Answer:
b = 7
Step-by-step explanation:
Since the triangle is right use the tangent ratio to solve for b
and the exact value
tan30° = 
, thus
tan30° = 
= 
and
= ( cross- multiply )
b = 7
Answer:
O It has the same slope and a different y-intercept.
Step-by-step explanation:
y = mx + b
m = 3/8
b = 12
y = (3/8)x + 12
---
Data in the table: slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).
Change in x and y between two points. I'll choose (-2/3,-3/4) and (1/3,-3/8).
Change in y: (-3/8 - (-3/4)) = (-3/8 - (-6/8)) = 3/8
Change in x: (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1
Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8
The slope of the equation is the same as the data in the table.
Now let's determine if the y-intercept is also the same (12). The equation for the data table is y = (2/3)x + b, and we want to find b. Enter any of the data points for x and y and then solve for b. I'll use (-2/3, -3/4)
y = (3/8)x + b
Use (-2/3, -3/4)
-3/4 =- (3/8)(-2/3) + b
-3/4 = (-6/24) + b
b = -(3/4) + (6/24)
b = -(9/12) + (3/12)
b = -(6/12)
b = -(1/2)
The equation of the line formed by the data table is y = (3/8)x -(1/2)
Therefore, It has the same slope and a different y-intercept.
The right answer is Option C.
Step-by-step explanation:
Given inequality is
6(2x-1) > 24
Solving the inequality
Adding 6 on both sides
Dividing both sides by 12
Therefore,
The right answer is Option C.
Keywords: inequality, division
Learn more about division at:
#LearnwithBrainly
Answer:
8x+2y=68
If this doesn't answer your question, please comment so that I can help you.
Answer:
1 1/22
Step-by-step explanation:
