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2 years ago

Find the equation of the straight line that passes through the points (1, 10) and (3, 2)

Mathematics

2 answers:

slava [35]2 years ago

8 0

Answer:

y = -4x+14

Step-by-step explanation:

First find the slope

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

m = (2-10)/(3-1)

=-8/2

= -4

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -4x+b

Substitute a point into the equation

10 = -4(1)+b

Add 4 to each side

14 = b

y = -4x+14

mylen [45]2 years ago

5 0

Answer:

y=-4x+14

Step-by-step explanation:

m=y1-y2/(x1-x2) and m= y-y1/x-x1

10-2/1-3=-4

m=-4 so -4=y-10/x-1

-4x+4=y-10

-4x+14=y

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The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat . Which of the following coul

sukhopar [10]

Answer:

f(x) = 3 $x^{2}$ + 2

Step-by-step explanation:

Given G(x) = $x^{2}$

As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)

=> f(x) = a $x^{2}$ + 2

As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3

and there is no reflection, so a= 3

=> the equation of f(x) is: f(x) = 3 $x^{2}$ + 2

5 0

3 years ago

Can i get the answer to this question please???? and fast

lord [1]

The triangle must be isosceles, due to the perpendicular bisector. Therefore, the expression 20 - 15 can be used to yield an answer of B. 5.

Hope this helps!

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3 years ago

What is the LCM of 6 and 18? A. 12 B. 36 C. 18 D. 6

Arisa [49]

The lcm of 6 and 18 is C.)18

8 0

3 years ago

Read 2 more answers

Assign two variables for each problem, and write the equations. Do not solve.

GalinKa [24]

Call the amount of pineapple "P', and the amount of gingerale "G".

We know that a mix of pineapple and gingerale makes 200 cups. So:
$P+G=200$

We also know that double the pineapple (i.e. 2P) and triple the gingerale (i.e. 3G) makes 420 cups. So:
$2P+3G=420$

We can now solve by substitution:
$2P+3(200-P)=420$
$2P+600-3P=420$
$-P=-180$
$P=180$

$180+G=200$
$G=20$

For 420 cups we need 2P=360 cups of pineapple and 3G=60 cups of gingerale]

3 0

2 years ago

Find the slope of the line going through the points (0, -5) and (-2,1)

kvasek [131]

Answer:

$\displaystyle m=-3$