Step-by-step explanation:
The above given expression "72t+8 " have to be factorized by the following methods.
<u>Step 1 : </u>
First we must check both numbers in order to obtain common factor for both ,for this equation "8" is the common factor for both .
<u>Step 2:</u>
After obtaining the common factor for the equation equation, we must now take the factor as common outside the bracket and form the equation as follows,
⇒ 8 * ( 9*t + 1 )
Here there are the two factors for the equation " 72 t+ 8 " that are <u>8 </u>and <u>9t+1.</u>
<u>Step 3 (optional) : </u>
Now check weather the factors are correct or not by multiplying factors with each other.
Multiplying ,
⇒ 8 * ( 9*t + 1 )
Gives -
⇒ 72 t+ 8
Answer:
Step-by-step explanation:
1. 0.4y = x is a direct proportion. It'd be more appropriate to write this as
y = x / 0.4, or y = 2.5x, in which case 2.5 is the constant of proportionality.
2. x = 1 - 2y is not a direct proportion because of the offset (1). A line representing a direct proportion must go through the origin (0, 0); this particular line does not do that.
Answer:
Step-by-step explanation:
a). Let the number of spoons = x
And number of forks = y
Total number of spoons and forks bought by Perry = 10
x + y = 10 --------(1)
Cost of one spoon = $5
Cost of one fork = $3
Therefore, total cost of x spoons and y forks = $(5x + 3y)
5x + 3y = 42 -------(2)
b). Now we can convert these equations into the slope-intercept form.
x + y = 10 ⇒ y = -x + 10
Table for input output values,
x 2 4 6
y 8 6 4
5x + 3y = 42
3y = -5x + 42
y = 
x 0 3 6
y 14 9 4
Point of intersection of these lines will be (6, 4).
Answer: 49/9
Step-by-step explanation: 42/9 + 7/9 = 49/9
Make first fraction into improper fraction with the same common dominator as 7/9 and add them both
Hope this helps:)
from given figure, we obtain that the points R, T and B are on the same line, that is, on the edge of the rectangular pyramid.
So these points are collinear.
Also all these points on the same plane. Therefore, the points R, T and B are collinear and coplanar.
The third option is the correct answer
