write the equation of a line that passes through the points (−3, 5) and (2, 10) in slope-intercept form

Answers

Answer 1
Answer:


Slope-intercept form         y = mx + b

                          where    m------> slope

                                         b-------> y-intercept

                                        m= (y1-y2)/(x1-x2)

                                        P1(-3,5)      (x1,y1)

                                        P2(2,10)      (x2,y2)

                                         m= (5-10)/(-3-2)

                                         m= (-5)/(-5)

                                         m=1

               Until now, the equation is y=mx+b

                                                        y=1.x+b

                                                        y=x+b

But, whe can plug  the point   P2(2,10) in y =x+b

                                                     10 =2 + b

                                                   10 - 2 = b

                                                           b= 8

Then, the equation is              y=mx+b

                                                y= x+8   <-------------------Solution

Verification                    P1(-3,5)       y = x+8        5=-3+8     Ok

                                      P2(2,10)      y = x +8      10 = 2+8   Ok

                    


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9 gal/s=______at/min

Answers

9 gal............................................................1second
?how many gallons......................................60 seconds(1min)

to find out you do 9*60=540 gallons per minute
9 gals/second
xgals/minute
1 minute=60 seconds
xgals/60 seconds=9gals/1 second
x/60=9/1
solve for x
x/60=9/1
x/60=9
multily both sides by 60 to clear fraciton
x times 60/60=9 times 60
x times 60/60=x times 1=x

x=540

the answer is 540 gallons per minute

Subtract 5X squared+2X -11 from 3X squared +8X -7

Answers

Subtraction of polynomials are done just as normal subtraction, but you can only subtract those with the same variables and exponents. This is shown below:

   3x^2 + 8x - 7
-  5x^2 + 2x - 11
----------------------
  -2x^2 + 6x + 4

Jessica is planting a garden. It has the shape of a right triangle. She wants 2 plants for each square yard of area. How many plants does she want in the​ garden?

Answers

Final answer:

In order to determine the number of plants needed for Jessica's garden, we would need to first calculate the area of the triangular garden and then multiply by 2 (since she wants 2 plants per square yard). Without specific dimensions of the garden, we can't provide a specific number.

Explanation:

The question is about calculating the number of plants Jessica needs for her right triangle garden. To solve this problem, we first need to know the dimensions of the garden to calculate its area. For a right triangle, the area is calculated as half of the product of the length and width (base and height). Let's assume the garden's dimensions are base b yards and height h yards. Thus, the area is 0.5*b*h square yards.

Given that Jessica wants 2 plants for each square yard, the number of plants she needs would be twice the area of the garden. So if the area is 'A', she will need 2*A plants. Without knowing the specific dimensions of the garden, this is the best estimates that we can provide.

Learn more about Area of a Triangle here:

brainly.com/question/27683633

#SPJ12

What is the vertex of the quadratic function f(x) = (x-2)(x-2)

Answers

Answer:

Hi,

Step-by-step explanation:

f(x)=(x-8)(x-2)=x^2-4x+16=x^2-4x+4+12=(x-2)^2+12\nVertex\ is \ (2,12)\n

f(x)=(x-2)(x-2)=(x-2)^2\nVertex\ is\ (2,0)\n

27/45=_/5?
2/6=_/3?jjjjjj

Answers

Answer:

27/45=3/5

2/6=1/3

Step-by-step explanation:

Which relation is a function?{(1, −1), (−2, 2), (−1, 2), (1, −2)}

{(1, 2), (2, 3), (3, 2), (2, 1)}​

{(1, 4), (2, 3), (3, 2), (4, 1)}

{(4, 2), (3, 3), (2, 4), (3, 2)}

Answers

Answer:

The answer to this question is B

Step-by-step explanation:

just believe