If you plot the triangle on a graph, you'll see that the shape is a right triangle. Using the distance formula we can calculate the distance between point A and point B, which is the hypotenuse.
√<span><span><span>(<span>2− (−2)</span>)^</span>2 </span>+ <span><span>(<span>4−1</span>)^</span>2
</span></span>√<span><span><span>(<span>2+2</span>)^</span>2 </span>+ <span><span>(<span>4−1</span>)^</span>2
</span></span>√<span><span><span>(4)^</span>2 </span>+ <span><span>(3)^</span>2
</span></span>√<span><span>6+9
</span>√</span><span><span>25
</span>= 5
5 + 6 + 8 = 19. The perimeter of triangle ABC is 19 units. Hope this helps:)
~Ash</span>
The matching function is what the example situation needs to perform to channel intermediaries in contributing values. In addition, the method is used to "match" the unmatched factors to its designated type. The Cobb-Douglas' equation is commonly used in describing the matching function.
Answer:
b. (√15)/4
Step-by-step explanation:
Since Sin Ф = (opposite side)/Hypotenuse, we have 2 sides of a right triangle.
Use Pythagorean theorem to solve for the missing leg (the adjacent side)
1² + b² = 4²
1 + b² = 16
b² = 15
b = √15
So the adjacent side is √15, so Cos Ф = (√15)/4
Answer:
A. f(x) = -4|x + 2| + 3
Step-by-step explanation:
An absolute value graph is a v-shaped graph whose equation has the form y = a| x - h| + k where (h,k) is the vertex. On the graph the vertex is (-2,3). This means its equation is y = a| x --2| + 3. It simplifies to y = a|x+2|+3. To find a, look at the answer options. Each option has 4 or -4. Since the graph faces downward, it has a negative leading coefficient of a = -4. The equation is y = -4|x+2|+3
Answer:
Benford’s law states that the probability that a number in a set has a given leading digit, d, is
P(d) = log(d + 1) - log(d)
The division property of logarithm should be use to make it as a single logarithm
P(d) = log ( (d + 1)/ d)
So the probability that the number 1 is the leading digit is
P(1) = log ( ( 1+1)/ 1)
P(1) = log ( 2)
P(1) = 0.301
Step-by-step explanation: