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Answer:

60 feets

Step-by-step explanation:

Given that :

Using Pythagoras rule :

Hypotenus = sqrt(Adjacent^2 + opposite^2)

From the attached picture :

x² = 87^2 - 63^2

x^2 = 7569 - 3969

X^2 = 3600

Take the square root of both sides :

X = sqrt(3600)

X = 60 feets

Hence, Katy and Tony are 60 feets apart

Answer:

x = 3

Step-by-step explanation:

Given the 2 equations

- 2x + y = 5 → (1)

- 5x + y = - 4 → (2)

Multiply (2) by - 1 then add to (1) to eliminate y

5x - y = 4 → (3)

Add (1) and (3) term by term to eliminate y

3x = 9 ( divide both sides by 3 )

x = 3

Answer:

a)y^3

o)7a^2

I know only that

Answer:

200 minutes / 3 hours & 20 minutes.

Step-by-step explanation:

This is quite simple.

First, since we know that Lola takes two 20 minute breaks at work each day, let's multiply 20 and 2.

20 × 2 = 40

This means she is on break for a total of 40 minutes each day.

Finally, let's take that 40 and multiply it by 5.

40 × 5 = 200

This means she spend 200 minutes (3 hours & 20 mins) on break each week.

Answer:

198.5886   or technically 198.58 or 198.59 because you can't have a decimal of a penny.

Step-by-step explanation:

One British pound was worth 1.5761 Canadian dollar, meaning that every pound needed is worth 126 Canadian dollar.

That means you can multiply 1.5761 by 126 to get the Canadian dollar price.

126 x 1.5761 = 198.5886

198.5886 is the Canadian price

Answer:

X=9

Step-by-step explanation:

X/ Y=X/Y

3/18=x/54

next is simple math

X=9

Answer:

[tex] \angle DEC [/tex]

Step-by-step explanation:

[tex] \red{\bold {\angle DEC}} [/tex] is supplementary to[tex] \angle DEA [/tex]

Answer:

Additive property of length

Step-by-step explanation:

Additive property of length

Answer:

y = 2x + 14

Step-by-step explanation:

Answer:

y = 2x + 14

Step-by-step explanation:

Use the slope equation:

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

[tex]m = \frac{6-(-2)}{-4-(-8)}\\m = \frac{8}{4}\\m = 2[/tex]

Next, find the y-intercept by subbing in one of the points and the slope into what you have so far in the equation:

(-8, -2)

y = mx + b

-2 = 2(-8) + b

-2 = -16 + b

-2 + 16 = b

b = 14

Now you have your final equation:

y = 2x + 14

Answer:

‍♂️ but if you know please answer

Answer:

12344567891011121314151617181920

Step-by-step explanation:

12344567891011121314151617181920

Step-by-step explanation:

Hey there!

f(x) = 7/x

~ Simply keep the "7" in the place where "x" is there.

[tex]f(7) = \frac{7}{7} [/tex]

Therefore, X= 1.

Hope it helps....

Answer:

After evaluating the function [tex]f(x)=\frac{x}{7}[/tex] by putting x = 7, we get f(7)= 1

Step-by-step explanation:

We need to evaluate the function [tex]f(x)=\frac{x}{7}[/tex] and find f(7)

For finding f(7) we will put x = 7 in the given function [tex]f(x)=\frac{x}{7}[/tex]

So, putting x= 7 and finding f(7)

[tex]f(x)=\frac{x}{7}\\Put\:x=7\\f(7)=\frac{7}{7}\\f(7)=1[/tex]

So, after evaluating the function [tex]f(x)=\frac{x}{7}[/tex] by putting x = 7, we get f(7)= 1

Answer:

B

Step-by-step explanation:

Since ∠ E = ∠ F then the triangle is isosceles and DF = DE, that is

6x = x + 2y ( subtract x from both sides )

5x = 2y ( subtract 2y from both sides )

5x - 2y = 0 → (1)

and perimeter = 29, that is

6x x + 2y + 5x - y = 29 , simplifying

12x + y = 29 → (2)

Multiply (2) by 2

24x + 2y = 58 → (3)

Add (1) and (3) term by term to eliminate y, that is

29x = 58 ( divide both sides by 29 )

x = 2

Substitute x = 2 into (2) and evaluate for y

12(2) + y = 29

24 + y = 29 ( subtract 24 from both sides )

y = 5

Thus

FE = 5x - y = 5(2) - 5 = 10 - 5 = 5 → B

Answer:

c

Step-by-step explanation:

I took the test and got it right

The correct equation that justifies why seven to the one-third power equals the cube root of seven is option C: [tex](7^{(1/3)})^3[/tex]=[tex]7^{(1/3 * 3)[/tex]=7.

C. Seven to the one-third power all raised to the third power equals seven to the one-third times three power equals seven.

Let's break down the steps:

Seven to the one-third power all raised to the third power:

[tex](7^{(1/3)})^3[/tex]

Using the property of exponents [tex](a^{(m*n)} = (a^m)^n)[/tex] to simplify:

[tex]7^{(1/3 * 3)[/tex]

The exponent 1/3 multiplied by 3 is equal to 1:

[tex]7^1[/tex]

Any number raised to the power of 1 is itself, so:

7

This justifies that [tex]7^{(1/3)[/tex] raised to the power of 3 is equal to 7.

Therefore, [tex]7^{(1/3)[/tex] is equal to the cube root of 7.

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Answer:

y=1

x=5/2

Step-by-step explanation:

4x-9y=1

(2x+y=-5)-2

4x-9y=1

-4x-2y=10

_________

-11y=11

y=-1

4x-9y=1

4x-9(1)=1

4x=10

x=10/4

x=5/2

Answer:

x<58 the< with line under    the pitcher can throw 58 or less pitches

Step-by-step explanation:

Answer:

The commission is $6335

Step-by-step explanation:

Step one:

given

The sale price of the house was $90,500

the commission is 7% of the sale price

Required

The amount of the commission

Step two:

the amount of the commission can be calculated as follows

[tex]=7/100*90500\\\\=0.07*90500\\\\=6335[/tex]

Answer:

It's an Equilateral triangle

Step-by-step explanation:

This is because of the fact that all of its sides are equal

Answer:

Equilateral Triangle

Step-by-step explanation:

All sides are equal (60 degrees) so it is an equilateral triangle

Answer:

81

Step-by-step explanation:

The value of f(1) for the recursive function is (d) 81

The recursive function is given as:

[tex]f(n + 1) = \frac 13f(n)[/tex]

Multiply both sides of the equation by 3

[tex]3f(n + 1) = f(n)[/tex]

Rewrite as:

[tex]f(n) = 3f(n + 1)[/tex]

Set n = 2;

[tex]f(2) = 3f(2 + 1)[/tex]

[tex]f(2) = 3f(3)[/tex]

Set n = 1 in [tex]f(n) = 3f(n + 1)[/tex]

[tex]f(1) = 3f(1 + 1)[/tex]

[tex]f(1) = 3f(2)[/tex]

Substitute [tex]f(2) = 3f(3)[/tex]

[tex]f(1) = 3 \times 3f(3)[/tex]

[tex]f(1) = 9f(3)[/tex]

Substitute 9 for f(3)

[tex]f(1) = 9 \times 9[/tex]

[tex]f(1) = 81[/tex]

Hence, the value of f(1) for the recursive function is (d) 81

Read more about recursive functions at:

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Answer:

40

Step-by-step explanation:

20% of 120 which is 24 are lions

half of the animals which is 120 ÷ 2 is 60 for the zebra

therefore, 60+24 is 84

120 - 84 is 36

Answer:

15 bundles of roofing shingles

Step-by-step explanation:

Total bundles of roofing shingles = 29

He carries two bundles at a time

How many bundles are still on the ground after his seventh trip up the ladder?

First trip = 2 bundles of roofing shingles

Second trip = 2 bundles of roofing shingles

Third trip = 2 bundles of roofing shingles

Fourth trip = 2 bundles of roofing shingles

Fifth trip = 2 bundles of roofing shingles

Sixth trip = 2 bundles of roofing shingles

Seventh trip = 2 bundles of roofing shingles

Total bundles of roofing shingles carried in 7 trips = 2 + 2 + 2 + 2 + 2 + 2 + 2

= 14 bundles of roofing shingles

Bundles still on ground after 7 trips = Total bundles of roofing shingles - Total bundles of roofing shingles carried in 7 trips

= 29 - 14

= 15 bundles of roofing shingles

Answer:

I think is D

Step-by-step explanation:

Answer:

[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

This can be written as the difference of 2 squares:

(a^4 - 8a^2b^2 + 16b^4) -81

= (a^2 - 4b^2)^2 - 81

=[(a^2 - 4b^2) + 9] [(a^2 - 4b^2) - 9]

= [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

The factorized form of the given expression will be as:

[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The expression is given in the question as:

(a⁴ - 8a²b² + 16b⁴) - 81

We have to determine the factorized form of the given expression

As per the given question, the required solution would be as:

(a⁴ - 8a²b² + 16b⁴) - 81

This can be written as the difference between 2 squares:

⇒ (a² - 4b²)² - 81

⇒ [(a - 4b²) + 9] [(a² - 4b²) - 9]

⇒ [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

Learn more about the Factorization here:

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Answer: Choice A) The value of s(x) depends on the value of x, since s is a function of x.

The outer letter s tells us what the function's name is. It's the dependent variable and it might be handy to tie it to the y variable. The x is the independent variable. It changes freely without relying on what s happens to be.

Answer:  A. The value of s(x) depends on the value of x, since s is a function of x.

Step-by-step explanation: s(x) is the output of the function when a given value of x is calculated according the operations in the function.

Answer:

true

Step-by-step explanation:

sec^4A-2tan^2Asec^2A+tan^4A=1

(sec^2A-tan^2A)^2=1

1^2=1

which is true

Answer:

1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

We will have 1 solution set when the lines cross once.

We will have no solutions when the lines are parallel.

We will have infinite solutions when the lines are the same.

According to the graph, we see that our lines only intersect once at 1 point. Therefore, there will be only 1 solution.

Answer:

1

Step-by-step explanation:

Answer:

sometimes

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

Assuming you require the equation of the line.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)

m = [tex]\frac{9-8}{10-8}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 8) , then

8 = 4 + c ⇒ c = 8 - 4 = 4

y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line