The only line that would be parallel to this line and still hit that point would be that line. Is that an option, or did the paper maybe say (4,-4) or maybe even say to draw the line perpendicular to the point?
Answer:
Y = (1/3)X + 4
Step-by-step explanation:
You need to know the equation Y = mX + b, for two sets of coordinates
Therefore we need to find the slope and the interception of the given points.
1) The slope of the line
We can use the point slope form, and clear for the slope m
y - y1 = m (x-x1)
m = (y -y1) / (x -x1)
The data given is: A (3, 5) and B (0, 4)
Then substitute in the slope: m = (5 -4)) / (3 -0) = (1/3)
m = 1/3
2) Find the interception
From the general equation slope intercept Y = mX + b, clear b
b = Y - mX
Now substitute any given point to obtain b the interception
b = Y - mX
Lets choose point A (3, 5), remember m = 1/3
b =5 - (1/3)(3)= 4
b = 4
3) Therefore with the values of m and b, the general equation for the slope intercept form is:
Y = mX + b -->
Y = (1/3)X + 4
Answer:
The correct answer is C. All integers where n ≥ 1
a_3 is 45 and a_10 is 98415
Step-by-step explanation:
Given
a_1 = 5
a_2 = 15
First of all we have to calculate the common ratio of the sequence. The common ratio is the ratio between two consecutive terms of a geometric sequence.
So,
The explicit formula for geometric sequence is:
Putting the value of r and a_1
Putting n=3 in the explicit formula
Putting n=10 for tenth term
Hence,
a_3 is 45 and a_10 is 98415
Keywords: Geometric sequence, Explicit formula
Learn more about geometric sequence at:
#LearnwithBrainly
Answer:
61,01%
Step-by-step explanation:
We must consider that her total energy intake is the addition of the energy given by the carbohydrates, fats and proteins she takes.
1g of carbohydrates contains 4kcal
1g of proteins contains 4kcal
1g of fat contains 9 kcal.
That is: 243 g of carbohidrates is equal to 972 kcal; 41g of fat is equal to 369 kcal and 63 g of proteins is equal to 252 kcal.
If we sum up all the calories she intakes in one day, the result is= 972kcal+369kcal+252kcal=1593kcal.
Now, we make a rule of 3: If 1593kcal is the 100% of the intake, then 972kcal = 972kcal*100%/1593kcal = 61,01%
