What Are The Missing Parts That Correctly Complete The Proof? Given: Point M Is On The Bisector Of Angle (2024)

It implies that when F(x) shifts 7 units to the left, we get the value equal to G. (x). As a result, the graph of G(x) is the graph of F(x) with 7 units added to the left.

How is the graph of G related to the graph of f?

The graph of g is the reflection of the graph of f. If g(x) = f(-x), then the graph of g is obtained from the graph of f by reflecting about the y-axis.

For instance, the result of multiplying f(x) and g(x) is h(x) = fg (x), or h(x)=f(x)g (x). if f is the function denoted by f(x) = x2 and g is the function denoted by g(x) = x + 3.

Therefore,

The Correct answer is : The two functions G(x) and F are provided to us (x).

We must determine which assertion most accurately contrasts the graphs of G(x) and F(x).

Suppose

F(x) = x [/ tex]

G(x) = x-7

When x = 1 is substituted

So, F(x) = 1

G(x) = 1-7 = -6

It implies that we obtain the value equal to the value of G when F(x) shifts 7 units to the left (x).

The graph of G(x) is therefore the graph of F(x) with 7 units added to the left.

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Answer:

Yes, an absolute value can never be false. So, the answer is true.

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]

Answer:−6x4−3x3−2x2−4x−7x2+3=−6x2−3x+16+5x−55x2+3.

Step-by-step explanation: −6x4−3x3−2x2−4x−7x2+3. The Long Division method: −6x2−3x+16

The cost of 1 pound of orange will be $1.5. The total payment was $15. The total weight of orange was 10 pounds.

What is unitary method?

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. A single or distinct unit is referred to by the word unitary. Therefore, the goal of this method is to establish values in relation to a single unit. The unitary method, for instance, can be used to calculate how many kilometers a car will travel on one litre of gas if it travels 44 km on two litres of fuel. The unitary method involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.

Here,

cost of 2 pound of orange=$3

cost of 5 pound of orange=$7.50

cost of 3 pound of orange=$4.50

Therefore,

The cost of 1 pound of orange is $1.5

The total payment made=$7.50+$4.50+$3

=$15

The total weight of oranges=2+3+5

=10 pounds

One pound of oranges will cost $1.5. $15 was paid in total. Orange weighed ten pounds in total.

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Missing coordinates for the ordered pairs given are A= 4 and B= 18.

What are coordinates ?

An integer pair used to define a point's location on a coordinate plane using the horizontal and vertical separations from the two reference axes Coordinates are two numbers (Cartesian coordinates) or, less frequently, a letter and a number that identify a specific location on a grid, also known as a coordinate plane. They are frequently represented by the x-value and y-value pair (x,y). The x (horizontal) and y (vertical) axes are the two axes of a coordinate plane with four quadrants (vertical)

Calculation

12/A = 9 / 3

A = 4

Same as above

B/6 = 9/3

B = 18

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Solve the operation of the matrix

[tex]\begin{gathered} 2\begin{bmatrix}{8} & {-x} & {} \\ {5} & {6} & {} \\ & {} & {}\end{bmatrix}{}-\begin{bmatrix}{3} & {-9} & {} \\ {10} & {-4y} & {} \\ {} & {} & {}\end{bmatrix}=\begin{bmatrix}{13} & {4} & {} \\ {0} & {16} & {} \\ {} & {} & {}\end{bmatrix} \\ \begin{bmatrix}{16} & {-2x} & {} \\ {10} & {12} & {} \\ {} & & {}\end{bmatrix}-\begin{bmatrix}{3} & {-9} & {} \\ {10} & {-4y} & {} \\ {} & {} & {}\end{bmatrix}=\begin{bmatrix}{13} & {4} & {} \\ {0} & {16} & {} \\ {} & {} & {}\end{bmatrix} \\ \begin{bmatrix}{13} & {-2x+9} & {} \\ {0} & {12+4y} & {} \\ {} & {} & {}\end{bmatrix}=\begin{bmatrix}{13} & {4} & {} \\ {0} & {16} & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}[/tex]

