Solve for x using factorization method 4x2−(4ax−a2+b2)=0 ​

Answer:

x=3.4

Step-by-step explanation:

you want to subtract 4.2 from 5.9 so it will be 1.7. Then 1.7/0.5 and it will be 3.4

hope this helped  

Given:

Sides AB and DE are given equal

Angle CAB and angle FDE are given equal

Angle BCA and Angle DFE are given 90 degrees that means they are also equal.

So, the triangles ABC and DEF are congruent by the AAS postulate, since two angles are given equal and one side and the side is not between these angles.

hence, Option (c) is true

Answer:

They will both pay $63.50 a month

Step-by-step explanation:

Since they paid $752 total and $499 as a security deposit, you subtract the two, getting you $253 in rent for both months.  Divide that answer by 2 to get $126.5 to get how much they payed each month together, then divide by 2 again to get how much they each payed which is $63.50

Given:

The equation representing the prediction of decline in the population is,

Population=

e=2.718.

t = 5 years.

Required:

To estimate city's population five years from now.

Explanation:

We have the equation representing the prediction of decline in the population given by,

Substituting values, we get,

Final Answer:

The city's population five years from now is estimated by the value

Second option is correct.

Answer:

\(Rate = \$0.05\)

Step-by-step explanation:

Given

\(Base\ Amount = \$0.50\)

\(Additional = \$0.05\)

Required

Determine the rate of change.

From the given parameters, we understand that the on a daily basis, there's a charge of $0.05.

This charge represent the rates at which the fee changes on a daily basis.

Hence:

\(Rate = \$0.05\)

Answer: pi/3

Step-by-step explanation:

correct on edge 2020

The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

sin⁻¹ ( √3/2 ) = θ

Now , the value of θ is calculated by

In a triangle , sin θ = opposite / hypotenuse

So , sin θ = √3/2

The value of θ = 60°

So , the measure of 60° in radians is θ = π/3

Hence , the value of θ from the trigonometric relation is π/3

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Answer:

it took Goran 1 hour longer to clean the bathroom than it took him to clean the den.

Step-by-step explanation:

Answer:

To convert 3 1/2 hours to an improper fraction:

3 1/2 = 7/2

So, Goran took a total of:

1/8 + 7/2 = 8/8 + 28/8 = 36/8 = 4 1/2 hours

Thus, it took Goran:

4 1/2 - 3 1/2 = 1 hour longer to clean the bathroom.

Explanation:

To solve the problem, we first need to convert the mixed number 3 1/2 to an improper fraction. We can do this by multiplying the whole number (3) by the denominator of the fraction (2) and adding the numerator (1):

3 x 2 + 1 = 7

So, 3 1/2 is equal to 7/2.

Next, we can add the time it took Goran to clean the den (1/8 hours) to the time it took him to clean the bathroom (7/2 hours):

1/8 + 7/2 = 8/8 + 28/8 = 36/8 = 4 1/2 hours

Therefore, it took Goran a total of 4 1/2 hours to clean both the den and the bathroom.

To find out how much longer it took Goran to clean the bathroom, we can subtract the time it took him to clean the den (1/8 hours) from the time it took him to clean both the den and the bathroom (4 1/2 hours):

4 1/2 - 3 1/2 = 1 hour

Therefore, it took Goran 1 hour longer to clean the bathroom than it took him to clean the den.

The equation representing the given linear function in the slope-intercept form is 2 = 4x + 4.

So, the linear function in the slope-intercept form will be:

Take two coordinates as follows:

(2, 4) and (3, 8)

Now, insert values and calculate:

Now, the equation formula: y = MX + b

Take (2, 4):

Therefore, the equation representing the given linear function in the slope-intercept form is 2 = 4x + 4.

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The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.

To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:

\((x - h)^2 = 4p(y - k)\)

Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).

Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).

We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.

We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.

Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.

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Answer:

1.943*10^10

Step-by-step explanation:

6.7 times 2.9 = 19.43

You then will have to add the exponents which gives 10^9 but we can move the decimal place of 19.43 to the left 1.943. Add one to the exponent which then will be 10^10

Answer:

1

Step-by-step explanation:

when x is 1 g(1) is 0

so

(f(g(1)) is f(0)

f(0) is 3√0 + 1 which is

1

sorry it looks like its not one of the answer choices

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The composition of functions f ( g ( 1 ) ) = 1

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 3√x + 1

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( 1 ) = 0

g ( 2 ) = 1

g ( 3 ) = 4

g ( 4 ) = 9

Now , the composition of function is given by f ( g ( 1 )

The value of g ( 1 ) = 0

And , f ( x ) = 3√x + 1

when x = 0

So , the value of f ( 0 ) = 3√0 + 1

The function is f ( 0 ) = 1

Hence , the value of the function f ( g ( 1 ) = 1

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Answer:

A. 35

B.105

Step-by-step explanation:

Answer:

So the width of the rectangle is 20 units.

Step-by-step explanation:

Since the area of the rectangle is 80 square units and the length of one side is 4 units, we can use the formula for the area of a rectangle (A = lw) to find the width of the rectangle. We can set up the equation like this:

A = lw

80 = 4w

w = 20

So the width of the rectangle is 20 units. This means that the vertices of one of the sides of the rectangle that represents the width could be (0,0), (0,20), (20,0), and (20,20). These coordinates assume that the lower left corner of the rectangle is at the origin (0,0). If the rectangle is not at the origin, the coordinates of the vertices would be different. For example, if the lower left corner of the rectangle was at (-5,5), the coordinates of the vertices would be (-5,5), (-5,25), (15,5), and (15,25).

