Help on this please show my work ?

Help me please, this is really hard.

Snowcat [4.5K]

The points of new triangle is (3,-2), (6,-3) and (2,-5).

<u>Step-by-step explanation:</u>

The given points in the triangle A(-3,7), B(9,3) and C(-7,-5).

The scale factor is $\frac{1}{4}$ and centered at point (5,-5).

The formula to dilate a point that is not centered on a origin is given by,

D(x,y)=(h+t(x-h),k+t(y-t)).

where (h,k) is the center point.

To find A',

$D(-3,7)=(5+\frac{1}{4}(-3-5),-5+\frac{1}{4}(7+5)).$

$D(-3,7)=(5+\frac{1}{4}(-8),-5+\frac{1}{4}(12)).$

D(-3,7)=(5-2, -5+3).

D(-3,7)=(3,-2).

To find B',

$D(9,3)=(5+\frac{1}{4}(9-5),-5+\frac{1}{4}(3+5)).$

$D(9,3)=(5+\frac{1}{4}(4),-5+\frac{1}{4}(8)).$

D(9,3) = (5+1,-5+2).

D(9.3)=(6,-3).

To find C',

$D(-7,-5)=(5+\frac{1}{4}(-7-5),-5+\frac{1}{4}(-5+5)).$

$D(-7,-5)=(5+\frac{1}{4}(-12),-5+\frac{1}{4}(0)).$

D(-7,-5)=(5-3,-5+0).

D(-7,-5)=(2,-5).

∴ The points of new triangle is (3,-2), (6,-3) and (2,-5).

8 0

3 years ago

What is the first four terms in the multiplication or ,geometric , pattern in which the first term is 2 and then each term is mu

kirza4 [7]

Answer:

Sequence will be 2, 14, 98, 686.

Step-by-step explanation:

Since we know in an geometric sequence the terms are in the form are

$T_{n}=a(r)^{n-1}$ in which

a = first term

r = common ratio

n = number of term

Now from this expression we can all terms of the sequence

in which a = 2 and common ratio r = 7

The sequence will be

$2, 2.(7), 2.(7)^{2},2.(7)^{3}$

Or 2, 14, 98, 686

So the answer is 2, 14, 98, 686.

7 0

4 years ago

Is 336 inches bigger than 18 ft

Kobotan [32]

1 foot is 12 inches
336/12=28
yes it is bigger

3 0

3 years ago

Read 2 more answers

A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and

disa [49]

Answer:

$z =\frac{50-64}{7}= -2$

$z =\frac{43-64}{7}= -3$

We know that within two deviations from the mean we have 95% of the data from the empirical rule so then below 2 deviation from the mean we have (100-95)/2 % =2.5%. And within 3 deviations from the mean we have 99.7% of the data so then below 3 deviations from the mean we have (100-99.7)/2% =0.15%

And then the final answer for this case would be:

$2.5 -0.15 = 2.35\%$

Step-by-step explanation:

For this case we have the following parameters from the variable number of motnhs in service for the fleet of cars

$\mu = 64, \sigma =7$

For this case we want to find the percentage of values between :

$P(43< X< 50)$

And we can use the z score formula given by:

$z = \frac{X-\mu}{\sigma}$

In order to calculate how many deviation we are within from the mean. Using this formula for the limits we got:

$z =\frac{50-64}{7}= -2$

$z =\frac{43-64}{7}= -3$

We know that within two deviations from the mean we have 95% of the data from the empirical rule so then below 2 deviation from the mean we have (100-95)/2 % =2.5%. And within 3 deviations from the mean we have 99.7% of the data so then below 3 deviations from the mean we have (100-99.7)/2% =0.15%

And then the final answer for this case would be:

$2.5 -0.15 = 2.35\%$

3 0

3 years ago

What is the volume of a triangular prism whose triangular face has a base of 15 in., height of 3 in., and the height of the pris

ale4655 [162]

We know that

[volume of the triangular prism]=[area of the base]*height

area of the base=15*3/2-----> 22.5 in²
height of the prism=16 in
so
[volume of the triangular prism]=[22.5]*16------> 360 in³

the answer is
the volume of the triangular prism is 360 in³

8 0

3 years ago