From this result we know that

[tex]\begin{gathered} -2x+9=4 \\ 12+4y=16 \end{gathered}[/tex]

Now clear x and y from the equations

[tex]\begin{gathered} -2x+9=4 \\ -2x=-5 \\ x=-\frac{5}{-2} \\ x=\frac{5}{2} \end{gathered}[/tex][tex]\begin{gathered} 12+4y=16 \\ 4y=4 \\ y=\frac{4}{4} \\ y=1 \end{gathered}[/tex]

x is 5/2 and y is 1

Answer:

There's nothing that can be done with the given information

Step-by-step explanation:

Answer:

The larger number is 33

Step-by-step explanation:

Writing and solving a system of equations

Let x and y be the numbers

sum of two numbers is 38

x+y = 38

their product is 165

xy = 165

x = 38-y

Substitute this into xy =165

(38-y) * y = 165

38y - y^2 = 165

-y^2 + 38y -165 = 0

Multiply by -1

y^2 - 38y + 165 =0

Factor

( y-33) ( y-5) = 0

Using the zero product property

y -33 =0 y-5 =0

y =33 y=5

Now we can find x for each solution

x = 38-33 =5 x = 38-5 = 33

The two numbers are 33 and 5

The larger number is 33

Answer

Option C is correct.

Sandra will be paid 72.30 dollars for babysitting for 12 hours.

Explanation

We are told that Sandra earned 60.25 dollars babysitting 10 hours.

If she babysits at the same rate, we are asked to calculate the amount she would earn if she babysits for 12 hours.

Let the amount Sandra is paid for babysitting for 12 hours be x dollars

10 hours = 60.25 dollars

12 hours = x dollars

We can write a mathematical relationship by cross multiplying

10 × x = 12 × 60.25

10x = 723

Divide both sides by 10

(10x/10) = (723/10)

x = 72.3 dollars

Hope this Helps!!!

The surface area of the prism is 1440 mm²

Given,

Triangular prism

Height of the prism = 32 mm

Base of the prism = 24 mm

Length of the prism = 7 mm

We have to find the surface area of the prism;

Surface area, SA = bh + (b₁ + b₂ + b₃) l

Here,

Base, b = 24 mm

Height, h = 32 mm

Length, l = 7 mm

b₁ = 24 mm

b₂ = 32 mm

b₃ = [tex]\sqrt{b_{1} ^{2} + b_{2} ^{2} }[/tex] = [tex]\sqrt{24^{2}+ 32^{2} }[/tex] = [tex]\sqrt{576 + 1024}[/tex] = √1600 = 40 mm

Then,

Surface Area = bh + (b₁ + b₂ + b₃) l

SA = 24 x 32 + (24 + 32 + 40) 7

SA = 768 + 96 x 7

SA = 768 + 672

SA = 1440 mm²

That is,

The surface area of the prism is 1440 mm²

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The factor the binomial

[tex]a^2-b^2[/tex]

Find the square root of a and the square root of b, then put them as the product of the sum and difference of these square roots

[tex]\begin{gathered} \sqrt{a^2}=a \\ \sqrt{b^2}=b \\ a^2-b^2=(a+b)(a-b) \end{gathered}[/tex]

We will use this rule to factor in the given expression

[tex]36x^2-49[/tex]

Find the square root for each term

[tex]\begin{gathered} \sqrt{36x^2}=6x \\ \sqrt{49}=7 \end{gathered}[/tex]

Write the two factors

[tex]36x^2-49=(6x+7)(6x-7)[/tex]

The answer is the last choice (6x + 7)(6x - 7)

Recall that two equations in standard form represent parallel lines if they are as follows:

[tex]\begin{gathered} Ax+By=C_1, \\ Ax+By=C_2, \end{gathered}[/tex]

Where A>0, and all the coefficients are integers.

