How do you Find the slope of the tangent line ?

Answer:

x = V(X + 8) + 4

Step-by-step explanation:

Switch sides

x - 4 = V(X + 8\)

Add\ 4 to both sides

x - 4 + 4 = V(X + 8\) + 4

Simplify

x = V(X + 8) + 4

Answer:

4x^3+4x^2

Step-by-step explanation:

f(x) = 4x^2

g(x) = x+1

(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2

Answer: b

Step-by-step explanation:

Answer:

The product is -120

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x = 11[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\2(x+3)+9-5=32\\----------------\\\rightarrow 2x + 6 + 9 - 5 = 32\\\\\rightarrow 2x + 10 = 32\\\\\rightarrow 2x + 10 - 10 = 32 - 10\\\\\rightarrow 2x = 22\\\\\rightarrow \frac{2x=22}{2}\\\\\rightarrow \boxed{x=11}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

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Explanation:

Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.

If x+y = 180, then y = 180-x.

Plug this into the equation your teacher gave you

x/y = 3/7

x/(180-x) = 3/7

7x = 3(180-x) ... cross multiply

7x = 540 - 3x

7x+3x = 540

10x = 540

x = 540/10

x = 54

Use this to find y

y = 180-x

y = 180-54

y = 126

Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.

Divide both parts of the first fraction by 18 to fully reduce.

Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees

The volume of square based pyramid is 4cm³.

A square pyramid is a pyramid, in geometry, that has a square base and four lateral faces.

To find the volume of a pyramid, we multiply the area of its base with the height of the pyramid, and divide by 3.

V=1/ 3×B²×h

where B is the area of the base of the pyramid, and h is its height.

Now in the question,

b = 2cm; h = 3cm

Volume = (1/3 x 2x2x3)cm³

= (1x2x2)cm³

= 4cm³

Therefore, the volume of square based pyramid is 4cm³

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Answer:

C= 65° and m D = 35°

this cannot be true

Step-by-step explanation:

a complementary angle adds up to 90°

65°+35°=100

90° =/= 100°

Answer:

area of the triangle= 1/2 × base × height

24 = 1/2 × 4 × height

height. = 24/2

= 12 inches

answer is third option

Answer:

6^5

Step-by-step explanation:

We know that a^b /a^c = a^(b-c)

6^20 / 6^15

6^(20-15)

6^5

Answer:

Hello,

Answer A

Step-by-step explanation:

Since there are 4 inputs and 3 are known

we shell try a function like y=ax²+bx+c

So we have to resolve the system

[tex]\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\[/tex]

We have to try:

0*x²+3*x+7=31

3x=24

x=8

Answer:

1,362, 00

Step-by-step explanation:

R= (1200)2 - 65 (1200)

=1,362,000

80 square meters of wallpaper must be sold.

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given:

R = y² - 65y.

Now, R= 1200

y² - 65y = 1200

y² - 65y -1200 = 0

y² - 80y + 15y -1200 = 0

(y- 80) (y + 15)= 0

y= 80, -15

Hence, 80 square meters of wallpaper must be sold if the revenue from the wallpaper is to be 1200 per day.

Learn more about algebra here:

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Answer:

x = 11

Step-by-step explanation:

The diagonals of a rhombus are perpendicular meaning that they create 90 degree angles

If they create 90 degree angles then 7x + 13 = 90

( Note that we've just created an equation that we can use to solve for x )

We now solve for x algebraically using the equation we created

7x + 13 = 90

Step 1 Subtract 13 from both sides

7x = 77

Divide both sides by 7

x = 11

Answer:

80

Step-by-step explanation:

The value of x must be greater than 77

The only number greater than 77 is 80

Answer:

b

Step-by-step explanation:

Answer:

7235 using 3.14 for pi

7238 using the pi button

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (12)^3

V = 2304pi

Letting pi = 3.14

V = 7234.56 and rounding to a whole number

V = 7235

Using the pi button

V =7238.22947 and rounding to a whole number

V = 7238

Answer: 7238

Step-by-step explanation:

