Answer:
<h2>
y = ²/₅
x - 3</h2>
Step-by-step explanation:
Changing to slope-intercept form:
5x + 2y = 12 {subtract 5x from both sides}
2y = -5x + 12 {divide both sides by 2}
y = -⁵/₂
x + 6
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y =-⁵/₂
x + 1 ⇒ m₁ = -⁵/₂
-⁵/₂×
m₂ = -1 ⇒ m₂ = ²/₅
So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅
9514 1404 393
Answer:
x = 19
A = 30°
B = C = 75°
Step-by-step explanation:
In an isosceles triangle, the angles opposite the congruent sides have the same measures.
A = B
3x +18 = 7x -58
76 = 4x . . . . . . . . add 58-4x
19 = x . . . . . . . . . divide by 4
Then the equal angles measure ...
A = B = 3(19) +18 = 75
C = 2(19) -8 = 30
Angles A, B, C measure 75°, 75°, 30°, respectively.
_____
<em>Alternate solution</em>
The sum of angles in a triangle is 180°, so you could write ...
(3x +18) +(7x -58) +(2x -8) = 180
12x = 228 . . . . . add 48
x = 19 . . . . . divide by 12
Answer:
The first one towards the left, or the green triangle, would be 70 degrees.
The second one, or the one in the middle, would be 108 degrees.
The last one, or the yellow triangle, would be 65 degrees.
Answer:
The original price of the phone is £388.
Step-by-step explanation:
Since 5% of the price of the phone is reduced, you can simply multiply the reduced number which is £19.4 by 20. Your final answer should be £388 when you put it on a calculator or do it on a piece of paper.
20mps. Because velocity is the speed per unit. In this case it is going 20 m per second
