Point M divides line segment AB, in the direction from A to B, in a ratio of 5 to 3. What value on the number line would indicate the location of point M? A = --6, B = 3

Hey there! :)

Answer:

arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)

Step-by-step explanation:

Begin by finding the circumference of the circle. Use the formula:

C = 2rπ

C = 2(9)π

C = 18π.

Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:

[tex]\frac{50}{360} = \frac{x}{18\pi }[/tex]

Cross multiply:

50 · 18π = 360x

900π = 360x

Divide both sides by 360:

x = 2.5π in, or ≈7.85 in.

Answer:

a

Step-by-step explanation:

Answer:

6.1 square units

Step-by-step explanation:

Since the triangle was translated from one position to another position, the dimensions of the triangle have not changed. The pre-image and image are congruent.

area = base * height/2

The two sides forming a right angle can be used as the base and the height in the area formula.

BC = base = 2

AB = A'B' = height = 6.1

area = 2 * 6.1/2

area = 6.1 square units

━━━━━━━☆☆━━━━━━━

▹ Answer

35x + 72y

▹ Step-by-Step Explanation

(38x + 61y) - (3x - 11y)

38x + 61y - (3x - 11y)

38x + 61 y - 3x + 11y

35x + 61y + 11y

35x + 72y

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

The factored form of the trinomial = (x+2) (x+8)

Step-by-step explanation:

ax² + bx + c = 0

This is in the form of a trinomial algebraic expression

Given trinomial: = ax² + 10x + 16

Where a = 1, b= 10, c= 16

To find the pair of numbers that has a product of ac and a sum of b, we would solve the equation.

Using factorisation method:

ac = a×c = 1×16 = 16

Let's find the factors of 16 whose sum gives +10 and product gives +16

Factors of 16 = 1, 2, 8, 16

+2 + +8 = +10

+2 × +8 = +16

The factors are +2 and +8

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

x² + 10x + 16 = x + 2x + 8x + 16

x² + 10x + 16 = x(x+2) + 8(x+2)

= (x+2) (x+8)

The factored form of the trinomial = (x+2) (x+8)

Answer:

(x+2) (x+8)

Step-by-step explanation:

Answer:

y = 3/2x + 3.

Step-by-step explanation:

With these two points, we can find the equation of line L.

y = mx + b

Slope: (5 --1) / (4 - 0) = 5 + 1 / 4 = 6 // 4 = 3/2

Intercept: [stated by the first pair of coordinates] (0, -1)

y = 3/2x - 1

Since the line is parallel to L, the slope is the same as line L.

y = 3/2x + b

The line passes through (-2, 0), so we can substitute the points into the equation and solve for b.

0 = 3/2 * -2 + b

b - 3 = 0

b = 3

So, the equation of the line which is parallel to L and passes through the point (-2, 0), is y = 3/2x + 3.

Hope this helps!

Answer:

3x= 2x+18

3x-2×=2×-2×+18

×=18

Answer:

18

Step-by-step explanation:

3x = 2x + 18

3x - 2x = 18

x = 18

Answer: Find a common denominator on the right side of the equation

Step-by-step explanation:

You can see that they found the common denominator of 4 therefore that is the correct answer

Answer:

0.08

Step-by-step explanation:

The probability that the bus is late on any day is 0.2

The probability that it rains tomorrow is 0.4

The probability that it will rain tomorrow and the bus is late is the product of both individuals probabilities.

Therefore:

P(late & rains) = 0.2 * 0.4 = 0.08

Answer:

The probability that it rains and the bus is late is 1/7

Step-by-step explanation:

Practically, we can apply the Bayes’ theorem to solve this.

