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vampirchik [111]
3 years ago
10

Using a Graph to Understand a Linear Function

Mathematics
1 answer:
My name is Ann [436]3 years ago
5 0

Answer:

The tree was 40 in tall when planted

The tree's growth rate is 10in per year

Ten years after Planting, it is 140 inches tall

Step-by-step explanation:

original(slope intercept form) : y = 10x + 40

y = 10(10) + 40

y = 100 + 40

y = 40

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Graph the image of the given triangle under a dilation with a scale factor of –4 and center of dilation (0,0).
Dvinal [7]

Step-by-step explanation:

Hey there!

The coordinates of a triangle are;

  • A (1,2)
  • B (1,-2)
  • C (-2,-2)
  • Scale factor = -4 and centre at (0,0)

Now, We have;

P(x,y)----------- P'(kx, ky)

<u>Keep</u><u> </u><u>formula</u><u>;</u>

<u>A</u><u>(</u><u>1</u><u>,</u><u>2</u><u>)</u><u>----------</u><u> </u><u>A'</u><u>(</u><u>-4</u><u>×</u><u>1</u><u> </u><u>,</u><u>-4</u><u>×</u><u>2</u><u>)</u>

= A'(-4, -8)

B(1,-2)------------- B'(-4,8)

C(-2,-2)-------------C'(8,8)

[ <u>The</u><u> </u><u>A'</u><u> </u><u>should</u><u> </u><u>be</u><u> </u><u>kept</u><u> </u><u>in</u><u> </u><u>(</u><u>-4</u><u>,</u><u>-</u><u>8</u><u>)</u><u>.</u><u> </u><u>There</u><u> </u><u>was</u><u> </u><u>no</u><u> </u><u>place</u><u> </u><u>in</u><u> </u><u>this</u><u> </u><u>graph</u><u> </u><u>so</u><u>,</u><u> </u><u>i</u><u> </u><u>kept</u><u> </u><u>it</u><u> </u><u>just</u><u> </u><u>below</u><u> </u><u>-7</u><u>.</u><u> </u><u>Please</u><u> </u><u>while</u><u> </u><u>plotting</u><u> </u><u>remember</u><u> </u><u>to</u><u> </u><u>keep</u><u> </u><u>it</u><u> </u><u>on</u><u> </u><u>"</u><u>-8"</u><u>.</u><u>]</u>

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
4 years ago
Your making a mosaic design on a square table top. You have already covered half of the table top with 150 1-inch square tile pi
Luden [163]
Since this table top is a square, we would expect it to have the same sides. So if your halfway, we can add another 150 1-inch square tile pieces, which makes it 300 inches (150 + 150 = 300; then multiplied by 1 inch).

(a) The dimension can be described using length and width values. So, its dimension is 300 x 300 inches.

(b) The diagonal from one corner to the opposite corner is calculated using the formula: d= √2a, where a represents the measurement of 1 side. Using the values and formula, the diagonal therefore measures 424.26 inches.
7 0
3 years ago
Please answer for 20
zubka84 [21]

Answer:

Step-by-step explanation:

im on the same one

sorry i couldent help

6 0
3 years ago
A car valued at £18000 at the start of 2017, depreciated in value by 5% each year for 3 years. How much did it lose in value ove
Anna11 [10]

<u>Answer:</u>

The amount lost over the 3 years s 2567.25£  

<u>Explanation:</u>

$\mathrm{F}=\mathrm{I} \times\left(1-\left(\frac{r}{100}\right)\right)^{\mathrm{n}}$

where F = final value after n years

I = initial value of the car in 2017 = £18000 (given)

Since the value is depreciated 5% every year for 3 years,

r = percentage rate of depreciation = 5% (given)

n = 3 years

Substituting these values in formula, we get

$\mathrm{F}=18000 \times\left(1-\frac{5}{100}\right)^{3}$

= $18000 \times\left(\frac{95}{100}\right)^{3}$

 = 15432.75£ which is the value of the car after 3 years

Finally 18000-15432.75 = 2567.25£ is the amount lost over this period.  

6 0
3 years ago
What’s the answer to this parallel line?
Nataly_w [17]

Answer:

7x + 6y = 24

Step-by-step explanation:

y = -7/6x - 3

Standard form: Ax + By = C

7x + 6y = -18

Since it's parallel, Ax and By have to be the same

The only choice is

7x + 6y = 24

8 0
3 years ago
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