X+y+5=0
y=-x-5
If a solution exists y=y so we can say
x^2-9x+10=-x-5 add x+5 to both sides
x^2-8x+15=0 now factor
x^2-3x-5x+15=0
x(x-3)-5(x-3)
(x-5)(x-3) so x=3 and 5, using y=-x-5
y(3)=-8 and y(5)=-10
So the two solutions are:
(3,-8) and (5,-10)
Answer:
x = 45
y = 45
z = 11.1
Step-by-step explanation:
Remark
The triangle is a right triangle. That means that it has 1 right angle.
It is also isosceles which means that the two legs that are not the hypotenuse are equal.
Result: z and 11.1 are equal z = 11.1
More remark
If the triangle is isosceles, that means that the angles that are not right angles must also be equal.
90 + x + y = 180
but x = y
90 + 2x = 180 Subtract 90
2x = 180 - 90 Divide by 2
2x/2 = 90/2
x = 45
4b. Laura has a 12-foot ladder. The safety instructions recommend the
base of the ladder be placed 4 feet from the base of the wall. How highwill the ladder be able to reach on the wall? WRITE YOUR ANSWER AS A SIMPLIFIED RADICAL. (HINT: Use the abbreviation sqrt to mean "square root of." For example an answer might look like 5sqrt3, and be read "five times the square root of 3".)
We have y=2x and y=x+2
They both equal y, so substitute the first equation for y in the second equation.
2x=x+2
Let’s get x to one side. Let’s subtract x from both sides.
X=2
Since x=2, just plug in 2 for x.
2+2=4
So,
X=2
Y=4
