ista father has an age that is 2 years greater than four times her age.The sum of their ages is 57 yeasrs

Answer:

Just look at the other answer

Step-by-step explanation:

The polynomial which shoud be filled in the blank is (x+2).

Given expression ([tex]x^{2} -4)/x^{2} =x-2[/tex]  and the expression (x+2)____=[tex](x^{2} -4)[/tex]

We have to  find a polynomial which fills the blank in the given expression.

Polynomial is expression of more than two algebraic terms mainly the sum of several terms that contain different powers of the same variable.

We have been given [tex](x^{2} -4)/x+2=x-2[/tex]

first multiply both sides by (x+2)

([tex]x^{2}[/tex]-4)/(x+2) *(x+2)=(x-2)(x+2)

cancelling (x+2) from numerator and denominator we get

([tex]x^{2}[/tex]-4)=(x-2)(x+2)

If we carefully observes the expression we found that both the given expression in which blank takes place are same just on the place of blank there is (x+2).

Hence the polynomial which fills the blank is (x+2).

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Question is wrong as in this the expressions would be :

([tex]x^{2} -4)/x+2=x-2[/tex] and (x+2)____=[tex]x^{2} -4[/tex]

Answer:

  (c)  -3.8, 3

Step-by-step explanation:

The solutions to the equation f(x) = g(x) are the values of x where the function values are equal. These are the x-coordinates of the points where the graphs of y=f(x) and y=g(x) intersect each other.

The points where the graphs cross can be estimated to be ...

  (-3.8, 6.5) and (3, -6)

The x-coordinates of these points are the solutions to the equation:

  x = -3.8, 3

Answer:

$283

Step-by-step explanation:

Let,

   x - for $2 notes

   x + 16 - for $5 notes

EQUATION:

  (x) + (x + 16) = 74

  2x = 74 - 16

  2x = 58

  x = 29

SUBSTITUTE

  x = 29 pieces of $2 notes

  x + 16 = 29 + 16 = 45 pieces of $5 notes

TOTAL VALUE IS:

   (29 x $2) + (45 x $5) = $283

a) The gradient of a line perpendicular to AB is -2.

b) equation of line is y=-2x+6

The gradient is the measure of the steepness of a straight line.

a)The gradient of line is

=(-2-2)/(7+1)

=-4/8

=-1/2

So, gradient of a line perpendicular to AB is  -2

b)The coordinates of mid point (3, 0)

m = -2

So,

0= -6+ b

b= 6

So, equation of line is y=-2x+6

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Answer:

[tex]\sf \dfrac{3}{{z-3} }[/tex]

Explanation:

[tex]\Longrightarrow \sf \dfrac{1}{z} \div \dfrac{z-3}{3z}[/tex]

apply the theorem when [tex]\dfrac{a}{b} \div \dfrac{c}{d}[/tex] then [tex]\dfrac{a}{b} \times \dfrac{d}{c}[/tex]

[tex]\Longrightarrow \sf \dfrac{1}{z} \times \dfrac{3z}{z-3}[/tex]

Join the fractions

[tex]\Longrightarrow \sf \dfrac{3z}{z({z-3)} }[/tex]

Cancel out common factor z

[tex]\Longrightarrow \sf \dfrac{3}{{z-3} }[/tex]

The answer is : [tex]\boxed {\frac{3}{z-3}}[/tex]

Remember that dividing fractions is the same as multiplying the 1st fraction by the reciprocal of the other.

[tex]\mathsf {\frac{1}{z} \div \frac{z-3}{3z}}[/tex]

[tex]\mathsf {\frac{1}{z} \times \frac{3z}{z - 3}}[/tex]

[tex]\mathsf {\frac{3}{z-3}}[/tex]

Answer:

(-2,4)

Step-by-step explanation:

By going 3 back you go 0,-1,-2 then you are already up 2 so if you go up 2 more you are at (-2,4). Hope this helps!

The area of the window is 8[tex]m^{2}[/tex].

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely cover the surface of a closed figure.

The word "area" refers to a free space. The length and width of a form are used to compute its area.

Any shape's area can be calculated by counting how many unit squares will fit inside of it.

