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2 years ago

The points (3,9) and (-3,-9) lie in which quadrants?

Mathematics

2 answers:

Jet001 [13]2 years ago

7 0

Answer:

should be quadrant I and III

Step-by-step explanation:

Quadrant I is positive/positive

move counterclockwise

Quadrant III is negative/negative

kumpel [21]2 years ago

3 0

Answer:

Quadrant I and III

Step-by-step explanation:

The coordinate (3,9) is all positive, therefore it lies in quadrant I.

The coordinate (-3,-9) is all negative, therefore it lies in quadrant III.

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Find an equation of the plane consisting of all points that are equidistant from (-3, 5, -4) and (-5, 0, 4), and having -2 as th

Firdavs [7]

Answer:

-2x-5y+8z+4.5=0

Step-by-step explanation:

Let (x,y,z) be the coordinates of the point lying on the needed plane. This point is equidistant from the points (-3, 5, -4) and (-5, 0, 4), so

$d_1=\sqrt{(x-(-3))^2+(y-5)^2+(z-(-4))^2}=\sqrt{(x+3)^2+(y-5)^2+(z+4)^2}\\ \\d_2=\sqrt{(x-(-5))^2+(y-0)^2+(z-4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\d_1=d_2\Rightarrow \sqrt{(x+3)^2+(y-5)^2+(z+4)^2}=\sqrt{(x+5)^2+y^2+(z-4)^2}\\ \\(x+3)^2+(y-5)^2+(z+4)^2=(x+5)^2+y^2+(z-4)^2\\ \\x^2+6x+9+y^2-10y+25+z^2+8z+16=x^2+10x+25+y^2+z^2-8z+16\\ \\-4x-10y+16z+9=0\\ \\-2x-5y+8z+4.5=0$

5 0

2 years ago

Read 2 more answers

With reference to the figure match the angles and arcs to their measures

photoshop1234 [79]

Angle BAC = (180 - 114) degrees = 66 degrees [angle on a straight line]

Angle OCA = Angle OBA = 90 degrees    [angle at the point where the tangent and the radius meet]

Thus, the measure of arc BC = (360 - 66 - 90 - 90) degrees = 114 degrees [sum of interior angles of a quadrilateral]

Angle CDE = (180 - 124) degrees = 56 degrees [angle on a straight line]

Angle OCD = Angle OED = 90 degrees    [angle at the point where the tangent and the radius meet]

Thus, the measure of arc CE = (360 - 56 - 90 - 90) degrees = 124 degrees    [sum of interior angles of a quadrilateral]

Given that the measure of arc BC is 114 degrees and the measure of arc CE is 124 degrees, thus the measure of arc BE = (360 - 114 - 124) degrees = 122 degrees [angle at a point]

Angle OBF = Angle OEF = 90 degrees    [angle at the point where the tangent and the radius meet]

Thus, angle BFE = (360 - 122 - 90 - 90) degrees = 58 degrees.

5 0

2 years ago

Read 2 more answers

What is the solution to 2 log Subscript 9 Baseline (x) = log Subscript 9 Baseline 8 + log Subscript 9 Baseline (x minus 2) x = n

Kaylis [27]

Answer:

$\large\boxed{\large\boxed{x=4}}$

Step-by-step explanation:

The equation to solve is:

$2\log_9 x=\log_9 8+\log_9 (x-2)$

1. On the left-hand side use: "The product of a constant by a logarithm is equal to the logarithm raised to the constant"

Thus, the left-hand side is:

$2\log_9 x=\log_9 x^2$

2. On the right-hand side use "The sum of two logarithms with the same base is the logarithm of the product":

Then, on the right-hand side:

$\log_9 8+\log_9 (x-2)=\log_9 8(x-2)$

3. Make them equal:

$\log_9 x^2=\log_9 8(x-2)$

4. Since the two functions are the same, make the arguments equal:

$x^2=8(x-2)$

5. Solve the equation:

$x^2=8x-16\\\\x^2-8x+16=0\\\\(x-4)^2=0\\\\x-4=0\\\\x=4\leftarrow solution$

4 0

2 years ago

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Which sentence can represent the inequality One-half x + three-fourths greater-than-or-equal-to 5 and one-fourth?

hodyreva [135]

Answer:

The sum of half of a number and three-fourths is at least five and one quarter

Step-by-step explanation:

It's all about making sense of an English sentence.

"half the sum ..." is different from "the sum of half ..."

And ...

"at least" and "not less than" mean the same (≥)

"not more than" and "at most" mean the same (≤)

_____

Since all of the expressions are written out in words, it is a matter of matching the ideas expressed. That's a problem in reading comprehension, not math.

"One-half x + three-fourths [is] greater-than-or-equal-to 5 and one-fourth"

means the same as ...

"The sum of half of a number and three-fourths is at least five and one quarter"

6 0

2 years ago

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List the first five terms of the sequence. a1 = 4, an+1 = 5an − 3

RUDIKE [14]

The recursive formula

$a_{n+1} = 5a_n-3$