Answer:
(- 1, 1) and (- 5, - 35)
Step-by-step explanation:
since both equations express y in terms of x, equate the right sides
x² + 15x + 15 = - x² + 3x + 5 ( subtract - x² + 3x + 5 from both sides )
2x² + 12x + 10 = 0 ( divide all terms by 2 )
x² + 6x + 5 = 0 ← in standard form
(x + 1)(x + 5) = 0 ← in factored form
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 5 = 0 ⇒ x = - 5
substitute these values into either of the 2 equations and solve for y
x = - 1 : y = (- 1)² + 15(- 1) + 15 = 1 - 15 + 15 = 1 ⇒ (- 1, 1 )
x = - 5 : y = (- 5)² + 15(- 5) + 15 = 25 - 75 + 15 = - 35 ⇒ (- 5, - 35 )
None of the given options
Answer:
the first on 5×107=535 the second one 3×105=315
Answer:
In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other. The linear pair of angles are always supplementary as they form on a straight line. In other words, the sum of two angles in a linear pair is always 180 degrees.
Step-by-step explanation:
I HOPE THIS HELPS
Step-by-step explanation:
Starting with f(x)
f(x)
f(-x) ...... reflection in the y - axis
f(-x+2) ..... horizontal translation by 2 units in the negative x-direction
f(-x+2) + 6 ...... vertical translation by 6 units in the positive y-direction
4f(-x+2) + 6 ..... scaling (or dilation) by a factor of 4
-4f(-x+2) + 6 ..... reflection in the x-axis
Answer:
2 · 7 · 4 + 2 · 10 · 7 + 2 · 4 · 10
2(10 · 4 + 10 · 7 + 4 · 7)
Step-by-step explanation:
Given dimensions of the square prism:
- length = 7 units
- width = 4 units
- height = 10 units
In order to find the surface area, we must find the area of each face.
Area of a rectangle = width x length
The square prism has 3 pairs of faces:
SA of bases = 7 x 4
SA of side 1 = 4 x 10
SA of side 2 = 7 x 10
So the total surface area is
2(7 x 4) + 2(4 x 10) + 2(7 x 10) = 276 units squared
<u>Solutions</u>
2 · 7 · 4 + 2 · 10 · 7 + 2 · 4 · 10
2(10 · 4 + 10 · 7 + 4 · 7)