According to the question,

Length of window=2m

Width of window=4m

Area of window=Length*Width

                          =2*4

                          =8[tex]m^{2}[/tex]

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Answer:

x= 54/7

Step-by-step explanation:

x= 54/7

Answer:

x = 54/7

Step-by-step explanation:

7x = 54

Divide both sides by seven (7)

7x/7 = 54/7

7 cancel out 7

x = 54/7

Answer:

perimeter=80 area=252

Step-by-step explanation:

The perimeter is the total length of the boundary of the shape added together: 12+20+12+8+20+8=80

The area is the value of the space inside the shape: the rectangle would be 20*9=180 plus the two triangles: (8*9)/2 = 36 180+72=252

Answer:

p=80 a=252

Step-by-step explanation:

Add all side lengths to get the perimeter.

20+12+12+8+20+8=80

Perimeter is 80

Area of a trapezoid is average of parallel lines*height

((20+36)/2)*9=252

Area=252

Answer:

The tangent of the angle is 1

Step-by-step explanation:

The solution is in the image

The given equation-(3x + 5)^2 is not a perfect trinomial because it is not obtained through the multiplication of a binomial.

A perfect square trinomial is takes the algebraic expression form ax^2 +bx + c, where the square root of the first term and the third term is the equation to the second term.

Given that:

-(3x + 5)^2

Open brackets

= - (9x +30x + 55)

Multiply through by (-)

= -9x^2 - 30x - 55

Therefore, we can conclude that the given equation-(3x + 5)^2 is not a perfect trinomial because it is not obtained through the multiplication of a binomial. i.e. the multiplication of the square root of the first and the third term did not result in the 2nd term.

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Answer:

Answer is in the photo

Step-by-step explanation:

The formula for multiplying two numbers with same base but different exponents is

a^m×a^n= a^(m+n)

Answer: 25.33

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so

[tex]\frac{x}{28}=\frac{38}{42}\\\\x={28} \left(\frac{38}{42} \right) \approx \boxed{25.33}[/tex]

The true statement about the graph from the attached image below is: The material's temperature reaches a minimum at 15 hours.

The parabolic graph is a curved U-shaped graph that is established from a quadratic equation.

The parabola of the graph can be downward creating a maximum or upward (minimum).

From the given image, the correct interpretation shows that as a result of cryogenic treatment, the material's temperature reaches a minimum at 15 hours.

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Based on the points on the graph, the correct matches are:

To find a point, you need to look at the x-axis first and then the y-axis.

Find where the point is located on the x-axis, and then look for where the point intersects with the y-axis point.

For instance, the point A is located at (-4, -2) so look at the -4 point on the x axis, then go down to the -2 point on the y-axis. You'll find point A.

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Answer:

Event A: 1/2

Event B: 5/8

The linear function x = -2.5 is plotted on the graph attached with an x intercept at (-2.5, 0)

An equation is an expression that shows the relationship between two or more numbers and variables.

A linear equation is in the form:

y = mx + b

Where m is the slope and b is the y intercept.

The linear function x = -2.5 is plotted on the graph attached with an x intercept at (-2.5, 0)

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The perpendicular line to line t is drawn below.

The two-line in which the angle between these two lines is 90° i.e. both are right angle to each other then two lines are perpendicular to each other.

Here the given point is point A.

and the line given is line t

we have to draw a line that should be perpendicular to line t.

Let that perpendicular line cut the line t at the point O.

OA ⊥ t

∠AOt= 90°

From above we can draw the line OA which is perpendicular to line t.

The picture is drawn below.

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A (n) Shaded background Appears behind selected text so option. 4) Is  correct.

What is shading background?

Shading background is process, When  selecting a particular  text there behind the text a shad will form which shows the number of texts selected

Thus,  shaded background appears behind selected text

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Answer:  75

Step-by-step explanation:

5a = 5(15) = 75

The equation s% of 1/r translates to the expression s/100r

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

s% of 1/r

= (s/100) * (1/r)

= s/100r

The equation s% of 1/r translates to the expression s/100r

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Answer:

D. 62.5

Step-by-step explanation:

2 ways

1.

7.5 ÷ 3 = 2.5

25 times 2.5 = 62.5

2.

3/7.5 = 25/x

3x = 187.5

187.5 ÷ 3 = 62.5

The actual distance for a length on a map is 62.5. so correct option is D.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Given The scale on a map reads 3 inches = 25 miles.

If two cities are 7.5 inches apart on the map,

Find the actual distance for a length on a map.

