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3 years ago

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The vertices of a polygon ABCD is A (1, 2), B (1,4), C(2,6), and D (5, 4). The polygon is dilated by a scale factor 3. Find the

1 answer:

Pachacha [2.7K]3 years ago

3 0

(1,2) times 3 is (3,6)
(1,4) times 3 is (3,12)
(2,6) times 3 is (6,18)
(5,4) times 3 is (15,12)

The coordinates are (3,6) (3,12) (6,18) (15,12).

Hope this helps!

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Add and simplify

Tanya [424]

Answer:

Your 1st answer is correct

Step-by-step explanation:

$\frac{1}{(x - 1)} - \frac{3}{(1 - x)} + 2$

$\frac{1}{(x - 1)} - \frac{3}{ - (x - 1)} + 2$

$\frac{1}{(x - 1)} + \frac{3}{(x - 1)} + 2$

$\frac{4}{(x - 1)} + 2$

$\frac{4 + 2(x - 1)}{x - 1}$

$\frac{4 + 2x - 2}{x - 1}$

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

$= \frac{2(x + 1)}{x - 1}$

6 0

2 years ago

Round 49.87654321 to the nearest tenth

schepotkina [342]

49.9 is the answer
hope it helps ya :D

8 0

3 years ago

One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p

scZoUnD [109]

Answer:

$c^2 = 9dp$

Step-by-step explanation:

Given

$dx^2 + cx + p = 0$

Let the roots be $\alpha$ and $\beta$

So:

$\alpha = 2\beta$

Required

Determine the relationship between d, c and p

$dx^2 + cx + p = 0$

Divide through by d

$\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0$

$x^2 + \frac{c}{d}x + \frac{p}{d} = 0$

A quadratic equation has the form:

$x^2 - (\alpha + \beta)x + \alpha \beta = 0$

So:

$x^2 - (2\beta+ \beta)x + \beta*\beta = 0$

$x^2 - (3\beta)x + \beta^2 = 0$

So, we have:

$\frac{c}{d} = -3\beta$ -- (1)

and

$\frac{p}{d} = \beta^2$ -- (2)

Make $\beta$ the subject in (1)

$\frac{c}{d} = -3\beta$

$\beta = -\frac{c}{3d}$

Substitute $\beta = -\frac{c}{3d}$ in (2)

$\frac{p}{d} = (-\frac{c}{3d})^2$

$\frac{p}{d} = \frac{c^2}{9d^2}$

Multiply both sides by d

$d * \frac{p}{d} = \frac{c^2}{9d^2}*d$

$p = \frac{c^2}{9d}$

Cross Multiply

$9dp = c^2$

or

$c^2 = 9dp$

Hence, the relationship between d, c and p is: $c^2 = 9dp$

8 0

3 years ago

Maria put 18 crayons in 3 different baskets. She put the same number of crayons in each basket. How many crayons did Maria put i

allochka39001 [22]

54 i believe

explanation: if you put 18 crayons in 3 baskets each it’s gotta b 54

4 0

4 years ago

Read 2 more answers

answer as a mixed number if possible. A bowl of cereal had 3 3/6 grams of sugar in it. If Victor ate 2 bowl8a week, how many gra

GrogVix [38]

<em>7 grams of sugar</em>

<h2>Explanation:</h2>

________________________________________

I'll assume your answer is as follows:

<em>A bowl of cereal had 3 3/6 grams of sugar in it. If Victor ate 2 bowl a week, how many grams of sugar would he have eaten?</em>

________________________________________

If so, then we know that:

A bowl of cereal had 3 3/6 grams of sugar in it.

Victor ate 2 bowl a week

In other words, the total of sugar he ate can be calculated as:

$3\frac{3}{6}\times2 \\ \\ Converting \ mixed \ fraction \ into \ improper \ fraction: \\ \\ =(3+\frac{3}{6})\times2 \\ \\ =(\frac{3(6)+3}{6})\times 2 \\ \\ =(\frac{21}{6})\times 2 \\ \\ =(\frac{7}{2})\times 2 \\ \\ =7$

So <em>he'd have eaten 7 grams of sugar</em>

<h2>Learn more:</h2>

Mixed numbers: brainly.com/question/383603

#LearnWithBrainly

7 0

3 years ago