Step-by-step explanation:
The average rate of change is constant for a linear function. Another way to state this is that the average rate of change remains the same for the entire domain of a linear function. If the linear function is y=7x+12 then the average rate of change is 7 over any interval selected. y=mx+b , where m is the slope.
<em>https://socratic.org/questions/how-is-average-rate-of-change-related-to-linear-functions</em>
Answer:
Step-by-step explanation:
The line that passes through the two points (6, -23) and (11, r) has a slope of 4.
We want to determine the missing value of r.
We can use the slope formula:
Let (6, -23) be (x₁, y₁) and let (11, r) be (x₂, y₂). The final answer should be 4. Therefore:
Simplify and evaluate:
Multiply both sides by 5:
Therefore:
Step-by-step explanation:
4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.
7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9
Answer:
i-
Step-by-step explanation:
Since the two angles are equal, hence the angles B and angle 2 are congruent.
<h3>Congruent triangles</h3>
Congruent triangles are triangles that are similar to each other
Since the sum of the interior angles of a triangle is 180°, then
m∠B + 50° + 65° = 180°
Determine the value of <B
m∠B = 180° - (50° + 65°)
m∠B = 180° - 115°
m∠B= 65°.
Similarly, the sum of angle on a straight line is 180 degrees
m∠2 + 50° + 65° = 180°
m∠2 = 180° - (50° + 65°)
m∠2 = 180° - 115°
m∠2= 65°
As we can see that the two angles are equal, hence the angles B and angle 2 are congruent.
Learn more on congruent angles here; brainly.com/question/2938476
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