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Answer:

See answers below

Step-by-step explanation:

Equation of a line in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line

Given the line y = x

The slope of the line is 1.

The slope of the line perpendicular is M = -1

Given the point (2,2)

x0 = 2 and y 0 = 2

Substitute

Recall y-y0 = m(x-x0)

y - 2 = -1(x-2) (Point slope form)

Express in slope intercept form;

y - 2 = -1(x-2)

Make y the subject of the formula;

y -2 = -x + 2

y = -x + 2 + 2

y = -x + 4 (slope intercept form)

The general form of linear equation is expressed as the slope intercept form which is y = -x+4

let y = f(x)

f(x) = -x+4

f(x) = 4-x (Linear equation)

Answer:

5.35

Step-by-step explanation:

Answer:

12.3 foot i think

Step-by-step explanation:

P.S. there will be no shadow of the boy if he is standing next to the statue because the shadow of the statue will cover him

just for fun

Answer:

1

Step-by-step explanation:

[tex]v = whl[/tex]

1 = 5/4 x 4/3 x 3/5

Answer:

1/2 cup of carrot juice for each cup of apple juice.

Step-by-step explanation:

The ratio of carrot juice to apple juice is 3:6

Also written as 1:2

1/2 cup of carrot juice per 1 cup of apple juice

Answer:

x = 121

Step-by-step explanation:

Let the measure of the altitude of the given triangle be h units.

By geometric mean theorem:

[tex]h = \sqrt{23 \times x} \\ \\ h = \sqrt{23x} \\ \\ now \: by \: pythagors \: theorem \\ \\ {(x + 11)}^{2} = {h}^{2} + {x}^{2} \\ \\ \cancel{{x}^{2}} + 22x + 121 = {( \sqrt{23x} )}^{2} + \cancel{{x}^{2}} \\ \\ 22x + 121 = 23x \\ \\ 22x - 23x = - 121 \\ \\ - x = - 121 \\ \\ x = 121[/tex]

Answer:

Step-by-step explanation:

7) A

8) D

9) B

10) A

Answer:

48 cents

Step-by-step explanation:

divsion sorry im not a math lord

Answer:

Earth's tilted axis makes the seasons. Different parts of Earth receive the Sun at different times in the year.

Quick Fact:

North tilts toward the Sun, it's summer in the Northern Hemisphere.

South tilts toward the Sun, it's winter in the Northern Hemisphere.

Done ✔

Answer:

the answer is five

Answer:

C: 5

Step-by-step explanation:

A reciprocal means flipping the fraction over.

In this case, 1/5 — 5/1 or just 5.

Hope this helps! Have a great day!

Answer:

x = 348

Step-by-step explanation:

The measure of angle ABD is (0.15x+65) and the measure of angle CBD is(0.1x+28) . Find the value of x.

0.15x + 65 + 0.1x + 28 = 180

0.25x + 93 = 180

0.25x = 180 - 93

0.25x = 87

x = 87/0.25

x = 348

Answer:

13/14

Step-by-step explanation:

3/7+1/2

LCM = 14

6/14+7/14=13/14

Answer:

6/14 + 7/14 = 13/14

Answer:

Step-by-step explanation:

Formula for volume of a circle: V=πr²

If you multiply the circle by height, it becomes a cylinder.

Formula for volume of a cylinder: V=πr²h

Plug in the numbers and get r by itself:

471 = πr²(6)

Divide both sides by 6:

78.5 = πr²

Divide both sides by π:

25 = r²

Square root both sides:

[tex]\sqrt{25}[/tex] = [tex]\sqrt{r} \\[/tex]²

5 = r

Radius is 5 cm

Answer:

12 large books

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

x+5/36 = x/27

these are similar triangles

Answer:

A. 80

Step-by-step explanation:

T° = H°

if you rotated the first shape to match the second one, H° would fall on T°

Answer:8 cups

Step-by-step explanation:

The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].

In this question we shall use the following derivative rules:

Derivative of a sum of functions

[tex]\frac{d}{dt}(f(t) + g(t)) = \frac{df(t)}{dt} + \frac{dg(t)}{dt}[/tex] (1)

Derivative of a product of functions

[tex]\frac{d}{dt}(f(t)\cdot g(t)) = \frac{df(t)}{dt}\cdot g(t) + f(t)\cdot \frac{dg(t)}{dt}[/tex] (2)

Derivative of a constant

[tex]\frac{d}{dt}(k) = 0[/tex], [tex]\forall k \in \mathbb{R}[/tex] (3)

Derivative of a function multiplied by a constant

[tex]\frac{d}{dt}(c\cdot f(t)) = c\cdot \frac{df(t)}{dt}[/tex], [tex]\forall\, c\in \mathbb{R}[/tex] (4)

Derivative of the cosine function

[tex]\frac{d}{dt} \cos t = -\sin t[/tex] (5)

Derivative of the tangent function

[tex]\frac{d}{dt}\tan t = \sec^{2} t[/tex] (6)

Chain rule

[tex]\frac{d}{dt}f[u(t)] = \frac{df(u)}{du}\cdot \frac{du(t)}{dt}[/tex] (7)

Let be [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex], then the derivative of [tex]f(x)[/tex] is:

[tex]f'(x) = \sec^{2}x\cdot (4 + 3\cdot \cos x) + (3+\tan x)\cdot (-3\cdot \sin x)[/tex]

[tex]f'(x) = 4\cdot \sec^{2}x+3\cdot \sec x -9\cdot \sin x -3\cdot \sin x\cdot \tan x[/tex]

[tex]f'(x) = \frac{4+3\cdot \cos x}{\cos^{2}x} -\frac{9\cdot \sin x \cdot \cos x+3\cdot \sin^{2}x}{\cos x}[/tex]

[tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex]

The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].

We kindly invite to check this question on derivatives: https://brainly.com/question/21202620

Answer:

what are the letters and numbers by the trapezoid i need them to solve it

Step-by-step explanation:

Answer:

answer 21 m2

Step-by-step explanation:

Area of a trapezoid

side a

5

parallel a,b

side b

9

height h

3

22 digit

area S

21    

the correct answer is D 43.20

Answer:

A is the answer

Step-by-step explanation:

8% is the same same as 3.20$

So subtract that from 40$

Hope I could help !

Answer:

Step-by-step explanation:

The answer choices don’t make sense. The volume of a cylinder of height 45mm and radius 5mm = π5²*45 = 1125π mm³.

Three of the answer choices are larger than 1125π.

:::::

volume of one cone = πr²h* ⅓

Volume of cylinder section = πr²h

Total volume = πr²h*⅔ + πr²h = πr²h*5/3 = π5²*15*5/3 = 625π

Answer:

90 mallards

Step-by-step explanation:

No. of ducks = 200

Mallards = 45%

45% of 200 = 45/100 × 200

=90

Answer:

x=8

Step-by-step explanation:

23x=184

x=8

Answer:

1x-2y

Step-by-step explanation:

You have to go down 2 on the y-axis and over to the right 1 on the x axis

Answer:

£5.40

Step-by-step explanation:

just add a zero for it to be pence