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3 years ago

Which of the following is NOT a rational number?

Mathematics

1 answer:

scoray [572]3 years ago

5 0

I think it might be D

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If triangle ABC defined by the coordinates A(1,1), B(9,1), C(1,9) is dilated by a scale factor of 1/2

alukav5142 [94]

Answer:

The transformed points of the triangle ABC are $A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)$ , $B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)$ , $C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)$

Step-by-step explanation:

The new points after applying the scale factor are, respectively:

$A' (x,y) = \frac{1}{2}\cdot (1,1)$

$A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)$

$B' (x,y) = \frac{1}{2}\cdot (9,1)$

$B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)$

$C'(x,y) = \frac{1}{2}\cdot (1,9)$

$C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)$

7 0

3 years ago

If f(x) = 8x2-5, what is f(-1)

Nikolay [14]

Answer:3

Step-by-step explanation:

Simply plug in -1 for anywhere you see x in the equation so...

8(-1)^2-5

8(1)-5

8-5

Hope this helps

4 0

3 years ago

Read 2 more answers

If cosa=1/2(a+1/a), verify that. cos2a=1/2(a²+1/a²)

Alborosie

Answer:

see explanation

Step-by-step explanation:

using the identity

cos2a = 2cos²a - 1 , then

cos2a

= 2[ $\frac{1}{2}$ (a + $\frac{1}{a}$ ) ]² - 1

= 2 [ $\frac{1}{4}$ (a² + $\frac{1}{a^2}$ + 2) ] - 1

= $\frac{1}{2}$ (a² + $\frac{1}{a^2}$ ) + 1 - 1

= $\frac{1}{2}$ (a² + $\frac{1}{a^2}$ ) ← thus verified

3 0

2 years ago

Write an equation of the line in standard form with integer coefficients.<br> y = 1/2 x-2

hram777 [196]

Answer: -2/3

Step-by-step explanation:

7 0

3 years ago

6 + 3q + 4 = 31

Neporo4naja [7]

Answer:

q=7

Step-by-step explanation:

6+3q+4=31

10+3q=31

3q=31-10

3q=21

q=7

4 0

3 years ago