Given the stated equation we know that that quadratic formula has 2 as its degree. This meats it has 2 roots. A linear equation has a degree of 1. A linear equation has 1 root. To know if they intersect, the must have one root in common. To know this, solve the two equation simultaneously. If they result to an answer then they intersect.

5 0

3 years ago

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How many ordered pairs do you need in order to use the Slope Formula?

Fantom [35]

You only need two separate ordered pairs for the slope formula

8 0

2 years ago

Question 14

Reil [10]

Answer:

The system of equations has a one unique solution

Step-by-step explanation:

To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:

1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or

2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or

3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)

So we write them in slope -intercept form:

First equation:

$6x+y=-1\\y=-6x-1$

second equation:

$-6x-4y=4\\-6x=4y+4\\-6x-4=4y\\y=-\frac{3}{2} x-1$

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.

6 0

3 years ago

(II) A baseball (m = 145 g) traveling 32 m????s moves a fielder’s glove backward 25 cm when the ball is caught. What was the ave

KengaRu [80]

Step-by-step explanation:

Below is an attachment containing the solution.

3 0

3 years ago