M is the midpoint of HA. The coordinate of His
(3x + 5,3y) and the coordinate of A is (x-1, -y). What is
the coordinate of M?

Step-by-step explanation:

Right Triangles and the Pythagorean Theorem. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.

Answer:

The red arrow shows the resultant vector. We have a Side Angle Side triangle ABC so can use The Cosine Rule:

a2=b2+c2−2bccosA

This becomes:

R2=7002+402−(2×700×40×cos45)

R2=491,600−39,597.9

R=672.3xkm/hr

This is the groundspeed of the aircraft.

To find θ we can use The Sine Rule:

sinCc=sinAa

This becomes:

sinθ40=sin45672.3

sinθ=0.04207

θ=2.41∘

This is known as the drift angle and is the correction the pilot should apply to remain on course.

The heading is the direction the aircraft's nose is pointing which is 000∘.

The track is the actual direction over the ground which is 357.6∘

An alternative method to this would be to separate each vector into vertical and horizontal components and add.

The resultant can be found using Pythagoras.

Answer:

Step-by-step explanation:

if it's only true or false there are 2¹⁷=131072 outcomes

if it's true, false, or blank there are 3¹⁷=129140163 outcomes

Answer:

Square, Kite, Rhombus, Parallelogram, Trapezoid, Rectangle, Quadrilateral, Isosceles Trapezoid.

Step-by-step explanation:

Quadrilaterals are simply figures with exactly four sides. As you can see, the shapes listed all have four sides. Even an isosceles trapezoid (not to be confused with an isosceles triangle as the term is less commonly used then "isosceles triangle") as it is only a type of trapezoid.

Answer:

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

Answer:

296                                                    

We start by multiplying 6 times 46, since the first 4 terms are already listed. We then add the product, 276, to the last listed term, 20. This gives us our answer of 296.

Answer:

h(x)=1/4x

Step-by-step explanation:

function×inverse=-1

4x=-1

Answer:

h(x) = 1/4x

Step-by-step explanation:

y = 4x

x = 4y

1/4 x = y

Answer:

5.625 litres

Step-by-step explanation:

1. We have to find how many litres of of lemon juice does a 1 litre jug of lemonade contains :

6 litres ÷ 1.6 litres = 3.75 litres

2. How many litres of lemon juice does a 1.5 litre bottle of lemonade contain?

= 3.75 litres × 1.5 litres

= 5.625 litres #

Answer:

A 1.5 litre bottle of lemonade contains 0.4 litre of lemon juice

Step-by-step explanation

let x be the litre of lemon juice in 1.5 litre of lemonade

litre of lemon juice in 6 litre of lemonade = 1.6

so , [tex]\frac{6}{1.6} = \frac{1.5}{x}[/tex]

    x = [tex]\frac{1.5 * 1.6}{6}[/tex]

    x=[tex]\frac{2.4}{6}[/tex]

    x = 0.4 litre

Answer:

Step-by-step explanation:

This is not possible over the real numbers system. You cannot take the square root of a negative number without ending up with imaginary solutions.

[tex]x^2=-25[/tex] and

[tex]x=\sqrt{-25}[/tex] In the world of imaginary numbers, the 2 solutions would be

x = 5i and x = -5i

Answer:

It should be x=5i-5i

Step-by-step explanation:

The unit rate will be "23.5 miles/gallon". In the below segment, a further solution to the given question is provided.

Given values in the question are:

Total distance,

= 188 miles

Total gas used,

= 8

Now,

⇒ The rate of gas consumption will be:

= [tex]\frac{Total \ distance}{Total \ gas \ used}[/tex]

By putting the given values in the above formula, we get

= [tex]\frac{188}{8}[/tex]

= [tex]23.5 \ miles/gallon[/tex]

Thus the above is the appropriate solution.

Learn more about gas consumption here:

https://brainly.com/question/17321062

There is no any image of rectangle

Answer:

Step-by-step explanation:

rectangular prism=lwh

cylinder=πr²h

cone=1/3 πr²h

sphere=4/3 πr³

Answer:

-[tex]x^{2} + 3x -8 = 0[/tex]

Step-by-step explanation:

Answer:770

Step-by-step explanation:

There are a total of 6 faces, so we shall calculate the area of each face then add them

=(11×12) +(11×12) +(11×11)+(11×11)+(11×12)+(11+12)

=770cm^2

The total surface area of the given box will be 770 cm² hence correct option will be option (B).

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

In another meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.

Given that the box has 6 faces with sides

2 face has dimension = 11cm and 12 cm

2 face has dimension = 11cm and 11cm

2 face has dimension = 11cm and 12 cm

Total surface area = 2(11 × 12) + 2(11 × 11) + 2(11 × 12) = 770 cm²

Hence, the total surface area will be 770 cm².

To learn more about surface area,

https://brainly.com/question/2835293

#SPJ2

Subtracting 10 from the original equation will shift the graph down 10 units

The answer is D.

The required function of h i.e f(h) is expressed as

[tex]f(h) = \dfrac{1}{h^2-3}[/tex]

Substitution of a function means replacing a variable with another variable without changing the structure of such function. According to the function given, we can see that we are simply meant to replace x with h as shown below:

Given the expression

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

To get f(h), we will substitute f in place of x that is x -> h as shown

[tex]f(h) = \frac{1}{h^2-3}[/tex]

Hence the required function of h i.e f(h) is expressed as

[tex]f(h) = \dfrac{1}{h^2-3}[/tex]

Learn more: https://brainly.com/question/4357143

Part (a)

Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.

Since f(-1) = 4, this means we can then say

g( f(-1) ) = g( 4 ) = 4

To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.

==========================================================

Part (b)

We use the same idea as part (a)

f(-2) = 5

g( f(-2) ) = g(5) = 6

==========================================================

Part (c)

Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.

g(1) = -2

f( g(1) ) = f(-2) = 5

==========================================================

Part (d)

Same idea as part (c)

g(2) = 0

f( g(2) ) = f( 0 ) = 3

9514 1404 393

Answer:

  C)  462

Step-by-step explanation:

The presenters can be chosen 11C6 = 462 different ways.

__

If the teacher were concerned about the order of the presentations, the number of possibilities goes up to 11P6 = 332,640 different ways.

hi

it's equal to as X = 1X  

so 1X-0.3X = 0.7X

Answer:

yes

Step-by-step explanation:

as

x - 0.3x = 1×x - 0.3x = (1-0.3)x = 0.7x

Answer:

B

kepping a constant and decreasing

ok us8wgwvehie9wywgwhwiw8wu

Answer:

(3, 1)

Step-by-step explanation:

A circle with radius √10 and centre at (0, 0) will have a point (3, 1) on its circumference.

Answer:

kkkkkkkllllll

Step-by-step explanation:

llllllllllllllllllllllllll

Answer:

Fraction form: 7/-13

Decimal form:-0.53846153846154

Answer:

distance between home and office = 3 km

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (- 1, - 17 ) → A' (- 1, 17 )

B (0, - 12 ) → B' (0, 12 )

C (- 5, - 11 ) → C' (- 5, 11 )

D (- 6, - 16 ) → D' (- 6, 16 )

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The coordinate of point p on the given number line is 2.375. The correct option is C.

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

Given that there are 8 divisions between two whole numbers, now since the point P is on the third division. Therefore, the coordinate of point p will be,

Coordinate of point P = 2 + 3/8

                                     =2 + 0.375

                                     = 2.375

Hence,  the coordinate of point p on the given number line is 2.375.

Learn more about the Number line here:

https://brainly.com/question/557284

#SPJ2

Answer:

below

Step-by-step explanation:

that is the solution above