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3 years ago

3. Determine the slope of the line that has the following coordinates: (-3, 6) (4,-2)

Mathematics

1 answer:

poizon [28]3 years ago

5 0

Answer:

-8/7

Step-by-step explanation:

(-3, 6) & (4,-2)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-2 - 6) / (4 - (-3))

Simplify the parentheses.

= (-2 - 6) / (4 + 3)

= -8 / 7

Simplify the fraction.

= -8/7

This is your slope.

Hope this helps!

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Solve the inequality 1/4c<4

Softa [21]

Answer:

Multiply each term by 4 and simplify.

Inequality Form:

c < 16

Interval Notation:

( − ∞ , 16 )

Step-by-step explanation:

3 0

3 years ago

We want to factor the following expression: (x 3)^2 14(x 3) 49(x 3) 2 14(x 3) 49(, x, plus, 3, ), squared, plus, 14, (, x, plus,

Nesterboy [21]

Answer:

$U = x$

$V=10$

Step-by-step explanation:

Given

$(x +3)^2 + 14(x + 3) + 49 = (U + V)^2$

Required

Find U and V

We have:

$(x +3)^2 + 14(x + 3) + 49 = (U + V)^2$

Expand

$x^2 + 6x + 9 + 14x + 42 + 49 = (U + V)^2$

Collect like terms

$x^2 + 6x + 14x + 9 + 42 + 49 = (U + V)^2$

$x^2 + 20x + 100 = (U + V)^2$

Expand

$x^2 + 10x + 10x + 100 = (U + V)^2$

Group

$[x^2 + 10x] + [10x + 100] = (U + V)^2$

Factorize each group

$x[x + 10] + 10[x + 10] = (U + V)^2$

Factor out x + 10

$[x + 10][x + 10] = (U + V)^2$

So, we have:

$[x + 10]^2 = (U + V)^2$

By comparison

$U = x$

$V=10$

7 0

3 years ago

If you roll a six-sided die, what is the probability of rolling a five or an even number? *

mars1129 [50]

Answer:

The probability would be a 4/6 or 66.67%

Step-by-step explanation:

All of the even numbers (and five) on a six sided die are 2, 4, 5, and 6.

That is four total numbers.

Also, since there are <em>six sides</em> on the cube, you would have a 4/6 chance or 66.67% chance of rolling a 2, 4, 5, or a 6.

Hope this helps!!!!!!

6 0

3 years ago

Exactly how do you figure out one step equations? We're learning about these in math now, and it's very difficult for me.

Eddi Din [679]

X/4=9
*4=9*4
x=36

Hope this helps!

4 0

3 years ago

The following trinomial is completely factored: 12x2 - 15x + 24

MakcuM [25]

No, the x in 12x2 and 15x could still be factored.

8 0

3 years ago

Read 2 more answers