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Zolol [24]
3 years ago
11

Matteo is following this recipe to make a cake.

Mathematics
1 answer:
alexdok [17]3 years ago
4 0

Answer:

48 ounces butter

42 ounces sugar

60 ounces of flour

25 eggs

6 TSP baking powder

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Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)
Bezzdna [24]

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula y = mx + b. We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula  m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of the given points into it. Then, simplify to find the slope, or m:

m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula y-y_1=m(x-x_1) and substitute values for m, x_1, and y_1. From there, we can convert the equation into slope-intercept form.

Since m represents the slope, substitute 1 in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

y-3=1(x-0)\\y-3 = x\\y = x + 3

8 0
3 years ago
What are the sine, cosine, and tangent of circle = 3pi/4 radians?
KengaRu [80]

if  you don't have a Unit Circle yet, this is a good time to get one, you can find many online, check maybe in yahoo images, or google images.

Check the picture below.

notice the section encircled in purple.

7 0
3 years ago
What was edwin average rate of jogging in miles per hour​
Svetach [21]

Answer:Edwin average rate of jogging in miles per hour is

2 miles per hour

At the end of 30 min Edwin completed the track 3 times before Jose.

Step-by-step explanation:

Hope this helps

6 0
3 years ago
Angie bake 100 cookies in 20 brownies she wanted to split them into equal groups for the bake sale each group must have the same
aalyn [17]

Answer:

20

Step-by-step explanation:


7 0
3 years ago
Are the area of a square and the length of its side directly proportional quantities?
Angelina_Jolie [31]

Answer:

Yes they are directly proportional quantities.

Step-by-step explanation:

We find the area of a square by;

A = length squared or (L)² , where 'L' stands for length and 'A' stands for area.

So Area = L²

Assume the length is a units and increase the length by 2 units

The initial area before increasing the length is a²

After increasing the length, the area becomes: (a + 2)² = a² + 4a + 4

Now we subtract the initial area from the final area and get;

(a² + 4a + 4) - a² = 4a + 4

So the new area increases by 4a + 4 units.

Hence, the area increases as the length increases implying that the area of a square is directly proportional to its length.

We denote this proportionality as;

A ∝ L

7 0
3 years ago
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