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2 years ago

Triangle KLM was dilated according to the rule

Mathematics

2 answers:

Anna35 [415]2 years ago

4 0

Answer:

The statement that is true is;

The vertices of the image are closer to the origin than those of the pre-image

Step-by-step explanation:

The dilation rule is 0.75(x,y)= (0.75x, 0.75y)

K (-4,4)----------( 0.75*-4,0.75*4)-------K' (-3,3)

L (2,4)-----------(0.75*2,0.75*4)---------L' (1.5,3)

M (-2,2)----------(0.75*-2,0.75*2)--------M' (-1.5,1.5)

geniusboy [140]2 years ago

3 0

Answer:

A, B, & D

Step-by-step explanation:

Took it on Ed, it's right.

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Find the line through

Kaylis [27]

Answer:

$(\frac{1}{2},\frac{-1}{2},\frac{1}{2})$

Step-by-step explanation:

We have been given the intersection coordinates:

(7,1,-6) and perpendicular to the line x=-1+t ,y=-2+t and z=-1+t

From the condition of perpendicularity we know:

$(7,1,-6)(x,y,z)$

$\Rightarrow 7x+y-6z=0$

Now, we have given x=-1+t , y=-2+t and z= -1+t

$7(-1+t)+(-2+t)-6(-1+t)=0$

$-7+7t-2+t+6-6t=0$

$\Rightarrow -3+2t=0$

$2t=3$

$t=\frac{3}{2}$

Now, substituting t in the given coordinates x,y and z we get:

$x=-1+\frac{3}{2}=\frac{1}{2}$

$y=-2+\frac{3}{2}=\frac{-1}{2}$

And $z=-1+\frac{3}{2}=\frac{1}{2}$

3 0

3 years ago

Read 2 more answers

the value of c guaranteed to exist by the Mean Value Theorem for V(x) = x² in the interval [0, 3] is...? a) 1 b) 2 c) 3/2 d) 1/2

lilavasa [31]

Answer: c) $\dfrac{3}{2}$ .

Step-by-step explanation:

Mean value theorem : If f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that

$\begin{displaymath}f'(c) = \frac{f(b) - f(a)}{b-a} \cdot\end{displaymath}$

Given function : $f(x) = x^2$

Interval : [0,3]

Then, by the mean value theorem, there is at least one number c in the interval (0,3) such that

$f'(c)=\dfrac{f(3)-f(0)}{3-0}\\\\=\dfrac{3^2-0^2}{3}=\dfrac{9}{3}\\\\=3$

$\Rightarrow\ f'(c)=3\ \ \ ...(i)$

Since $f'(x)=2x$

then, at x=c, $f'(c)=2c\ \ \ ...(ii)$

From (i) and (ii), we have

$2c=3\\\\\Rightarrow\ c=\dfrac{3}{2}$

Hence, the correct option is c) $\dfrac{3}{2}$ .

4 0

3 years ago

Last summer, KarlKarl went to the beach every 5 days. Antonia went to the beach every 3 days. How often did they see each other

Marina86 [1]

Do you need a fraction answer?

8 0

3 years ago

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An arts academy requires there to be 5 teachers for every 125 students and 4 tutors for every 88 students. How many students doe

nikitadnepr [17]

Answer:

25 students peer teacher, 22 students per tutor, 4 tutors for 81 students

Step-by-step explanation:

You need to find the unit rate,

for the teachers, to find the unit rate would be 125 divided by 5. For tutors it would be 88 divided by 4.

Then to find how many tutors you need for 81 students you would need 4 tutors because you want to divide 81 by the unit rate we got (22), and since the answer would be a decimal (3.68.....) you would need to round the whole number up to four because you cant have a decimal of a person.

3 0

3 years ago

Plz help I dont understand this

damaskus [11]

We can do this by following the order of operations procedure. PEMDAS.

= Parentheses Exponent Multiply Division Add Subtract

So in this case we work out the parentheses first , then the multiply:-

5(8 + 7)

= 5 * 15

= 75 (answer)

8 0

2 years ago

Read 2 more answers