What is (2m+7)+(4d+6)

How many solutions are there to the system of equations graphed below if the lines are parallel?

damaskus [11]

Zero
C is the correct option.
Step-by-step explanation:
In the given graph, the given lines are parallel to each other and hence never intersect.
Now, we know that the intersection point (s) of two curves gives us the solution.
Here the lines are parallel to each other and hence do not intersect each other.
Thus, there would not be any intersection point.
Hence, the system of equations has no solution.
C is the correct option.

Hope this helps

MARK AS BRAINLY PLSSSD

3 0

3 years ago

Write an integer to describe the situation AND explain the meaning of zero. 35 FEET BELOW SEA LEVEL

Mashcka [7]

The answer is -35 because it says below sea level

3 0

3 years ago

A long jumper lifts off 3 m after starting his run, and lands 6 m later. When he is 8 m from the start line, he is 5 cm above an

slega [8]

Answer:

The equation of the parabola that models the path of the long jumper through the air is $y = -x^{2}+12\cdot x -27$ .

Step-by-step explanation:

Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Horizontal distance from the start line, measured in meters.

$y$ - Height of the long jumper, measured in meters.

$a$ , $b$ , $c$ - Polynomial constants, measured in $\frac{1}{m}$ , dimensionless and meters, respectively.

If we know that $(x_{1},y_{1}) = (3\,m, 0\,m)$ , $(x_{2},y_{2}) = (8\,m, 0.05\,m)$ and $(x_{3}, y_{3}) = (9\,m, 0\,m)$ , this system of linear equations is presented below:

$9\cdot a + 3\cdot b + c = 0$ (Eq. 1)

$81\cdot a + 9\cdot b + c = 0$ (Eq. 2)

$64\cdot a + 8\cdot b + c = 0.05$ (Eq. 3)

The coefficients of the polynomial are, respectively:

$a = -\frac{1}{100}$ , $b = \frac{3}{25}$ , $c = -\frac{27}{100}$

The equation of the parabola that models the path of the long jumper through the air is $y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}$ .

But we need $y$ measured in centimeters, then, we use the following conversion:

$y = 100\cdot y'$

Then, we get that:

$y = -x^{2}+12\cdot x -27$

Where $x$ and $y$ are measured in meters and centimeters, respectively.

The equation of the parabola that models the path of the long jumper through the air is $y = -x^{2}+12\cdot x -27$ .

4 0

3 years ago

Application: Dana is planning to ride her bicycle around the circular race track and wants to know the distance. If the diameter

LekaFEV [45]

Answer:

6.2831853071795864miles

~6.283

Step-by-step explanation:

Circumference of a circle=2πr

=2π×½×2mile

2×π×1mile

=6.2831853071795864miles

~6.283

Or, πd

=π×2miles

=6.2831853071795864miles

~6.283

5 0

3 years ago

Write an equation in slope-intercept form with the slope being -3 and y-intercept 1

Alex777 [14]

Answer:

y=-3x+1

Step-by-step explanation:

6 0

4 years ago