1. Simplify the following loga + 3logax - 2loga4x

Perpendicular lines has negative reciprocal slopes.

"Negative reciprocal" is just a fancy way of

saying flip the fraction and change the sign.

So flipping the fraction gives us -3/2 and change the sign to get +3/2.

Answer:

*Most of these, you just have to get the variable by itself. To check, put the answer in for the letter.*

1. b+8=14

Subtract 8 from both sides

b=6

Check: 6+8=14 ——— 14=14

2. 25-t=15

Subtract 25 from both sides

-t = -10 ––Divide both sides by -1

t=10

Check: 25-10=15 ——— 15=15

3. 9p=81

Divide both sides by 9 to get p alone

p=9

Check: 9(9)=81 ——— 81=81

4.  y/7= 2

Multiply both sides by 7 to cancel out the fraction

y=14

Check: 14/7=2 ——— 2=2

5. y+6=10

Subtract 6 from both sides

y=4

Check: 4+6=10 ——— 10=10

6. f-4=9

Add 4 to both sides

f=13

Check: 13-4=9 ——— 9=9

7. 8d=48

Divide both sides by 8 to get d alone

d=6

Check: 8(6)=48 ——— 48=48

8. 10 = r/5

Multiply both sides by 5 to cancel out the fraction

50 = r

Check: 10=50/5 ——— 10=10

9. 15=x/3

Multiply by 3 to cancel out the fraction

45=x

Check: 15=45/3 ——— 15=15

Answer:

20 m

Step-by-step explanation:

Let the length of the perpendicular dropped from vertex C to segment AB be x

By geometric mean property:

[tex]x = \sqrt{16 \times 9} \\ \\ x = \sqrt{144} \\ \\ x = 12 \: m \\ \\ By \: Pythagoras \: Theorem: \\ \\ Distance \: across \: the \: pond \\ \\ = \sqrt{ {16}^{2} + {12}^{2} } \\ \\ = \sqrt{256 + 144} \\ \\ = \sqrt{400} \\ \\ = 20 \: m[/tex]

Answer:

[tex](f\circ g)(x)=6x+14[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-4\text{ and } g(x)=2x+6[/tex]

And we want to find:

[tex](f\circ g)(x)[/tex]

This is equivalent to:

[tex]=f(g(x))[/tex]

Then by substitution:

[tex]=f(2x+6)=3(2x+6)-4[/tex]

Evaluate:

[tex]=f(g(x))=6x+18-4=6x+14[/tex]

Therefore:

[tex](f\circ g)(x)=6x+14[/tex]

Answer:64 people

Step-by-step explanation: total no. of members=80

%decrease=20

20/100 x 80=16(people that left)

people rem.=80-16

Answer:

x and p equal 92 and y equals 88

Answer:

B. Equilateral

It is an equilateral triangle

As we can see all sides are equal.

Equilateral Triangle

Step-by-step explanation:

Answer:

We know that lines AB and CD are parallel because if you expand them, we know they will never touch.

Step-by-step explanation:

Answer:

7.76 × 10^8

Step-by-step explanation:

Answer:

i think i would be 1.94x10^8

Step-by-step explanation:

Answer:

To calculate perimeter add all the sides of the particular shape.

I hope this helps!

Square perimeter formula: P = 4a

Rectangle perimeter formula: P = 2(a + b)

Triangle perimeter formulas:

P = a + b + c or

P = a + b + √(a² + b² - 2ab * cos(γ)) or

P = a + (a / sin(β + γ)) * (sin(β) + sin(γ))

Circle perimeter formula: P = 2πr

Circle sector perimeter formula: P = r(α + 2) (α is in radians)

Ellipse perimeter formula: P = π(3(a + b) - √((3a + b) * (a + 3b)))

Quadrilateral / Trapezoid perimeter formula: P = a + b + c + d

Parallelogram perimeter formulas:

P = 2(a + b) or

P = 2a² + √(2e² + 2f² - 4a²) or

P = 2(b + h/sin(α))

Rhombus perimeter formulas:

P = 4a or

P = 2√(e² + f²)

Kite perimeter formula: P = 2(a + b)

Annulus perimeter formula: P = 2π(R + r)

Regular polygon area formula: P = n * a

Answer:

Step-by-step explanation:

A and D

9514 1404 393

Answer:

  (b)  30

Step-by-step explanation:

The standard form of a quadratic is ...

  y = ax^2 +bx +c

For such a function, the axis of symmetry is ...

  x = -b/(2a)

Your quadratic function has a=-5, b=+300, so the axis of symmetry is ...

  x = -300/(2(-5) = 30

The peak of the curve is on the axis of symmetry. So, profit is maximized when 30 items are produced.

