Answer:
5083
Step-by-step explanation:
6^3 + 5(8 + 15)
Simplify the bracket first
6 x 6 x 6 + 5 (23)
216 + 5 (23)
221 (23)
221 x 23 = 5083
Answer:
Irrational Number
Step-by-step explanation:
So, since it's a right triangle, you can use Pythagorean Theorem to calculate the measure of the hypotenuse.
Pythagorean Theorem says the hypotenuse squared = the sum of the sides squared.
5² + 6² = 25 + 36 = 61
And the square root of 61 is 7.8102496.... and the decimal continues in no distinguishable pattern. Therefore, the length of the hypotenuse is an irrational number.
Answer:
The distance point between (-10, -7) and (-8, 1) is 6
Step-by-step explanation:
To get that number in the problem, you need to translate first the word problem into mathematical expression.
We will let x as the number.
six more than the product of a number and -2 is greater than 10 can be written as (-2x) + 6 > 10
We will now solve for x to get the number.
(-2x) + 6 > 10
Add -6 to both sides of the equation
-2x + 6 - 6 > 10 - 6
-2x > 4
Divide both sides of the equation with -2
Take note that if we divide a negative number in inequality, the inequality symbol will be change from greater than to less or from less than to greater than.
-2x / -2< 4 / -2
x < -2
Therefore, the number that we are looking for is less than -2.
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