4.25 is the correct answer
Answer:
2x+3
Step-by-step explanation:
The area of the rectangle can be found by length x width. The area is 32x+48 and the length is 16. Factor the area 32x+48 using 16 as the GCF: 16(2x+3). This means the width is 2x+3.
Step-by-step explanation:
WB = 13.2
we know that diagonal of parallelogram bisect each other
so, WB = YB
BY = 13.2
![hope \: it \: helps](https://tex.z-dn.net/?f=hope%20%5C%3A%20it%20%5C%3A%20helps)
Translation by h right and k up: f(x-h)+k.
Vertically scale by k and reflect across the x-axis: -k·f(x).
After the translation, your function is
f(x) = (x-2.5)² -7
After the scaling and reflection, your function is
f(x) = (-2/5)((x -2.5)² -7)
Answer:
p = 4.0
q = 2.0
angle <P = 64 degrees
Step-by-step explanation:
We can use the definition of cosine to find the value of side p (the adjacent side to the 26 degree angle, via the formula:
![cos(26^o)= \frac{adjacent}{hypotenuse} \\cos(26^o)= \frac{p}{4.5}\\p= 4.5 *cos(26^o)\\p=4.0445](https://tex.z-dn.net/?f=cos%2826%5Eo%29%3D%20%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%5C%5Ccos%2826%5Eo%29%3D%20%5Cfrac%7Bp%7D%7B4.5%7D%5C%5Cp%3D%204.5%20%2Acos%2826%5Eo%29%5C%5Cp%3D4.0445)
which rounded to the nearest tenth gives : p = 4.0
Now we use the sine function to help us determine side q:
![sin(26^o)= \frac{opposite}{hypotenuse} \\sin(26^o)= \frac{q}{4.5}\\q= 4.5 *sin(26^o)\\q=1.9726](https://tex.z-dn.net/?f=sin%2826%5Eo%29%3D%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%20%5C%5Csin%2826%5Eo%29%3D%20%5Cfrac%7Bq%7D%7B4.5%7D%5C%5Cq%3D%204.5%20%2Asin%2826%5Eo%29%5C%5Cq%3D1.9726)
which rounded to the nearest tenth gives:
q = 2.0
Finally, we determine the measure of angle P using the fact that the addition of all internal angles of a triangle must add to 180 degrees:
< P + < Q + < R = 180
< P + 26 + 90 = 180
< P = 180 - 26 - 90
< P = 64 degrees