Therefore the equation of a parallel line to the given line is as follows:

[tex]3x+5y=k[/tex]

Since the parallel line passes through (15,4) then:

[tex]3*15+5*4=k.[/tex]

Simplifying the above result we get:

[tex]\begin{gathered} 45+20=k, \\ k=65. \end{gathered}[/tex]

Therefore:

[tex]3x+5y=65.[/tex]

Solving the above equation for y we get:

[tex]\begin{gathered} 3x+5y-3x=65-3x, \\ 5y=-3x+65, \\ \frac{5y}{5}=-\frac{3x}{5}+\frac{65}{5}, \\ y=-\frac{3}{5}x+13. \end{gathered}[/tex]

Answer: Last option.

Answer:

D

Step-by-step explanation:

Theslopeof the the straight line equation3x+5y=11is(−35)Hence the slope of the line parallel is same to the given line i.e,(−35)We can write the equation in the following form slope intercept form i.e,y=mx+cHerec=−6andm=−35The answer isy=−35x−6⇒5y=−3x−30⇒3x+5y=−30Hope it helps...Thanks you...

[tex]\begin{gathered} \cos (-\frac{7\pi}{2})=\cos (\pi+\frac{\pi}{2}) \\ \cos (-\frac{7\pi}{2})=\cos (\frac{3\pi}{2}) \end{gathered}[/tex]

As we know:

[tex]\begin{gathered} \cos (x)=0 \\ for \\ x=\pi n-\frac{\pi}{2} \\ n\in Z \end{gathered}[/tex]

For:

[tex]\begin{gathered} n=2 \\ x=2\pi-\frac{\pi}{2}=\frac{3\pi}{2} \\ for \\ n=-3 \\ x=-3\pi-\frac{\pi}{2}=-\frac{7\pi}{2} \end{gathered}[/tex]

Therefore:

[tex]\begin{gathered} \cos (-\frac{7\pi}{2})=0 \\ and \\ \cos (\frac{3\pi}{2})=0 \\ so\colon \\ 0=0 \\ This_{\text{ }}is_{\text{ }}true \end{gathered}[/tex]

Therefore, the statement is true

the answer to part a is 72,114 this is because 7.4% of 34,179 is 2529 so 2529 multipled by 15 would give you 37,935 so now you must add 37,935 + 34,179 which would give you 72,114

part b) final balance is 76,115.22 and the compounded intrest is 4,001.22

Answer:

85

Step-by-step explanation:

There is a property of angle of triangles.

Exterior angle = Sum of opposite interior angles

7x + 8 = 3x - 9 + 61

7x + 8 = 3x + 52

7x - 3x = 52 - 8

4x = 44

x = 44/4

x = 11

m∠WHG = 7x + 8

= 7 ( 11 ) + 8

= 77 + 8

m∠WHG = 85

Answer:

Angle WHG is 85 degrees.

Step-by-step explanation:

180 - 85 = 95 (Angle FHG.)
3(11) - 9 = 24 (Angle GFH.)
A triangle's angles always add up to 180 degrees.

The function f(x) = 3x⁴ + 2x³ - 12x - 6 is equal to 60 for x = -2.

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following equation -

[tex]3x^4+2x^3-12x-6[/tex]

We have -

f(x) = 3x⁴ + 2x³ - 12x - 6

for x = - 2

f(- 2) = 3(-2)⁴ + 2(-2)³ - 12(-2) - 6

f(-2) = 48 - 16 + 24 - 6

f(- 2) = 48 + 8 - 6

f(- 2) = 60

Therefore, the function f(x) = 3x⁴ + 2x³ - 12x - 6 is equal to 60 for x = -2.

