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Answer:

120 / 561

Step-by-step explanation:

An automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans. Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles.What is the probability that two motorcycles will be selected

16/34 X 15 X 33

Answer:

5x - 26

Step-by-step explanation:

9 - 5(-11x + 7)

= 9 - (-55x + 35)

= 9+ 5x - 35

= (9 - 35) + 5x

= -26 + 5x

= 5x - 26

Answer: pi/6

explanation: took test

The value of θ on a unit circle where the terminal point of θ is (1/2,square root 3/2), is 60°.

The measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane is known as terminal point

Thus the value of θ at terminal point on a unit circle (1/2,square root 3/2) is 60 degrees.

Learn more about Terminal Point here:

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Answer:

(0,-9)

Step-by-step explanation:

To find the y-intercept, substitute x=0

y=(0)^2+4(0)-9

=-9

Here's a tip to help you find the y-intercept faster, it is usually the constant of the graph equation

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

The equation of the axis of symmetry which is also the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 4x - 9 ← is in standard form

with a = 1, b = 4 , then

x = - [tex]\frac{4}{2}[/tex] = - 2

x = - 2 is the equation of the axis of symmetry

Substitute x = - 2 into the equation for corresponding y- coordinate of vertex

y = (- 2)² + 4(- 2) - 9 = 4 - 8 - 9 = - 13

vertex = (- 2, - 13 )

To find the y- intercept let x = 0 and solve for y

y = 0² + 4(0) - 9 = 0 + 0 - 9 = - 9

y- intercept = (0, - 9)

From the standard form of the parabola

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Here a = 1 , that is > 0

vertex (- 2, - 13 ) is a minimum

Answer:

X1 = 2 Y1 = -5

Step-by-step explanation:

math simple slope

Answer:

3.16, 3.16, 3.16

3.16, 3.16, 3.16

1.41, 1.41, 1.41

3.16, 3.16, 3.16

Step-by-step explanation:

Answer:

Length Length  Length

3.16         3.16   3.16

3.16 3.16   3.16

1.41   1.41   1.41

3.16  3.16  3.16

Step-by-step explanation:

The given transformations are rigid transformations, such that

the image and the preimage have the same dimensions.

Correct responses:

Given;

The images of triangle 1 are; Triangle 2, and triangle 3

Taking the image of line m as line m, we have;

Required:

The degree of the intersection of lines m and n

Solution:

Triangle 2 is the reflection of triangle 1 across line m, and

triangle 3 is the reflection of triangle 2 across line n

The distance of triangles 1 and 2 from line m are equal

The distance of triangle 2 and 3 from line n are equal.

Whereby the degree of rotation of triangle 1 to triangle 2, θ₁ is

equal to the degree of rotation of triangle 2 to triangle 3, θ₂,

we have;

θ₁ = θ₂

100° = θ₁ + θ₂ = 2·θ₁

θ₁ = θ₂ = 100° ÷ 2 = 50°

The angle of rotation of line m to line n = Rotation of triangle 1 to triangle 2 = θ₁ = 50°

The transformation to give triangle 2 from triangle 1 is a reflection about line m.

Similarly, the transformation that gives triangle 3 from triangle 2 is a reflection about line n.

Therefore;

Learn more about rigid transformations here:

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Answer:

The answer is C!

Step-by-step explanation:

Answer:

D

NOTE: the answer "C" is NOT correct... see the image the green is "C" the purple is "D"

Step-by-step explanation:

9514 1404 393

Answer:

  -8x +12

Step-by-step explanation:

The distributive property can help you simplify the product.

  (4)(-2x +3) = (4)(-2x) +(4)(3) = -8x +12

Answer:

The y intercept is (0,-1)

Step-by-step explanation:

To find the y intercept, let x = 0

y = -x^2 -6x-1

y = -0^2-6(0) -1

y = -1

The y intercept is (0,-1)

Answer: No

Step-by-step explanation:

Add 2 sides together. If the sum of greater than the length of the 3rd side for all 3 options it can form a right triangle if it doesn’t than it can’t:

9 + 12 = 21 which is not greater than the 3rd side length of 21 so this cannot form a right triangle.

Answer:

m∠CDA=65°

Step-by-step explanation:

This is because an isosceles trapezoid has both pairs of base angles that are equivalent to one another.

Answer:

A: n/100 = 15/30 is the correct option

Answer:

2(x + 4) / 6(x² - 3x - 28)

Step-by-step explanation:

Area of a rectangle = length × width

Length = 2/(x² - 3x - 28)

Width = x² - 16/6x - 24

= (x + 4)(x - 4) / 6(x - 4)

= (x + 4) / 6

Area of a rectangle = length × width

= 2/(x² - 3x - 28) × (x + 4) / 6

= 2(x + 4) / (x² - 3x - 28)6

= 2(x + 4) / 6x² - 18x - 168

= 2(x + 4) / 6(x² - 3x - 28)

Area of a rectangle =

2(x + 4) / 6(x² - 3x - 28)

Answer:

a -2b

Step-by-step explanation:

2(a+2b)-a-2b

Distribute

2a+4b -a-2b

Combine like terms

a -2b

Answer:

D

Step-by-step explanation:

Pythagorean

[tex]x^{2} + 9^{2} = 15^{2}[/tex] (x>0)

