Which equation represents the relationship between z and y shown in the table?


a) y= 1/2x - 4
b)y= 2x - 3
c)y= 2x + 1
d)y= 1/2x + 4

Answer:

4. 432 cm^2/2 = 216 cm^2

6. 309.76 mm^2

8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2

484/2 = 242pi or 759.88 in^2.

10. 297.84 in^2/2 = 148.92 in^2

Step-by-step explanation:

To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.

A square is equal on all sides, so you would just square the measurement of the one side.

To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).

I hope this helps!

The area of a shape is the amount of space it can occupy.

The areas of the shapes are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively

(a) Triangle

Given that:

[tex]Base = 27cm[/tex]

[tex]Height = 16cm[/tex]

The area is:

[tex]Area = 0.5 \times Base \times Height[/tex]

[tex]Area = 0.5 \times 27cm \times 16cm[/tex]

[tex]Area = 216cm^2[/tex]

(b) Square

Given that:

[tex]Length = 17.6mm[/tex]

The area is:

[tex]Area = Length^2[/tex]

[tex]Area = (17.6mm)^2[/tex]

[tex]Area = 309.76mm^2[/tex]

(c) Semi-circle

Given that:

[tex]diameter =44in[/tex]

First, calculate the radius (r)

[tex]r = 0.5 \times diameter[/tex]

[tex]r = 0.5 \times 44in[/tex]

[tex]r = 22in[/tex]

The area is:

[tex]Area = \frac{\pi r^2}{2}[/tex]

[tex]Area = \frac{3.143 \times (22in)^2}{2}[/tex]

[tex]Area = 760.61in^2[/tex]

(d) Triangle

Given that:

[tex]Base = 20.4in[/tex]

[tex]Height = 14.6in[/tex]

The area is:

[tex]Area = 0.5 \times Base \times Height[/tex]

[tex]Area = 0.5 \times 20.4in \times 14.6in[/tex]

[tex]Area = 148.92in^2[/tex]

Hence, the areas are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively

Read more about areas at:

https://brainly.com/question/16418397

Answer:

22+x<=55

D

Step-by-step explanation:

Answer:

4684.5

Step-by-step explanation:

6000 * (1 - 6%)4 = 4684.5 (1.d.p)

Answer:

0

Step-by-step explanation:

The slope formula is (change in y)/(change in x)

since the numerator (change in y) is 0, the slope will be 0

Answer:

The result would be 0 (zero)

Step-by-step explanation:

Okay so it is kind of difficult to explain with words but I will try to make it simple, so you could start with each number first.

What I mean by that is graph it like it says first, starting with -9 and then go four spaces to the right and then five more spaces to the right.

Next, Start four spaces to the right then go five more spaces right and then go nine spaces to the left.

And lastly, start five spaces to the right and go nine spaces to the left and then go four spaces to the right. H

Hopefully this is what you were looking for!

Answer:

(x × y) - 6 < 30

xy - 6 < 30

xy < 30 + 6

xy < 36

Step-by-step explanation:

Let us represent:

First number = x

Second number = y

The product of two numbers decreased by six is less than 30.

The algebraic expression is given as

(x × y) - 6 < 30

xy - 6 < 30

xy < 30 + 6

xy < 36

Answer:

7

Step-by-step explanation:

Answer:

3 carrots, 4 crackers, and 6 grapes.

Step-by-step explanation:

The greatest common factor of 9, 12, and 18 is 3, so we know that we can make at most 3 identical lunchboxes. Now we have to divide each number by 3 to figure out how much of each item is in each lunchbox. 9/3=3, 12/3=4, and 18/3=6 so there will be 3 carrots, 4 crackers, and 6 grapes in each lunchbox.

