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3 years ago

What is the range of f(x) = 3x + 9?

Mathematics

2 answers:

Wittaler [7]3 years ago

8 0

Answer:

The answer is: {y|y>9}

ivann1987 [24]3 years ago

7 0

The range is the values of the output. Since there are no limits on the input, the output can be any value. The range is all real values (assuming we are not in complex math)

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Find the distance, c, between (–3, 4) and (2, –3) on the coordinate plane. Round to the nearest tenth if necessary.

andriy [413]

Using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.

<h3>What is the distance formula?</h3>

Distance formula for calculating the distance between two points on a coordinate plane is given as: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

Let,

(-3, 4) = (x1, y1)

(2, -3) = (x2, y2)

Plug in the values

$c = \sqrt{(2 - (-3))^2 + (-3 - 4)^2} \\\\c = \sqrt{74} \\\\$

c = 8.6 units.

Therefore, using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.

Learn more about distance formula on:

brainly.com/question/661229

5 0

2 years ago

Is this proportional or nonpoportional?

Romashka-Z-Leto [24]

No I don’t think so (&/&/ need extra characters)

6 0

3 years ago

The quadrilateral shown is rotated 90° clockwise about the origin. In which quadrant is the image of the quadrilateral located?

Viktor [21]

Answer:

Option (2). 1

Step-by-step explanation:

Coordinates of point A, B, C and D are,

A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).

Quadrilateral ABCD when rotated 90° clockwise about the origin,

Rule for the rotation of the vertices,

(x, y) → (y, -x)

Following the rule of rotation coordinates of the image points,

A(-4, 4) → A'(4, 4)

B(-2, 4) → B'(4, 2)

C(-2, 1) → C'(1, 2)

D(-4, 3) → D'(3, 4)

Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.

Option (2) is the correct option.

4 0

3 years ago

Find a Cartesian equation for the curve and identify it. r=8tanxsecx

ANTONII [103]

R = 8 tan(x) sec(x)

In order to solve this, we are going to use the following:
r = sqrt(x^2 + y^2) //but in this case, we don't need this.
tan(x) = Y / X
X = r cos(x)
Y = r sin(x)

<span>(r cos x)^2 = 8(r sin x)</span>

x^2 = 8y

3 0

3 years ago

Y is inversley proportionaly to x. when y=7, x=9

mrs_skeptik [129]

The equation is y = 63/x

And y = 3 when x=21

Step-by-step explanation:

When y varies inversely with x, The inverse proportion is given by:

y ∝1/x

When the proportionality symbol is removed, a constant of proportionality is introduced

$y = \frac{k}{x}$

Putting y = 7 and x = 9

$7 = \frac{k}{9}\\k = 9*7\\k = 63$

So,

$y = \frac{63}{x}$

Putting x =21

$y = \frac{63}{21}\\y = 3$

Hence,

The equation is y = 63/x

And y = 3 when x=21

Keywords: Proportion, variables

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8 0

3 years ago