PLEASE HELP 13 PTS

Determine the intercepts of the line.

Alina [70]

Answer:

x-intercept: (-250, 0)

y-intercept: (0, 100)

Step-by-step explanation:

Look for you the line intercepts the x-axis and y-axis. That's where the intercepts are located.

8 0

2 years ago

Read 2 more answers

a 20 ft piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. If the sh

oee [108]

Longer piece is 15 and shorter piece is 5

5 0

3 years ago

HELLLLPPPPPPPP PLEASEEEEEEEEE

tatyana61 [14]

Answer:

10.5

Step-by-step explanation:

$KET\cong KIT...... (given)$

$\therefore KE \cong KI.... (csct)$

$\therefore m(KE) =m(KI)$

$\therefore 10x-34= 4x + 29$

$\therefore 10x-4x= 34 + 29$

$\therefore 6x= 63$

$\therefore x=\frac{63}{6}$

$\therefore x=10.5$

4 0

3 years ago

Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha

Nookie1986 [14]

Answer:

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ . The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

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

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

If we know that $(3, -30)$ , $(-2, 0)$ and $(18, 0)$ are part of the parabola, the following linear system of equations is formed:

$9\cdot a +3\cdot b + c = -30$

$4\cdot a -2\cdot b +c = 0$

$324\cdot a +18\cdot b + c = 0$

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

$a = \frac{2}{5}$ , $b = -\frac{32}{5}$ , $c = -\frac{72}{5}$ .