Put the whole question

Answer:

The value of the maximum wage is £87.2

Step-by-step explanation:

Here, we want to get the maximum wage given the ratio it has with the minimum wage

To get the value of the maximum wage, we proceed to multiply the value of the minimum wage by 10

Mathematically, that would be;

8.72 * 10 = £87.2

Answer:

The value of g(f(3)) = 2

Step-by-step explanation:

We are given:

[tex]f(x)=2x[/tex]

[tex]g(x) = x-4[/tex]

And we need to find g(f(3))

First we need to find g(f(x))

by putting the value of f(x) into g(x) i.e put x = 2x

[tex]g(x)=x-4\\g(f(x))=2x-4[/tex]

Now, we need to find g(f(3)) by putting x = 3 in g(f(x))

[tex]g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2[/tex]

So, the value of g(f(3)) = 2

Answer:

B(2.75,2.5)

Step-by-step explanation:

B(x,y)

Bx= Ax+Cx 1 + 4.5 5.5

---------- = -------------- = --------- = 2.75

2 2 2

By = Ay+Cy 1 + 4 5

---------- = ----------- = ---------- = 2.5

2 2 2

coordinates of point B(2.75,2.5)

Answer:

B) x = 2√2, y = 2

Step-by-step explanation:

The easiest way to solve this is to see that because one corner is 90 degrees, and the other 45, then the third one must also be 45.  This means that the two sides on the right angle are the same length, so y = 2.

With that then, you can use the Pythagorean theorem to solve for x:

[tex]x = \sqrt{2^2 + 2^2}\\x = \sqrt{4 + 4}\\x = \sqrt{8}\\x = 2\sqrt{2}[/tex]

So the correct answer is b.  x is equal to two root two, and y is equal to two.

Answer:

x=3 i think

Step-by-step explanation:

Answer:

Multiply dno. plus nume. by 2

Step-by-step explanation:

get a base of 100

Answer:

1/11>x

Step-by-step explanation:

4−23x>2−x

 +23x to both sides

4>2+22x

 -2 from both sides

2>22x

  Divide by 22

1/11>x

Answer:

tooth A

Step-by-step explanation:

0.23 = 0.230

0.230 > 0.195

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

so many isosceles triangles

y = 4 .. just by inspection.. we can see

SOH CAH TOA    <= ask me about this if you don't get it

Cos(x) = Adj / Hyp

we don't know the Hyp this time so solve for that

Hyp = Adj / Cos(x)

Hyp = 4 / Cos(45)

Hyp = 4 / [tex]\sqrt{2}/2[/tex]

maybe you know.. but i'll just remind you to bring the fraction up from the denominator... invert and multiply

Hyp = 4 * 2/[tex]\sqrt{2}[/tex]

Hyp = 8/ [tex]\sqrt{2}[/tex]

also we are supposed to write as a decimal rounded to the nearest 10th

Hyp = 5.66

Answer: 8x+10y

Step-by-step explanation:

2(4x)= 8x

2(5y)= 10y

8x+10y

Step-by-step explanation:

this chart is a life saver!

Answer:

No

Step-by-step explanation:

Find the unit rates, meaning how many green umbrellas per pink umbrella? So we have 2 ratios:

1. 3:21

2. 6:36

For the first ratio, divide both sides by 3 to find how many green umbrellas per pink umbrella. 1:7

Do the same for the second one, 1:6. So they are different.

Answer:

r horses and I am a little girl but I've never seen her

Answer:

k

Step-by-step explanation:

Answer:

27x +20 (27 per hour plus the 20, x is how many hours)

27(5) +20

135 +20

$155

Step-by-step explanation:

i hope this helped :)

Answer:

Step-by-step explanation:

we have a rectangle that measure 21 inches by 16 inches

to find the rectangle(which is the hypotenuse)  we will use Pythagorean theorem

c^=a^2+b^2

c^=21^2+16^2=697

c=[tex]\sqrt697}[/tex] =26.40 which rounded to the nearest tenth =26

Answer:

Y-intercept

Step-by-step explanation:

Because they both meet