Answer:
The solution is the point (18,0)
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Solve the system by substitution
substitute equation B in equation A

solve for x
Adds (1/3)x both sides


Adds 6 both sides



<em>Find the value of y</em>
substitute the value of x in equation A or equation B

therefore
The solution is the point (18,0)
The Pythagorean Theorem works only with right angle triangles. There are three sides: Side A, Side B, and the hypotenuse.
The formula for the Pythagorean Theorem is: a^2 + b^2 = c^2
To find the answer (without the exponent), you should find the square root.
Now that we have the formula, let's apply it to a triangle:
90^2 + 95^2 = c^2 =
8100 + 9025 = 17125
Square root = 130.86252328302
130.86252328302 is the exact measure of the hypotenuse.
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Answer: The y intercept is -7 or (0,-7)
Step-by-step explanation:
First convert the equation into slope intercept form .
y - 3 = -2(x + 5) Multiply on the right side
y -3 = -2x - 10 Add 3 to both sides
+3 +3
y = -2x - 7
In this case the y intercept is -7 and it is when x is zero.
Answer:
The two angles are 69° and 21°.
Step-by-step explanation:
Write out the expression:
let x and y be two angles that are complementary and the sum of their measures is 90°
-> x° + y° = 90°
if one angle is 6º more than three times the other angle:
-> x° = 6° +3y°
Plug x = 6+3y into x° + y° = 90°
6° + 3y° + y° = 90°
Solve for y
4y° = 84°
y° = 21°
Plug y into x° + y° = 90°
x° + 21° = 90°
Solve for x°
x° = 90° - 21° = 69°