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Alvin is 7 years older than Elga. The sum of their ages is 79. What is Elga's age?
39 уга
years old
?

Answer:

Step-by-step explanation:

We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

2(x + y) = xy and we know that y = 10x so

2(x + 10x) = x(10x) and

[tex]2(11x)=10x^2[/tex] and

[tex]10x^2-22x=0[/tex] and

x(10x - 22) = 0 so

x = 0 or 10x - 22 = 0 which makes

x equal to [tex]\frac{22}{10}=2.2[/tex]

So x = 2.2 and y = 22.

B

Step-by-step explanation:

If you're using a Casio calculator you can just change the mode to table mode. Put the equations as they are,decide the value of the X axis you want to start at and where you want to end. The step you can use 1 if you want. Press = button. You'll have the co-ordinates. Plot the co-ordinates of each equation and see which one gives a straight line graph. I started at -4 and ended at 5 and I used step 1

Answer:

Hexagon AGHBGHCGHDGHEGHFGH coincides with hexagon ABCDEF when GH passes through the midpoints of opposite sides; that is, it is a perpendicular bisector of the two sides. HexagonAGHBGHCGHDGHEGHFGH also coincides with hexagon ABCDEF when the line of reflection joins a pair of vertices opposite one another on the hexagon. There are three perpendicular bisectors and three pairs of opposite vertices. In all, there are six lines of reflection that will map the hexagon back onto itself.

Step-by-step explanation:

Answer:

(B n C) = {b,c}

A = {a,b,c}

B= {b,c,d}

C= {b,c,e}

A u (B n C) = {a,b,c}

(A u B) = {a,b,c,d}

(A u B) n C = {b,c}

(A u C) = {a,b,c,e}

(A u B) n (A u C) = {a,b,c}

Answer:

[tex]a^4-16[/tex]

[tex]\left(a^2\right)^2-4^2[/tex]

[tex]\left(a^2+4\right)\left(a^2-4\right)[/tex]

[tex]=\left(a^2+4\right)\left(a+2\right)\left(a-2\right)[/tex]

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

Hope it helps...

Have a great day!!

Step-by-step explanation:

The difference of squares: a² - b² factors to (a - b) (a + b)

Let x⁴ = (x²)²

Let 16 = 4²

Now by difference of squares x⁴ - 16 factors as (x² - 4)(x² + 4)

The front factor, (x² - 4), can factor by difference of squares again as (x - 2)(x + 2)

Answer:

14.8f + 1.8g + 12.1d

Step-by-step explanation:

combine like terms.

3.6+8.5= 12.1

6.2+8.6= 14.8

-2.7+4.5= 1.8

Step-by-step explanation:

this is the hardest I think

Hello!

[ 50; 41; 30 ] = ?

50 | 2 × 5

5 | 5 => 50 = 2 × 5²

1 |

41 | 41 => 41 = 41

1 |

30 | 2 × 5

3 | 3 => 30 = 2 × 3 × 5

1 |

[ 50; 41; 30 ] = 2 × 3 × 5² × 41 = 2 × 3 × 25 × 41 = 6 × 25 × 41 = 150 × 41 = 6150

Good luck! :)

Answer:

F-1 (x)=1/6x-2/3

Step-by-step explanation:

Use substitution, Interchange the variables, Swap the sides, movthe constant to the right, Divide both sides, Use substitution, and youll find your solution. By the way the -1 is in scientific notation!

Answer:

"10 possibilities" is the appropriate response.

Step-by-step explanation:

The numbers will be:

⇒ [tex]123 \ 456 \ 789[/tex]

Now anyway we commence with right and afterwards remove nine from eight and seeing as maintain the sequence growing.

then,

Thus, the above is the correct answer.

Answer:

acute angle and number 3 is obtuse

Step-by-step explanation:

Answer:

1/2×d1×d2

=1/2× (4+4)(6+3)

=36

Answer:

the answer is 1

Step-by-step explanation:

(√4 / √6) + (√6 / √4)

(2 / 2√3) + (2√3 / 2)

√3 / √3

= 1

Answer:

y = -5

o = 35 degrees

Step-by-step explanation:

If you replace y with -5, the statement  7y = 4y - 15 is correct. You get -35 =  -35. Hope this helped!

Answer:

Option 3 is correct

tex]\frac{1yd}{36 in}=\frac{7yd}{252 in}[/tex]

Step-by-step explanation:

1.[tex]\frac{1 in}{2.54 cm}=\frac{7 in}{17.68 cm}[/tex]

1 in=2.54 cm

[tex]7 in=2.54\times 7=17.78 cm[/tex]

[tex]\frac{1 in}{2.54 cm}=\frac{1 in}{1 in}=1[/tex]

[tex]\frac{1 in}{2.54 cm}\neq \frac{7 in}{17.68 cm}[/tex]

Hence, it is not correct.