The formula used is 4/3πr³

Now let's substitute the radius: 12

4/3πr³

=4/3×π×12³

=4/3×π×1728

=7238.22947

but since we are rounding it to the nearest whole number the answer would be 7238

Answer:

I believe it is (-8,-9)

Step-by-step explanation:

I plugged the line into desmos then did the rotation

Answer:

?=25

Step-by-step explanation:

15/x=21/x+10

Cross Multiply

15X+150=21X

SUBTRACT 15 X ON BOTH SIDES.

150=6x

DIVIDE 6 IN BOTH SIDES.

x=25

Answer:

It is a consistent way of measuring the amount of alcohol in a drink.

Step-by-step explanation:

A standard drink measure is principally used to measure the amount of alcohol in a drink. It may be referred to as equalling the amount you of an alcoholic drink. The standard drink measure contains approximately 14 grams of alcohol. Hence, with with the standard drink measure, a consumer obtain a consistent measure of the alcohol content he/she is consuming. The standard drink measure is an alcohol related measure and not just any drink or food guage.

Answer:

angles 3&7

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

d – 22 ≥ 28

d ≥ 50  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]

⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]

⸻⸻⸻⸻

[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.  

Answer:

The mass of Sun is [tex]65\times 10^5[/tex] times greater than mass of Mercury.

Step-by-step explanation:

We are given that

Mass of the sun=[tex]M=2.13525\times 10^{30}[/tex] kg

Mass of Mercury, [tex]m=3.285\times 10^{23}[/tex]kg

We have to find how many times greater is the mass of the sun than the mass of Mercury.

Mass of sun/Mass of mercury=[tex]\frac{2.13525\times 10^{30}}{3.285\times 10^{23}}[/tex]

Mass of sun/Mass of mercury[tex]=0.65\times 10^{30-23}[/tex]

Using the property

[tex]a^x/a^y=a^{x-y}[/tex]

Mass of sun/Mass of mercury[tex]=0.65\times 10^{7}[/tex]

Mass of sun/Mass of mercury[tex]=65\times 10^5[/tex]

Mass of Sun=[tex]65\times 10^5[/tex] times Mass of Mercury

Hence, the mass of Sun is [tex]65\times 10^5[/tex] times greater than mass of Mercury.

Answer:

The equation is in a linear form, which means its in y=mx + b

M is the slope.

Slope is a fancy word for rate of change.

Therefore, the slope/rate of change is...

.860

Answer:

B. ab+ac=d

Step-by-step explanation:

Answer:

ab + ac = d

Step-by-step explanation:

a(b+c)=d

Distribute the a

ab + ac = d

Answer:

2x+3=3x+7

2x-3x=7-3

x= 4

Step-by-step explanation:

[tex]here \: 3x + 7 = 2x + 3 \\ 3x - 2x = 3 - 7 \\ x = - 4 \\ thank \: you[/tex]

Answer:

-5=-3+a

-5+3=a

a=-2

value of a is -2

Answer:

5 hours

Step-by-step explanation:

The charge will be the same when what they pay is equal

100 + 25*number of hours = 50 +35 * number of hours

let number of hours =h

100 + 25h = 50 + 35h, subtract 25 h, and subtract 50 from both sides

100-50 = 35h -25h, combine like terms

50 = 10h , divide by 10 both sides

5 = h , in 5 hours the companies will charge the same amount

Answer:

Angle CAB

Step-by-step explanation:

Find the points that correspond to angle 2 and name them in order.

Answer:

[tex]n^{2} +18^{2} =x^{2}[/tex]

[tex]6^{2} +x^{2} =m^{2}[/tex]

[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]

[tex]m^{2} =n^{2} +360[/tex]

[tex]n^{2} +36=m^{2}[/tex]

[tex]m=15[/tex]

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