amanda is 25 years old. in 5 years she will be twice as old as simone how old i simone

[tex] {6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2[/tex]

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Doubt clarification - use comment section.

The isosceles triangle having an angle bisector [tex]\overline{AD}[/tex] forms two congruent triangles.

Reasons:

The given parameters are;

ΔABC is an isosceles triangle.

[tex]\overline{AB}[/tex] ≅ [tex]\overline{AC}[/tex]

[tex]\overline{AD}[/tex] bisects ∠BAC

Therefore, the proof that ∠ABD  ≅ ∠ACD is given as follows;

1. [tex]\overline{AB}[/tex] ≅ [tex]\mathbf{\overline{AC}}[/tex] (Given)

2. [tex]\overline{AD}[/tex] bisects ∠BAC (Given)

3. ∠BAD ≅ ∠CAD (Definition of angle bisector)

4. [tex]\overline{AD}[/tex] ≅ [tex]\mathbf{\overline{AD}}[/tex] (Reflexive property of congruency)

5. ΔBAD ≅ ΔCAD (Side Angle Side, SAS rule of congruency based on steps 1, 3 and 4)

6. ∠ABD ≅ ∠ACD (Congruent Parts of Congruent Triangle are Congruent, CPCTC)

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Answer:

15 dots

Step-by-step explanation:

formula :: 1/2 x n ( n +1 )

fig 1 ; 1 /2 x 1 ( 1+1 ) = 1 dot

fig 2 :; 1/2 x 2 ( 2+1 ) = 3 dots

......

fig 5 :: 1/2 x 5 ( 5+1 ) = 15 dots

Answer:

Step-by-step explanation:

Choosing a white pen from box a

461.176470588

Explanation:

2×56=112

112×420=47040

---------------------------------

3×34=102

---------------------------------

47040÷102=461.176470588

Answer:

4

Step-by-step explanation:

The graph of the function is attached in the solution.

A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.

Given is an equation, y = 2x-4, we need to determine its graph,

So, for the same, finding the coordinates,

y = 2x-4

Put x = 0

y = -4

(0, -4)

Put x = 1

y = -2

(1, -2)

Put the coordinates on the graph and the join them, the line obtained by this will represent the graph of the function given.

Hence. the graph of the function is a straight line.

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Answer: this is not a function because the X values are repeating for example we see that 0 is set in the X value side it can’t have 5 and -5 as it’s y at the same time therefor it’s not a function

Answer:

amplitude = 2

Step-by-step explanation:

Given sine in standard form

y = asinbx + c

amplitude = | a | , period = [tex]\frac{2\pi }{b}[/tex] , c is the vertical shift

Given

y = - 2sin(3x) + 6

amplitude = | - 2 | = 2

lmk if you're looking for point slope form but it's y =  2/5x - 3

Answer: slope: 3/2

y-intercept: (0,-4)

Step-by-step explanation:

y=3/2x-4 is slope intercept form

Answer:

The answer is B

Step-by-step explanation:

The answer would be B because the domain of a function is always all real numbers.

Answer:

Step-by-step explanation:

When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"

Group together two terms, watch out for the negative signs!

x^3 + 2x^2-5x-10=0

(x^3 + 2x^2) - (5x+10)=0

Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.

x^2(x+2)-5(x+2)=0

Now you can factor out that (x+2) because it is both terms.

x^2(x + 2) - 5(x + 2)=0

~~~~ ~~~~

Pull these out.

What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)

(x + 2)(x^2 - 5) = 0

If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.

x = -2 and x = +- sqrt5

The length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].

Geometrically speaking, the rectangle area is equal to the product of its base and its length. According to the statement the area is represented by a third order polynomial and width by a first order polynomial and, thus, length must be a second order polynomial.

By factor the polynomial we get the following roots:

[tex]A = 3\cdot x^{3}+14\cdot x^{2}-23\cdot x + 6[/tex]

[tex]A = (x+6)\cdot (x-1)\cdot \left(x-\frac{1}{3} \right)[/tex]

Then, the length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].

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Answer:

3.7 and east.

Step-by-step explanation:

Answer:

3.7 and east

Hope this helps! Good luck!! :)

Answer:

5aaaaaaaaaaaaaaaaaaaaaaaa

The description of the intersection of plane A and plane B is line CD

From the question (see attachment for the diagram of both planes), we have the following highlights

Both planes meet at the line that joins points C and D.

Hence, the description of the intersection of plane A and plane B is line CD

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Answer:

The first answer, CD, is correct.

Edg, 2023

2,000 Sorry That Was I Know #carryonlearning

Answer:

x = 4

Step-by-step explanation:

Use elimination method.

-----------------

3x + 5y = 10

-(1x + 5y) = -1(2)

-1x -5y = -2

------Simiplify------

2x = 8

x = 4

Answer:

Is the question worded properly?

I find the intersection of the two lines to be (5,1), which is not an answer option.

Step-by-step explanation:

We want the value of x that will produce a value of 1, which will be the point the curve crosses y = 1.  

log (10) = 1

Therefore 2x = 1, and x = 5

(5,1)

Answer:

48

Step-by-step explanation:

4 plus 8 is 12 and the ones digit is double the tens digit

Answer:

So Jennys Jean store charges the higher rate.

Step-by-step explanation:

Jeanys Jean store

Cost/pair = 20/1 = $20 per pair

Jeans warehouse

Cost/pairs = 36/2 = $18 per pair

So Jennys Jean store charges the higher rate.

Answer:

x=5

Step-by-step explanation:

First you combine the like terms. next you add 7+23. After that you subtract 10 from both sides. You're left with 4x=20. divide the equation by 4 on each term. Then you're left with x=5.

Answer:

The pythagorean theorem is:

H = [tex]\sqrt{s_1^2 + s_2^2}[/tex]

With H being the hypotenuse, s1 one side, s2 the other one. He already has a side and the hypotenuse so he has to calculate the inverse formula:

s2 = [tex]\sqrt{H^2 - s_1^2}[/tex]

So the real side will be:

square root of (15^2 - 10^2) = square root of (225 - 100) = 125 m

Jason made a mistake calculating the squares of the hypotenuse and the side, he didn't subtract and didn't take the root of the result.

Answer:

24 Square Inches

Step-by-step explanation:

Answer: last one

Step-by-step explanation:

Answer:

I think it's B.

Step-by-step explanation:

Based on the information given, it can be deduced that the perimeter of the garden will be 56 feet.

Since the rectangular garden is surrounded by a 6ft-wide and 8ft-long and Sally wants to double the dimensions, the new dimensions will be 12ft and 16ft.

Perimeter of a rectangle = 2(l + w)

Perimeter = 2(12 + 16)

Perimeter = 2(28)

Perimeter = 56 feet.

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