_____

Of course, a graphing calculator can display the maximum of the function easily.

Answer:

64 ft^2

Step-by-step explanation:

(x+7)(x-2)=90

x^2-2x+7x-14=90

x^2+5x-104=0

factor

(x+13)(x-8)=0

x=-13

x=8 ft original square side

area=8x8=64

Answer:

64 ft^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-2 + 3)/(2 + 1) = 1/3 is the slope

Answer:

Ani age is 21

Biju age is 18

Step-by-step explanation:

let Ani age be X

let Biju age be Y

the difference of their age is 3

i.e X - Y = 3......,....(equ. 1)

let Dharam age be A

let Cathy age be B

i.e A = 2x

B = y/2

the difference of their age is 30

Y/2 - 2x = 30..... (equ. 2)

from equ.1 X = ( 3+y).........( equ.3)

y/2 - 2(3+y) = 30

y/2 - 6 + 2y = 30

multiply both side by 2

y - 6 + 2y = 60

y + 2y = 60 - 6

3y = 54

Y = 18

from equ.3

X = 3+Y where y is 18

X = 3+18 = 21

Answer:

1.  (q² + 8) - (4q² + 1)

Simplify each term.

q²+8−4q²−1

Simplify by adding terms.

−3q²+7

2. (3x + 7x² - 6) - (5x² + x + 9)​

Simplify each term.

3x+7x²−6−5x²−x−9

Simplify by adding terms.

Tap for more steps...

2x²+2x−15

Step-by-step explanation:

Answer:

21.71% increase

Step-by-step explanation:

increase = Increase ÷ Original Number × 100

12756/58753*100

0.217112318*100

21.71% increase.

MARK ME BRAINLIEST

Answer:

option C is correct answer of this question

Answer:

the answer is c 2 teaspoons

Step-by-step explanation:

if you divide 84 by 21 you would get 4.  then you multiply 1/2 by 4 and get 2 teaspoons.

Answer:

x = 26

Step-by-step explanation:

it is a right angle so

(x+4)3=90

3x+12=90

-12         -12

3x = 90-12

3x = 78

/3       /3

x = 26

Answer:

WYM

Step-by-step explanation:

Answer:

x + 9.50 = 35

Step-by-step explanation:

The missing variable in this case is the number of dollars they spent on tickets. In total, combined the tickets and popcorn is equal to 35$,

We already know the amount they spent on popcorn.

X, the amount they spent on tickets + 9.50=35

Answer and Step-by-step explanation:

This graph is linear. The graph would look like this:

#teamtrees #WAP (Water And Plant) #PAW (Plant And Water)

#PAWG (Plant And Water Gang)

Answer:

the answer is b:-6

Step-by-step explanation:

hoped I helped:)

Answer:

I think the answer B

If not then, sorry

Answer:

Infinitely many solutions

Step-by-step explanation:

Answer:

I think it is 5 if I did it right

S

Answer:

Step-by-step explanation:

coffee=c

cakes=d

c+2d=8

2c+3d=14

c=8-2d

2(8-2d)+3d=14

16-4d+3d=14

-d=-2

d=2

c+4=8

c=4

coffee=4 dollars each

cakes=2 dollars each

The price of coffee is $4 and price of slice of cake is $2.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

One coffee and two slices of cake cost 8 dollars in total.

Two coffees and 3 slices of cake cost 14 dollars in total.

let the price of coffees sold be x

let the price of slices of cake sold be y

Then, the system of equations are

x+ 2y = 8

2x+ 3y = 14

On solving

2(8- 2y)+ 3y= 14

16 - 4y + 3y= 14

-y= -2

y= 2

and, x = 8- 2(2)= 8- 4= 4

Hence,  price of coffee is $4 and price of slice of cake is $2.

Learn more about equation here:

https://brainly.com/question/10413253

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