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Answer:

The answer is C

Step-by-step explanation:

it's always the one in the lines at least that's what my math teacher told me he said it's really easy All you have to do is pick the ones with the lines there's more to it when you're doing homework but when there's just like a few questions it's way easier

Answer:

f(x) = (2x + 3)(2x + 1)

Explanation:

The form that best reveals the zeros of the function is:

f(x) = (x - a)(x - b)

Where a and b are the zeros of the function.

So, we need to apply the distributive property as:

[tex]\begin{gathered} f(x)=2(2x^2+4x)+3 \\ f(x)=2\cdot2x^2+2\cdot4x+3 \\ f(x)=4x^2+8x+3 \end{gathered}[/tex]

Then, we can factorize the quadratic function as:

[tex]f(x)=(2x+3)(2x+1)[/tex]

So, now we can identify the zeros of the function if we solve the following equation:

[tex]\begin{gathered} f(x)=(2x+3)(2x+1)=0 \\ 2x+3=0\rightarrow x=-\frac{3}{2} \\ or \\ 2x+1=0\rightarrow x=-\frac{1}{2} \end{gathered}[/tex]

Therefore, the form that best reveals the zeros in the function is:

f(x) = (2x + 3)(2x + 1)

Apply the compound interest formula:

• A= P (1 + r/n)^nt

Where:

A = future value

P = Principal investment = $10,000

r = interest rate in decimal form = 7.5 /100 = 0.075

n= number of compounding periods per unit t = 1 (anually)

t= years = 20

Replacing:

A = 10,000 ( 1+ 0.075 )^20

Answer:

21.07

Step-by-step explanation:

In order to determne the increse in the number of players, estimate the percentage increase. Proceed as follow:

First, calculate the difference in the number of player:

96 - 80 = 16

next, determine what is the associated percentage of such difference:

(16/80)(100) = 20%

Hence, the percentage increase was of 20%

The concrete required to make the tank be 27.4122 m³.

Given, a concrete tank has an external diameter of 10 m and an internal height of 3 m. If the walls and bottom of the tank are 30 cm thick.

External diameter = 10 m

Height = 3 m

Thickness = 0.3 m

External radius = 5 m

Internal radius = 5 - 0.3 = 4.7 m

Volume = πh(e.r² - i.r²)

Volume = (3.14)(3)(5² - 4.7²)

Volume = 9.42(9.7)(0.3)

Volume = 27.4122 m³

Hence, the concrete required to make the tank be 27.4122 m³.

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Answer: 1. 0.185185185 keeps going

2. 56

3. 63.02

Step-by-step explanation:

Answer:

(b - 4)(b - 3)

Step-by-step explanation:

b² - 7b + 12

consider the factors of the constant term (+ 12) which sum to give the coefficient of the b- term (- 7)

the factors are - 4 and - 3 , since

- 4 × - 3 = + 12 and - 4 - 3 = - 7 , then

b² - 7b + 12 = (b - 4)(b - 3)

We want to plot the graph of the equation;

[tex]y=4x[/tex]

we can do this by assuming to different values of x and deriving the corresponding values of y at those points.

for x= -4;

[tex]\begin{gathered} y=4(-4) \\ y=-16 \end{gathered}[/tex]

Also taking a second point.

at x = 0;

[tex]\begin{gathered} y=4(0) \\ y=0 \end{gathered}[/tex]

Since the equation is a linear equation, the graph will be a straight line graph;

the graph will be a straight lin passing through the two points derived.

[tex](-4,-16)\text{ and (0,0)}[/tex]

the graph of the given equation can be shown below;

Point C (7 , 52.5) represents a solution of the equation of line y =7.5x

A point is a solution of the equation if and only if it satisfy the line equation.

To check point C is solution o it should satisfy the equation of line y = 7.5x

In point C , x = 7 and y = 52.5

putting x in equation of line and solving for y ,

y = 7.5(7)

y = 52.5

which is true so ,

The coordinates (7 , 52.5) make the equation true

so , (7,52.5) is a solution of y = 7.5x

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