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3 years ago

.Write the quadrants/axes in which the following points lie a) (2,-3) b)(0,8) c)(-1,-2) d)(4,7)

Mathematics

1 answer:

natka813 [3]3 years ago

5 0

Answer:

[see below]

Step-by-step explanation:

Quadrant One has a positive value for both x and y. (+ , +)

Quadrant Two has a negative x value. (- , +)

Quadrant Three has a negative value for both x and y. (- , -)

Quadrant Four has a negative y value. (+, -)

Therefore:

(2, -3) would be plotted in Q4. It does not lie on any axis.

(0, 8) would be on the positive y-axis. (0 is neither negative nor positive.)

(-1, -2) would be plotted in Q3. It does not lie on any axis.

(4, 7) would be plotted in Q1. It does not lie on any axis.

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Find the 62nd term of the following sequence:<br> (-21, – 27, - 33, - 39,...)

iris [78.8K]

Answer:

-387

Step-by-step explanation:

First term (T1) = -21 = a

second term (t2) = - 27

common difference (d) = t2 - t1 = - 27 + 21 = - 6

Now

Tn = a + ( n - 1) d

T62 = - 21 + ( 62 - 1 ) - 6

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3 years ago

Write the equation of a line perpendicular to y=3x-2 through the point (-5,8).

TEA [102]

Answer:

y=-1/3x +29/3

Step-by-step explanation

We know that the line perpendicular to a slope of 3 is it's opposite reciprocal. So the slope is -1/3. Substitute -5 as X and 8 as Y so you get:

8= -5/3x +b.

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3 years ago

Which of the following is the product of the rational expression shown below

wolverine [178]

Option C: $\frac{x^{2}-9}{x^{2}-4}$ is the product of the rational expression.

Explanation:

The given rational expression is $\frac{x+3}{x+2} \cdot \frac{x-3}{x-2}$

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

$\frac{(x+3)(x-3)}{(x+2)(x-2)}$

Let us use the identity $(a+b)(a-b)=a^2-b^2$ in the above expression.

Thus, we get;

$\frac{x^{2} -3^2}{x^{2} -2^2}$

Simplifying the terms, we get;

$\frac{x^{2}-9}{x^{2}-4}$

Thus, the product of the rational expression is $\frac{x^{2}-9}{x^{2}-4}$

Hence, Option C is the correct answer.

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