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astraxan [27]
3 years ago
7

Write the equation of the line that passes through the points (-2, -3)

Mathematics
1 answer:
ikadub [295]3 years ago
5 0

Answer:

\huge\boxed{y+3=-(x+2)}\\or\\\boxed{y-3=-(x+8)}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m=\dfrac{y_2-y_1}{x_2-x_1}

Put the coordinates of the given point:

(-2, -3); (-8, 3)

m=\dfrac{3-(-3)}{-8-(-2)}=\dfrac{3+3}{-8+2}=\dfrac{6}{-6}=-1\\\\\text{for}\ (-2;\ -3)\\\\y-(-3)=-1(x-(-2))\\\\y+3=-(x+2)\\\\\text{for}\ (-8;\ 3)\\\\y-3=-1(x-(-8)\\\\y-3=-(x+8)

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The hypotenuse of a right triangle measures 15 cm and one of its legs
Kay [80]

Answer:

[see below]

Step-by-step explanation:

Use the Pythagorean Theorem.

a^2+b^2=c^2

'c' will be the hypotenuse.

The hypotenuse is 15 cm.  One of the legs is 5 cm.

5^2+b^2=15^2\\\\25 + b^2 = 225\\\\25-25+b^2=225-25\\\\b^2=200\\\\\sqrt{b^2}=\sqrt{200}\\\\  b=14.1421356237..., -14.1421356237

14.1421356237 ≈ 14.1

The other leg should be about 14.1 cm.

Hope this helps.

4 0
3 years ago
Read 2 more answers
I need these ASAP………..
RoseWind [281]

Step-by-step explanation:

1) 3x - 4 = 86 + 24

→ 3x - 4 = 110

→ 3x = 110 + 4 = 114

→ x = 114/3 = 38

therefore, value of x is 38.

2) -10x = 30 + 90

→ -10x = 120

→ x = 120/10 = 12

→ x = 12

therefore, value of x is 12.

3) -8x + 23 + 51 = 130

→ -8x + 74 = 130

→ -8x = 130 - 74

→ -8x = 56

→ x = 56/8

→ x = 7

therefore, value of x is 7.

4) -9 + 2x = 59 + 90

→ -9 + 2x = 149

→ 2x = 149 + 9

→ 2x = 158

→ x = 158/2 = 79

→ x = 79

therefore, value of x is 79.

hope this answer helps you dear...take care !

4 0
3 years ago
Answer before 1:00 i will mark you brainliest
Alecsey [184]

Answer:

the circumference of the circle= 36pi units  

Step-by-step explanation:


5 0
3 years ago
Marlene's taxable income is $95,000. Use this tax schedule to calculate the total amount she owes in taxes. $12,888.75
Ipatiy [6.2K]
Marlene owes a total of $20,710.75 in taxes.

If we are using the same tax schedule then $95,000 belongs to this bracket:
Over -        But not over -                                             of the excess over -
$77,100     but not over $160,850.. 15,698.75 plus 28%            77,100

Get the 28% of the difference between $95,000 and $77,100:
$95,000 - $77,100 = $17,900
$17,900 * .28 = $5,012

$15,698.75 + $5,012 = $20,710.75
8 0
4 years ago
A small company manufacturers a certain item and sells it online. The company has business model where the cost C, in dollars, t
Mars2501 [29]

Answer:

Step-by-step explanation:

We know that the break even point is the point where the cost and the revenue equations intersect.  So the break even point in this situation is:

C= R

<=> 20/3x+50 = 10x (with x > 0 and x is a whole number)

<=> 10x^{2} -50x -20 = 0

<=> x ≈ 5

If the company sells more than 5 items, it will have benefit

If the company sells less than 5 items, it will lose

8 0
3 years ago
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