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3 years ago

Using the graph, determine the coordinates of the roots of the parabola.

Mathematics

1 answer:

Mazyrski [523]3 years ago

8 0

The roots are located at (2,0) and (4,0)

In short, the roots are x = 2 and x = 4

The term "x intercept" is another way of saying "root". Both describe the location where the graph crosses the x axis.

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A train travels 80 mph for 2 hours and then it travels 60 mph for 3 hours . What is its average speed over the entire 5-hour tri

boyakko [2]

Answer:

68 mph

Step-by-step explanation:

80 m/hr * 2 hr = 160 miles

60 m/hr * 3 hr = 180 miles

total miles / total time = average speed

340 miles / 5 hr = 68 m p h

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2 years ago

Arrange the pennies into a complete rectangular array and then into a different rectangular array that has a reminder of 1

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3 years ago

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3 years ago

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2 years ago

Indicate the equation of the given line in standard form. The line with slope 9/7 and containing the midpoint of the segment who

professor190 [17]

Given parameters:

Coordinates of end points = (2, -3) and (-6,5).

Slope of line = $\frac{9}{7}$

Unknown:

Equation of the line with the given slope = ?

Solution:

Let us find the coordinates of the mid-point of the line given.

Since the end points are (2, -3) and (-6,5);

Midpoint;

x, y = $\frac{x_{1} + x_{2} }{2}$ , $\frac{y_{1} + y_{2} }{2}$

x, y = $\frac{2 + (-6)}{2}$ , $\frac{-3 + 5}{2}$ = -2 , 1

The coordinate of the mid point = -2,1

Equation of a line is;

y = mx + c

x and y are the coordinates

m is the slope

c is the y intercept

We need to find c in order to fully develop our equation;

y = mx + c

y = 1 , x = -2 and m = $\frac{9}{7}$

So,

1 = $\frac{9}{7}$ x (-2) + c

c = 1 + $\frac{18}{7}$ = $\frac{25}{7}$

Now, the equation of the line is;

y = -2x + $\frac{25}{7}$

Multiply through by 7,

7y = -14x + 25

The equation of the line is 7y = -14x + 25

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3 years ago