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Goshia [24]
3 years ago
5

A straight line intersects the curved graph y=x^2-4x at the point where x=-1 and x=-2. Work out the equation of the straight lin

e.
Mathematics
2 answers:
mestny [16]3 years ago
7 0
Y = -7x - 2 Use the two points given to find the slope (m) m = (y2 - y1) / (x2 - x1) m = ( 12-5 ) / (-2 - (-1)) m = -7 Now we have y = -7x + b where 'b' is our y-intercept. We can solve for 'b' by choosing one of the (x,y) coordinate points and plugging them in. Let's choose the point (-1,5). Plug -1 in for 'x' and 5 in for 'y' and solve for 'b'. y = -7x + b 5 = -7(-1) + b b = -2 Final eqn: y = -7x - 2
Luba_88 [7]3 years ago
7 0
Where x=-1:
Y= (-1)^2 - 4(-1)
Y= 1 - -4
Y= 5

Where x=-2:
Y= (-2)^2 - 4(-2)
Y= 4 - - 8
Y= 12

Now we calculate the gradient/slope:

m= y2-y1/x2-x1
m= (12 - 5)/(-2 - -1)
m= 7/-1

Finally, the y-intercept:

y= -7x + c
Using any of the known points from earlier (-1,5) or (-2,12)
5= -7(-1) + c
5 -7 = (7 - 7) + c
-2 = c

The equation is y = -7x - 2
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A coin is thrown at random into the red triangle below.
Yakvenalex [24]

it is impossible

Step-by-step explanation:

8 0
3 years ago
Approximate the zeros of the function. Round to the nearest tenth if necessary. f(x) = 4x^2 + 4x - 35. Explain each step on how
svet-max [94.6K]
4x²+4x-35=0
factor: (2x+7)(2x-5)=0
2x+7=0, or 2x-5=0
2x=-7 or 2x=5
x=-3.5 or x=2.5

I don't see any rounding necessary in this case. 

when you factor ax²+bx+c, you take the two factors of a and the two factors of c, one factor of a times one factor of c, the other factor of a times the other factors, the sum of the two products make b.
in this case, the factors of 4 is 2 and 2, the factors of -35 is -5 and 7. I line them up in the following way:
2    -5

2      7
then I multiple them diagonally, the top left 2 multiplying the bottom right 7=14, and the other 2 multiplying -5=-10, 14 and -10 make a sum of 4.

if you don't get the desired sum, switch the factors up and down till you have the right combination. Note: Do not switch left and right. 

I hope this makes sense to you.
8 0
3 years ago
I dont understand this please help​
Alex787 [66]

Answer:

Its asking you which one is greater or less than. Hope this help?

Step-by-step explanation:

6 0
3 years ago
The diagram shows a circle with center C, a diameter RS, and an inscribed triangle RST.
snow_tiger [21]

Answer:

x = 26

Step-by-step explanation:

m<RTS = 4x - 14 (given)

Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)

Therefore,

4x - 14 = 90

4x - 14 + 14 = 90 + 14 (addition property of equality)

4x = 104

4x/4 = 104/4

x = 26

6 0
3 years ago
Can you help me solve this question ?
finlep [7]

Answer:

Can u show the whole question pleade

5 0
3 years ago
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