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Harlamova29_29 [7]

3 years ago

11

The original vertices of a quadrilateral are (-2,3), (4,6), (4,2), and (3, -2). After a transformation, the new coordinates are

(-1,1.5), (2,3),(2,1), and (1.5,-1). Are the two images similar?

1 answer:

sukhopar [10]3 years ago

7 0

-2 3 -3 2 are the similar common

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Directed line segment has endpoints P(– 8, – 4) and Q(4, 12). Determine the point that partitions the directed line segment in a

larisa86 [58]

Answer:

Point (1,8)

Step-by-step explanation:

We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.

When a point divides any segment internally in the ratio m:n, the formula is:

$[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]$

Let us substitute coordinates of point P and Q as:

$x_1=-8$ ,

$y_1=-4$

$x_2=4$

$y_2=12$

$m=3$

$n=1$

$[x=\frac{(3*4)+(1*-8)}{3+1},y=\frac{(3*12)+(1*-4)}{3+1}]$

$[x=\frac{12-8}{4},y=\frac{36-4}{4}]$

$[x=\frac{4}{4},y=\frac{32}{4}]$

$[x=1,y=8]$

Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.

7 0

3 years ago

Simplify (34)−1.

elena55 [62]

The simplified form of the expression; (3/4)-¹ as given in the task content is; 4/3.

<h3>What is the simplified form of the expression as given in the task content?</h3>

It follows from the task content that the expression in discuss can be simplified as follows by the laws of indices;

(3/4)-¹

Hence, due to negative exponent, the result is;

= 1 ÷ (3/4)¹

= 1 × (4/3)

= 4/3.

Read more on indices;

brainly.com/question/170984

#SPJ1

6 0

2 years ago

a shopkeeper sold a certain number ( a two-digit number)of toys all priced at a certain value (also a two-digit number when expr

Makovka662 [10]

The answer is 91 toys sold, make the number ab where a is the 10th digit and b is the first digit. The value is 10a + b that can expressed as 10 (3) + 4 = 34

Let the price of each item: xy

10x + y

He accidentally reversed the digits to: 10b + a toys sold at 10y + x rupees per toy. To get use the formula, he sold 10a + b toys but thought he sold 10b + a toys. The number of toys that he thought he left over was 72 items more than the actual amount of toys left over. So he sold 72 more toys than he thought:

10a + b =10b + a +72

9a = 9b + 72

a = b + 8

The only numbers that could work are a = 9 and b = 1 since a and b each have to be 1 digit numbers. He reversed the digits and thought he sold 19 toys. So the actual number of toys sold was 10a + b = 10 (9) + 1 = 91 toys sold. By checking, he sold 91 – 19 = 72 toys more than the amount that he though the sold. As a result, the number of toys he thought he left over was 72 more than the actual amount left over as was stated in the question.

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3 0

3 years ago

Rule for raising a power to a new power

KiRa [710]

The practical rule would be, times that number, by the result of the first time you multiplied the first number. But, it would all depend by how much your're raising the number by.

<u>For example:</u> $\boxed{4^6}$

We do, $(4*4*4*4*4*4)= \boxed{\bf{4^6}}= 4096$

But, once again, this was an example. This would show and illustrate the rule of "raising a power".<span />

5 0

4 years ago

perform the translation of triangle ABC according to the vector DR. Find the coordinates of the image.

belka [17]

I think that the answer for that one is A

5 0

3 years ago