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4 years ago

Given that the value of b can never be equal to -1, determine if the equations are intersecting, parallel, or coincident.

Mathematics

1 answer:

eimsori [14]4 years ago

7 0

<h3>Answer: A) intersecting</h3>

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Work Shown:

Solve the first equation for y

x+y = ab

y = -x+ab

y = -1x + ab

slope = -1, y intercept = ab

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Solve for y in the second equation

bx - y = a

bx - y - a = 0

bx-a = y

y = bx - a

Slope = b, y intercept = -a

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The first equation has a slope of -1. The second equation has a slope of b.

Since b cannot equal -1, this means the two equations have different slopes. It is impossible for these two lines to be parallel, because parallel lines have equal slopes. The different slope values tell us the lines cross at exactly one point.

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I need help me out plz

Papessa [141]

Y=6x

Since she uses 6 beads per inch, you would just multiply 6 by the number of inches (x)

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4 years ago

How many real solutions if any, does 2x^2-3x+8=0

fenix001 [56]

Answer:

The quadratic equation $2\, x^{2} - 3\, x + 8 = 0$ has no real solution.

Step-by-step explanation:

Rewrite the quadratic equation $2\, x^{2} - 3\, x + 8 = 0$ in the standard form $a\, x^{2} + b\, x + c = 0$ :

$2\, x^{2} + (-3)\, x + 8 = 0$ , for which:

$a = 2$ .
$b = (-3)$ .
$c = 8$ .

The quadratic discriminant of $a\, x^{2} + b\, x + c = 0$ is $(b^{2} - 4\, a\, c)$ . The quadratic discriminant of $2\, x^{2} + (-3)\, x + 8 = 0$ would be:

$\begin{aligned}& b^{2} - 4\, a\, c \\ =\; & (-3)^{2} - 4 \times 2 \times 8 \\ =\; & (-55)\end{aligned}$ .

Since the quadratic discriminant of this equation is negative, this quadratic equation has no real solution.

3 0

2 years ago

What multiplies into 7 and adds up to -8

marshall27 [118]

What multiplies to 7 and adds up to -8?

What multiplies to 7?

1×7
and
-1×-7

Which of these add up to -8?

1+7=8 but not -8

-1+-7=-8 do this is right

A negative plus a negative will add up together since they are the same and make another negative number

Answer: -1 and -7 multiply to 7 and add up to -8

5 0

3 years ago

Hitman42 [59]

Answer:

L = 3(4) + 2(3) + 6

Step-by-step explanation:

.........

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3 years ago

A line with a slope of 1 passes through the point (3,-8). What is it's equation in slope-intercept form?

Nataly [62]

Answer: The equation would be y=1x-11

Step-by-step explanation:

slope of this line is 1

y=1x

3 times 1 = 3

to get from 3 to -8 we subtract 11

y=1x-11

3 0

4 years ago

Read 2 more answers