Answer: (-5, 5)
<u>Step-by-step explanation:</u>
J = (-3, 1) K = (-8, 11) ratio 2 : 3 --> 2 + 3 = 5 segments
x-distance from J to K: -8 - (-3) = -5 units
y-distance from J to K: 11 - 1 = 10 units
Divide those distance into 5 segments:
x = -5/5 = -1 unit per segment
y = 10/5 = 2 units per segment
The partition is 2 segments from J:
x = -3 +2(-1) = -5
y = 1 + 2(2) = 5
The partition is located at (-5, 5)
Each sentence that has an “as” or “like” is a simile and each that doesn’t is a metaphor. Hope this helps!
Answer:
D. <F = 65 degrees
Step-by-step explanation:
First off, we know that the measures of <F and the angle adjacent to it add to 90 degrees, as indicated by the right angle. They are complementary angles.
The complementary angle of <F has an intercepted arc of 50 degrees. Because the angle is on the opposite end of the circle, it is half of the measure of the arc. Therefore, it is 25 degrees.
Because this angle and <F sum to 90, just subtract 90-25 to find <F.
<F = 65 degrees
Answer:
yes
Step-by-step explanation:
You need to note first two things.
1. The function f(x) need to be a continuous function on [-3,-1] (indeed f(x) is a polynomial function, is continuous on every real number x)
2. Take the closed interval [-3,-1]
Now, evaluate f(-3) and f(-1).

So, we have f(-3) < 0 and f(-1). So,
, then by the Intermediate Value Theorem, there exist
such that
.