I need help with this expression 4(2x + 3) + 6x+9

Answer:

7 + 6\(\sqrt{2}\)

Step-by-step explanation:

note that \(\sqrt{a}\) × \(\sqrt{a}\) = a

(\(\sqrt{2}\) + 5)(1 + \(\sqrt{2}\))

each term in the second factor is multiplied by each term in the first factor, that is

\(\sqrt{2}\)(1 + \(\sqrt{2}\)) + 5(1 +\(\sqrt{2}\)) ← distribute parenthesis

= \(\sqrt{2}\) + 2 + 5 + 5\(\sqrt{2}\) ← collect like terms

= 7 + 6\(\sqrt{2}\)

Answer: A = 40°, Angle B = 60° and Angle C = 80°. The angles sum to 180°, so at least one triangle may be drawn.

Step-by-step explanation: Did this help

Answer:

y+3=-5(x-4)

Add 20 characters to explain the point

Answer:

113.625 miles

Step-by-step explanation:

3 hours at a rate of 30 mile/hr : 3*30=90 miles

2 1/4 hours at a rate of 10 1/2 miles/hr= 2 1/4 *10 1/2= 2.25*10.5=23.625

total miles the object traveled : 90+23.625=113.625 miles

The GCF which we obtained by evaluating the given data is 12.

We must calculate the GCF(LCM(24 , 32), LCM (12 , 18)).

GCF is for greatest common factor, while LCM stands for least common factor.

First, compute the LCM of (24 , 32)

24 = 2 x 2 x 2 x 3

32 = 2 x 2 x 2 x 2 x 2

As a result, the LCM will be  96

LCM of (12 , 18)

12 = 2×2×3

18 = 3 x 3 x 2

So the LCM will be  36

Now,

the GCF of (96 , 36)

= 12

If we need to find the GCF of two numbers, we will first list their prime factors. GCF is obtained by multiplying the common factors of both numbers. If no common prime factors exist, the biggest common factor is

Finding the GCF of a given number set can be straightforward. However, additional actions must be taken in order to obtain the right GCF. To find the greatest common factor of two given numbers, first find all of their factors and then locate the common factors.

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Answer:

6400

Step-by-step explanation:

-2(12-2(-4))^2

Simplify:

-2(10(-4))^2

-2(-40))^2

80^2

6400

Answer:

Difference in temperature = 25°C

Step-by-step explanation:

Given:

Temperature 1 = -51°C

Temperature 2 = -76°C

Find:

Difference in temperature

Computation:

Difference in temperature = Temperature 1 - Temperature 2

Difference in temperature = -51°C - [-76°C]

Difference in temperature = -51°C + 76°C

Difference in temperature = 25°C

A. m∠1 = 45° because m∠1 and the angle measuring 135° are supplementary angles

B. m∠2 = 95° because m∠2 and the angle measuring 95° are vertical angles

C. m∠3 = 40° because m∠1, m∠2, and m∠3 form a triangle.

When a transversal line intersects a pair of parallel lines, several angles are formed which includes: Corresponding angles, vertical angles, alternate angles, complementary and supplementary angles.

m∠1 + 135° = 180° {supplementary angles}

m∠1 = 180° - 135°

m∠1 = 45°

m∠2 and 95° are vertical angles thus they are equal so;

m∠2 = 95°

m∠1 + m∠2 + m∠3 = 180° {sum of interior angles of a triangle}

45° + 95° + m∠3 = 180°

140° + m∠3 = 180°

m∠3 = 180° - 140°

m∠3 = 40°

In conclusion:

A. m∠1 = 45° because m∠1 and the angle measuring 135° are supplementary angles.

B. m∠2 = 95° because m∠2 and the angle measuring 95° are vertical angles

C. m∠3 = 40° because m∠1, m∠2, and m∠3 form a triangle.

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Answer:

0

Step-by-step explanation:

Direction is defined as the path that something takes. North, south, east and west all are the direction. Up down, left and right are also used to represent the direction. Using the direction chart we get the equator is at 0 distance away from the location of kylie.

Given-

Kylie uses the number 400 to represent 400 miles north of the equator.

Kylie uses the number -2000 to show 2000 miles south of the equator.

What is the direction?

Direction is defined as the path that something takes. North, south, east and west all are the direction. Up down, left and right are also used to represent the direction.

