4 years ago

F(x) is a function true or false

Mathematics

1 answer:

TEA [102]4 years ago

6 0

Answer:

Depends on the x value

Step-by-step explanation:

f(x) can only be a function if the x values are not repeating.

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Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from

Lapatulllka [165]

<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$ </h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

$x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8$

The area of a triangle is= $\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]$

= $|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|$

= $|-54|$ = 54 square units

The length of AC = $\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}$

= $\sqrt{(2-12)^{2} +(1-8)^2}$

= $\sqrt{149}$ units

Let the perpendicular distance from B to AC be = x

According To Problem

$\frac{1}{2} \times x \times \sqrt{149} = 54$

⇔ $x =\frac{108}{\sqrt{149} }$ units

Therefore the perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$

5 0

3 years ago

Factor out the greatest common factor. <br><br> x^3-3x^2-x

Andrews [41]

Answer:

Factor out the greatest common factor.

x^3-3x^2-x

→ x(x^2-3x-1)

6 0

3 years ago

What is the quotient of 59,584 divided 14

eduard

Answer:

4256

Step-by-step explanation:

4 0

3 years ago

In a recent survey of 974 voters, 724 indicated that they were in favor of a new city park, while the other 250 voters said that

Lesechka [4]

10, 267

the fraction of voters opposed from the survey = $\frac{250}{974}$

Assuming this fraction as a basis then the predicted number against will be

40, 000 × $\frac{250}{974}$ = 10, 267 ( nearest while number )

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4 years ago

Subtract in simplest form 3/8. - 1/4

Fofino [41]

1/4 = 2/8... So:

3/8 - 2/8 = 1/8

5 0

3 years ago

Read 2 more answers