Answer:
d = 25
Step-by-step explanation:
The value of d has to satisfy the inequality
so replace d with one of the given options
We have to simplify the fraction first
Solve for x:
x^2 + 10 x + 12 = 36
36 = 36:
x^2 + 10 x + 12 = 36
Subtract 12 from both sides:
x^2 + 10 x = 24
Add 25 to both sides:
x^2 + 10 x + 25 = 49
Write the left hand side as a square:
(x + 5)^2 = 49
Take the square root of both sides:
x + 5 = 7 or x + 5 = -7
Subtract 5 from both sides:
x = 2 or x + 5 = -7
Subtract 5 from both sides:
Answer: x = 2 or x = -12 Thus the Answer is A.
The product in scientific notation is 8*10^2
<h3>
How to multiply and divide in scientific notation?</h3>
Here we want to find the product between 4*10^6 and 2*10^6, and write that in scientific notation.
First, we can solve the direct product:
(4*10^6)*(2*10^6) = (4*2)*(10^6*10^6)
Here we used the fact that we can multiply in any order we want.
Now we will use the property:
a^n*a^n = a^{n + m}
(4*2)*(10^6*10^6) = 8*10^{6 + 6} = 8*10^12
The correct option is the second one, counting from the top.
If you want to learn more about scientific notation:
brainly.com/question/5756316
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Answer:
x = 3/2 or 1.5
Step-by-step explanation:
distribute 3 to the 2x and -1 by multiplying
6x - 3 = 6
add 3 to both sides to get 6x by itself and it keeps both sides equal
6x = 9
divide by 6
x = 9/6 = 3/2
x = 3/2
Answer:
C. 12 feet.
Step-by-step explanation:
The lamp post has a shadow that's twice as long as it'a actual height. The tree's shadow is 24 feet long, so it would be 24/2, which is 12 feet.