As Kylie use the number 400 to represent 400 miles north of the equator. Thus if he need to back at 400 towards the south to reach back to the equator. Thus the equator is the point from where he has started and the equator is at 0 distance away from the location of kylie where he had started earlier.

Similarly Kylie uses the number -2000 to show 2000 miles south of the equator. Thus if he need to come back at 2000 towards the north to reach back to the equator. Thus the equator is the point from where he has started and the equator is at 0 distance away from the location of kylie where he had started earlier.

Hence both the statement suggest that the equator is at 0 distance away from the location of kylie where he had started earlier.

Answer:

C. 4

Step-by-step explanation:

first off, we know we need the value of HJ to solve for GH. Luckily for us HJ is congruent to JK, and we have the values to solve for that using pythagorean theorum.

4^2 + JK^2 = 5^2

16 + JK^2 = 25

JK^2 = 9

JK = 3

now we can solve for GH

3^2 + GH^2 = 5^2

9 + GH^2 = 25

GH^2 = 16

GH = 4

the area of the dartboard is approximately 254.34 square inches.

The area of a dartboard can be calculated using the formula for the area of a circle, which is given by:

Area = π * \(radius^2\)

Given that the radius of the dartboard is 9 inches, we can substitute this value into the formula:

Area = π * \(9^2\)

Area = π * 81

To calculate the area, we need to use the value of π (pi). Pi is an irrational number and is commonly approximated as 3.14. Using this approximation, we can calculate the area:

Area ≈ 3.14 * 81

Area ≈ 254.34 square inches

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Answer:

4/6 , 3/4, 7/8

Step-by-step explanation:

7/8 4/6 3/4

The common denominator is 24

7/8*3/3 = 21/24

4/6* 4/4 = 16/24

3/4 * 6/6 = 18/24

From smallest to largest

16/24, 18/24, 21/24

4/6 , 3/4, 7/8

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

The most effective graphical representation of the above data would be a histogram.

A histogram is a graphic representation of the distribution of numerical data. In this case, data on the carbohydrate content of ten different tortilla sandwich wraps is acquired. The best option is a histogram because the data is numerical.

For categorical data, which is broken up into several categories and displayed as a fraction or percentage of the whole, a circle chart, also known as a pie chart, is the best option. The information offered is numerical rather than categorical, though.

Each individual data point is shown as a dot on a number line in a dot plot, also called a line plot. It may not be suitable for larger quantities of data, although being advantageous for an.

Numerical data can be arranged and displayed using a stem-and-leaf plot. For just ten data points, it might not be the ideal depiction, though.

Therefore, the most appropriate graphical representation for the provided data would be a histogram.

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Part A

Coordinates before dilation

A = (-2, 4)

B = (-2, 3)

C = (-4, 3)

Coordinates after dilation with a scale factor of 2

A' = (-4, 8)

B' = (-4, 6)

C' = (-8, 6)

Part B

Coordinates after a reflection over the y-axis

Coordinates of triangle ABC after a reflection over the y-axis by negating the x-axis.

A' = (2, -4)

B' = (2, -3)

C' = (4, -3)

(i) Considering two triangles ΔAMC and ΔBMD:

AM = BM { As given }………………………………………. (i)

∠ CMA = ∠ DMB { Vertically opposite angles }…. (ii)

CM = DM { As given also}……………………………….. (iii)

From above three equation both the triangle satisfies “SAS” congruency criterion

So, ΔAMC ≅ ΔBMD

(ii) From ΔAMC and ΔBMD

∠ ACD = ∠ BDC

Also alternate interior angles of two parallel lines AC and DB.

The sum of two co-interiors angles results to 180°.

So, ∠ ACB + ∠ DBC = 180°

∠ DBC = 180° – ∠ ACB

∠ DBC = 90° { ∠ACB =90° }

(iii) From ΔDBC and ΔACB,

BC { Common side of both the triangle }……. (i)

∠ ACB = ∠ DBC { As both are right angles }….(ii)

DB = AC (by CPCT)………………………………….. (iii)

The triangle satisfies SAS congruency criterion

So, ΔDBC ≅ ΔACB

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Answer:

y > 5

Step-by-step explanation:

To ride the Rollercoaster, height must be above 5 feets

y = height

Hence, the inequality representing those who can ride the Rollercoaster is :

Height above 5 feets

y > 5

Hence, anybody for which the inequality statement is true can ride the Rollercoaster.

The error a student made when finding the inverse of the logarithmic function f(x) =log6(4x 2)− 5 was that the (4x 2) must be the input for the logarithm.

