y-3x=13 solve for y ‍♀️

Answer:

Step-by-step explanation:

[tex] \mathsf{ 12 {p}^{2} q - 9 {q}^{2} }[/tex]

In such an expression, the factor which is present in all terms of the expression is taken out as common and each term of the expression should be divided by the common factor to get another factor.

Factor out 3q from the expression

[tex] \mathsf{ = 3q(4 {p}^{2} - 3q)}[/tex]

Hope I helped!

Best regards!

Factorization of 12p²q-9q² is  3q(4p²-3q).

Factorization is defined as breaking an entity into a product of another entity, or factors, which when multiplied together give the original number.

Here, given expression is,   12p²q-9q²

Now, by factorizing this we get,

3q(4p²-3q)

Hence, required factorization is 3q(4p²-3q)

To learn more on factorization click:

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Answer:

answer hoga 3/2 ok.....

Answer: 3/2

Step-by-step explanation:

Answer:

(a) ∠EFH =  68°

(b) ∠EGF = 21°

Step-by-step explanation:

(a) The given parameters are;

The diameter of the circle = Segment [tex]\overline{EG}[/tex]

Arc [tex]m\widehat{FG}[/tex] = 138°

∠GFH = 22°

∠ EFG = (Angle subtended by the diameter EG at the center)

Arc mEG = 180° (Arc subtended by the diameter of a circle = 180°)

∠ EFG is subtended by the diameter EG at the center

∴ ∠ EFG = 90° (Angle at the center = 2 times angle at the circumference)

∠EFG = ∠EFH + ∠GFH  (Angle addition postulate)

∴ ∠EFH = ∠EFG - ∠GFH = 90° - 22° = 68°

∠EFH =  68°

(b) ∠EGF

Arc GH = 44°

Arc mFE + Arc [tex]m\widehat{FG}[/tex] + Arc mEHG = 360 (Sum of angles at the center of a circle)

Arc mFE = 360 - ( Arc [tex]m\widehat{FG}[/tex] + Arc mEHG )

Arc mFE  =  360 - 180 - 138 = 42°

∠EGF = Arc mFE/2 (Angle at the center = 2 times angle at the circumference)

∠EGF = 42/2 = 21°

∠EGF = 21°

Answer:

43/90

Step-by-step explanation:

We want to express 0.47777... as a ratio of two integers. To do so, we need to multiply by 10^n, where n is the number of repeating decimals. Only 7 is repeating so we multiply 0.47777... by 10. The trick to do this is to let x=0.47777... In other words, what we are doing is the following:

[tex]x=0.47777...\\10x=4.7777....\\\text{Subtract x}\\10x-x=4.7777...-x\\9x=4.7777...-0.4777...\\9x=4.3\\x=4.3/9=43/90=0.4\overline{7}[/tex]

Answer:

B.

Step-by-step explanation:

First equation: the coefficients of x and y are 3 and -2, and the constant is 4.

So the first row should be [3 -2 4].

Second equation: the coefficients of x and y are 6 and -1, and the constant is 10. Hence, the second row should be [6 -1 10].

Answer:

[tex]16x^{2} -42x+5[/tex]

Step-by-step explanation:

Sum of its zeroes=[tex]\alpha +\beta =\frac{21}{8} \\[/tex]

Product of its zeroes=[tex]\alpha \beta[/tex]=[tex]\frac{5}{16}[/tex]

Formula to form a quadratic polynomial:

[tex]p(x)=k[x^{2} -(\alpha +\beta )x+\alpha \beta ][/tex]

p(x)=[tex]k[x^{2} -(\frac{21}{8} )x+\frac{5}{16}][/tex]

p(x)=[tex]16[x^{2} -(\frac{21}{8} )x+\frac{5}{16}][/tex]

p(x)=[tex][16x^{2} -42x+5][/tex]

The quadratic polyniomial is [tex]16x^{2}-42x+5[/tex]

Let's first denote:

F - a favorable response

F' - an unfavorable response

S - successful

We know that:

[tex]P(F) = 0.6\\\\P(F')=0.4\\\\P(F\cap S)=0.5\\\\P(F'\cap S)=0.3[/tex]

So, from the conditional probability, we can calculate:

[tex]P(S|F) = \dfrac{P(S\cap F)}{P(F)} = \dfrac{0.5}{0.6}=\dfrac{5}{6}\approx\boxed{0.83}[/tex]

Answer E.

Answer:

E IS CORRECT

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A dotted line means its either greater than or less than. A undotted line means its also equal to the number aswell.

To find the right answer all you need is the first part because y has to be greater than or equal to 2 as shown from the graph. So the answer has to be A. As it is the only one that shows this.

