Answer:
Acute Triangle
Step-by-step explanation:
All angles are less than 90 degrees.
Answer:
Step-by-step explanation:
<u>Given equation</u>
<u>Answer choices</u>
A. The equation represents a proportional relationship.
- TRUE, it is in the form of y = kx
B. The unit rate of change of y with respect to x is 8.5
- TRUE, y = mx + b, the slope m = 8.5 is the rate of change
C. The slope of the line is 2/17
D. A change of 17 units in x results in a change of 2 units in y.
- False, a change of x = 17 results in 17*8.5 = 144.5 units in y
E. A change of 4 units in x results in a change of 34 units in y.
Answer:
- (1,3) is inside the triangle
Step-by-step explanation:
Orthocenter is the intersection of altitudes.
We'll calculate the slopes of the two sides and their altitudes ad find the intersection.
<h3>Side QR</h3>
- m = (3 - 5)/(4 - (-1)) = -2/5
<u>Perpendicular slope:</u>
<u>Perpendicular line passes through S(-1, -2):</u>
- y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2
<h3>Side RS</h3>
- m = (-2 - 3)/(-1 -4) = -5/-5 = 1
<u>Perpendicular slope:</u>
<u>Perpendicular line passes through Q(-1, 5):</u>
- y - 5 = -(x - (-1)) ⇒ y = -x + 4
The intersection of the two lines is the orthocenter.
<u>Solve the system of equations to get the coordinates of the orthocenter:</u>
- 5/2x + 1/2 = x + 4
- 5x + 1 = -2x + 8
- 7x = 7
- x = 1
<u>Find y-coordinate:</u>
The orthocenter is (1, 3)
If we plot the points, we'll see it is inside the triangle
The graphs are illustrations of biased and unbiased distributions.
The true statement is (d) R is biased, and W is unbiased
<h3>How to determine which of the graph is biased</h3>
From the graph, we have the following highlight
- The population parameter of graph R is at the right of the distribution
- The population parameter of graph W is at the center of the distribution
The above means that:
Graph R is biased, and graph W is unbiased
Read more about biased distributions at:
brainly.com/question/26415101
Answer:
log[3(x+4)] is equal to log(3) + log(x + 4), which corresponds to choice number three.
Step-by-step explanation:
By the logarithm product rule, for two nonzero numbers
and
,
.
Keep in mind that a logarithm can be split into two only if the logarithm contains the product or quotient of two numbers.
For example,
is the number in the logarithm
. Since
is a product of the two numbers
and
, the logarithm
can be split into two. By the logarithm product rule,
.
However,
cannot be split into two since the number inside of it is a sum rather than a product. Hence choice number three is the answer to this question.