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2 years ago

I need help with this question for my 8th grade math test

Mathematics

1 answer:

bezimeni [28]2 years ago

3 0

Transforming the points involves changing their coordinates

The image of the points are: (3, 6), (-11, 12) and (-3, -12)

<h3>How to complete the transformations?</h3>

The coordinates of the points are given as:

X(2, 4)

Y(5,-3)

Z(-7, 1)

<u>a) Rotate the points 90 degrees clockwise</u>

The rule of this transformation is:

(x, y) to (y, -x)

So, we have:

X' = (4, -2)

Y' = (-3, -5)

Z' = (1, 7)

<u>b) Dilation by a scaling factor of 2</u>

The rule of this transformation is:

(x, y) to (2x, 2y)

So, we have:

X'' = (8, -4)

Y'' = (-6, -10)

Z'' = (2, 14)

<u>c) Reflect across the x-axis</u>

The rule of this transformation is:

(x, y) to (x, -y)

So, we have:

X''' = (8, 4)

Y''' = (-6, 10)

Z''' = (2, -14)

<u>d) Translation 2 Up and 5 to the Left</u>

The rule of this transformation is:

(x, y) to (x -5, y + 2)

So, we have:

X'''' = (3, 6)

Y'''' = (-11, 12)

Z'''' = (-3, -12)

Hence, the image of the points are: (3, 6), (-11, 12) and (-3, -12)

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Here's the question.

OleMash [197]

Answer:

The value of T₂₀ - T₁₅ is <u>-20</u>.

Step-by-step explanation:

<u>Given</u> :

>> If for an A.P, d = -4

<u>To</u><u> </u><u>Find</u> :

>> T₂₀ - T₁₅

<u>Using Formula</u> :

General term of an A.P.

$\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}$

>> Tₙ = nᵗʰ term
>> a = first term
>> n = no. of terms
>> d = common difference

<u>Solution</u> :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

${\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}$

${\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}$

${\dashrightarrow{\sf{ T_{20} = a + (19)d}}}$

${\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}$

${\dashrightarrow{\sf{ T_{20} = a + 19d}}}$

${\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}$

Hence, the value of T₂₀ is a + 19d.

$\rule{190}1$

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

${\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}$

${\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}$

${\dashrightarrow{\sf{ T_{15}= a + (14) d}}}$

${\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}$

${\dashrightarrow{\sf{ T_{15}= a + 14d}}}$

${\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}$

Hence, the value of T₁₅ is a + 14d

$\rule{190}1$

Now, finding the difference between T₂₀ - T₁₅ :

${\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}$

${\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}$

${\dashrightarrow{\sf{a + 19d - a - 14d}}}$

${\dashrightarrow{\sf{a - a + 19d - 14d}}}$

${\dashrightarrow{\sf{0+ 19d - 14d}}}$

${\dashrightarrow{\sf{19d - 14d}}}$

${\dashrightarrow{\sf{5 \times - 4}}}$

${\dashrightarrow{\sf{ - 20}}}$

${\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}$

Hence, the value of T₂₀ - T₁₅ is -20.

$\underline{\rule{220pt}{3.5pt}}$

3 0

3 years ago

Give the “best” big-oh notation to describe the complexity of the algorithm that prints all bit strings of length n.

artcher [175]

It is correct to state that a bit can be in one of 2 states, either 1 or 0.

A bit is is a single binary digit. A bit can either be "1" or "0".

<h3>What is the explanation to the above answer?</h3>

We stated that It is correct to indicate that a bit can be in one of 2 states, either 1 or 0. This indicates that 2ⁿ strings must be created in total. The string must then be processed twice.

The first time, for generation and
The second for reading.

Hence, Our time is now O(2ⁿ⁺¹) = O(2ⁿ)

Learn more about bits at;
brainly.com/question/2263640
#SPJ1

4 0

2 years ago

What is 20 5/81 in simplest form

Marizza181 [45]

20 5/81 in its simplest form is 20 5/81.

20 5/81 originally looks like this ⇒ 1625/81

((20 * 81)+5)/81 = (1620+5)/81 = 1625/81 * this is an improper fraction because the numerator is greater than the denominator. Improper fractions must be converted to proper fractions. It will then become a mixed fraction.

<u> 0020 5/81</u>
81 | 1625
<u>162 </u> * 81 x 2
05

5 0

3 years ago

Please help i will igve brainliest

adelina 88 [10]

3. you cannot simplify √30

4 0

3 years ago

Question

nika2105 [10]

Answer:

y = -1

Step-by-step explanation:

(y+1)/(x-8) = (-1+1)/(-2-8)

(y+1)/(x-8) = 0

y+1 =0

y= -1

8 0

3 years ago