=> [tex]x=\sqrt{15^{2}-9^{2} }[/tex] [tex]=12[/tex]

Answer:

A is ur answer

Step-by-step explanation:

Answer:

f(x) = x⁴ + 2x³ - 3x² - 4x + 4

Step-by-step explanation:

we have 3 turnarounds and no negative y values (so, it should be a function based on x⁴), 2 of these turnarounds are also directly on the x-axis (y=0).

f(0) = 4

f(1) = 0

f(-2) = 0

an equation based on x⁴ would have 4 interceptions with the x-axis. since we have only 2 here, then there must be 2 pairs of equal interceptions.

based on the known x-interceptions (x=1, x=-2) we can start with the approach

(x-1)(x+2)

this world give us a quadratic equation (based on x²).

the trick is now to get this to x⁴ without adding additional x-interceptions. that is done by simply "reusing" the ones we already used.

(x-1)(x+2)(x-1)(x+2) = (x-1)²(x+2)²

(x-1)²(x+2)² = (x² - 2x + 1)(x² + 4x + 4) =

x⁴ - 2x³ + x² + 4x³ - 8x² + 4x + 4x² - 8x + 4 =

x⁴ + 2x³ - 3x² - 4x + 4

Answer:

I think 5x is the answer

stay safe

Distance = time/ speed

Distance = 200 seconds / 20 m/s

Distance = 10 meters

Answer:

Distance:

[tex]{ \tt{distance = speed \times time}} \\ { \tt{ = 20 \times 200}} \\ { \tt{ = 4000 \: metres}}[/tex]

Answer:

I think the sum of the measures of the interior angles of an octagon =(8−2)180° . The sum of the measures of the interior angles of an octagon is 1080° .

I hope this help!:)

Answer:

[tex]135^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles of a polygon with [tex]n[/tex] sides is equal to [tex](n-2)180[/tex]. Since an octagon has 8 sides, the sum of its interior angles is equal to:

[tex](8-2)180=6\cdot 180=1,080^{\circ}[/tex]

By definition, a regular polygon is a polygon with equal sides and angles. An octagon has 8 sides and 8 angles. Therefore, a each interior angle of a regular octagon must be equal to:

[tex]\frac{1,080}{8}=\boxed{135^{\circ}}[/tex]

Answer:

A scatter plot can show a positive relationship, a negative relationship, or no relationship. If the points on the scatter plot seem to form a line that slants up from left to right, there is a positive relationship or positive correlation between the variables.

Answer:

x > 20

Step-by-step explanation:

5x + 20 > 120

Divide 5 on both sides,

x + 4 > 24

x + 4 - 4 > 24 - 4

x > 20

Answer:

83 spins

Step-by-step explanation:

Number of red spins = n

Number of orange spins = 8n

Number of yellow spins = 3n

Total number of trials = 240

Total number of spins :

(n + 8n + 3n) = 240

12n = 240

n = 240 / 12

n = 20

Number of red spins = 20

(1000/240) * n

4.1666666 * 20

= 83.333

= 83 spins

Answer:

125 % increase

Step-by-step explanation:

assume a cube of side 10

then each side surface area = 100 * 6 = 600 units

now consider sides 15 (+50%)

each side = 225   ....  225 * 6 = 1350

(1350 - 600)/600  = 1.25 =  125 % increase

Answer:

[tex]\sqrt{40\\}[/tex], [tex]2\sqrt{10}[/tex], or 6.3 (rounded).

Step-by-step explanation:

Use the distance formula, [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\x_1 is -8, y_1 is 6, x_2 is -6, y_2 is 0.[/tex]

Answer:

4/8 or 1/2

Step-by-step explanation:

Answer:

y = (-7/3)x - 26/3

Step-by-step explanation:

To find the equation of a line given two points, we can first define an equation of a line to be y= mx +b, with m being the slope and b being the y intercept.

To calculate the slope, we can use the formula (change in y)/(change in x), or

(y₂-y₁)/(x₂-x₁). If we define (-2, -4) as point 1 (meaning -2 is x₁ and -4 is y₁) and (-8, 10) as point 2 (it doesn't matter which point is point 1/2), we can say that the slope is equal to

(10-(-4)) / (-8-(-2)

= 14/(-6)

= -7/3

Therefore, our formula so far is

y = (-7/3)x + b

To figure out b, we can plug in a point, e.g. (-8, 10) and solve for b. Plugging this in, we get

10 = (-7/3)(-8) + b

10 = 56/3 + b

subtract 56/3 from both sides

10 - 56/3 = b

= 30/3 - 56/3

= -26/3

Therefore, our equation is

y = (-7/3)x - 26/3

Answer:

2 miles

Step-by-step explanation:

Given that :

Total distance = 10 miles

Distance = speed * time

Let distance from TBLS to flat Tyre spot = d

Time = distance / speed

Since the distance to and distance fro took a total of 48 minutes;

Hence ;

d/15 + d/3 = 48 minutes

48 minutes = 48/60 = 0.8 hours

d/15 + d/3 = 0.8

(d + 5d) / 15 = 0.8

d + 5d = 15 * 0.8

6d = 12

d = 12 / 6

d = 2 miles

Distance from TBLS to point bicycle had flat tyre is 2 miles