Answer:
All real numbers are solutions.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(3x+2)=16x+7−4x+1
(4)(3x)+(4)(2)=16x+7+−4x+1(Distribute)
12x+8=16x+7+−4x+1
12x+8=(16x+−4x)+(7+1)(Combine Like Terms)
12x+8=12x+8
12x+8=12x+8
Step 2: Subtract 12x from both sides.
12x+8−12x=12x+8−12x
8=8
Step 3: Subtract 8 from both sides.
8−8=8−8
0=0
the ladder leaning against the wall has slope 3
Answer:
Step-by-step explanation:
5. You are asked to write an equation of the line in slope-intercept form, so you need to determine the slope of the line and the y-intercept.
You're lucky. One of the points, (0,1), has an x-coordinate of 0, so you know that the y-intercept is 1.
Use the coordinates of the points to determine the slope of the line.
slope = (difference in y-coordinates)/(difference in x-coordinates) = (10-1)/(3-0) = 9/3 = 3
The slope-intercept equation of the line is y = 3x+1
:::::
7. When x = 0, function A = 0 and function B = 3, so function B has a greater initial value.
Answer:
2
Step-by-step explanation:
18-4^2=2
Hello!
To find the value of b, we need to use the Law of Sines. The law states,
sin A / a = sin B / b = sin C / c.
We are given these values: sin A = 55 degrees, side a = 8 cm, sin C = 82 degrees.
Since angle B is not given, we have to find it ourselves. We can find the measure of angle B by subtracting both the given angle values from 180 degrees because every triangle is equal to 180 degrees.
180 - 55 - 82 = 43 | The measure of sin B = 43 degrees.
sin (55) / 8 = sin (43) / b (multiply both sides by b)
0.10239... · b = 0.68199... (divide both sides by 0.10239...)
c = 6.6607...
The measure of side b is equal to about 6.7 centimeters.
