Write the equation of the line that passes through the points (4,5) and (4, -6). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer:

Measure of arc SR = 62°

Step-by-step explanation:

By using the property,

"Measure of an arc of the circle is double of the measure of the angle subtended by the arch."

m∠SUR = [tex]\frac{1}{2}m(\text{arc SR})[/tex]

m(arc SR) = 2m∠SUR

                 = 2(31°)

                 = 62°

Answer:

See attachment for drawing

Step-by-step explanation:

Given

See attachment for sketch of plan

Required

Draw a scaled plan

From the question, the garden has the following dimensions.

5.5m, 5.5m, 4m and 2.5m

Using a scale of 1m : 50 cm units, the above measurements will be represented as:

[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]

[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]

From the question, we understand that there will be 50cm space between the greenhouse and the edge.

On the scale drawing, this will be represented as:

[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]

From the question, the green house has the following dimensions.

2m, 2.5m

On the scale drawing, this will be represented as:

[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]

See attachment 2 for scale drawing

Answer:

Perimeter: 26 units

Area: 24 units²

Step-by-step explanation:

12 + 9 + 5 = 26

A = 1/2BH

A = 1/2 12(4)

A = 1/2 48

A = 24

Answer:

C)  $84

Step-by-step explanation:

40 x 14 = 560

she made $560 prior to raise

14 x 1.15 = 16.10

her new hourly rate is $16.10

40 x 16.1 = 644

she now earns $644 per week

644 - 560 = 84

Answer:

x=−3+√(−y−1)(y+5)

Step-by-step explanation:

thats if your solving for x if not to math w    l   ay

Answer:

percentage of lightbulb replacement requests =  34.15 %

Step-by-step explanation:

According to Empirical Rule

interval                                                          %

μ  ±  σ            55  ±  4     ( 51 ; 59 )              68.3

As the question is a percentage between    55  and  51

or  between  51   and  μ  -  σ    by symmetry    is  68.3/2

% of lightbulb replacement requests =  34.15 %

Answer:

3/4 of a pizza leftover.

Step-by-step explanation:

2 7/12 + 2/3 = 3 1/4

4 -  3 1/4 = 3/4

so 3/4 of 1 pizza is left.

Answer:

[tex]B=48.7\\[/tex]

[tex]c=61.3[/tex]

[tex]b=12[/tex]

Step-by-step explanation:

Using sines law for triangles,

[tex]\frac{15}{sinA} =\frac{14}{sinc} =\frac{b}{sinB} \\\\A= 70[/tex]

⇒ [tex]\frac{15}{sin70} =\frac{14}{sinC} =\frac{b}{sinB}[/tex]

⇒ [tex]\frac{15}{0.9397} =\frac{14}{sinC}=\frac{b}{sinB}[/tex]

⇒ [tex]15.9625=\frac{14}{sinC}[/tex]

⇒ [tex]SinC=\frac{14}{15.9625}=0.8771[/tex]

⇒ [tex]C=Sin^{-1}(0.8771)=61.29[/tex]

⇒ [tex]C=61 ~ or ~ 61.30[/tex]

[tex]\frac{b}{Sin B}=15.9625[/tex]

Now sum of angles a Δ is 180°

A+B+C=180°

[tex]70+B+61=180[/tex]

[tex]B=180-131=49~ or ~ 48.7[/tex]

[tex]b=sin(48.70)(15.9625)=(0.7547)*(15.9625)= 12.0[/tex]

╔════ ∘◦ ☆ ◦∘ ══════╗

       hope it helps..

      have a great day!!

╚═════ ∘◦ ❉ ◦∘ ═════╝

Answer:

1/6

Hope that this helps!

Answer:

2x + 9 = 21

Step-by-step explanation:

Looking at option C;

2x + 9 = 21

Step 1: Subtract 9 from both sides

2x+9 - 9 = 21 - 9

2x = 12

Step 2: divide both sides by 2

2x/2 = 12/2

x = 6

Hence the expression which is a two-step equation is 2x + 9 = 21 since we arrived at the solution in two steps

Answer:

(a) The population in 2000 is 450

(b) 15% decreases each year

Step-by-step explanation:

Given

[tex]P = 450(0.85)^t[/tex] --- since 2000

[tex]P \to Population[/tex]

[tex]t \to years[/tex]

Solving (a): The population in 2000

First calculate t

[tex]t = 2000 - 2000[/tex] --- years since 200

[tex]t = 0[/tex]

So, we have:

[tex]P = 450(0.85)^t[/tex]

