Answer:
x = 45 and y = 90
Step-by-step explanation:
Let the third angle be z
z = 180 - 135 (Linear Pair)
z = 45
Since its an iscosceles triangle,
<z = <x (angles opposite to equal sides have equal angles)
<x = 45 degree
<z + <x + <y = 180
45 + 45+ <y = 180
90 + <y = 180
<y = 180 - 90
<y = 90
Therefore x = 45 and y = 90
Hope u understood please mark as brainliest
Thank You
Answer:
x-8<-15
Step-by-step explanation:
Answer:
Step-by-step explanation:
|4x-3|=5√(x+4) ⇔ |4x-3|²=5²(√(x+4))² and x+4 ≥ 0
⇔ (4x-3)² = 25(x+4) and x+4 ≥ 0 ( because : /a/² = a²)
⇔16x²-24x+9 = 25x +100 and x+4 ≥ 0
⇔ 16x² -49x - 91 =0 and x+4 ≥ 0 quadratic equation
Δ = (-49)²-4(16)(-91) = 8225
two solution : X1 = (49-√8225)/32 ≅ - 1.3 accept (-1.3+4 ≥ 0)
X2 = (49+√8225)/32 ≅4.37 accept (4.37+4 ≥ 0)
Answer:
1 . 25 or 5/4 as a fraction
Step-by-step explanation: Hope this helps mark me branliest plssss;)
Answer: Choice A
y = -3(x+2)^2 + 10
=================================================
Work Shown:
y = -3x^2-12x-2 is in the form y = ax^2+bx+c with
a = -3
b = -12
c = -2
The x coordinate of the vertex is
h = -b/(2a)
h = -(-12)/(2*(-3))
h = 12/(-6)
h = -2
We'll plug this into the original equation to find the corresponding y coordinate of the vertex.
y = -3x^2-12x-2
y = -3(-2)^2-12(-2)-2
y = 10
So k = 10 is the y coordinate of the vertex.
Overall, the vertex is (h,k) = (-2,10)
Meaning that we go from this general vertex form
y = a(x-h)^2 + k
to this
y = -3(x - (-2))^2 + 10
y = -3(x+2)^2 + 10
