If xy + xb + ya + ab = 32 and x + a = 4 , then x + b = ​
and i will give BRAINLIEST

The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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Answer:

A perpendicular line from a given point

Place your compass on the given point (point P).

From each arc on the line, draw another arc on the opposite side of the line from the given point (P).

Use your ruler to join the given point (P) to the point where the arcs intersect (Q).

Answer:

get the slope of original line

take the inverse of the slope and multiply by -1 (2/3 becomes - 3/2)

y = -b/a x + b

plug on y & x using the given point

calculate the "B"

go back to the y = -b/ax + calculated "B"

that is your answer

Step-by-step explanation:

The most appropriate interpretation for the slope of the data given is the height of water in the pool increases by 2 inches per minute. Option (1) is correct.

The slope of a line, also known as its gradient, is the value of the steepness or direction of a line in a coordinate plane. Slope can be calculated using various methods given a line equation or the coordinates of points on a straight line.

Given that

Time                       Height

2                                 8

4                                12

6                                16

8                                20

10                              24

The slope of the line = 2

A line's slope is also known as its gradient or rate of change.

The slope can be positive or negative; positive slope values indicate an increase in x as y increases and vice versa.

A negative slope indicates that one variable decreases as the other increases.

Because the slope value given here is positive, we can conclude that the height of the water increases over time.

As a result, the height of the water rises by 2 inches per minute.

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Answer:

0.00175

Step-by-step explanation:

i think 16? 1/2+1/2=1 so 8*2=16

According to trigonometric properties, the value of (16-x2) for x as 4sinx is 4cosx.

Trigonometry is a branch of mathematics concerned with angle relationships and length ratios. The field arose in the Hellenistic world during the third century BC from geometric applications to astronomical studies. Trigonometry is a branch of mathematics concerned with specific angle functions and their application to calculations. In trigonometry, there are six functions of an angle that are commonly used. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and abbreviations (csc).

Here,

=√(16-x²)

x=4sinx

=√(16-(4sinx)²)

=√(16-16sin²x)

=4√(1-sin²x)

=4cosx

The value of √(16-x²) for x as 4sinx is 4cosx by trigonometric properties.

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Answer:

B. The number of square units contained in the interior

Step-by-step explanation:

The area of a polygon refers to the measure of the two-dimensional space or surface enclosed by the polygon. It is typically measured in square units, such as square centimeters (cm²) or square meters (m²). The area represents the extent or magnitude of the region covered by the polygon, providing information about its size or spatial coverage.

Answer:

ΔACB ≅ ΔQPR ( SAS congruence )

Step-by-step explanation:

What is SAS congruence ?

Two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the other triangle, according to the SAS (Side Angle Side) rule.

In triangle ΔACB and ΔQPR

                    AC  =     PQ  ( equal sides )

                 ∠ACB  =   ∠QPR ( equal angles between the sides )

                    BC  =   RP      ( equal sides )

Hence         ΔACB ≅ ΔQPR ( SAS congruence )

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Answer:

A.

Step-by-step explanation:

Rule:

When 2 or more exponents divide, they subtract.

Divide using the rule:

\( {4}^{36} \div {4}^{9} = {4}^{36 - 9} = {4}^{27} \)

B, C, and D are incorrect.

A is the correct option.

\(( {4}^{9} )^{3} = {4}^{9 \times 3} = {4}^{27} \)

According to the given conditions in the question, the movie did finish at 8:15pm exactly.

The average movie length of movies in hollywood is  around 120 -130 mins per movie. However this fact can vary as per the genre and type of the film.

The movie business, usually referred to as the film industry, has a big influence on the economy. For those involved in the industry, such as performers, directors, camera operators, sound technicians, special effects designers, and theater owners, the creation and distribution of films can result in jobs and financial gain.

The local economy can benefit from the tourists that movies can bring to an area where a movie is being made or is located. The money made by persons employed in the film business is likely to be spent on other goods and services, stimulating extra economic activity. As a result, the film industry may also have a "multiplier impact" on the economy.

So according to the question, the movie itself started at 6:15 pm, and it lasted for 105 mins , also adding the time for commercials of 9 mins and 6 mins , which ultimately added 15 more mins, the total screen time would be ,

105 + 15 = 120 mins

Which is equal to 2 hrs, so the movie finished at 8:15 pm.

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Answer: 115

Hope it helps any questions? comment it :D

Total distance travelled by the honey bee is 4km and honeybee’s displacement is 0

Displacement is defined as the shortest distance travelled by the object.

According to the question we have been given that the honeybee travelled 2km before returning to the hive.

Thus the total distance travelled by the honeybee is = 2 + 2 km

                                                                                             = 4 km

And the honeybee’s displacement = 0

Because the bee has returned to the same from where she had left and displacement is a vector quantity that has magnitude and direction and depends upon the initial and final position. So as the initial and final destination is same for the honeybee. Thus the displacement will be zero.

Hence total distance = 4km

And displacement = 0

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Answer:

The answer is

Step-by-step explanation:

The slope of the line passing through two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (-2,5) and (3/2, 2)

The slope is

We have the final answer as

Hope this helps you

Step-by-step explanation:

\( = 33\% \times 1400 \\ = \frac{33}{100} \times 1400 \\ = 462 \: dollars \\ remaining \: tax = 1400 - 462 \\ = 938 \: dollars\)

Answer:

0.3333 = 33.33% of this group likes chocolate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

Of the friends who like sprinkles, what proportion of this group likes chocolate:

So,

Event A: Likes sprinkles

Event B: Likes chocolate

15% of your friends like sprinkles (S) topping.

This means that \(P(A) = 0.15\)

5% of your friends like Chocolate (C) and also like sprinkles (S).

