If , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .

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Answer:

a

Step-by-step explanation:

r and t are same- side exterior angles and sum to 180 , so

t + r = 180 , that is

t + 91 = 180 ( subtract 91 from both sides )

t = 89

t and u are vertically opposite angles and are congruent , so

u = t = 91

Then

t + u = 89 + 89 = 178 → a

Answer:

Step-by-step explanation:

Even though this seems like a crazy trick question it isn’t. An empty pool with a closed drain takes 3 hours to fill. A full pool with and open drain takes 4 hours to empty. So to fill and empty pool with an open drain, i’d say in my opinion it’d either take 7 hours or you wouldnt be able to fill it at all. I mean it’s an open drain

hope this helped :3

:3 byeeeeeeeeeeeeeeeee

Answer:

x = 10

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sides.    

In an isosceles the legs are equal (2x - 6) and the base is x

Perimeter = (x) + (2x - 6) + (2x - 6)

          38  = 5x - 12

        38 + 12 = 5x

            50 =   5x

              [tex]\frac{50}{5} = \frac{5x}{5}[/tex]

               10 = x

Answer:

-7/4 is between -2 and -1 1/2

11/4 is in between 2 1/2 and 3

Step-by-step explanation:

-7/4 is -1.75 which means its right before -2

11/4 is 2.75 which means it's right before 3

Answer:

$3

if we wanted to find how much 1 bottle would cost we would do 6/6=1 and from that we now know that 1 bottle of water costs $1 so if we times that by 3 to find out how much 3 bottles will cost we get $3.

Equation =》s = x² - 3

To change the subject to 'x' :-

[tex]\tt\:s = x ^ { 2 } - 3[/tex]

[tex]\tt\:x^{2}-3=s[/tex]

[tex]\tt\:x^{2}=s+3[/tex]

So,

[tex]\boxed{\tt\:x=\sqrt{s+3}}[/tex]

[tex]\boxed{\tt\:x=-\sqrt{s+3}\text{, }s\geq -3}[/tex]

=》'x' can be any of the 2 values in the boxes.

_______

Hope it helps ⚜

Answer:

I agree with RainbowSalt2222

Step-by-step explanation:

It is correct exactly what I got

Answer: 4k^2 - 9k - 9 = 0

Step-by-step explanation:

lmk if i was right please and ty

Answer:

II quadrant

Step-by-step explanation:

Looking at the drawing, you can determine that the point with

coordinates (-2 ; 5) is in the II quadrant

Answer:

AAS Congruence Theorem

Step-by-step explanation:

the lines in the angle show similarity. so angle FGJ= angle HJG, similarly, angle F= angle H.GJ is the same as JG so this side of both triangles is congruent. since the order of congruency is the same (triangle GHJ: angle H, angle HJG, then JG; triangle JFG: angle F, angle FGJ, then GJ) and the congruent side length isn't between the congruent angles, it's AAS

Answer:

[tex]\frac{1}{9}[/tex] , 3 , 10

Step-by-step explanation:

Using the rules of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^m}[/tex]

[tex]a^{0}[/tex] = 1

(a)

[tex]6^{-x}[/tex] = [tex]\frac{1}{6^{x} }[/tex] = [tex]\frac{1}{9}[/tex]

(b)

[tex]6^{\frac{x}{2} }[/tex] = [tex]\sqrt{6^{x} }[/tex] = [tex]\sqrt{9}[/tex] = 3

(c)

[tex]6^{0}[/tex] + [tex]6^{x}[/tex] = 1 + 9 = 10

The answer for the first question is A

The answer the second question is D

Step-by-step explanation:

so, let's look at the options.

A. (x+3)/x = 3

that hurts already by just looking at it.

but let's check anyway :

x + 3 = 3x

3 = 2x

and that is only true for one value of x (3/2), but not in general.

so, this is wrong.

B. (x²+5)/5 = x² + 1

x² + 5 = 5x² + 5

x² = 5x²

that is only true for one value of x (0), but not in general.

so, this is wrong.

C. (2x+7)/(2x+9) = 7/9

9(2x+7) = 7(2x+9)

18x + 63 = 14x + 63

4x = 0

that is only true for one value of x (0), but not in general.

so, this is wrong.

D. (-5x - 10)/(x+2) = -5

-5x - 10 = -5(x + 2) = -5x - 10

now this is true in all cases, so this is correct.

make simple :

(a² - 4a + 4) / (a² - 4)

with a little bit of experience you see right away that

a² - 4a + 4 = (a - 2)²

as we know from the generic squaring

(a - b)² = a² - 2ab + b² : a perfect fit.

and

(a² - 4) = (a + 2)(a - 2)

as we know from the generic factor multiplying

(a+b)(a-b) = a² + ab - ab - b² = a² - b² : a perfect fit.

so, the given expression is actually

(a - 2)² / ((a - 2)(a + 2)) = ((a-2)(a-2)) / ((a-2)(a+2))

and so, after eliminating one (a-2) term in the numerator and in the denominator the following remains :

(a - 2) / (a + 2)

and that is answer A

Answer:

Why don't know wt is equal to..

