3x = -2y
or 3x + 2y = 0
it is the standard form.
Answer:
A
Step-by-step explanation:
To write the equation, find the slope of the line using the two points. Find the difference in y values over the difference in x values.
Write the equation using the slope m=3/2 and the point slope form.
This is the equation of the line. You can convert it to slope intercept form:
Answer:
D and F
Step-by-step explanation:
can be rewritten as .
From there you can use the quadratic formula (ignore the A, I can‘t seem to remove it), where a=1, b=4, and c=-8.
Then you get
Then you get
So
Which means or which are choices D and F.
9514 1404 393
Answer:
470.16 cm²
Step-by-step explanation:
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
__
The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
The area of the base will be ...
A = 1/2Pa
So, the total surface area is ...
A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²
Answer:
6
Step-by-step explanation:
Step 1:
3 ( 2x - 5 ) - 4x + 8 = - 1
Step 2:
5x - 15 - 4x + 8 = - 1
Step 3:
x - 15 + 8 = - 1
Step 4:
x - 7 = - 1
Answer:
x = 6
Hope This Helps :)