Answer:
Daniiel is 33 years old.
The son is 7 years old.
Step-by-step explanation:
x+26=3x
The x represents the son.
To solve for x:
-26=x-3x
-26=-2x
x=13
Since the father will be 3 times his son's age in six years we subtract 6.
x=7
This means the son is 7 years old as of right now. To find the father's age you do 7+26=33
Step-by-step explanation:
tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)
= (sin2B + cos2B)/[(cosB)(sinB)]
= 1/[(cosB)(sinB)]
= (1/cosB)(1/sinB)
= (secB)(cscB)
Answer:
4. A
5. B
Step-by-step explanation:
4. I'll solve question four first:
The two marked points on the line are (-2, -3)&(2, 5). Using the formula to find slope(y2-y1/x2-x1), substitute in the points.
5--3/2--2 or 8/4;simplified to 2/1 or 2.
Now use point-slope form: y-y1 = m(x-x1)
y--3 = 2(x--2): Substitute in the values of y1, m, and x1.
y+3 = 2x + 4: Distribute.
y = 2x + 1: Subtract three from both sides.
5. Do the same for question 5.
The first point is (-4, 2), the second point is (4, -1).
-1-2/4--4; -3/8.
Now use point-slope form:
y-2 = -3/8x -12/8: Substitute in the values of x1, y1, m, and distribute the slope to the parentheses.
y = -3/8x + 1/2
Answer:
B. 22
Step-by-step explanation:
Quotient of 18 and 2 is 9, and just take the 9 out of the next series and you will be left with 22.