Answer:

[tex]radius = \sqrt{13}[/tex] or [tex]radius = 3.61[/tex]

Step-by-step explanation:

Given

Points:

A(-3,2) and B(-2,3)

Required

Determine the radius of the circle

First, we have to determine the center of the circle;

Since the circle has its center on the x axis; the coordinates of the center is;

[tex]Center = (x,0)[/tex]

Next is to determine the value of x through the formula of radius;

[tex]radius = \sqrt{(x_1 - x)^2 + (y_1 - y)^2} = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex]

Considering the given points

[tex]A(x_1,y_1) = A(-3,2)[/tex]

[tex]B(x_2,y_2) = B(-2,3)[/tex]

[tex]Center(x,y) =Center (x,0)[/tex]

Substitute values for [tex]x,y,x_1,y_1,x_2,y_2[/tex] in the above formula

We have:

[tex]\sqrt{(-3 - x)^2 + (2 - 0)^2} = \sqrt{(-2 - x)^2 + (3 - 0)^2}[/tex]

Evaluate the brackets

[tex]\sqrt{(-(3 + x))^2 + 2^2} = \sqrt{(-(2 + x))^2 + 3 ^2}[/tex]

[tex]\sqrt{(-(3 + x))^2 + 4} = \sqrt{(-(2 + x))^2 + 9}[/tex]

Eva;uate all squares

[tex]\sqrt{(-(3 + x))(-(3 + x)) + 4} = \sqrt{(-(2 + x))(-(2 + x)) + 9}[/tex]

[tex]\sqrt{(3 + x)(3 + x) + 4} = \sqrt{(2 + x)(2 + x) + 9}[/tex]

Take square of both sides

[tex](3 + x)(3 + x) + 4 = (2 + x)(2 + x) + 9[/tex]

Evaluate the brackets

[tex]3(3 + x) +x(3 + x) + 4 = 2(2 + x) +x(2 + x) + 9[/tex]

[tex]9 + 3x +3x + x^2 + 4 = 4 + 2x +2x + x^2 + 9[/tex]

[tex]9 + 6x + x^2 + 4 = 4 + 4x + x^2 + 9[/tex]

Collect Like Terms

[tex]6x -4x + x^2 -x^2 = 4 -4 + 9 - 9[/tex]

[tex]2x = 0[/tex]

Divide both sides by 2

[tex]x = 0[/tex]

This implies the the center of the circle is

[tex]Center = (x,0)[/tex]

Substitute 0 for x

[tex]Center = (0,0)[/tex]

Substitute 0 for x and y in any of the radius formula

[tex]radius = \sqrt{(x_1 - 0)^2 + (y_1 - 0)^2}[/tex]

[tex]radius = \sqrt{(x_1)^2 + (y_1)^2}[/tex]

Considering that we used x1 and y1;

In this case we have that; [tex]A(x_1,y_1) = A(-3,2)[/tex]

Substitute -3 for x1 and 2 for y1

[tex]radius = \sqrt{(-3)^2 + (2)^2}[/tex]

[tex]radius = \sqrt{13}[/tex]

[tex]radius = 3.61[/tex] ---Approximated

Answer:

250 dollars per month.

Step-by-step explanation:

We first need to subtract the amount of money her parents are giving her.

12000-3000=9000.

Since she is saving money every month for 3 years we have to multiply 3×12=36 months.

We than need to divide how much money she needs by the amount of months she has to get it.

9000÷36=250

Answer:

11 adults and 16 children

Step-by-step explanation:

a + c = 27 and 4a + c = 60

3a = 60 - 27 = 33

a= 11  

so c = 16

Answer:

  4/5

Step-by-step explanation:

Answer:

10 incorrect answers

Step-by-step explanation:

From the information given, you can say that 5 marks for the number of correct answers minus two marks for the number of incorrect answers is equal to 30 that is the score that Radhika got:

(5*10)-2x= 30, where x is the number of incorrect answers.

Now, you can solve for x:

50-2x=30

50-30=2x

20=2x

x=20/2

x=10

According to this, the answer is that they attempted 10 incorrect answers.

Answer:

30.9 cm²

Step-by-step explanation:

To find the surface area of this figure, we find the area of the base and the 3 identical sides.

The base is split into two identical right triangles. Let's find the area of one and multiply by two.

Half of 3: 1.5

[tex]1.5\cdot2.6=3.9\\3.9\div2=1.95[/tex]

There are two right triangles:

[tex]1.95\cdot2=3.9[/tex]

The area of one of the sides will be the same thing, except the height is 6.

