In a slope intercept equation in the form of y=mb+b,
m is the slope. m is the coefficient of x, meaning it is the number x is multiplied by. In this case, m happens to be
-5
which is your answer
<u><em>Note: It seems you may have unintentionally missed to add the complete question statement, but I will make sure to make you understand the concept of angle congruence anyways using which you may be able to clear all your queries regarding the concept.</em></u>
Answer:
When we say the angles Y and B are Congruent. It means these congruent angles have the same angle measured in degrees. (or in radians as both are units of measure for angles).
The figure a is also attached below to visualize the concept.
Step-by-step explanation:
When we say the angles Y and B are Congruent. It means these congruent angles have the same angle measured in degrees. (or in radians as both are units of measure for angles).
Here are some additional things to observe:
- Angles are congruent as long as the angles are the same
- they don't have to point in the same direction
- they don't have to be made with lines of the same length.
For instance, below is the example. Where,
As the measure of these angles is same. It means the angles Y and B are Congruent. The figure a is also attached below to visualize the concept.
Keywords: congruent angles
Learn more about congruent angles from brainly.com/question/1700207
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Chart relating to the question is attached below.
Answer:
349 students
Step-by-step explanation:
Based on the chart given, we can obtain the experimental probability or proportion for the travel plan of 75 students :
Proportion who would be traveling by car :
Number traveling By car / number of samples
p(car) = 23 / 75 = 0.30666
If total number of students = 1138
Using the proportion obtained from the sample, the number of students who would be traveling by car from the population would be :
= 0.30666 * 1138
= 348.98 students
= 349 students
Factor the following:
10 y^2 - 35 y + 30
Factor 5 out of 10 y^2 - 35 y + 30:
5 (2 y^2 - 7 y + 6)
Factor the quadratic 2 y^2 - 7 y + 6.
The coefficient of y^2 is 2 and the constant term is 6.
The product of 2 and 6 is 12.
The factors of 12 which sum to -7 are -3 and -4. So 2 y^2 - 7 y + 6 = 2 y^2 - 4 y - 3 y + 6 = y (2 y - 3) - 2 (2 y - 3):
5 y (2 y - 3) - 2 (2 y - 3)
Factor 2 y - 3 from y (2 y - 3) - 2 (2 y - 3):
Answer: 5 (2 y - 3) (y - 2)
Answer:
Below in bold.
Step-by-step explanation:
f(x) = 1/2x^2 + 4x
Convert to vertex form:
f(x) = 1/2(x^2 + 8x)
= 1/2 [(x + 4)^2 - 16]
= 1/2(x + 4)^2 - 8 <------ Vertex form.
So the Vertex is at (-4, - 8).
Axis of symmetry is x = -4.
y -intercept (when x = 0) = 8-8 = 0.