2.[tex]\frac{1 ft}{12 in}=\frac{7ft}{74 in}[/tex]

1 foot=1 2in

[tex] 7ft=7\times 12=84 foot[/tex]

[tex]\frac{1 ft}{12 in}=1[/tex]

[tex]\frac{7ft}{74 in}\neq 1[/tex]

[tex]\implies \frac{1 ft}{12 in}\neq \frac{7ft}{74 in}[/tex]

Hence, it is not correct.

3.[tex]\frac{1yd}{36 in}=\frac{7yd}{252 in}[/tex]

1 yd=36 in

[tex]\frac{1yd}{36 in}=\frac{36}{36}=1[/tex]

[tex]7yd=7\times 36=252 in[/tex]

[tex]\frac{7yd}{252 in}=\frac{252 in}{252 in}=1[/tex]

[tex]\implies \frac{1yd}{36 in}=\frac{7yd}{252 in}[/tex]

Hence, it is correct.

4.[tex]\frac{1 m}{3.28ft}=\frac{7m}{22.86ft}[/tex]

1 m=3.28 ft

[tex]\frac{1 m}{3.28ft}=\frac{3.28}{3.28}=1[/tex]

[tex]7m=7\times 3.28=22.96 ft[/tex]

[tex]\frac{7m}{22.86ft}\neq 1[/tex]

[tex]\frac{1 m}{3.28ft}\neq \frac{7m}{22.86ft}[/tex]

Hence, option is not correct.

Answer:

Step-by-step explanation ithink your are correct because that there 19.08+18.3=11.925

Answer:

11.925

Step-by-step explanation:

Answer:

Multiplication property of the equality

Answer:

7 m

Step-by-step explanation:

A = base x height

56 = 8 x h

56/8 = h

h = 7

Answer: 80 feet

Step-by-step explanation:

We can write these as fractions and do cross multiplication with the numerator being the height of the object while the denominator being the length of the shadow:

5 * 128 = 8x

640 = 8x

80 = x

Thus, the height of the lighthouse is 80 feet tall.

Answer:.

Step-by-step explanation:

Answer:

24) x = 9.2

25) x = 30.8

Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

12 cos(40) = x

12 * 0.7660 = x

x = 9.2

Solving (25)

To solve for x, we make use of sine formula

i.e.

sin(25) = opposite ÷ hypotenuse

So, we have:

sin(25) = 13 ÷ x

Multiply both sides by

x sin(25) = 13

Divide by sin(25)

x = 13 ÷ sin(25)

Using a calculator

x = 30.8

Answer:

Father=41

Son=19

Step-by-step explanation:

Father=f

Son=s

f+s=60

Eight years ago would mean that 16 is subtracted from 60 since there is both of them

3s+s=4s

4s=44

s=11

11+8=19

33+8=41

Answer:

Slope of the line perpendicular to the given line = [tex]- \frac{1}{4}[/tex]

Step-by-step explanation:

If two are lines are perpendicular to each other,

the product of their slopes = - 1 .

That is ,

      [tex]m_ 1 \times m_2 = -1[/tex]

Slope of the given line :

[tex]m_ 1 = 4[/tex]

Hence slope of the line perpendicular to it :

                                                                [tex]4 \times m_ 2 = - 1 \\\\\frac{4}{4} \times m_2 = - \frac{1}{4} \\\\1 \times m_2 = - \frac{1}{4}\\\\m_ 2 = \frac{-1}{4}[/tex]

The slope of the line perpendicular to the equation y = 4x + 9 is m = -1/4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = 4x + 9   be equation (1)

The equation is of the form y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

Slope m = 4

Now , the second line is perpendicular to the line A , the product of slopes of the lines will be -1

So , m₁ x m₂ = -1

4 x m₂ = -1

Divide by 4 on both sides of the equation , we get

m₂ = -1/4

Therefore the value of m₂ is -1/4

Hence , the slope of the line is m₂ = -1/4

To learn more about equation of line click :

https://brainly.com/question/14200719

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Answer:

you are posting unvisibile photo pls fix it

Step-by-step explanation:

Sohail=17

afzal=16

Bilal=12

Aslam=16+5=21

pls mark me as brainlist

thanks a lot

Answer:

The median is 9

Step-by-step explanation:

The median is the number in the middle. The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.

Answer:

The answer is x = -3.

Step-by-step explanation:

To solve for (x), start by realizing that line segment IJ and line segment JK sum up to line segment IK, which equals 5. These line segments can then be turned into an equation, and the equation will look like [tex]7+x+2x+7=5[/tex].

Next, begin to solve the equation by combining like terms, which will look like [tex]3x+14=5[/tex]. Then, subtract 14 from both sides of the equation, which will look like [tex]3x=-9[/tex], and divide both sides by 3 and simplify, which will look like [tex]x=-3[/tex]. The final answer is x = -3.