What is the value of c? 4 units 5 units 6 units 7 units
2 answers:
Answer:
5 units
Step-by-step explanation:
You could use the Pythagorean Theorem since triangle WYZ is a right triangle. We know it is right because angle WYZ has the little square there meaning 90 degree measurement at that angle.
So the two legs have measurements 4 and 3.
We need to find the hypotenuse. We know c represent the hypotenuse measurement because it is opposite the 90 degree angle.
We need to solve:
Take square root of both sides:
.
Eventually you will start to remember (3,4,5) has a Pythagorean triple where the smaller measurements in the triple represent leg measurements while the largest represents the hypotenuse.
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Answer:
1. Alexa traveled at a faster rate because the slope of her line is , which is greater than the slope of the line described by the data in Mia’s table.
Step-by-step explanation:
We know that,
Slope of and
is
Mia records the distance traveled over the time by the table.
Taking the points (10,5) and (18,9), the slope is given by,
Mia's slope =
i.e. Mia's slope =
i.e. Mia's slope =
Alexa records the distance traveled over the time by the graph.
Taking the points (4,3) and (8,6), the slope is given by,
Alexa's slope =
i.e. Alexa's slope =
As, Alexa's slope = >
= Mia's slope.
So, the correct option is,
1. Alexa traveled at a faster rate because the slope of her line is , which is greater than the slope of the line described by the data in Mia’s table.
Answer:
Step-by-step explanation:
The only radical that matches the equivalent answer is the fifth one down. We can easily eliminate the radicals without exponents on the outside, since we know they won't create leftover fractions. So that leaves us with the second, fourth and fifth answers to contemplate.
Let's look at and
first. It's good to know that these are equivalent radicals. The numbers are the same, and they will produce the same answers.
When you do the math, the exponent rule gives us fractions of for exponents, and eventually, a
for both answers. So these are eliminated.
Now, for , we can easiy simplify by changing the 7th root to a fraction in our exponent. Use the rule:
- <em>Multiply the exponents:</em>
- <em>Insert the product into the exponent: </em> <u>
</u>
And we can see the answer we're looking for! If you use this method to look at the other problems, you'll see that this is the only radical that simplifies to the required answer.