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2 years ago

My maths teacher set me this as work. And never told me what to do

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

4 0

<h3>Area of shape P = 12 square cm</h3>

Explanation:

Shape P is a triangle with the base of 4 units across the horizontal portion up top.

The height of the triangle is 6 units. Count the spaces down the middle of the triangle and you should get 6 spaces.

Area = base*height/2

Area = 4*6/2

Area = 24/2

Area = 12 square cm.

You might be interested in

What is the value of the x-coordinate of point W? Enter your answer as a decimal to the nearest o.5.

Rus_ich [418]

Answer:

The value of the x-coordinate is -3.5.

Step-by-step explanation:

To determine the x-coordinate you have to look at how far the point is on the x-axis which is the sideways line of the graph.

Point W is between -3 and -4 on the x-axis which would make the x-coordinate -3.5.

Hope this helps!

5 0

3 years ago

Using the bijection rule to count binary strings with even parity.

AleksandrR [38]

Answer:

Lets denote c the concatenation of strings. For a binary string <em>a</em> in B9, we define the element f(a) in E10 this way:

f(a) = a c {1} if a has an odd number of 1's
f(a) = a c {0} if a has an even number of 1's

Step-by-step explanation:

To show that the function f defined above is a bijective function, we need to prove that f is well defined, injective and surjective.

f is well defined:

To see this, we need to show that f sends elements fromo b9 to elements of E10. first note that f(a) has 1 more binary integer than a, thus, it has 10. if a has an even number of 1's, then f(a) also has an even number because a 0 was added. On the other hand, if a has an odd number of 1's, then f(a) has one more 1, as a consecuence it will have an even number of 1's. This shows that, independently of the case, f(a) is an element of E10. Thus, f is well defined.

f is injective (or one on one):

If a and b are 2 different binary strings, then f(a) and f(b) will also be different because the first 9 elements of f(a) form a and the first elements of f(b) form b, thus f(a) is different from f(b). This proves that f in injective.

f is surjective:

Let y be an element of E10, Let x be the first 9 elements of y, then f(x) = y:

If x has an even number of 1's, then the last digit of y has to be 0, and f(x) = x c {0} = y
If x has an odd number of 1's, then the last digit of y has to be a 1, otherwise it wont be an element of E10, and f(x) = x c {1} = y

This shows that f is well defined from B9 to E10, injective, and surjective, thus it is a bijection.

3 0

3 years ago

The %20 tip on a $73 meal need answers asap

andrezito [222]

Answer:

Bill:$73.00

Tip:$14.60

Total:$87.60

5 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the point (2,−6) and is parallel to the line x-2y=8

lana [24]

Answer:

$y=\frac{1}{2}x-7$ , or x-2y=14

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (2, -6) and is parallel to the line x-2y=8

First, we need to find the slope of x-2y=8, since parallel lines have the same slopes

We can convert the equation from standard form (ax+by=c) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept), in order to help us find the slope of the line

Start by subtracting x from both sides

-2y=-x+8

Divide both sides by -2

y= $\frac{1}{2}x$ -4

The slope of the line x-2y=8 is 1/2

It's also the slope of the line parallel to it.

Since we know the slope of the line, we can plug it into the equation for slope intercept form:

$y=\frac{1}{2}x+b$

Now we need to find b.

As the equation of the line passes through (2, -6), we can use it to help solve for b

Substitute -6 as y and 2 as x:

$-6=\frac{1}{2}(2)+b$

Multiply

-6=1+b

Subtract 1 from both sides

-7=b

Substitute -7 as b into the equation:

$y=\frac{1}{2}x-7$

The equation can be left as that, or you can convert it into standard form if you wish.

In that case, you will need to move 1/2x to the other side:

$-\frac{1}{2}x+y=-7$

A rule about the coefficients a, b, and c in standard form is that a (coefficient in front of x) CANNOT be negative, and every coefficient must be an integer (a whole number, not a fraction or decimal).

So multiply both sides by -2 in order to clear the fraction, as well as change the sign of a

x-2y=14

Hope this helps!

8 0

2 years ago

a gallon of water weighs 8.354 simon uses 11.81 gallons of water while taking a shower about how many pounds of water did simon

sashaice [31]

A gallon of water weighs 8.354 what? A gram, an ounce, a pound? Just multiply 8.354 by 11.81 for answer if you are looking for pounds.

6 0

3 years ago