A function's inverse is the opposite of the function. The inverse is written as f-1 (y). If f(a) = c using this notation, then f-1(c) = a. These two sentences both express the same idea, and we can express the same connection using either formula. When numbers are entered, if f(1) = 2, then f-1(2) = 1. This may be compared to the function moving in one direction and the inverse function moving the other way. All of this data may be combined into the formula f(f-1(x)) = x.

f(x) = log6(4x 2)− 5 is incorrect because the

f(x) = should be in x term

So, \(f(x) = 6^{(4x+2)-5}\)

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Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

Answer:

29 is 6x^2+12+42

31 is 12x^5 -15x^3 = 30x^2

Step-by-step explanation:

cant do the rest sorry

Answer:

29.) 6x² + 12x + 42

30.) 4x - 4x²

30.) -x³ - 5x²

31.) \(12x^5-15x^3+30x^2\)

32.) -3x³ + 6x² - 36x

Step-by-step explanation:

29. 6 ( x² + 2x + 7 )

* distribute the 6 to what's inside of the parenthesis *

6 * x² = 6x²

6 * 2x = 12x

6 * 7 = 42

6x² + 12x + 42

30. 4x ( 1 - x )

* distribute the 4x to what's inside of the parenthesis *

4x * 1 = 4x

4x * -x = -4x²

4x - 4x²

For some reason there is two number 30's

-x² ( x + 5 )

* distribute the -x² to what's inside of the parenthesis *

-x² * x = -x³

-x² * 5 = -5x²

-x³ - 5x²

31.) 3x² ( 4x³ - 5x + 10 )

* distribute the 3x² to what's inside of the parenthesis *

\(3x^2*4x^3=12x^5\\3x^2*-5x=-15x^3\\3x^2*10=30x^2\\12x^5-15x^3+30x^2\)

32.) 3x ( -x² +2x - 12 )

* distribute the 3x to what's inside of the parenthesis *

3x * -x² = -3x³

3x * 2x = 6x²

3x * -12 = -36x

-3x³ + 6x² - 36x

Note: When multiplying variables with constants and exponents you add the exponents and multiply the constants

Ex. 3x² * 4x²

Multiply the constants ( 3 and 4 )

3 * 4 = 12

Add the exponents \(^2^+^2^=^4\)

\(3x^2*4x^2=12x^4\)

The  examples that would constitute a discrete random variable are;

I. Total number of points scored in a football game

III. Number of near collisions of aircraft in a year

A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.

A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer:

31cm

Step-by-step explanation:

14 + 8 + 9 = 31

Make sure to add the cm on the end!

The perimeter of the triangle is 31cm.

The perimeter of the triangle with sides of length 14 cm, 8 cm and 9 cm is 31 cm. This can be calculated by simply adding up the length of each side. To explain, the perimeter of a triangle is the sum of the lengths of all three sides.

In this particular triangle, the length of side 1 is 14 cm, the length of side 2 is 8 cm and the length of side 3 is 9 cm. When we add these three lengths, we get the perimeter of the triangle: 14 cm + 8 cm + 9 cm = 31 cm.

In general, to calculate the perimeter of any triangle, we first have to identify the lengths of all three sides. Then, we simply add these lengths together to get the perimeter.

For example, if the triangle had sides of lengths 4 cm, 5 cm and 6 cm, then the perimeter would be 4 cm + 5 cm + 6 cm = 15 cm.

In conclusion, the perimeter of any triangle can be calculated by adding together the length of each side. In the case of the particular triangle in question, the perimeter is 31 cm.

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Answer:

600

Step-by-step explanation:

The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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The variance of the scores in a sample tends to be less than or equal to the variability of the scores in the population from which the sample was obtained.

When we take a sample from a population, it is expected that the variability within the sample will be somewhat representative of the variability in the population. However, due to the random nature of sampling, there is a chance that extreme scores or outliers in the population may not be fully captured in the sample, resulting in slightly reduced variability. Therefore, the sample variance typically provides an estimate that is close to the population variance but is generally smaller due to the potential sampling variability.

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Answer:

below

Step-by-step explanation:

17/40 * 100 % = 42.5 %

Answer:

42.5%

Step-by-step explanation:

to get 40 (denominator) to 100, you need to multiply 40 by 2.5times.

so, multiply 17 (numerator) too: 17 times 2.5 = 42.5

42.5 percent is your answer

Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.