[tex]P = 450 * 0.85^0[/tex]

[tex]P = 450 * 1[/tex]

[tex]P = 450[/tex]

Solving (b): Rate of population decrease

A function that decreases is represented as:

[tex]P(t) = a(1 - r)^t[/tex]

Where

[tex]r \to[/tex] rate of decrement

Compare [tex]P(t) = a(1 - r)^t[/tex] and [tex]P = 450(0.85)^t[/tex]

[tex]1- r = 0.85[/tex]

Collect like terms

[tex]r = 1 - 0.85[/tex]

[tex]r = 0.15[/tex]

Express as percentage

[tex]r = 15\%[/tex]

Given:

P(x) is a 2nd degree polynomial.

[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]

To find:

The polynomial P(x).

Solution:

If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).

We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).

So, the required polynomial is defined as:

[tex]P(x)=a(x-1)(x+3)[/tex]          ...(i)

Where, a is a constant.

We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get

[tex]3=a(2-1)(2+3)[/tex]

[tex]3=a(1)(5)[/tex]

[tex]3=5a[/tex]

[tex]\dfrac{3}{5}=a[/tex]

Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get

[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]

Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].

Answer:

H

Step-by-step explanation:

you can see that it's increasing by 50 for each line

4*50=200

Answer:

B. 2

Step-by-step explanation:

(4, 3) (7, 9)     M = Slope

M = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]      Slope formula

[tex]M=\frac{9-3}{7-4}[/tex]       Using the slope formula, plot both x and y intercepts

[tex]M=\frac{6}{3}[/tex]           Slope needs to be simplified into a whole number

[tex]M=2[/tex]          

Answer:

G. Angle NKL is congruent to angle ZWX is the answer

Step-by-step explanation:

Hope it helps you:)

Answer:

y=6x-14

Step-by-step explanation:

m=-8-(-2)/1-2

m=-8+2/1-2

m=-6/-1

m=6

y-y1=m(x-x1)

y-(-2)=6(x-2)

y+2=6x-12

y=6x-2-12

y=6x-14

Answer:

Step-by-step explanation:

-3,5 to find it first go over then go up and you have your answer

Answer:

The answer is (5, -3)

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

Angle of elevation of the airplane = 17.46 degrees

Step-by-step explanation:

From the picture attached,

An airplane is flying at an altitude of 1500 ft at point A.

Runway starts from point B from which distance of the airplane is 5000 ft.

Now we apply sine rule in the given triangle ABC to measure the angle θ.

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sinθ = [tex]\frac{AC}{AB}[/tex]

       = [tex]\frac{1500}{5000}[/tex]

[tex]\theta=\text{sin}^{-1}(\frac{3}{10})[/tex]

[tex]\theta=17.46[/tex] degrees

Answer:

2x + 2y = -2

Step-by-step explanation:

you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions

Answer:

1 is the constant

Step-by-step explanation:

Answer:

2000 feet

Step-by-step explanation:

200*2=400

800*2=1600

400+1600=2000

Answer:

Step-by-step explanation:

'Area of a square' formula is A = s^2, where s in the length of one side.

Here, with s = 4 cm, A = 16 cm^2

Answer:

20%

Step-by-step explanation:

4 / 20 = 0.2 = 20%

Hope this helps :)

Answer:

4 Students is 20% of 20 students.

Step-by-step explanation:

[tex] \frac{4}{20} \times 100[/tex]

= 4 × 5 %

= 20%

Answer:

[tex]\displaystyle P_3(x) = -x - \frac{x^2}{2} - \frac{x^3}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative Rule [Quotient Rule]:                                                                                [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

MacLaurin/Taylor Polynomials

Step-by-step explanation:

*Note: I will not be showing the work for derivatives as it is relatively straightforward. If you request for me to show that portion, please leave a comment so I can add it. I will also not show work for elementary calculations.

Step 1: Define

Identify

f(x) = ln(1 - x)

Center: x = 0

n = 3

Step 2: Differentiate

Step 3: Evaluate Functions

Step 4: Write Taylor Polynomial

Topic: AP Calculus BC (Calculus I/II)

Unit: Taylor Polynomials and Approximations

Book: College Calculus 10e

Answer: 118

Step-by-step explanation:

Answer:

B) 81.96°

Step-by-step explanation:

40.67 - (-41.29)

40.67 + 41.29 = 81.96

Answer:

4 %

Step-by-step explanation:

1 year interest =2160÷9

= £240

Interest rate=240/6000 ×100

=4%