If the terminal point of ø is (1,0), what is tan ø?

Answer:

x =5

Step-by-step explanation:

2x+x-5 =x+5

Combine like terms

3x - 5 = x+5

Subtract x from each side

3x-x-5 = x+5-x

2x -5 =5

Add 5 to each side

2x-5+5 = 5+5

2x = 10

Divide by 2

2x/2 = 10/2

x =5

Answer:

x = 5

Step-by-step explanation:

2x + x - 5 = x + 5

combine like term

3 x - 5 = x + 5

subtract x from 3x

3x - x - 5 = 5

2x - 5 = 5

add 5 to 5 , we get

2x = 5 + 5

2x = 10

divide ➗ 10 by 2

x = 10/ 2

x = 5

The value of a₄ is -9

Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.

In this given problem

a₁ = 5

given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7

using this relation

take n=1

a₂ = 2a₁-7 =(2*5)-7=3

then by taking n=2

a₃ = 2a₂-7 =(2*3)-7=-1

then taking n=3

a₄= 2a₃-7 =(2*(-1))-7= -9

so the final answer will be a₄ = -9

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Answer:

option A

Step-by-step explanation:

The line splits the triangle ABC into two triangles with same base length.

Therefore ,

[tex]Area \ of \ ABC = Area \ of \ ABD + Area \ of \ CBD\\\\[/tex]

                   [tex]= (\frac{1}{2} \times base \times height) + (\frac{1}{2} \times base \times height)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times CD \times BD)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times AD \times BD)[/tex][tex][ \ Given : AD = \ CD \ ][/tex]

                   [tex]= 2 \times (\frac{1}{2} \times AD \times BD)\\\\= 2 \times Area \ of \ ABD[/tex]

Answer:

FIRST ANGLE = 21 degree

SECOND ANGLE = 119 degree

Step-by-step explanation:

140 = 6x - 7 + x

140 = 7x - 7

combine like terms

140 + 7 = 7x

147 = 7x

x = 21

second angle = 6(21) - 7 = 119

Answer:

Domain: x is greater than or equal to 0

Range: y is greater than or equal to -5

So the answer for domain is e.

And the answer for range is a.

Answer:

1.5 square miles

Step-by-step explanation:

First divide 1 by 0.5 which is 2. that means you also divide 3 by 2 which is 1.5.

Answer:

(x + 5)² + (y - 4)² = 17

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 5, 4 ) , then

(x - (- 5) )² + (y - 4)² = r² , that is

(x + 5)² + (y - 4)² = r²

r is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (- 1, 5)

r = [tex]\sqrt{(-1+5)^2+(5-4)^2}[/tex]

  = [tex]\sqrt{4^2+1^2}[/tex]

  = [tex]\sqrt{16+1}[/tex]

  = [tex]\sqrt{17}[/tex] ⇒ r² = ([tex]\sqrt{17}[/tex] )² = 17

Then

(x + 5)² + (y - 4)² = 17 ← equation of circle

Answer:

x² + y² + 10x - 8y + 24 = 0

Step-by-step explanation:

equation of a circle :-

equation of a circle :-(x - h)² + (y - k)² = r²

for this circle :-

finding radius of the circle

we've been given a point ( -1, 5) that lies on the circle and hence should satisfy the equation of the circle

putting x = -1 and y = 5

=> (-1 - (-5))² + (5 - 4)² = r²

=> (-1 + 5)² + 1² = r²

=> 4² + 1 = r²

=> 17 = r²

[tex] = > r = \sqrt{17} [/tex]

the radius if the circle is √17 units

__________________________________

finding the equation of the circle

=> (x + 5)² + (y - 4)² = (√17)²

=> x² + 25 + 10x + y² + 16 - 8y = 17

=> x² + y² + 10x - 8y + 24 = 0

Answer:

Answer:

Step-by-step explanation:

Slope of a line 2x+3y=6 is -2/3

So line passing through (0,4) has same slope because both are parallel

From slope intercept form we have

Y-y1 =m(x-1)

Y-4= -2/3(x-0)

3Y-12 = -2x

3Y+2x = 12

Which is required equation of a line.

