Let u=-4i-5j and v=3i-6j

Answer:

Step-by-step explanation:

Two lines are perpendicular if the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = 2x + 3   ⇒   m₁=2

2×m₂ = -1        ⇒    m₂ = -¹/₂

The y-intercept is b=-6 so the equation in  slope-intercept form:

                                                y = -¹/₂ x - 6

Answer:

The answer is 32/75

Step-by-step explanation:

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Answer:

Step-by-step explanation:

.

Answer:19/30

Step-by-step explanation:

1. multiply and divide(left to right)-1/6

=-1/6+4/5

2.multiply and divide(left to right)4/5

=-1/6+4/5

3. add and subtract(left to right)-1/6+4/5=19/30

=19/30

Answer:

23

Step-by-step explanation:

19=x-4

x=23

Answer:

x = 3

Step-by-step explanation:

Divide 6 on both sides to get your answer which is 3.

Answer: x=3

Step-by-step explanation:

6x=18

x=18/6

x=3

Check: 6(3) =18

Answer:

2.6 minutes

Step-by-step explanation:

Speed of Bob = 8 km/hr

Speed of Shannon = 10 km/hr

Distance of practice course = 1.7 km

As time = (distance)/(speed), so

Time taken by Bob to cover the distance, t1 = 1.7/8=0.2125 hours

Time taken by Shannon to cover the distance, t2 = 1.7/10= 0.17 hours

As t1 > t2, so, Bob takes more time than Shannon to complete the course.

t1-t2= 0.2125-0.17 = 0.0425 hours = 0.0425 x 60 minutes= 2.55 minutes.

On rounding up to tenth digit, t1-t2 = 2.6 minutes.

Hence, It takes 2.6 minutes more time for Bob to complete one trip around the course than Shannon

Answer:

m=1$

h = 1$

Step-by-step explanation:

i think... seems the only reasonable answer

The cost of one hat is $1 and cost of one mask is $1.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have 10 hats and 20 masks were sold for $30.

and, 8 hats and 10 masks were sold for $18.

let the cost of one hat be H and cost one Mask be M.

So, the system of Equation we get

10H + 20M = 30..........(1)

8H + 10M = 18...........(2)

Solving the above equation we get

10H - 16H = 30 - 36

-6H = -6

H = 1

and, 10 + 20M= 30

20M= 20

M= 1

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The attachment lists points on each graph.

a) The equation for a horizontal line is ...

  y = constant

Here, the output value is always 5, so that is the constant in the equation:

  y = 5

__

b) The graph is a straight line through the origin, so the equation is that of a proportion:

  y = kx . . . . . for some constant of proportionality k

Using the point (x, y) = (-4, 2), we can find k from ...

  k = y/x = 2/(-4) = -1/2

The equation of the line is ...

  y = -1/2x

__

c) The graph has a rise of 3 units for each run of 1 unit, so the slope is ...

  m = rise/run = 3/1 = 3

The y-intercept (where the line crosses the y-axis) is b = -2. Then the slope-intercept form of the equation is ...

  y = mx + b . . . . . for slope m and y-intercept b

  y = 3x - 2

_____

You can check that the equation is satisfied by each of the points listed. For example, ...

  a) in = -4, out = y = 5 . . . matches table

  b) in = 2, out = y = -1/2(2) = -1 . . . matches table

  c) in = 1, out = y = 3(1) -2 = 1 . . . matches table

(You can check the other table values.)

Answer:

y=x^2

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

8n ; n=2

substitute 2 for n

8*2 = 16

Answer:

16

Step-by-step explanation:

plug in 2 for the letter n. 8(2)=16

parantheses mean multiplication.

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

For our case, the solutions will be:

[tex]n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}[/tex]

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

A rectangular book measures 4 x 7, the length of its diagonal is √65.

Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In mathematical terms, if a and b represent the lengths of the two shorter sides (also known as legs) of a right triangle, and c represents the length of the hypotenuse, then the Pythagorean theorem can be expressed as:

a² + b² = c²

Given:

Base = 4

Length = 7.

To determine the length of diagonal by using  Pythagorean  theorem.

Diagonal² = Base² + Length²

Plugging the values in Pythagorean  theorem.

Diagonal² = 4² + 7²

Diagonal = √(16 + 49) =√65.

Therefore, the length of diagonal of book is √65.

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Answer:

B

Step-by-step explanation:

Just test two coordinates. Just do y2-y1/x2-x1. 60-80/20-10 = -20/10 = -2

Answer:

482

Step-by-step explanation:

3x-5=178+12=82-22x=482

Answer:

it is 1.08

Step-by-step explanation:

it was this on khan

Answer:

dont cheat

Step-by-step explanation:

Answer:

yes this is so normal to do

Answer:

{x}={2}

{x}=\frac{{{10}-\sqrt{{-{4}}}}}{{2}}={5}-{i}={5.0000}-{1.0000}{i}

{x}=\frac{{{10}+\sqrt{{-{4}}}}}{{2}}={5}+{i}={5.0000}+{1.0000}{i}

Answer:

[tex]\mathtt{\huge\star{\pink{\underline{ option\: D }}}}\huge\star[/tex]

Answer:

Harry made 9 resolutions

Step-by-step explanation:

Okay, so the first thing that we have to do is divide 13 by 2.

Of course, it wouldn't equal so let's just say 6.

So both boys made around 6 resolutions each.

Now we have to take into consideration the 5 more resolutions that Harry made.

What I did to answer this question was I kept taking away Tim's resolutions and giving them to Harry until Harry had 5 more resolutions than Tim.

Finally, my resolution ratio came to 4:9

Tim made 4 resolutions and Harry made 9

In conclusion, Harry made 9 resolutions.

Plz mark me brainliest :)

There are 9 resolutions did Harry make.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Harry and Tim both made New Years resolutions.

Harry made 5 more resolutions than Tim.

And, Together they made 13 resolutions.

Now,

Let number of resolution Tim make = x

Then, Number of resolution Harry make = x + 5

Since, Together they made 13 resolutions.

Hence, We get;

⇒ x + (x + 5) = 13

⇒ 2x = 13 - 5

⇒ 2x = 8

⇒ x = 4

Thus, Number of resolution Harry make = x + 5

                                                              = 4 + 5

                                                              = 9

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[tex]6=\frac{m}{8}\\x=48[/tex]

Answer:

tanks for the freh points

Step-by-step explanation:

we all like freh points

Answer:

butter dog sounds cool

Step-by-step explanation:

EXOTIC BUTTERS?

Answer:

I'm not even lying, it's none of them ;-;

btw if you want, can you give me brainliest :((

Answer:

4

Step-by-step explanation:

16^(1/2)

when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number

we are left with an order 2 root, which is a square root

[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]

Step-by-step explanation:

Y= 3x + b

As, to know the total, which is y, we need to solve for the cost

So first for money per square foot = $3

For square foot = x

So, price for x square foot = $3x (here this is the value of m)

Now, for value b,

$100 is added to the cost as its the charge, as the flat fee

So the value of b = $100

So, y=3x+100

Answer:

The answer is 5.

Step-by-step explanation:

The distance formula is ↷

[tex] d\sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } [/tex]

All we got to to do right now is plug in!

[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]

Therefore, the distance between 3,4 and 3,9 is 5.

Answer:

75°

Step-by-step explanation:

this isnt really step by step but its some thing

102

-27=

75°