Answer:
x=3
Step-by-step explanation:
Step 1: Add two to 7 and inverse the minus 2
3x=7+2 3x=9
Step 2: Divide each number by 3.
3x/3=x and 9/3=3
so x=3
Answer:
The y-intercept y = 4x - 5 is (0,-5).
Step-by-step explanation:
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Answer:
tan θ = (√13)/3
Step-by-step explanation:
cosθ = 3/√22 = adj/hyp
third side of triangle has dimension
c = √((√22)² - 3²) = √13
tan θ = opp/adj = (√13)/3
Answer:
An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:
Step-by-step explanation:
Given the equation

converting the line into the slope-intercept form y = mx+b, where m is the slope


The slope of the line = m = 5
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
Therefore, the slope of new line = – 1/m = -1/5 = -1/5
Using the point-slope form of the line equation

where m is the slope of the line and (x₁, y₁) is the point
substituting the slope of new line = -1/5 and (-2, 3)



Add 3 to both sides


Therefore, an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:
The value of x is -2 and the value of y is -1.
Step-by-step explanation:
Step 1; The given equations are taken as
-3y -9x =21 or -9x -3y = 21, take this as equation 1
-18x +4y =32, take this as equation 2
Step 2; We multiply equation 1 with 2 and equation 2 with 1 so we can cancel out the variable x in both equations. By doing this we get
-18x -6y =42, take this as equation 3
-18x +4y =32, this is the same as equation 2
If we subtract 3 with 2, we cancel out the x variable and can calculate the value of y.
10y = -10 , y = -10/10 = -1
Step 3; Substituting this value of y in any of the previous equations we will get x's value. Here this value of y is substituted in equation 2.
-18x +4(-1) =32, -18x -4 = 32 , -18x = 36, x=-2.
So we have x = -2 and y = -1.