Step-by-step explanation:

Answer:

y = -2/3x + 20/3

Step-by-step explanation:

2x + 3y = 6

3y = -2x + 6

y = -2/3x + 2

y = -2/3x + b

4 = -2/3(4) + b

4 = -8/3 + b

20/3 = b

Answer:

1.42

Step-by-step explanation:

Answer:

$102.55

Step-by-step explanation:

70 - 19.95 - (10.50 X 5) + 105 = 102.55

Answer:

4

Step-by-step explanation:

add 3 to 13

then divide 16 by 4 that gives you your final answer of 4

Answer:

1 1/2y-5

Step-by-step explanation:

Simplify.

-1/2(-3y+10)

Use distributive property to multilpy -1/2 by -3y and -1/2 by 10.

=1 1/2y - 5

Answer:

[tex]1.5x-5[/tex]

Step-by-step explanation:

When given the following problem,

[tex]-\frac{1}{2}(-3x+10)[/tex]

Distribute, multiply every term inside the parenthesis by the term outside of the parenthesis,

[tex]=(-\frac{1}{2})(-3x)+(-\frac{1}{2})(10)[/tex]

Now simplify the expression, remember, negative times negative is positive,

[tex]=\frac{3}{2}x-5[/tex]

Rewrite as a decimal; remember ([tex]\frac{1}{2}[/tex]) is equivalent to ([tex]0.5[/tex]). Therefore ([tex]\frac{3}{2}[/tex]) equals ([tex]1.5[/tex]). Apply this here to rewrite the expression as a decimal,

[tex]1.5x-5[/tex]

Answer:

1/6

Step-by-step explanation:

A dies has six sides

1,2,3,4,5,6

There is 1 three

P(3) = number of threes/ total numbers

      = 1 / 6

Answer:

If you were to use the sine formula you would have to use the cosine formula to get one of the opposite sides and then use the sine formula.

For the area why not use 1/2 * 20 to get the base.

Then the height would be 24 * sin 63 = 21.38

That would give an area of 213.8

Answer:

[tex]b=\frac{1}{6}[/tex]

Step-by-step explanation:

In [tex]f(x)=a\cos(b(x-c))+d[/tex], [tex]b[/tex] represents a constant related to the period of the function. Here's how it's related:

[tex]b=\frac{2\pi}{T}[/tex], where [tex]T[/tex] is the period of the function.

We're given [tex]T=12\pi[/tex], so solving for [tex]b[/tex]:

[tex]b=\frac{2\pi}{12\pi}=\boxed{\frac{1}{6}}[/tex]

Answer:

(y+1) = -3(x-2)

Step-by-step explanation:

y-y₁=m(x-x₁)

notice the negatives in the formula.

this changes coordinates. the positives to negative and negatives to positives

Answer:

1/8

Step-by-step explanation:

3/4=6/8

6/8+1/8=7/8

1-7/8=1/8

Answer:

1) observational

2) sample

3) experiment

Answer:

1 no is observational

Step-by-step explanation:

2 no is sample

3 no is experiment

Answer:

4x

Step-by-step explanation:

5x - x is simply

5x - 1x = 4x

Another way to think about it:

5x = 5 * x

5(x) - 1(x) = 4(x) = 4x

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

4x

Step-by-step explanation:

Answer:

the answer is 36q^7

Step-by-step explanation:

multiply the bases and add the exponents

Answer:

$232

Step-by-step explanation:

Add 16% to 100% then multiply by 200

Answer:

I only see 1 graph...

hksjfjf

Answer:

a, 20 side polygond b, the sum of the interior angles is 162°

Answer:

2,197.8

Step-by-step explanation:

Step-by-step explanation:

Y=x

Y=x+2

Plot graph but not up to scale just for u to understand

Answer:

19030187 girls

Step-by-step explanation:

Total number of children = 6,45,55,587

number of boys =4,55,25,400

Number of girls= (Total number of children ) - (number of boys )

= (6,45,55,587)-(4,55,25,400)

= 19030187 girls

The number of girls. Is 19030187

Answer:

I think C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i got it right

Answer:

A

Step-by-step explanation:

Answer:

130 inches

Step-by-step explanation:

Area = Length · Width

Solve for the Right Triangle

6 · 11 = 66 inches

Area = Length · Width

Solve for the square

Since the width isn't fully given, we must add 5 + 3 = 8 inches

5 · 8 = 40 inches

Area = Length · Width

Solve for the Rectangle

8 · 3 = 24 inches

Now add the results: 66 + 40 + 24 = 130 in^2

Answer:

the naswer is 10

Step-by-step explanation: