MATHEMATICS HIGH SCHOOL

Geometry help ASAP please! :)

Answers

Answer 1

Answer:

Since this figure is a parallelogram then the opposite are equal to each other.

AD = BC

Plug in

2x + 2 = 3x - 1

-2x -2x

-------------------------

2 = x - 1

+1 +1

-------------------------

3 = x

-------------------------

x = 3

Answer 2

Answer:

Step-by-step explanation:

2x + 2 = 3x - 1

-2x -2x

2 = x - 1

+1 +1

x = 3

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What value of n makes the equation true?(2x^9y^n) (4x2 y 10) = 8x^11y^20
0 1
02
O 10
O 30

Answers

The value of n which makes the exponential value equation true is n = 10

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be A

Now , the value of A is

A = ( 2x⁹yⁿ ) ( 4x²y¹⁰ ) = 8x¹¹y²⁰

So , from the laws of exponents , we get

mᵃ×mᵇ = mᵃ⁺ᵇ

( 2x⁹yⁿ ) ( 4x²y¹⁰ ) = 8x⁹⁺²yⁿ⁺¹⁰

( 2x⁹yⁿ ) ( 4x²y¹⁰ ) = 8x¹¹yⁿ⁺¹⁰

And , the value of A is = 8x¹¹y²⁰

So , on simplifying , we get

8x¹¹y²⁰ = 8x¹¹yⁿ⁺¹⁰

y²⁰ = yⁿ⁺¹⁰

Since the bases are same , the powers are also same

20 = n + 10

Subtracting 10 on both sides , we get

n = 10

Hence , the exponential equation is solved and n = 10

To learn more about exponents click :

brainly.com/question/28966438

#SPJ7

Answer:

Step-by-step explanation:

30is the beginning answer

your order comes in for new protective eye wear. you order five and a half dozen. how many individual protective eye wear should you have recieved

Answers

You should have received 33 pairs of protective eyewear

To Check This:
1 dozen = 12
1/2 dozen = 6
5 dozen = 60

12x5=60+6=66
66 / 2 = 33 because a pair equals 2

A^2 - 49 solve the equation by factoring

Answers

Answer:

Step-by-step explanation:

To solve the equation a^2 - 49 by factoring, we can use the difference of squares formula. The difference of squares formula states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, a^2 - 49 can be rewritten as (a + 7)(a - 7).

By setting each factor equal to zero, we can solve for a:

a + 7 = 0

a = -7

a - 7 = 0

a = 7

Therefore, the solutions to the equation a^2 - 49 = 0 are a = -7 and a = 7.

Answer:(A+7)(A−7)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=A and b=7.

What is the indefinite integral of 6sin(3t) dt?

Answers

Answer:

$\displaystyle \int {6sin(3t)} \, dt = -2cos(3t) + C$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle (d)/(dx) [cf(x)] = c \cdot f'(x)$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals
[Indefinite Integrals] Integration Constant C

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

U-Substitution

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \int {6sin(3t)} \, dt$

Step 2: Integrate Pt. 1

[Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle \int {6sin(3t)} \, dt = 6\int {sin(3t)} \, dt$

Step 3: Integrate Pt. 2

Identify variables for u-substitution.

Set u: $\displaystyle u = 3t$
[u] Differentiate [Basic Power Rule, Multiplied Constant]: $\displaystyle du = 3 \ dt$

Step 4: integrate Pt. 3

[Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle \int {6sin(3t)} \, dt = 2\int {3sin(3t)} \, dt$
[Integral] U-Substitution: $\displaystyle \int {6sin(3t)} \, dt = 2\int {sin(u)} \, du$
[Integral] Trigonometric Integration: $\displaystyle \int {6sin(3t)} \, dt = -2cos(u) + C$
Back-Substitute: $\displaystyle \int {6sin(3t)} \, dt = -2cos(3t) + C$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

A security system sales manager conducts a survey that includes this question. Pick the best description of this survey question.Due to the recent increase in burglaries, how likely are you to install our security system?

A. The survey question is worded in a way that doesn’t introduce bias.

B. It should be reworded as a “yes or no” question to avoid bias.

C. This is a sensitive question because it relates to privacy and security.

D. It influences the respondent to say they are likely to install the security system.

Answers

Answer:

D. It influences the respondent to say they are likely to install the security system.

Step-by-step explanation:

Mentioning the recent influx of burglaries is a tactic to scare people into installing their security system.

In 4 years, harry’s age will be the same as jim’s age is now. in 2 years, jim will be twice as old as harry will be. find their ages now.

Answers

The answer to this question would be:
Jim =6 years
Harry =2 years

To answer this question, you need to translate the description into a mathematical equation. If H= Harry's ages and J= Jim's ages, then the equation should be look like this:

1. H+4= J
2. (J+2)= 2(H+2)
J+2= 2H+4
J= 2H +2

If you put the 1st and 2nd equation together, the result would be:
H+4= J
H+4= (2H +2)
H-2H= 2-4
-H= -2
H=2

After that insert the H value to either 1st or 2nd equation.
H+4= J
2+4=J
J= 6

Answer:

harry is 2 jim is 6

Step-by-step explanation:

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Subtract these polynomials. (3x2 + 3x + 3) - (x2 + 2x + 3) = A. 2x2 + x B. 2x2 + 5x C. 2x2 + 5x + 6 D. 2x2 + x + 6

the band members sold 316 juice drinks for a fundraiser. they sold 52 more grape drinks than strawberry drinks. how many of each type of juice drink did they sell?

Consider the expression –3(y – 5)2 – 9 + 7y.Which statements are true about the process and simplified product? Check all that apply. A=The first step in simplifying is to distribute the –3 throughout the parentheses. B=There are 3 terms in the simplified product. C=The simplified product is a degree 3 polynomial. D=The final simplified product is –3y2 + 7y – 9. E=The final simplified product is –3y2 + 37y – 84.