The rule of the length of the arc is

Where x is the central angle of the arc

The angle of the arc is 150 degrees

x = 150

The radius of the arc is 2.4 km

r = 2.4

Substitute them in the rule

The length of the arc is 2pi

Answer:

  A.  angle A and angle Q are right angles.

Step-by-step explanation:

The HL theorem applies to right triangles. The triangles shown are not right triangles unless A and Q are right angles. That is the additional information you need for the theorem to apply.

Answer:

f(x) is 579.

Step-by-step explanation:

The equation y=9x^6+x^4-2x^2-5 represents a function where y depends on the value of x. To find the f(x) of this function, we simply replace y with f(x), which gives us:

f(x) = 9x^6 + x^4 - 2x^2 - 5

This means that if you plug in a specific value of x, the function will output a corresponding value of f(x). For example, if you plug in x=2, you would get:

f(2) = 9(2)^6 + (2)^4 - 2(2)^2 - 5

f(2) = 9(64) + 16 - 8 - 5

f(2) = 576 + 3

f(2) = 579

So when x is 2, f(x) is 579.

Answer:

if you meant y^8*y^2 then y^10 if you meant 8y*2y then 16y^2

Answer:

B.-7.34

Step-by-step explanation:

Because it's a repeating number

The true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.

It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.

To get to the current positioning, a rotation might not be sufficient.

It could be required to include a fictitious translation known as the object's location (or position, or linear position).

Together, the position and orientation completely explain where the object is situated in space.

Therefore, the true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

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Answer:

y=4/3x-3

Step-by-step explanation:

slope intercept form is y=mx+b

M is slope

B is y intercept

We know the slope is 4/3

And we know the y intercept is -3 since the y intercept is when x is equal to zero and we know by the given coordinates when x is zero y is -3

y=4/3x+(-3)

y=4/3x-3

Hopes this helps please mark brainliest

Answer:

y = 4/3x - 3

Step-by-step explanation:

Slope intercept form is y = mx + b

Where m = slope and b = y intercept.

Here, we want to find the equation of a line in slope intercept form given that it has a slope(m) of 4/3 and a y intercept(b) at (0,-3)

If we plug this (m = 4/3 and b = -3) into slope intercept form we acquire y = 4/3x - 3 which is the solution  

Answer:

x=12

Step-by-step explanation:

You would equal XY and ZY. the solve that way.

The expressions that are squares of linear expressions:

(a²/x + 5)² and  (3m + 2) (3m +2).

Here, we have,

given that,

the expressions are:

x² + 5x + 25

(a²/x + 5)²

(3m + 2) (3m +2)

d²8d + 16

x² +81

16x² - 64

now, we have to Select ALL expressions that are squares of linear expressions:

here, we get,

(a²/x + 5)² is a expression that is square of linear expression

(3m + 2) (3m +2) =  (3m + 2)² is a expression that is square of linear expression.

Hence, The expressions that are squares of linear expressions:

(a²/x + 5)² and  (3m + 2) (3m +2).

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Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

\( \int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt \)

\( \int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt \)

\(= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}\)

\( = 330.45 - 109.72 \)

\( = 220.7333 \)

Answer: 221

\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 2x^2 + x -3 \qquad \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(2)-f(0)}{2 - 0} \\\\\\ \cfrac{[2(2)^2 + (2) -3]~~ - ~~[2(0)^2 +(0) -3]}{2}\implies \cfrac{7-(-3)}{2}\implies \cfrac{7+3}{2}\implies \text{\LARGE 5}\)

The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The function is given below.

f(x) = 2x² + x - 3

The rate of change of the function for the interval between 0 to 2 is calculated as,

Average rate = [f(2) - f(0)] / [2 - 0]

Average rate = [(2(2)² + 2 - 3) - (2(0)² + 0 - 3)] / 2

Average rate = 10 / 2

Average rate = 5

The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.

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In a case whereby Another company is advertising 59$ for their service plan ,The customer bill using Percentages can be expressed as   $67.85.

In math, a percentage is a number or ratio expressed as a fraction of 100. It is denoted by the symbol %. Percentages are commonly used in many areas of math and science, such as statistics, finance, and physics. They are a useful way to express proportions, ratios, and rates in a standardized and easily understandable format.

The equation can be set up as ;

59 * (1+ 15%)

59 * (1.15)

=67.85

Therefore, the customer bill is $67.85

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Given a point with coordinates (x, y), this means that this point is located x units right (or left) the origin if x is positive (or negative), and y units up (or down) if y is positive (or negative). If the point is (-2, 2), then it is located 2 units left and 2 units up.

Looking at the plane, this point is A.

Answer:

x=44, They are adjacent

Step-by-step explanation:

since this is right angle it is 90 degrees. You set the whole thing equal to 90, so 43+x+3=90, add 43 and 3=46. Then you subtract 90-46, you get x=44.  

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

Answer:

Hey! No need to fret ok so lc-5l =7 so we know the opposite of subtraction is addition so we add 5+7+ 13 so that mean 13-5=7

Step-by-step explanation:

Hope I helped have a good day please put me for brainliest Thank You!