This means that \(P(A \cap B) = 0.05\)

So

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.15} = 0.3333\)

0.3333 = 33.33% of this group likes chocolate

Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

The smallest to the largest side is SQ, RS, QR, the correct option is B.

A triangle is a polygon with three sides, angles, and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse, acute and right-angled triangle and scalene, isosceles and equilateral triangle.

The measure of angle of the triangle is 56°, 83°, and 41°.

From the property of the triangle, the side opposite the bigger measure angle is the largest.

The measure of angle QRS is 41°, angle RQS is 56°, and angle QSR is 83°.

The smallest side will be the side opposite to QRS, i.e. SQ,

The largest side will be the side opposite to QSR, i.e. QR

The side in order from the smallest to the largest, SQ, RS, QR.

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The value of common difference, d is equals to the one. The value of common ratio, r is equals to the 4/3.

We have, an arithmetic sequence and second is geometric sequences. The common difference between the two consecutive terms of AP sequence is "d" and d ≠ 0 and the common ratio between two consecutive terms of geometric sequence is "r". Let the AP sequence is represented by aₙ and G.P sequence is represented by Tₙ. First term of both sequences = 9 , i.e., a₁ = a = T₁ = 9

The nth term of A.P is written as

aₙ = a + (n - 1)d so, a₄ = a + 3d and a₈ = a + 7d

The nth term of G.P is , Tₙ = ar⁽ⁿ⁻¹⁾

so, T₂ = ar , T₃ = ar²

Now, a₄ = T₂ => ar = a + 3d

=> 9r = 9 + 3d --(1)

a₈ = T₃ => ar² = a + 7d

=> 9r² = 9 + 7d --(2)

from(1) and (2) , 3(r - 1) = d , 9r² = 9 + 7(r -1)3

=> 9r² = 9 + 21r - 21

=> 9r² = 21r - 12

=> 9r² - 21r + 12 = 0

=> r = 1, 4/3

then, plugging the value of r in equation (1),

d = 3( r - 1)

=> d = 3( 0) when r = 1

=> d = 0, but it is not possible as d≠0

and d = 3( 4/3 - 1) = 1 when r = 4/3

So, required values of d and r are 1 and 4/3.

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Answer:

e(x)

Step-by-step explanation:

i think this is the answer

Answer:

The answer is A

Step-by-step explanation:

I got it  right on the test.

Answer:

The walkway should be 2ft wide.

Step-by-step explanation:

Let x be the width of the walkway surrounding the pool.

The area including the pool is 560ft².

Let's solve for the value of x.

The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.

A = lw

560 = (24 + 2x)(16 + 2x)

560 = 384 + 48x + 32x + 4x²

4x² + 80x + 384 - 560 = 0

4x² + 80x - 176 = 0

Divide the whole equation by 4

x² + 20x - 44 = 0

(x + 22)(x -2) = 0

x = -22; x = 2

Since we are dealing with dimensions, take the one with the positive value.

x = 2ft

Let's check

560ft² = (24ft + 2x)(16ft + 2x)

560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))

560ft² = (24ft + 4ft)(16ft + 4ft)

560ft² = (28ft)(20ft)

560ft² = 560ft² ✔

Answer:

half of the coins are dimes, and the other half are quarters

Step-by-step explanation:

Let's use algebra to solve the problem. Let x be the number of dimes and y be the number of quarters. Then, we have:

The number of pennies is 6/2 = 3.

The total value of the coins is 78 cents, so we can write an equation: 3 + 10x + 25y = 78.

We also know that there are no nickels, so x and y must be integers.

To solve for x and y, we can use trial and error. We know that x and y must be positive integers, and 3 + 10x + 25y = 78. Trying different values of x and y, we find that x = 2 and y = 2 are the only solution that satisfy all the conditions. Therefore, half of the coins are dimes, and the other half are quarters.

Answer:

30.2  sq cm

Step-by-step explanation:

bass times height 10 cm bottom and 3.2 height

The probability that the sum of the two dice is less than 4 is 3/36, which simplifies to 1/12.

Dice probability refers to the likelihood of a certain outcome when rolling one or more dice. The probability of rolling a particular number on a fair six-sided die, for example, is 1 in 6 or approximately 16.67%. The probability of rolling any number from 1 to 6 on a single die is always the same since each face has an equal chance of landing face up.

Given by the question.

To finds the probability that the sum of the two dice is less than 4, we need to list all the possible outcomes when Cindy throws one red and one blue dice, and then count the number of outcomes that satisfy the condition.

Possible outcomes when throwing two dice:

Red Blue

1 1

1 2

1 3

1 4

1 5

1 6

2 1

2 2

2 3

2 4

2 5

2 6

3 1

3 2

3 3

3 4

3 5

3 6

4 1

4 2

4 3

4 4

4 5

4 6

5 1

5 2

5 3

5 4

5 5

5 6

6 1

6 2

6 3

6 4

6 5

6 6

There are 36 possible outcomes when throwing two dice.

Outcomes where the sum of the two dice is less than 4:

Red Blue

1 1

1 2

2 1

There are 3 outcomes where the sum of the two dice is less than 4.

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Answer:

The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.

Answer:

Supplementary

x = 31

Step-by-step explanation:

The given angles are supplementary which means their sum is equal to 180

3x + 25 + 2x = 180 add like terms

5x + 25 = 180 subtract 25 from both sides

5x = 155 divide both sides by 5

x = 31

Answer:

its 25 because if f= 3 g=2 the equation would be 3+11(2) which would make 11*2 22+3 =25

Answer:

4x²=2(x-4)

2x²=x-4

2x²-x+4=0​

x=1+√31​/ 4, 1-√31​/4

Step-by-step explanation:

1. Cancel log on both sides

2. Divide both sides by 2

3. Move all terms to one side

4. Use the quadratic formula