Let x be the actual distance

7.5 ÷ 3 = 2.5

25 times 2.5 = 62.5

Thus,

3/7.5 = 25/x

3x = 187.5

187.5 ÷ 3 = 62.5

Therefore, the actual distance for a length on a map is 62.5.

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Answer:

13.994[tex]cm (5.sf)[/tex]

Step-by-step explanation:

We know that the base of the cylinder is a circular base.

So circumference of base = [tex]2\pi r[/tex]

Given [tex]2\pi r=22cm\\\\r=\frac{22}{2\pi } \\r=\frac{11}{\pi } cm\\[/tex]

Volume of a cylinder = [tex]\pi r^{2} h[/tex] = 539[tex]cm^{3}[/tex]

Substitute r into the formula for volume of cylinder.

[tex]\pi (\frac{11}{\pi } )^{2} h=539\\\pi (\frac{121}{\pi ^{2} } )h=539[/tex]

Now, we will cancel [tex]\pi[/tex] from the numerator and denominator.

[tex](\frac{121}{\pi } )h=539\\h = \frac{539}{\frac{121}{\pi } } \\h = 539 * \frac{\pi }{121} \\h = 13.994cm(5s.f)[/tex]

Answer:

Aproximated height is:

14 cm

Step-by-step explanation:

volume of a cylinder = л r² h

л = 3.1416 (aprox)

r = radius

h = height

r = circunference/2л

r = 22/(2*3.1416)

r = 3.5    (aprox)

then volume is:

539 = 3.1416 * 3.5² * h

539 = 3.1416 * 12.25 * h

539 = 38.5 * h

h = 539/38.5

h = 14 cm     (aprox)

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Formula for finding the circumference:}[/tex]

[tex]\mathbf{2\times\pi\times radius = circumference}[/tex]

[tex]\huge\textbf{So, your equation should look like this:}[/tex]

[tex]\mathbf{\boxed{\textbf{circumference}} \approx 2\times3.14\times10}[/tex]

[tex]\huge\textbf{Now, that we have that information}\\\\\huge\textbf{out of the way, we can answer the}\\\\\huge\textbf{question, shall we begin?}[/tex]

[tex]\mathbf{\boxed{\textbf{circumference}} \approx 2\times3.14\times10}[/tex]

[tex]\mathbf{\boxed{\text{\bf circumference}}\approx 6.28 \times 10}[/tex]

[tex]\mathbf{\boxed{\bf circumference} \approx 62.8}[/tex]

[tex]\huge\textbf{Answer:}[/tex]

[tex]\huge\boxed{\textsf{Option C. 62.8 cm}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Answer is C 62.8cm

Step-by-step explanation:

I just took the quiz!

An expression is defined as a set of numbers, variables, and mathematical operations. The sum of three and the square root of a number is expressed as 3 + √x.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the unknown number be represented by x.

1.) The sum of three and the square root of a number.

3 + √x

2.) Nine less than a number cubed.

x³ - 9

3.) The quotient of a number and 7.

x ÷ 7

4.) Four times a quantity plus five.

4x + 5

Hence, The sum of three and the square root of a number is expressed as 3 + √x.

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Answer:

9.4 in

Step-by-step explanation:

sin A = O/H

sin 19° = x/29

x = 29sin19°

x = 9.441 in

x = 9.4 in

Answer: y = [tex]\frac{1}{4}[/tex]x - 3 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

    Slope-intercept form is in the form of y=mx + b where m is the slope and b is the y-intercept.

    We are given the slope, so we will plug this in.

y = mx + b

y = ([tex]\frac{1}{4}[/tex])x + b

    Now, we will solve for the y-intercept by plugging in the point they give us.

y = ([tex]\frac{1}{4}[/tex])x + b

(-2) = ([tex]\frac{1}{4}[/tex])(5) + b

-2 = 1.25 + b

-3 [tex]\frac{1}{4}[/tex] = b

    Lastly, we will plug this variable into the equation we wrote above for our final answer.

y = [tex]\frac{1}{4}[/tex]x - 3 [tex]\frac{1}{4}[/tex]

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Answer:

22

Step-by-step explanation:

The line where it says 2cm, extend that line to the top. You know have 2 triangles, call the one on the left A and the one on the right B

area of recntangle = bh

Rect A:

b = 5

h = 4 - 2

h = 2

bh = 5 x 2

bh = 10

Rect B:

b = 3

h = 4

bh = 4 X 3

bh = 12

Total = 10 + 12

Total = 22