Answer:
194
Step-by-step explanation:
Answer:
Rule: If working with an inequality and you either mult. or div. by a negative number, you must reverse the direction of the inequality symbol.
Step-by-step explanation:
Your job here is to simplify 9t-4>32, in which the variable (t) is already positive. Here you do NOT switch signs or reverse the direction of the inequality symbol. Adding 4 to both sides, we get 9t > 36, or t > 4.
If, however, you had -9t-4>32 to work with, the situation would be different because t in this inequality is negative. Adding 4 to both sides results in:
-9t > 36. To solve for t, we must divide both sides by -9 AND reverse the direction of the inequality symbol:
t < -4.
Rule: If working with an inequality and you either mult. or div. by a negative number, you must reverse the direction of the inequality symbol.
Answer:
Step-by-step explanation:
This is a question that uses the Pythagorean Theorem.
a = 35 feet
b = x which is the height of the tree.
c = 3*x + 1 so we are trying to find x. Substitute into a b and c
a^2 + b^2 = c^2
35^2 + x^2 = (3x + 1)^2
35^2 + x^2 = 9x^2 + 6x + 1 Subtract x^2 from both sides.
35^2 = 8x^2 + 6x + 1 Subtract 35^2 from both sides.
0 = 8x^2 + 6x + 1 - 35^2
0 = 8x^2 + 6x - 1224
Does this factor?
(x + 12.75)(x - 12)
x - 12 = 0 is the only value that works.
x = 12
The tree is 12 feet high.
Note: I used the quadratic formula to solve this.
Answer:
Step 1 write the equation for perimeter (2L+2W =24)
Step 2 write the equation for area L x W = 32
Step 3 rewrite the equation of area so that one variable is on the right side L=32/W
Step 4 substitute L from step 3 into Equation 1 and simplify 2(32/W)+2W=24
Step 5 having found the width in step 4, use equation 3 to find the length
Step-by-step explanation:
<em>This is just added to show you how to solve but limit your answer to the answer above: rate brainliest please</em>
Area = L*W
Perimeter = 2(L+W)
So say L*W=32
and 2(L+W) = 24 which is 2L+2W =24
From area L=32/W
Then substitute it into perimeter
2(32/W)+2W=24 if you simplify this you get Width is 4 and 8
then length =32/W but W is 4 and 8 So L= 8 and 4
Meaning you have two options first rectangle is W=4 and L is 8, second triangle W=8 and Length=4
Answer:
$519.43
Step-by-step explanation:
bc it is
