6} )

= 8.6 \times  {10}^{8 + 6}

=8.6 \times  {10}^{14}

6 0
2 years ago
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