Answer:
the slope-intercept equation of a line that passes through the coordinate (-4,5) and (8,-1) is
Step-by-step explanation:
1) Apply the slope formula; y^2 - y^1 divided by x^2 - x^1
y^2 is -1
y^1 is 5
x^2 is 8
x^1 is -4
-1 - 5 = -6
8 - (-4) = 12
-6/12 is -1/2 or -0.5
2) To find the y-intercept, hoose either of the coordinates and replace y, m, and x in the y= mx+b formula.
5= -0.5(-4) + b
5= 2 + b
3= b
Answer:
the 2nd option
Step-by-step explanation:
If you change Week 5 into a decimal, you will get -1.8, which is the same as Week 4.
Hope this helps :)
This question requires creating a few equations and working through them step-by-step. Now, first let's give each of the shapes a variable: let's say that the blue shape is a, the orange shape is b and the green shape is c.
1. We can technically create six formulas for the magic square, with three for sum of the rows and three for the sum of the columns, however the smartest way to approach this is to observe whether there are any obvious answers that we can get.
We can see in row 2 that there are three of the same shape (a) that add to 57. This makes it very simple to calculate the value of the shape.
Since 3a = 57
a = 57/3 = 19
2. Now we need to find a row or column that includes a and one other shape; we could choose either column 2 or 3, so let's go with column 2. Remembering that the blue shape is a and the orange shape is b:
2a + b = 50
Now, given that a = 19:
2(19) + b = 50
38 + b = 50
b = 12
3. We can now take any of the rows or columns that include the third shape (c) since we already know the values of the other two shapes. Let's take column 1:
a + b + c = 38
19 + 12 + c = 38
31 + c = 38
c = 38 - 31
c = 7
Thus, the value of the blue shape is 19, the value of the orange shape is 12 and the value of the green shape is 7.
Answer:
is standard equation of hyperbola with vertices at (0, ±9) and foci at (0, ±11).
Step-by-step explanation:
We have given the vertices at (0, ±9) and foci at (0, ±11).
Let (0,±a) = (0,±9) and (0,±c) = (0,±11)
The standard equation of parabola is:
From statement, a = 9
c² = a²+b²
(11)² = (9)²+b²
121-81 = b²
40 = b²
Putting the value of a² and b² in standard equation of parabola, we have
which is the answer.
To answer this you need to figure out what 30% of the total number of carbs need to be whole-grain. Multiply 0.3 times 220 to get 66 grams. He did not meet his goal. Because he only ate 5 g, this is 61 less than he needs to meet his goal.