[tex]1.5\cdot6=9\\9\div2=4.5\\4.5\cdot2=9[/tex]

There are 3 sides identical to this one:

[tex]9\cdot3=27[/tex].

Add 27 and 3.9:

[tex]27+3.9=30.9[/tex]

Hope this helped!

Answer:

30.9 square centimeters

Step-by-step explanation:

3 * 1/2(3)(6) + 1/2(3)(2.6) = 30.9

Answer:

r = 1

Step-by-step explanation:

6r - 1 + 6r = 11

Adding 6r and 6r (because they're like terms) gives us:

12r - 1 = 11

Adding 1 to both sides of the equation gives us:

12r - 1 + 1 = 11 + 1

12r = 12

Dividing both sides of the equation by 12 gives us:

12r/12 = 12/12

r = 1

Answer:

Deal B

Step-by-step explanation:

Deal A : $ 30 *10%=3 dollars

the price for 50 cupcake is 27 dollars (54 cent for one cupcake)

Deal B: 50*50%= 25 more cupcake

75 cupcake for 30 dollars ( 40 cents per cupcake)

Deal B is better than Deal A

Answer:

AO and OC

x+8 and 16-x

x+8 = 16-x

x+x= 16-8

2x= 8

x= 8/2

x=4

DO and OB

2y+13 and 5y+4

2y+13 = 5y+4

2y-5y= 4-13

-3y = -9

y= 9/3

y= 3

Step-by-step explanation:

i hope this helps

if this helps let me know

Answer:

Step-by-step explanation:

2y + 13 = 5y + 4 { diagonals of a rhombus bisect each other }

by transposing,

2y - 5y = 4 - 13

-3y = -9

both the minus signs get cancelled,

3y = 9

y = 9/3

y = 3

x + 8 = 16 - x  { diagonals of a rhombus bisect each other }

again by substituting,

x + x = 16 - 8

2x = 8

x = 8/2

x = 4

∴ x = 4 and y = 3

hope this helps

plz mark s brainliest!!!!!!!

Answer:

24 kilometers per hour

Step-by-step explanation:

15 kph x 8 h = 120 kilometers

120km/5 hours = 24 kph

Step-by-step explanation:

Hi, there!!!

According to the question,

1st case

At the speed of 15 km/ hr, it takes time 8 hrs to reach a point.

Then, we must find the distance first to calculate your speed in 2nd case,

So, let's find the distance first,

now,

distance (d) = s×t

or, d= 15km/ hr × 8hrs

Therefore, the distance is 120 km.

now,

In 2nd case,

As the question has asked to find speed on same point, it will have same distance covered.

time( t) = 5hrs.

distance (d)= 120km

now,

speed = distance/time taken

or, s= 120 km/5 hrs

or, s = 24km/ hr.

Therefore, your speed in 2nd case will be 24km/hr.

Hope it helps...

Answer:

[tex] \boxed{\sf {18}^{2} + {24}^{2} = {x}^{2}} [/tex]

To Find:

Length of hypotenuse of the right triangle i.e. x

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.

[tex] \therefore [/tex]

[tex] \sf \implies {18}^{2} + {24}^{2} = {x}^{2} [/tex]

Answer:

18²+24²=x²

Step-by-step explanation:

to answer this question you must know Pythagorean theorem

a^ 2+b^2 =c^2

a and b stands for the sides with length 24 and 18 and c stands for the HYPOTENUSE . so the correct answer for the above question is 18²+24²=x²

Answer:

[tex]\huge \boxed{729}[/tex]

Step-by-step explanation:

9 raised to 3 is the base 9 with an exponent of 3.

[tex]9^3[/tex]

9 is being multiplied by itself 3 times.

[tex]9^3 =9 \times 9 \times 9 = 729[/tex]

Answer:

-i

Step-by-step explanation:

(-i)^0 = 1

(-i)^1 = -i

(-i)^2 = -1

(-i)^3 = -i

(-i)^4 = 1

(-i)^5 = -i

etc.

From this pattern, you see that when the exponent is a multiple of 4, you get 1. When the exponent is a multiple of 4 plus 1, you get -i, etc.

213 = 4 * 53 + 1

213 is 1 more than a multiple of 4.

