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zimovet [89]
3 years ago
15

write the equation in slope-intercept form of the line that has a slope of -3 and contains the point (4, -5).

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
3 0
You can answer this question by plugging the given values into point-slope form, which is y - y_{1} = m (x - x_{1}). M will represent slope and x_{1} and y_{1} will represent the x and y coordinates.

   y - y_{1} = m (x - x_{1})   Substitute in the values
y - (-5) = 4 (m - 4)   Cancel out the -(-5)
   y + 5 = 4 (m - 4)   Use the Distributive Property
   y + 5 = 4m - 16    Subtract 5 from both sides
       
         y = 4m - 21
 

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(60 points)
natka813 [3]

Answer:

<h2>2. D. 64</h2><h2>5. B. 1, -3/2</h2><h2>6. C. 0, 2</h2>

Step-by-step explanation:

2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56

5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}

6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}

8 0
3 years ago
The projected world population (in billions of people) t years after
MA_775_DIABLO [31]

Answer:

y = 5 e^r * t

Let y be the population in billions and t the value of elapsed years

7 =   5 e^r * t  is the equation being used where  t = 15

7/5 = e^r * t

ln 7/5 = r * t     taking ln of both sides

r = .336 / 15 = .0224

y = 5 e^(.0224 t)    is then our equation

Check  - suppose you want y at 2020

y = 5 e^(.0224 * 20)    would be the equation

y = 5 e^.449 = 7.83  billion - seems to be a reasonable answer

4 0
3 years ago
Read 2 more answers
Solve for r -4(r+6)= -49
tatiyna

Answer: r= 25/3

Step-by-step explanation:

r-4(r+6)=-49 distribute the 4

r-4r-24=-49 combine like terms

-3r-24=-49 add 24 to both sides

-3r=-25 divide by -3

r= 25/3 answer

7 0
4 years ago
The watch at Macys is $400. The store is having a sale and everything is 30% off. What is the final price of the watch?
Ivahew [28]

Answer:

The price of the watch is 280$

Step-by-step explanation:

We know that the original price is 400 dollers, and its on sale for 30%.

So we do 30% of 400 = 120$

finally we do, 400$ - 120$ = 280$

so the final price of the watch is 280$

hope this helps

5 0
3 years ago
Brainliest to who answers first!
alexdok [17]

Answer:

correct answers

15 m=1,500

117 mm=0.117 m

79 m=0.079 km

hope it helps

5 0
3 years ago
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