Answer:
A line has one dimension because it is made up of all points that extend infinitely in either direction.
Step-by-step explanation:
The height of the telephone tower is 120 feet.
The first step to solve this problem is to figure out what fraction of the height of the actual object the shadow is. We can find this by dividing the length of the shadow by the actual height.
4/6 = 2/3, meaning that the shadow is 2/3 of the actual height
Since we know that the shadow is 2/3 of the height, we can multiply by the reciprocal, 3/2, to find the actual height if we know the length of the shadow.
80 · 3/2 = 120, so the height of the telephone tower is 120 feet.
Answer:
x= -2 and (x+3)=0, x= -3
Step-by-step explanation:
"The sum of a number" well we do not know what the number is right, so let's call the number x. So we know we have x and we are adding it to something because it says sum. What are we adding it to? "5 times its reciprocal". A reciprocal of a number is equal to 1/the number. So the reciprocal of x is just 1/x. But we want 5 times this so multiply by 5. So now we have x + 5(1/x). Now we need to set it equal to something to be able to solve it. The problem says the sum of a number and 5 times its reciprocal is -6, so x + 5(1/x) = -6. Now just use order of operations to solve for x. First multiply: x + 5/x =-6. Then the next stperfect is harder because we want to get x by itself but we have x + 5/x. A trick you can do here is multiply the whole equation by x. This cancels out the fraction for us: x(x + 5/x) = -6(x) becomes x^2 +5 = -6x. Now we have a quadratic equation, to solve this you have to Factor or use the quadratic formula. I'll try factoring: first we need all of the terms on one side: x^2 +5x +6 =0. Now we need factors of 6 that add or subtract to 5. There are a couple of options here we could use 6 and -1 or 2 and 3. 6 and -1 would not work because both signs in the equation are plus which means we need our factors to both be positive, also if you tried 6 and -1 and then foiled out the factors to check it, it would not work. So 2 and 3 have to be the factors so the equations equals (x+2)(x+3)=0. Now we set each factor equal to zero and solve for x: (x+2)=0, x= -2 and (x+3)=0, x= -3. Those are the two numbers that would work! Hope this helps!!
Answer: 24
Work: 4x= 4•12, yz = 8•3, so you have to do 48 (4 times 12) - 24 (8 times 3)
X≥8 shows the inequality for at least 8
