Answer:
y = 8x + 8
Step-by-step explanation:
The y-intercept is already given so we have our b = 8 so y = mx + b becomes y = mx + 8. Now we need to figure out the slope so looking at the chart I need to figure out what number when multiplied by the x value and added to b equals the y value. The answer is 8 because when we multiply it by 1 and add it to 8 we are left with 16, which supports the chart. The equation in slope intercept form is now y = 8x + 8
Answer:
Option D is the correct answer
Ans) The prime factorization of 90 is 2 × 3 × 3 × 5.
Answer:
(b) 36 degrees.
Step-by-step explanation:
K is the center of the circle so triangle KMN is isosceles and m < KMN = m KNM = 26 degrees ( base angles are equal)
So m < LMK = m <LMN - m < KMN
= 98 - 26
= 72 degrees.
Now triangle LKM is also isosceles since K is the center of the circle so
m < LKM = 180 - 2* 72
= 180 - 144
= 36 degrees.
Answer:
Now, the father is 60, and the son is 24.
Step-by-step explanation:
Now:
Father's age = f
Son's age = s
4 years ago:
Father's age = f - 4
Son's age = s - 4
In 12 years:
Father's age = f + 12
Son's age = s + 12
Now:
f = 3(s - 4)
In 12 years:
f + 12 = 2(s + 12)
We have 2 equations that we can solve in a system of equations.
f = 3(s - 4)
f + 12 = 2(s + 12)
f = 3s - 12
f + 12 = 2s + 24
f = 3s - 12
f = 2s + 12
Since above both equations are in terms of f, set the right sides equal and solve for s.
3s - 12 = 2s + 12
s = 24
f = 3(s - 4)
f = 3(24 - 4)
f = 3(20)
f = 60
Now, the father is 60, and the son is 24.