Mathematically, we use the Bayes’ problem as follows;

P( rain| late) = P(rain ^ late)/P(late) = P( late|rain) • P(rain)/[P(late|rain)P(rain) + P(not late|no rain)P(no rain)]

Where P(no rain) = 1-P(rain) = 1-0.4 = 0.6

P(on time) = 1-P(late) = 1-0.2 = 0.8

Kindly recall that P of raining = 0.4 and the probability that the bus is late is 0.2

Substituting these values into the Bayes’ equation above, we have;

P( rain| late) = (0.2)(0.4)/(0.2)(0.4) + (0.8)(0.6)

= 0.08/(0.08 + 0.48) = 0.08/0.56 = 1/7

Answer:

picture is attached

Step-by-step explanation:

there are many options but this is one

Answer:

C

Step-by-step explanation:

A = [tex]\pi[/tex]r^2 h/3

A= 235.62

B = [tex]\pi[/tex]r^2 h

B = 235.62

They are equal

Answer:

5/8

Step-by-step explanation:

apple trees to pear trees=5/2 to peach trees=(5/2)/4=5/8

Answer:

  2x^2 -x +1 = 0

Step-by-step explanation:

For roots α and β, the original equation can be factored as ...

  f(x) = 2(x -α)(x -β)

If we add 1 to each of those roots, the factors become ...

  g(x) = 2(x -(α+1))(x -(β+1))

This can be rearranged to be ...

  g(x) = 2((x -1) -α)((x -1) -β)

That is, we can get the desired equation by replacing x with x-1, effectively shifting the function right one unit.

  2(x -1)² +3(x -1) +2 = 0

  2x^2 -x +1 = 0

I think the answer is D.

We cannot simplify this further because 3 and 5 have no factors in common, other than 1. So we just leave it as is.

Answer:

yes, if AB ≅ DE

Step-by-step explanation:

Triangles are said to be congruent if they have the same sides and the same angles.

The following measures are used to determine if triangles are congruent:

1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.

2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.

3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.

4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.

From the triangles  DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.

To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent

Answer:

D). no, because the hypotenuses must have different lengths

Step-by-step explanation:

I just did the assignment on Edge and it's 100% correct.

Hope this helps!! Also heart and rate if you found this answer helpful!!  :)

Answer: distributive property

Step-by-step explanation:

[tex]5(18)=2(18)+3(18)[/tex]

[tex]18(2+3) = 2* 18+ 3*18[/tex]

[tex]18*5 = 2* 18+ 3*18[/tex]

Answer: Distributive Property

Step-by-step explanation:

Answer:

(3x4 - 5x2 - 4)-( 2x3 x2 + 1) is equals to -15

3x4 - 2x3 - 4x2-5 is equals to -7

Step-by-step explanation:

1.) (3x4 - 5x2 - 4)-( 2x3 x2 + 1)

3 x 4 = 12     5 x 2 = 10     12 - 10 = 2     2 - 4 = -2

2 x 3 = 6     6 x 2 = 12     12 + 1 =  13

-2 - 13 = -15

2.)3x4 - 2x3 - 4x2-5 is eaquals to -7

3 x 4 = 12     2 x 3 = 6     12 - 6 = 6     4 x 2 = 8

6 - 8 = -2     -2 - -5 = -7

Those were my answers

Answer:

-5 - 2

Step-by-step explanation:

Solve each of the following

A is -6 + 9 which equals 3

B is 1 - (-2) which simplifies into 1 + 2 which equals 3

C is -9 / -3. the negatives cancel leaving 9/3 which is 3

D is -5 - 2 which simplifies into -5 + -2 which equals -7

Answer:

5 and 29

Step-by-step explanation:

If k= -2, l = 3, m = 4.

Then to solve

k + l + m and K^2 + l^2 + m^2 , we have to substitute the value of k, l and m with the respective values.

So for k + l + m :

k + l + m = -2 + 3 + 4 = -2 + 7 = 5

And for K^2 + l^2 + m^2:

K^2 + l^2 + m^2 = -2^2 + 3^2 + 4^2 = 4 + 9 + 16 = 29

Hope this helps

Answer:

11 1/2

Step-by-step explanation:

Convert improper fraction to mixed number

23 over 2

= 11 and 1/2

23 ÷ 2 = 11 remainder 1

Answer:

11whole,1 and a half

Step-by-step explanation:

divide 23 by 2

Answer:

The correct answer is A. [tex](-11, -9)[/tex].

Step-by-step explanation:

Given that the point is (8,6)

Let this point be A(8,6).

The composition is T3,30 RO,-180º

First translate the point by 3,3.

Let this point becomes A'.

A' is formed by translation of point A by 3,3

i.e.

x coordinate of A' = x coordinate of A + 3 and

y coordinate of A' = y coordinate of A + 3

So, A' (8+3, 6+3)

So, A'(11,9)

Now, a rotation of -180º is applied to point A'.

Let it becomes A''.

By a rotation of -180º,  the coordinate gets changed by 2 quadrants.

A is in 1st quadrant because both x and y coordinates are positive.

A'' will be in 3rd quadrant where both x and y coordinates are negative.

Please refer to the attached image for the graphical representation of A, A' and A''.

So, the answer will be option A. [tex](-11, -9)[/tex].

Answer:

(4x+1)(x²-2)

Step-by-step explanation:

one way to determine the factors of 4x^3 + x^2 - 8x - 2 by grouping:

x²(4x+1)-2(4x+1)

(4x+1)(x²-2)

Answer:

(x^2-2)(4x+1)

Step-by-step explanation:

4x^3 + x^2 - 8x - 2

Group:

(4x^3 + x^2)+( - 8x - 2)

Factor out as much as possible: (The GCF)

x^2(4x+1)-2(4x+1)

Regroup:

(x^2-2)(4x+1)

Answer:

x < 4

Step-by-step explanation:

3x - 3 < 9

3x < 12

x < 4

Answer: x < 4

Step-by-step explanation:

3x < 9 + 3

you’re going to add the two (9+3= 12) numbers.

3x < 12

Then divide both sides of the inequality by 3.

3x < 12 = x < 4.

Answer:

Step-by-step explanation:

At maximum height, the velocity of the flare will be zero.

If the flare height above the ground is modeled by the equation

h = -16t²+64t+4

Velocity = dh/dt = 0

-32t + 64 = 0

-32t = -64

t = -64/-32

t = 2secs

This shows that the flare reaches its maximum height after 2secs.

To get the maximum height of the flare, we will substitute t = 2s into the equation h = -16t²+64t+4

h = -16(2)² + 64(2)+4

h = -64+128+4

h = 64+4

h = 68 feet

The maximum height of the flare is 64 feet.

Answer:

  [tex]S_8=\dfrac{1640}{27}=60\frac{20}{27}[/tex]

Step-by-step explanation:

The formula for the sum of a geometric series with first term a1, common ratio r, and n terms is ...

  [tex]S_n=a_1\dfrac{1-r^n}{1-r}[/tex]

This series has 8 terms, a common ratio of -1/3, and a first term of 81. Its sum is ...

  [tex]S_8=81\dfrac{1-(-\frac{1}{3})^8}{1-(-\frac{1}{3})}=81\dfrac{6560/6561}{4/3}=\dfrac{6560(3^4)(3)}{(4)(3^8)}\\\\\boxed{S_8=\dfrac{1640}{27}=60\frac{20}{27}}[/tex]

Answer:

I believe the answer is C.

Answer:

Hey there!

Your answer would be 1/3 (12) hours.

Since it can fill 1/12 of the tank in 1/3 hour, then in 12 1/3 hr's, the tank would be filled.

Hope this helps :)

Answer:

1/3 * 12

4 hours

Step-by-step explanation:

We can use ratios to solve

1/12 tank          1 tank

---------------- = ----------------

1/3 hour          x hours

Using cross products

1/12 x = 1/3 *1

Multiply each side by 12

12 * 1/12 x = 1/3 * 12

x = 4

4 hours