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vampirchik [111]
3 years ago
10

Triangle KLM was dilated according to the rule

Mathematics
2 answers:
Vsevolod [243]3 years ago
7 0

Answer:

Correct choices are A, B and D

Step-by-step explanation:

The rule DO,0.75 (x,y) is a dilation by a scale factor of 0.75 about the origin. This rule can be rewritten as

(x,y)→(0.75x,0.75y) (option A is true).

The dilation preserves parallel lines, then LM is parallel to L'M' (option B is true).

According to the rule of dilation, K'M'=0.75KM, this means that K'M' is shorter than KM (option C is false).

The vertices of the image are placed on the segments that connect origin with vertices of the pre-image triangle, then the vertices of the image are closer to the origin than those of the pre-image (option D is true).

The distance from M' to the origin is exactly 0.75 times the distance from M to the origin (option E is false).

MakcuM [25]3 years ago
4 0
The answer is
A. D<span>O, 0.75</span> (x,y) = (0.75x, 0.75y<span>)
B. </span>LM<span> is parallel to </span>L'M'<span>.
and C. </span><span>The vertices of the image are closer to the origin than those of the pre-image.</span>
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each classroom in willett hall will hold 34 students.There are 4 floors with 6 classroom on each floor. How many students can be
ozzi

4 floors with 6 class rooms each = 6*4 = 24 total class rooms.

24 class rooms x 34 students in each one = 816 total students.

4 0
3 years ago
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Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.
andrew-mc [135]

Answer:

<h2>\frac{1}{2}</h2>

Solution,

Let the points be A and B

A(-4 , 1)------>( X1, y1)

B(2,4)---------->( x2, y2)

Now,

Gradient:

\frac{y2 - y1}{x2 - x1}

\frac{4 - 1}{2 - ( - 4)}

\frac{3}{2 + 4}

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\frac{1}{2}

Hope this helps...

Good luck on your assignment...

3 0
3 years ago
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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C
butalik [34]

ANSWER

10C_5(2)^{5}( - 3)^5

EXPLANATION

The given binomial expansion is:

{(2x - 3y)}^{10}

Compare this to

{(a + b)}^{n}

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

{x}^{5}  {y}^{5}

This implies that, r=5.

The terms in the expansion can be obtained using

T_{r+1}=nC_ra^{n-r}b^r

We substitute the given values to obtain;

T_{5+1}=10C_5(2x)^{10-5}(  - 3y)^5

T_{6}=10C_5(2x)^{5}(3y)^5

T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

Hence the coefficient is;

10C_5(2)^{5}( - 3)^5

5 0
3 years ago
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Please please help me!!
Alona [7]

Answer:

g(x) = f(x+1) + 1

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Since the graph is only moved you don't have to worry about the slope.

To move the graph to the left you add to the x and in this case, it only moved 1 over.

to move the graph up you add to the whole function and in this case, it only moved up 1.

4 0
3 years ago
Hey can you please help me posted picture of question
GalinKa [24]
The given equation is:
 ax2 + bx + c = 0
 We have the resolvent is:
 x = (- b +/- root (b2 - 4ac)) / (2a)
 The discriminant is:
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 The solution will be:
 x = (- b) / (2a)
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 Answer:
 
option B
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3 years ago
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