Answer:
Length of hypotenuse = √( a² + b²)
Step-by-step explanation:
The question is incomplete and unclear. From the question, it is clear we are to determine the hypotenuse of the triangle. Hence the triangle is a right angled triangle.
Find attached the diagram used in solving the question.
From the diagram,
a = opposite
b = adjacent
c = hypotenuse
To find the hypotenuse of a right angled triangle, we apply Pythagoras theorem.
Using Pythagoras theorem
Hypotenuse² = opposite ² + adjacent²
Insert the values of each, we have:
c² = a² + b²
Then we find the Square root both sides
c = √( a² + b²)
So we can insert the values of a and b if we are given.
For instance, if b = 6
c = √( a² + 6²)
Using the diagram,
Hypotenuse: c = √( a² + b²)
Answer:
y= -1/4x - 6
Step-by-step explanation:
So the point slop form is y = mx + b, where m is the slope : -1/4, and b is the y-intercept (which we don't know yet).
To find b, all you need to do is plug in -1/4 for m and the point (4, -7) for x and y respectively, giving you:
-7 = (-1/4)(4) + b
Then do some algebra shenanigans: multiply -1/4 by 4 to get -1
-7 = -1 + b
then add the 1 to both sides.
b = -6
Then, you can plug the b and the m back into the problem to give you:
y = -1/4x - 6
Answer:
11
Step-by-step explanation:
i just did it right now
Answer:
A
Step-by-step explanation:
Triangle ADC and Triangle BDA are similar. <em>So, we can setup ratios to solve for x.</em>
<em>Similar triangles has corresponding lengths proportional.</em>
<em />
From Triangle ADC, CD corresponds to DA, so
From Triangle BDA, AD corresponds to DB.
<em>Now we can write ratios as:</em>
<em></em>
<em />
<em>rounding to nearest tenth, 7.7</em>
correct answer is A
Answer:
-2 < x < 2
Step-by-step explanation:
|x| < 2
Is when:
-2 < x < 2
Make a line from -2 to 2, with open circles at -2 & 2.. because they are not included