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4 years ago

Using the given scale factor and center dilate the following figures and state the new coordinates

Mathematics

1 answer:

dezoksy [38]4 years ago

3 0

Answer:

B' = (-8,-1) , C' = (4, 5)

Step-by-step explanation:

The coordinates of A are (-5,-7)

The coordinates of C are 3 units to the right and 4 up from A.

So for a dilation factor 3 C' will be 9 to the right and 12 up from A.

C' = (-5 + 9) , (-7 + 12)

= (4, 5).

The point B is 1 unit to left and 2 up from A.

So B' is (-5 -3) , (-7+ 6)

= (-8, -1).

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Log (w2+21) - log (10)

UNO [17]

Answer:

$w =7\ or\ w =3$

Step-by-step explanation:

Given

The right question is:

$\log(w^2+ 21) = \log(10w)$

Required

Solve for w

$\log(w^2+ 21) = \log(10w)$

Cancel log on both sides

$w^2+ 21 = 10w$

Equate to 0

$w^2 - 10w+ 21 = 0$

Split

$w^2 - 3w - 7w+ 21 = 0$

Factorize

$w(w - 3) - 7(w-3) = 0$

Factor out w - 3

$(w - 7)(w-3) = 0$

Solve for w

$w - 7 = 0\ and\ w - 3 = 0$

$w =7\ or\ w =3$

6 0

3 years ago

Tim says 1/8 of this model is shaded. Lucy says 8/8 of this model is shaded.

aniked [119]

Answer:

Step-by-step explanation: Lucy is correct because all of the squares are filled, and therefore instead of 1 square filled, 8 are, this is why lucy <em>is</em> correct :)

7 0

3 years ago

Read 2 more answers

-6x+6y=42<br> help me big test question

BabaBlast [244]

X= (-7,0)
Y= (0,7)
This is for graphing I hope that’s what your test is about.

6 0

3 years ago

Line AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (−1, 4). Lines AB and CD are

vlada-n [284]

Answer

Option (A) is correct .

Reason

The formula for the slope.

$Slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

As given

Line AB contains (0, 4) and (1, 6) .

put in the slope formula

$Slope = \frac{6 - 4}{1 - 0}$

$Slope = \frac{2}{1}$

Slope of the AB is 2.

As given

Line CD contains points (2, 10) and (−1, 4).

put in the slope formula

$Slope = \frac{4 - 10}{-1 -2}$

$Slope = \frac{-6}{-3}$

Slope = 2

Slope of the CD is 2.

As the slope of the AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (−1, 4) is 2 .

Therefore the option (A) is correct i.e the lines are parallel because the slopes are the same.

5 0

3 years ago

Read 2 more answers

IIULIVUT

Vladimir [108]

Given:

Investment (P) = $10000

Rate of interest (R) = 3.5%

Time (T) = 7 years

To find:

Amount in the account after 7 years

Solution:

Simple interest formula:

$$I=\frac{PRT}{100}$

$$I=\frac{10000\times3.5\times7}{100}$

$I= 2450$

Simple interest = $2450

Amount = Investment + Interest

= 10000 + 2450

= 12450

Therefore $12,450 will be in the account after 7 years.

3 0

3 years ago