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3 years ago

A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x and y axes

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

5 0

Answer:

don't know but you try

Step-by-step explanation:

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Jorge has 10 apples and Stacy takes away 3 apples. How many apples does Jorge has less than Stacy?

marin [14]

Answer: 7

Step-by-step explanation:

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3 years ago

Help me pls!! Ill so grateful!! TYSM!

Alex17521 [72]

Answer:

Hey there!

We want to change the equation for each line into slope intercept form, or y=mx+b form.

Luckily, the first one is already in slope intercept form.

The second line can be converted to: y=-3/4x-7/4.

The third line can be converted to: -8y=-6x+4, or y=3/4x-1/2

Line one and line two are neither perpendicular or parallel.

Line one and line three are perpendicular.

Lines two and three are neither perpendicular or parallel.

This is because parallel lines have same slope, and perpendicular lines have opposite reciprocal slopes.

Hope this helps :)

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3 years ago

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How I can apply the distribute property to this question?

igor_vitrenko [27]

14 = 2•7 and 35 = 5•7, so the GCF of 14k and 35 is 7.

14k + 35 = 2•7k + 5•7 = 7 (2k + 5)

(Remember that the distributive property says a (b + c) = ab + ac.)

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2 years ago

Yasmin is the youngest of three siblings who ages are consecutive integers. If the sum of their ages is 57, find Yasmin's age. 1

V125BC [204]

Yasmin is 18 Years old

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2 years ago

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Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations

ivann1987 [24]

Aurora's plan is an illustration of a geometric sequence.

The recursive function is $T_n = 2 T_{n-1$ .
She will complete the 8th station in 512 minutes

From the question, we have:

$(x,y) = \{(1,4),(2,8),(3,16),(4,32)\}$

(a) The pattern model

To check if it represents an arithmetic sequence, we calculate the common difference between the y-coordinates

$d = 8 - 4 = 4$

$d = 16 - 8 = 8$

$d = 32 - 16 = 16$

The calculated differences are not the same;

This means that, the model is not arithmetic

To check if it represents a geometric sequence, we calculate the ratio between the y-coordinates

$r = \frac 84 = 2$

$r = \frac{16}8 = 2$

$r = \frac{32}{16} = 2$

The calculated ratios are the same;

This means that, the model is geometric

(b) The recursive function

The sequence is given as: $(x,y) = \{(1,4),(2,8),(3,16),(4,32)\}$

Where:

$T_1 = 4$

$T_2 = 8$

$T_3 = 16$

$T_4 = 32$

Rewrite as:

$T_1 = 4$

$T_2 = 2 \times 4$

$T_3 = 2 \times 8$

$T_4 = 2 \times 16$

Substitute $T_3 = 16$ in $T_4 = 2 \times 16$

$T_4 = 2 \times T_3$

Express 3 as 4 - 1

$T_4 = 2 \times T_{4-1$

Represent 4 as n

$T_n = 2 \times T_{n-1$

Hence, the recursive sequence is:

$T_n = 2 T_{n-1$

(c) The explicit formula

In (a), we have:

$r =2$

$T_1 = 4$

The nth term of a geometric sequence is:

$T_n = T_1 \times r^{n-1}$

So, we have:

$T_n = 4\times 2^{n-1}$

Express 4 as $2^2$

$T_n = 2^2\times 2^{n-1}$

Apply law of indices

$T_n = 2^{2+ n-1}$

$T_n = 2^{2-1+ n}$

$T_n = 2^{1+ n}$

So, the time to complete the 8th station is:

$T_8 = 2^{1+ 8}$

$T_8 = 2^{9$

$T_8 = 512$

Hence, she will complete the 8th station in 512 minutes

Read more about geometric sequence at:

brainly.com/question/11266123

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2 years ago

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