(-i)^213 = (-i)^1 = -i

Answer:

(x - 1)² + (y + 4)² = 81

Step-by-step explanation:

Circle Formula: (x - h)² + (y - k)² = r²

(h, k) is the center

2r = d

Step 1: Find r

18 = 2r

r = 9

Step 2: Plug known variables into formula

(x - 1)² + (y + 4)² = 9²

Step 3: Evaluate

(x - 1)² + (y + 4)² = 81

Answer:

(x-1)^2 + (y+4)^2 = 81

Step-by-step explanation:

The equation of a circle can be written as

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

The center is ( 1,-4)

and the radius is d/2 = 18/2 = 9

(x-1)^2 + (y- -4)^2 = 9^2

(x-1)^2 + (y+4)^2 = 81

Answer:

y = x + 2

Step-by-step explanation:

Step 1: Find the slope

[tex]m=\frac{y2-y1}{x2-x1} = \frac{6-1}{4-(-1)}=\frac{6}{6} =1[/tex]

Step 2: Substitute the slope and a point in to find y intercept

(6)=(1)(4)+b

6 = 4 + b

b = 2

Step 3: Substitute all the information in

y = x + 2

Therefore the equation for a line that passes through (4,6) and (-1,1) is y = x + 2

Answer:

The correct options are;

Absolute value

Difference

Step-by-step explanation:

The distance between two points on a number line can be found by taking the absolute value of the difference  of the coordinates such that the result will always have a positive value

The distance between two, points a and b on the number line is defined as [tex]\left | a - b \right |[/tex] that is the distance is found by taking finding the absolute value of the difference of the two numbers.

Answer:

y = -x -2

Step-by-step explanation:

The graph has a slope of -1 and a y-intercept of -2.

The equation is therefore

y = -x -2

Answer:

The correct option is (B).

Step-by-step explanation:

In this case, we need to test whether the claim made by the new brand of gym shoe is correct or not.

Claim: A new brand of gym shoe claims to add up to 2 inches to an athlete’s vertical leaps.

So, we need to test whether the average vertical leap of all the athletes increased by 2 inches or not after using the new brand of gym shoe.

The sample procedure would be to compute the average vertical leap of a group of athletes in their regular shoes (or a different pair) and the average vertical leap of a group of athletes in their new shoes.

Compare the two averages to see whether the difference is 2 inches or not.

The experimental group would be the one with the new shoes and the control group would be the one with the different pair of shoes.

Thus, the correct option is (B).

Answer:

B) Find the average vertical leap of all the athletes in their regular shoes. Give the experimental group the new shoes and the control group a different pair of shoes. Find the average vertical leap of the athletes in both groups. Compare the increases in vertical leap for each group.

Step-by-step explanation:

Answer:

6 pepper fruits

Step-by-step explanation:

Given the following :

Fraction of pepper in terms of tomato = 2/3

Number of fruits on pepper plant = 9

Therefore number of pepper fruits on pepper plant:

2/3 * number of tomato fruits

2/3 * 9

(2 * 3) = 6

6 pepper fruits.

Answer:

288.4m

Step-by-step explanation:

This track is split into a rectangle and two semi-circles.

We can find the length of the semi-circles by finding its circumference with the formula [tex]2\pi r[/tex].

[tex]2\cdot3.14\cdot30\\188.4[/tex]

However this is half a circle, so:

[tex]188.4\div2=94.2[/tex].

There are two semi-circles.

[tex]94.2\cdot2=188.4[/tex]

Since there are two legs of 50m each, we add 100 to 188.4

[tex]188.4+100=288.4[/tex]m

Hope this helped!

Answer:

Step-by-step explanation:

To solve for the perimeter, we first look at the rectangle in the middle. the length is 50m, and there are two sides to it, so: 50 * 2 = 100m for the top and bottom of the track.

For the circle, we can see the diameter is 30m. To solve for the circumference, we need to use the formula 2πr.

15 * 2π ≈ 94.2477796077

We add that to 100m and get:

194.2477796077

Answer:

[tex]\boxed{2\pm \frac{\sqrt{2}}{2}}[/tex]

Step-by-step explanation:

[tex]2x^2-8x=-7[/tex]

[tex]\sf Add \ 7 \ on \ both \ sides}.[/tex]

[tex]2x^2-8x+7=-7+7[/tex]

[tex]2x^2-8x+7=0[/tex]

[tex]ax^2 +bx+c=0[/tex]

[tex]\sf Apply \ quadratic \ formula.[/tex]

[tex]a=2 \ \ \ b=-8 \ \ \ c = 7[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-(-8)\pm\sqrt{(-8)^2-4(2)(7)}}{2(2)}[/tex]

[tex]x=\frac{8\pm\sqrt{64-56}}{4}[/tex]

[tex]x=\frac{8\pm\sqrt{8}}{4}[/tex]

[tex]x=\frac{8\pm2\sqrt{2}}{4}[/tex]

[tex]x=2\pm \frac{\sqrt{2}}{2}[/tex]

Answer:

Step-by-step explanation:

39/5 as a mixed number;

39/5 as a mixed number;39 ÷ 5 = 6 remaining 9

Therefore:

6 9/5