Answer:
27°
Step-by-step explanation:
XWY and VWY are supplementary
∴ XWY + VWY = 180°
∴ XWY = 180° - VWY
XYW and ZYW are supplementary
∴ XYW + ZYW = 180°
∴ XYW = 180° - ZYW
ΔXWY is a right triangle at X
∴ XWY + XYW = 90°
∴ 180° - VWY + 180° - ZYW = 90°
∴ 180° - 6x + 180° - 4x = 90°
∴ 360° - 10x = 90°
∴ 10x = 270°
∴ x = 27°
Answer:
Slope= 3
Step-by-step explanation:
y - 4= 3(x+6)
y - 4= 3x + 18 distributive property
y - 4(+4) = 3x + 18(+4)
cancel out the 4 with its oposite and apply to both sides.
y = 3x + 22 final answer
Remember the slope intersept equation... y=mx+b
m is slope
b means the y-intersept.
So the final slope of the line is 3. (demostrated by graph below)
<em>Program for graph: Desmos</em>
Answer:
B. No solutions
Step-by-step explanation:
y= -3x + 9
3y = -9x + 9
Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.
y = -3x + 9
y = -3x + 3
Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.
Answer: No solutions
Going to put your function in slope-intercept form for the sake of easier input into Desmos.
y - 2 = - (x + 5)
y - 2 = - x - 5
y = - x - 5 + 2
y = - x - 3