What is the equation of the line that passes through the point (5,4) and has a slope of 4/5?

Suraj took a slice of pizza from the freezer and put it in the oven. The pizza was heated at a constant rate.

iragen [17]

Answer:

The pizza heats up an average of 7.50 degrees per minute

Step-by-step explanation:

The table shown

Time (minutes) Temperature (degrees Celsius)

1 2.52

7 47.547

13 92.592

Since the pizza was heated at a constant rate, we can model the experiment as a line, where the slope represents how fast the pizza was heated

Slope

m = (y2 - y1)/(x2 - x1)

Let

(x1,y1) = (7, 47.547)

(x2,y2) = (13, 92.592)

m = (92.592 - 47.547)/(13-7)

m = 7.5075

The pizza heats up an average of 7.50 degrees per minute

4 0

3 years ago

Read 2 more answers

nadia wants to enclose a square garden with fencing has an area of 141 ft.² to the nearest foot how much fencing will she need e

Andreas93 [3]

We know that area of the square is 141 square feet. Therefore, we can figure out the dimension of square using formula for area as shown below:

$Area=a^{2}\\141=a^{2}\\a=\sqrt{141}=11.874$

We know that fencing is used along the sides of the square. Therefore, amount of fencing required will be equal to perimeter of square.

Hence, we can write:

$\text{Amount of fencing}=\text{Perimeter of square}$

$\text{Amount of fencing}=4a=4(11.874)=47.496$

Upon rounding to nearest foot, we get the amount of fencing required as 48 feet.

7 0

2 years ago

Simplify 5(x+3) -9x+4

laiz [17]

Answer:

$=5x+15-9x+4\\=-4x+19\\$

5 0

2 years ago

Read 2 more answers

What is the area of a quadrilateral with vertices at (-2, - 6),

svet-max [94.6K]

Answer:

18 sq. unit

you can draw it on no. line

actually it's rectangle with l=3 and b=6

4 0

2 years ago

Use the Polynomial Identity below to help you create a list of 10 Pythagorean Triples:

Stolb23 [73]

Answer:

(3,4,5)

(6,8,10)

(5,12,13)

(8,15,17)

(12,16,20)

(7,24,25)

(10,24,26)

(20,21,29)

(16,30,34)

(9,40,41)

Just choose 2 numbers from {1,2,3,4,5,6,7,8,...} and make sure the one you input for x is larger.

Post the three in the comments and I will check them for you.

Step-by-step explanation:

We need to choose 2 positive integers for x and y where x>y.

Positive integers are {1,2,3,4,5,6,7,.....}.

I'm going to start with (x,y)=(2,1).

x=2 and y=1.

$(2^2+1^2)^2=(2^2-1^2)^2+(2\cdot2\cdot1)^2$

$(4+1)^2=(4-1)^2+(4)^2$

$(5)^2=(3)^2+(4)^2$

So one Pythagorean Triple is (3,4,5).

I'm going to choose (x,y)=(3,1).

x=3 and y=1.

$(3^2+1^2)^2=(3^2-1^2)^2+(2\cdot3\cdot1)^2$

$(9+1)^2=(9-1)^2+(6)^2$

$(10)^2=(8)^2+(6)^2$

So another Pythagorean Triple is (6,8,10).

I'm going to choose (x,y)=(3,2).

x=3 and y=2.

$(3^2+2^2)^2=(3^2-2^2)^2+(2\cdot3\cdot2)^2$

$(9+4)^2=(9-4)^2+(12)^2$

$(13)^2=(5)^2+(12)^2$

So another is (5,12,13).

I'm going to choose (x,y)=(4,1).

$(4^2+1^2)^2=(4^2-1^2)^2+(2\cdot4\cdot1)^2$

$(16+1)^2=(16-1)^2+(8)^2$

$(17)^2=(15)^2+(8)^2$

Another is (8,15,17).

I'm going to choose (x,y)=(4,2).

$(4^2+2^2)^2=(4^2-2^2)^2+(2\cdot4\cdot2)^2$

$(16+4)^2=(16-4)^2+(16)^2$

$(20)^2=(12)^2+(16)^2$

We have another which is (12,16,20).

I'm going to choose (x,y)=(4,3).

$(4^2+3^2)^2=(4^2-3^2)^2+(2\cdot4\cdot3)^2$

$(16+9)^2=(16-9)^2+(24)^2$

$(25)^2=(7)^2+(24)^2$

We have another is (7,24,25).

You are just choosing numbers from the positive integer set {1,2,3,4,... } and making sure the number you plug in for x is higher than the number for y.

I will do one more.

Let's choose (x,y)=(5,1).

$(5^2+1^2)^2=(5^2-1^2)^2+(2\cdot5\cdot1)^2$

$(25+1)^2=(25-1)^2+(10)^2$

$(26)^2=(24)^2+(10)^2$

So (10,24,26) is another.

Let (x,y)=(5,2).

$(5^2+2^2)^2=(5^2-2^2)^2+(2\cdot5\cdot2)^2$

$(25+4)^2=(25-4)^2+(20)^2$

$(29)^2=(21)^2+(20)^2$

So another Pythagorean Triple is (20,21,29).

Choose (x,y)=(5,3).

$(5^2+3^2)^2=(5^2-3^2)^2+(2\cdot5\cdot3)^2$

$(25+9)^2=(25-9)^2+(30)^2$

$(34)^2=(16)^2+(30)^2$

Another Pythagorean Triple is (16,30,34).

Let (x,y)=(5,4)

$(5^2+4^2)^2=(5^2-4^2)^2+(2\cdot5\cdot4)^2$

$(25+16)^2=(25-16)^2+(40)^2$

$(41)^2=(9)^2+(40)^2$

Another is (9,40,41).

5 0

3 years ago