Answer:
Part a) The temperature at noon was -3°F
Part b) The temperature at 3:00 pm was +2°F
Part c) The temperature at 11:00 pm was -6°F
Step-by-step explanation:
The complete question is
When Leo woke up he saw that the temperature was -8°F. By noon the temperature has increased 5°F. Part a) What was the temperature at noon?
Part b) By 3:00 pm, the temperature increased by another 5 degrees Fahrenheit was the temperature at 3:00 pm positive or negative?
Part c) By 11:00 pm, the temperature had dropped 8°F. Was the
temperature at 11:00 PM positive or negative? Explain.
Part a) we know that
You can use a number line to adds the numbers
-8+5=-3°F
therefore
The temperature at noon was -3°F
Part b) we know that
the temperature increased by another 5 degrees
You can use a number line to adds the numbers
-3+5=+2°F
therefore
The temperature at 3:00 pm was +2°F
Part c) we know that
the temperature had dropped 8°F
You can use a number line to adds the numbers
2-8=-6°F
therefore
The temperature at 11:00 pm was -6°F
Step-by-step explanation:
In order to be like terms, the variables and exponents must be the same.
3a can be combined with 14a and 4a.
4b can be combined with 3b and 16b.
a² cannot be combined with any of the terms.
answer:
48 + 12 + 35 + 57 + 42 + 15 + 74 + 29 = 312
divide by number of numbers,
312 / 8 = 39
the mean is 39.
<em>if correct, please mark the brainliest :)</em>
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If you're only provided with the lengths of a triangle, and you're asked to determine whether or not the triangle is right or not, you'll need to rely on the Pythagorean Theorem to help you out. In case you're rusty on it, the Pythagorean Theorem defines a relationship between the <em>legs</em> of a right triangle and its <em>hypotenuse</em>, the side opposite its right angle. That relationship is a² + b² = c², where a and b are the legs of the triangle, and c is its hypotenuse. To see if our triangle fits that requirement, we'll have to substitute its lengths into the equation.
How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.
So, substituting our values in, we have:
(2.6)² + (8.1)² = (8.6)²
Performing the necessary calculations, we have:
6.76 + 65.61 = 73.96
72.37 ≠ 73.96
Failing this, we know that our triangle cannot be right, but we <em>do </em>know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of <em>increasing the angle between a and b</em>. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be <em>obtuse</em>, which is to say: yes, there's an angle in it larger than 90°.
Answer:
24
Step-by-step explanation:
Substituting...
4(3) - 6(- 2)
12 + 12
24
