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3 years ago

How many solutions can be found for the system of linear equations represented on the graph?

Mathematics

2 answers:

g100num [7]3 years ago

5 0

Answer:

A) no solution

Step-by-step explanation:

These lines are parallel. This means they never intersect; since the solution to a system of equations is the point or points of intersection, this means there is no solution to this system.

skelet666 [1.2K]3 years ago

3 0

Answer: A) no solution

Step-by-step explanation:

The equation of first line = $y=-\dfrac{1}{2}x+4$

which can be written as : $2y=-x+8$

$x+2y=8$

The equation of second line = $y=-\dfrac{1}{2}x-6$

which can be written as : $x+2y=-12$

Since , the ratio of the coefficients of x is equal to the ratio of the coefficients of y but not the ratio of the constants .

$\dfrac{1}{1}=\dfrac{2}{2}\neq\dfrac{8}{-12}$

Therefore , the lines are parallel and do not have any solution.

So , the correct answer is A) no solution.

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marusya05 [52]

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3 years ago

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qaws [65]

Step-by-step explanation:

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3 years ago

What is the equation of the line in slope-intercept form?

kolbaska11 [484]

Answer:

The equation of the line in the slope-intercept form will be:

y = -7x

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

From the attached graph, taking two points

(0, 0)

(-10, 70)

Finding the slope between (0, 0) and (-10, 70)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(-10,\:70\right)$

$m=\frac{70-0}{-10-0}$

$m=-7$

Determining the y-intercept:

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear that:

at x = 0, y = 0

Thus, the y-intercept b = 0

Now, substituting m = -7 and b = 0 in the slope-intercept form

y = mx+b

y = -7x + 0

y = -7x

Therefore, the the equation of the line in slope-intercept form will be:

y = -7x

7 0

3 years ago

The base radius of an ice cream cone is 3.5 cm and the slant height is 6.5 cm. What is the capacity of the ice cream cone and it

ella [17]

The formula of cone's capacity is V = (1 / 3) (pi x r x h)
we know that r = 3.5, we must find h, the slant height is H=6.5, applying pythagorean theorem h ^2 = H^2, so h= sqrt (H^2 - r^2)
h = sqrt (6.5^2 - 3.5^2) = 5.47
finally, V = (1 / 3) (3.14 x 3.5 x 5.47) = 20.03 cm^3
the surface are is A = pi x r x H = 71.43 cm^2

8 0

3 years ago

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