Answer:
x=−6 and y=7
Step-by-step explanation:
Step: Solve8x+5y=−13for x:
8x+5y=−13
8x+5y+−5y=−13+−5y(Add -5y to both sides)
8x=−5y−13
8x
8
=
−5y−13
8
(Divide both sides by 8)
x=
−5
8
y+
−13
8
Step: Substitute
−5
8
y+
−13
8
forxin3x+4y=10:
3x+4y=10
3(
−5
8
y+
−13
8
)+4y=10
17
8
y+
−39
8
=10(Simplify both sides of the equation)
17
8
y+
−39
8
+
39
8
=10+
39
8
(Add 39/8 to both sides)
17
8
y=
119
8
17
8
y
17
8
=
119
8
17
8
(Divide both sides by 17/8)
y=7
Step: Substitute7foryinx=
−5
8
y+
−13
8
:
x=
−5
8
y+
−13
8
x=
−5
8
(7)+
−13
8
x=−6(Simplify both sides of the equation)Step: Solve8x+5y=−13for x:
8x+5y=−13
8x+5y+−5y=−13+−5y(Add -5y to both sides)
8x=−5y−13
8x
8
=
−5y−13
8
(Divide both sides by 8)
x=
−5
8
y+
−13
8
Step: Substitute
−5
8
y+
−13
8
forxin3x+4y=10:
3x+4y=10
3(
−5
8
y+
−13
8
)+4y=10
17
8
y+
−39
8
=10(Simplify both sides of the equation)
17
8
y+
−39
8
+
39
8
=10+
39
8
(Add 39/8 to both sides)
17
8
y=
119
8
17
8
y
17
8
=
119
8
17
8
(Divide both sides by 17/8)
y=7
Step: Substitute7foryinx=
−5
8
y+
−13
8
:
x=
−5
8
y+
−13
8
x=
−5
8
(7)+
−13
8
x=−6(Simplify both sides of the equation)
Answer:
angle 2= 52.7° (same as angle 4)
angle 1 and angle 3 = 127.3°
Answer:
26 units
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and reflection.
If a point A(x, y) is reflected across the y axis, the new point is A'(x, -y).
The reflection of the point (-2,-4) across the x axis gives (-2, 4) while the reflection of (3, -4) gives (3, 4)
The distance between (-2, -4) and (-2, 4) is the length while from (-2, -4) to (3, -4) is the breath. Hence:
Perimeter of rectangle = 2(length + breath) = 2(8 + 5) = 2(13) = 26 units
9 x 8= 72, so the answer would be:
72
9514 1404 393
Answer:
10 +8i
Step-by-step explanation:
You add these the same way you would if they were considered to be polynomials.
(7 +2i) +(3 +6i) = (7 +3) +(2 +6)i = 10 +8i
