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3 years ago

Graph y+6=45(x+3) using the point and slope given in the equation

Mathematics

1 answer:

padilas [110]3 years ago

7 0

Answer:

Check attached graph of the line in picture

Step-by-step explanation:

We have been given an equation y+6=45(x+3) in point slope form.

It says to use the point and slope from given equation to create the graph.

So compare equation y+6=45(x+3) with point slope formula

y-y1=m(x-x1)

we see that m=45, x1=-3 and y1=-6

Hence first point is at (-3,-6)

slope m=45 is positive so to find another point, previous point will move 45 units up then 1 unit right and reach at the location (-2,39).

Now we just graph both points (-3,-6) and (-2,39) and join them by a straight line. Final graph will look like the line in attached graph.

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Gre4nikov [31]

Answer:

2 non real solutions.

Step-by-step explanation:

We need to use discriminant,

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The discriminat is b²-4ac

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→ equal to 0, then 1 real solutions

→ more than 0, then 2 real solutions

Given that,

7x²−4x+3=0

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A rock is thrown upward from a bridge that is 22 feet above a road. The rock reaches its maximum height above the road 0.69 seco

Flura [38]

Answer:

<u>f(t) = -7.561(t + 1.15)(t - 2.53)</u>

Explanation:

The<em> hint </em>is that the function f can be written in the form:

f(t) = c (t - t₁) (t - t₂)

It is a quadratic function, i.e. a parabola.

The maximum point, maximum height, of a parabola is its vertex.

And the x-coordinate of the vertex is at the midpoint between the two x-intercepts.

The time when the rock reaches the road is one x-intercept: t = 2.53 seconds: (2.53, 0).

The other x-intercept is sucht that (x + 2.53) / 2 = 0.69

(x + 2.53) / 2 = 0.69
x + 2.53 = 1.38
x = 1.38 - 2.53
x = -1.15

Thus, the equation is:

f(t) = c(t + 1.15) (t - 2.53).

You can find c by doing t = 0, because at t = 0 the height, f(t), is 22 feet:

f(0) = 22 = c (0 +1.15)(0 - 2.53)
22 = c(1.15)(-2.53)
22 = c (-2.9095)
c = - 22/(2.9095)
c = - 7.561

Then, the function can be written as:

f(t) = -7.561(t + 1.15) (t - 2.53) ← answer

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3 years ago

Graph ​ y+6=45(x+3) ​ using the point and slope given in the equation

Graph y+6=45(x+3) using the point and slope given in the equation