Answer:
y = 
x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 
x ← is in slope- intercept form
with slope m = - , c = 0
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= , then
y = x + c ← is the partial equation
To find c substitute (3, - 8) into the partial equation
- 8 = 4 + c ⇒ c = - 8 - 4 = - 12
y = x - 12 ← equation of perpendicular line
A triangle with lengths 5, 12, and 13 is a Pythagorean triple
The approximate acute angles are 22.6° and 67.4°
Pythagorean triple
Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:
A triangle whose sides form a Pythagorean triple is called a right angle triangle.
The longest side is the hypotenuse side.
Therefore,
- 5² + 12²
- 25 + 144 = 169
- √169 = 13
Therefore,
5² + 12² = 13²
This means the triangle is a Pythagorean triple.
<h3>Acute angles</h3>
Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.
Therefore, let's find them
- tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
- 180 - 22.6 - 90 = 67.4°
learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults
Answer:
x=32.91
Step-by-step explanation:
Given: Triangle
Find: x
_______
Tan(35°)=x/47
x=tan(35)×47
x=0.7×47
x=32.91
Hope it helps!
P1/T1 = P2/T2
<span>748 / 525 = P2/293 </span>
<span>P2 = 748/525 X 293 = 417.455 kPa </span>
Answer:
When you fill in the blanks you get ($0.25*x)+(0.1*y)+(0.05*z). When you evaluate it you get $1.35, which is the total amount of change in her pocket.
Step-by-step explanation:
All of the numbers that are given in the equation are values of the coins (ex: a quarter is worth $0.25) and the variables are the different coins. Multiply the quantity of each coin (that's the variable) by its value then add them together. Finally, plug in the numbers it gives you for x, y, and z.
