Factorise to (5z-1)(z-4) = 0
then put 5z-1 = 0 so 5z = 1 z = 1/5
z-4=0 z = 4
z = 1/5 and 4
The best way to solve this equation is to simplify it. So first you’ll distribute the -2 on the left side. This will give you the equation -2t+8=10-2t. Now you bring t to one side by adding 2t to both sides. You will find that t cancels out and you are left with 8=10. Since this statement isn’t true there are no solutions to this equation.
Answer:
slope = 5
Step-by-step explanation:
To calculate the slope m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 8) ← ordered pairs from the table
m = = 5
The lesser number is 13.
Step-by-step explanation:
Step 1 :
Let x represent the first number and y represent the second number
Given, sum of 2 numbers = 30
So we have,y + x = 30
The difference of the 2 numbers = 4
so x - y = 4
Step 2 :
Adding the 2 equations obtained in step 2 we have,
2 x = 34 => x = 17
x + y = 30 => y = 30-x= 30 - 17 = 13
Step 3 :
Answer :
So 17 and 13 are the 2 numbers.
The lesser number is 13.
Answer:
17) h=I(1-cosθ); 18) h=1.404.
Step-by-step explanation:
17) h=I-BC;
In ΔABC: m(∠C)=90°, m(∠B)=θ, AB=I, then BC=AB*cos(∠B); ⇒ BC=Icosθ;
Then h=I-Icosθ or h=<u>I(1-cosθ)</u>.
18) if I=6 and θ=40°, then h=6(1-cos40°)≈6*(1-0.766)=<u>1.404</u>, where cos40°≈0.766.
For more details see the attachment.