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2 years ago

Select the equation of the line that passes through the .5,7 and is perpendicular to the line x equals 4

1 answer:

8 0

Hello!

To be perpendicular to x = 4, the line must be y = something. This eliminates answer choices #2 and #4. Also, to pass through the point (.5, 7), the line must be y = 7.

So answer choice #3.

Hope this helps!! Let me know if you have ANY questions.

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A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

2 years ago

Help due soon find the area using 3.14 for π round to the nearest Hundredth if you have too

andrey2020 [161]

Answer:

Circumference is about 185.26 cm.

Area is about 2732.585 $cm^{2}$

Step-by-step explanation:

Circumference = 2πr

2 x 3.14 x 29.5 = 185.26

Area of a circle = π $r^{2}$

3.14 x 29.5 x 29.5 = 2732.585

7 0

3 years ago

Derek spends three dollars on breakfast and $5.50 on lunch every school day how much does he spend on breakfast and lunch in a s

maks197457 [2]

(3+5.50)5

8.50*5=42.5

Derek spends $42.50 each school week.

7 0

3 years ago

Read 2 more answers

Solve √(3x+7)+2√(x-8)=0.

laiz [17]

Answer:

The solution to this question is 39

Step-by-step explanation:

Given that :

√(3x+7)+2√(x-8)=0.

√(3x+7)=-2√(x-8) (i)

square of the equation (i)

Then

(√(3x+7))^2=(-2√(x-8))^2

we know that √a*√a=(√a)^2=a So,

(3x+7)=4(x-8)

3x+7=4x-32 //multiply by 4

32+7=4x-3x exchange the value.

39=1x

x=39.

4 0

2 years ago

Please help me by the way this is a 2 mark question from mathswatch

BigorU [14]

Answer:

y = - 13, y = 13

Step-by-step explanation:

Given

y² = 169 ( take the square root of both sides )

y = ± $\sqrt{169}$ = ± 13

Since 13 × 13 = 169 and - 13 × - 13 = 169

3 0

3 years ago