Step-by-step explanation:

3(x + 4) - (2x + 7)

3x + 12 - 2x - 7

1x + 5

x + 5

The number of tons of corns grown on the farm is given my a multiple of

the number of acres planted.

The number of tons of corn predicted per 5 acres planted = 20 tons

Therefore, we have;

The completed table is presented as follows;

[tex]\begin{tabular}{c|c|c}\underline{Number of Acres Planted with Corn}&\underline{4 tons per acre} &\underline{Tons of Corn Grown}\\5&5 \times 4&20\\10&10 \times 4&40\\15&15 \times 4&60\\20&20 \times 4&80\end{array}\right][/tex]

Learn more about simple ratios here:

https://brainly.com/question/21751163

Answer:

B IS THE ANSWER

Step-by-step explanation:

Answer:

3 years.

Step-by-step explanation:

Answer

3 years

Step by step explanation

Interest = 1740 - 1200

= 540

SI = prt/100

540 = 1200*15*t/100

540 = 12*15*t

540 = 180*t

t = 540/180

t = 3 yrs

Answer:

6 x (3j + 5+ 4j)

6 x(8j+4j)

6 x 12

72

Step-by-step explanation:

hope this helps

Answer:

5^(3) is the exponent form which equals 125desks

Step-by-step explanation:

A row has 5 desks

A classroom has 5 rows of desks= 5*5 desks

The school has 5 classrooms

=5*5+5*5+5*5+5*5+5*5 desks

=5^(2)+5^(2)+5^(2)+5^(2)+5^(2)

=5[5^(2)]

=5^(3) = 125 desks

Answer:

x/8 + 9 =5

Step-by-step explanation:

Quotient is division and I decided to use x as my number so the first part is x/8. Then you do the nine more because more is addition to whatever is after it in our case it is x/8 so now you have x/8 + 9. Then it says equals 5 so the equation is x/8 + 9 = 5

I hope this helps!

9514 1404 393

Answer:

  27/8 = 3 3/8 miles

Step-by-step explanation:

To find the rate in miles per hour, divide miles by hours.

  (3/8 mi)/(1/9 h) = (3/8)·(9/1) mi/h = 27/8 mi/h = 3 3/8 mi/h

You can walk 3 3/8 miles in 1 hour at that rate.

Answer:

the LCM is :

1. 144

2.40

3.870

4. 63

5.216

6.150

7. 112

8.162

9. 96

10. 40

Answer:

y = 8

Step-by-step explanation:

As MTW and BGK are congruent

angle T = angle G

4x - 3 = 45

in triangle MTW

angle M = 180 - (T + W)

= 180  - (45 + 41)

= 180 - 86

= 94

and angle M = B

11y + 6 = 94

11y = 94 - 6

11y = 88

y = 8

Answer:

  m∠X = 70°

Step-by-step explanation:

In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...

  ∠A = ∠X = 70° . . . . . . . . . . . matches choice A

  ∠B = ∠Y = (90° -70°) = 20°

  ∠C = ∠Z = 90°

  AB = XY = √(3.5² +9.6²) ≈ 10.22 cm

  BC = YZ = 9.6 cm

  AC = XZ = 3.5 cm

Answer:

 m∠X = 70°

Step-by-step explanation:

In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...

 ∠A = ∠X = 70° . . . . . . . . . . . matches choice A

 ∠B = ∠Y = (90° -70°) = 20°

 ∠C = ∠Z = 90°

 AB = XY = √(3.5² +9.6²) ≈ 10.22 cm

 BC = YZ = 9.6 cm

 AC = XZ = 3.5 cm

Answer:

Can anyone agree this image is blurry? Can you send it again but not blurry this time? Sorry!

Step-by-step explanation:

Step-by-step explanation:

just like an equation.

5x - 7 > 4x + 8 | -4x + 7

x > 15

and that is your result.

in contrast to an equation, an inequality delivers a range as result and not a single point.

Answer:

[tex]\huge\boxed{\sf x > 15}[/tex]

Step-by-step explanation:

5x - 7 > 4x + 8

Subtract 4x to both sides, and Add 7 to both sides

5x - 4x > 8 + 7

x > 15

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

25

Step-by-step explanation:

25% is a 4th of the whole number, the whole number is 20 so a 4th of 20 is 5 because 5 times 4 equals 20.

due to the fact that 25% of 20 is 5 we now have to add that to the whole number which is 20.

20 + 5 = 25

Answer:

4

Step-by-step explanation:

rule 1 positive + positive= positive

rule 2 negative plus negative = negative

Answer:

To complete the square, you always want to add [tex](\frac{a}{2} )^{2}[/tex], where a is the coefficient of x.

In this case, the coefficient of x is -1.

Thus,

[tex]y=x^2-x+1[/tex]

[tex]y=x^2-x+(\frac{-1}{2})^2 +1-(\frac{-1}{2})^2[/tex]

[tex]y=(x-\frac{1}{2})^2+1-\frac{1}{4}[/tex]

[tex]y=(x-\frac{1}{2})^2+\frac{3}{4}[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: