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
The first step is to find the distance from the given point to each of the two foci as follows:
Distance D1:
(D1)^2 = (9-1)^2 + (0-6)^2 = 100
D1 = 10
Distance D2:
(D2)^2 = (11-1)^2 + (6-6)^2 = 100
D2 = 10
The constant sum is the summation of the two distances as follows:
constant sum = D1 + D2 = 10 + 10 = 20
The correct choice is:
a) 20
Answer:
(–3, –2)
Step-by-step explanation:
A linear equation is an equation in the form y = mx + b, where m is the slope of the line and b is the y intercept.
Equation A is represented by the points:
x: -5 -2 0 1
y: -4 -1 1 2
Equation A can be gotten by picking any two pair of points. Let us use (-5, -4) and (0, 1). We use this formula:
Equation B is represented by the points:
x: -6 -3 3 6
y: -4 -2 2 4
Equation B can be gotten by picking any two pair of points. Let us use (-6, -4) and (3, 2). We use this formula:
The solution to the system of equations is gotten by solving y = x + 1 and y = (2/3)x simultaneously.
Substitute y = (2/3)x in y = x + 1:
(2/3)x = x + 1
2x = 3x + 3
x = -3
Put x = -3 in y = (2/3)x
y = (2/3) (-3) = -2
Hence (-3, -2) is the solution
9/10 = z/8
cross multiply
9/10(10)(8) = z/8(8)(10)
9(8) = z(10)
72 = 10z
Isolate the z, divide 10 from both sides
72/10 = 10z/10
z = 72/10
z = 7.2
7.2, or D) is your answer
hope this helps
