Answer:
dilation
Step-by-step explanation:
whenever the shape is dilated, or scaled by a factor of any number, the shape will change size and will become similar rather than congruent. congruent shapes have the same dimensions as the parent or original shape.
Answer:
The number of registrants in art workshop is 49.
Step-by-step explanation:
The dance workshop has three times the number of registrants than the art workshop the art workshop has 98 less writings than the dance workshop how many registrations the art workshop has
Let the registrants in the art workshop is p.
The registrants in the dance work shop is 3 p.
According to question,
p = 3p - 98
2 p = 98
p = 49
So, the number of registrants in art workshop is 49.
Answer:
positive 29
Step-by-step explanation:
Answer: See explanation. Hope this helps, please consider making me Brainliest.
Step-by-step explanation:
To find the rate of change, subtract then divide. This is especially a good strategy when you have the x and y values when x = 0:
604 - 460 = 144
144 divided by 18 =
8
Therefore, the rate of change is 8. We can even go further to create an equation for this:
y intercept = 460 (because 0 multiplied by the rate of change would be 0).
slope = 8
Slope-intercept form: y = mx + b --> y = 8x + 460
Hope this helps, please consider making me Brainliest.
Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C
