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3 years ago

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Polygon ABCD is dilated, rotated, and translated to form polygon A′B′C′D′. The endpoints of are at (0, -7) and (8, 8), and the e

ndpoints of are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?

2 answers:

Yuliya22 [10]3 years ago

6 0

Answer:

The answer is 1/2

Step-by-step explanation:

Alinara [238K]3 years ago

5 0

Answer:

1/2

Step-by-step explanation:

Plato. just had it

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an apple orchard sells apples in bags of 10 the arch sold a total of 2430 hours one day how many bags of apples was this

ser-zykov [4K]

What do you mean hours? you mean apples??
if apples you mean, the answer is 24300

3 0

3 years ago

Calculate the slope of a line with a run of 3 and a rise of 9.

Mrrafil [7]

Answer:

<u>Slope = 3</u>

Step-by-step explanation:

Slope is calculated as the "Rise/Run" of a straight line. The Rise is the change in the value of y, or the amount y changes per change in x. Run is the change in the x value. A line with a run of 3 and a rise of 9 is calculated as:

Rise/Run = 9/3 or 3

This means that the value of y will increase by 3 for every increase of 1 in the value of 3.

Slope in "m" in the slope-intercept form of a straight line equation: y = mx + b

The line y = 3x + 2 tells us the it has a slope of 3 and intercepts the y axis at x = 2.

Example points (y = 3x + 2)

(0,2)

(1,5)

(4,14)

Note that y changes by 12 when x changes by 4. Rise/Run = 12/4 or 3.

4 0

2 years ago

Find the indicated nth partial sum of the arithmetic sequence.<br> −7, −3, 1, 5, . . ., n = 30

TiliK225 [7]

Step-by-step explanation:

Given the Arithmetic sequence

$-7, -3, 1, 5, . . .$

An arithmetic sequence has a constant difference d and is defined by

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n$

$-3-\left(-7\right)=4,\:\quad \:1-\left(-3\right)=4$

$\mathrm{The\:difference\:between\:all\:of\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$d=4$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=-7$

as

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=4\left(n-1\right)-7$ ∵ $d=4$

$\mathrm{Arithmetic\:sequence\:sum\:formula:}$

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

$\mathrm{Plug\:in\:the\:values:}$

$n=30,\:\space a_1=-7,\:\spaced=4$

$=30\left(-7+\frac{4\left(30-1\right)}{2}\right)$

$=30\left(58-7\right)$ ∵ $\frac{4\left(30-1\right)}{2}=58$

$=30\cdot \:51$

$=1530$ ∵ $\mathrm{Multiply\:the\:numbers:}\:30\cdot \:51=1530$

Therefore, the indicated nth partial sum of the arithmetic sequence is 1530.

ANOTHER METHOD

as

$a_n=4\left(n-1\right)-7$

n = 30

$\sum _{n=1}^{30}\:4\left(n-1\right)-7$

$=\sum _{n=1}^{30}4n-11$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \sum a_n+b_n=\sum a_n+\sum b_n$

$=\sum _{n=1}^{30}4n-\sum _{n=1}^{30}11$

as

$\sum _{n=1}^{30}4n=1860$

and

$\sum _{n=1}^{30}11=330$

so

$=1860-330$

$=1530$

7 0

4 years ago

Can someone help me QUICK lol sorry!! B is the midpoint of AC. If AB=8x+2, and BC = 4x+18. Find AC

dalvyx [7]

Answer:

AC = 12x + 20

Step-by-step explanation:

Combine the terms:

AB + BC = AC

AB = 8x + 2

BC = 4x + 18

Plug in the corresponding terms to the corresponding variables:

(8x + 2) + (4x + 18) = AC

AC = 8x + 4x + 18 + 2

AC = 12x + 20

12x + 20 is your answer for AC.

~

4 0

3 years ago

Read 2 more answers

[{78 + (-13)} -8] · (-10) + 10

OlgaM077 [116]

Answer:

5210

Step-by-step explanation:

You start with everything in parentheses so it is 78+ (-13) first. then you multiply it by -8 after multiply again but by (-10) then add 10.

5 0

3 years ago