First, lets break down the sample equation: y=-2x+7
-2=m=slope
+7=b=Y-intercept
Using process of elimination:
A is not perpendicular because the angle created by slopes is unequal to 90
B and D are quadratic equations, and have no correlation with the sample equation
C is parallel to the sample equation
Is there a typo in your question? None of these answers are correct, but I am wiling to keep helping you, I enjoy Algebra.
Hmm, so that means that the diagonal of the square is 8
we draw and get a right triangle
pythagorean theorem
the legs are the same measure since it's a square
the hyptonue is 8
so
remember if the legs are a and b and the hypotnuse is c then
a²+b²=c²
alrighty
a=b
c=8
a²+a²=8²
2a²=64
divide both sides by 2
a²=32
sqrt both sides
a=√32
wait, the area is side times side, but it's a square so it's side² which is a²=32
the area is 32
answer is A
Answer:
x intercept: 15/8 and yintercerpt is 3/2
Step-by-step explanation:
to find y intercept you have to put equation in standard form.
10y=-8x+15
y=--4/5x+3/2
x intercept is when y=0, so we plug in 0
0=-4/5x+3/2
4/5x=3/2
x=15/8
Let x=ab=ac, and y=bc, and z=ad.
Since the perimeter of the triangle abc is 36, you have:
Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36
The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.
Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).
The perimeter of the triangle abd is 30:
Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60
So, we have two equations on x, y and z:
(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60
Substitute 2x + y by 36 from (eq.1) in (eq.2):
(eq.2') 36 + 2z = 60
And solve for z:
36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12
The measure of ad is 12.
If you prefer a less algebraic reasoning:
- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).
- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:
ad = 30 - (36/2) = 30 - 18 = 12
