Answer:
y =
Step-by-step explanation:
From the given table,
Two points are (1, 15) and (7, 47)
If the two points and are lying on a line then slope 'm' of the line will be,
m =
=
=
=
Let the equation of a line passing through (h, k) is,
y - h = m(x - k)
If the line passes through (1, 15)
y - 1 =
y =
y =
y =
Answer:
The triangle is not equilateral.
Step-by-step explanation:
Distance formula:
Distance from (a, a) to (-a, -a):
Distance from (-a, -a) to (-3a, 3a):
Distance from (-3a, 3a) to (a, a):
The three sides do not have the same length, so the triangle is not equilateral.
J = 9 because 2007 / 223 = 9, and when you multiply 223 x 9, you get 2007
Answer:
<h3><u>1.</u>)</h3>
3n + 1 = 7n - 5
1 + 5 = 7n - 3n
6 = 4n
3/2 = n
<h3><u>2</u><u>.</u>)</h3>
2[x + 3(x - 1)] = 18
2[x + 3x - 3] = 18
2(4x - 3) = 18
8x - 6 = 18
8x = 12
x = 12/8
x = 3/2
<h3>
<u>3</u><u>.</u>)</h3>
6(y + 2) - 4 = -10
6y + 12 - 4 = -10
6y = -10 - 8
6y = -18
y = -3
<h3>
<u>4</u><u>.</u>)</h3>
2x² = 50
x² = 50/2
x = √25
x = 5
<h3>
<u>5</u><u>.</u>)</h3>
5 + 2(k + 4) = 5(k - 3) + 10
5 + 2k + 8 = 5k - 15 + 10
2k - 5k = -5 - 13
-3k = -18
k = 6
<h3>
<u>6</u><u>.</u>)</h3>
6 + 2x(x - 3) = 2x²
6 + 2x² - 6x = 2x²
-6x = 2x² - 2x² - 6
x = 1
<h3>
<u>7</u><u>.</u>)</h3>
2/3x - 18 = x/6
12(2/3x - 18 = x/6)
8x - 216 = 2x
8x - 2x = 216
6x = 216
x = 36
<h3><u>
8.</u>
)</h3>
x - 2/3 = 2x + 1/4
12(x - 2/3 = 2x + 1/4)
4x - 8 = 6x + 3
4x - 6x = 8 + 3
2x = 11
x = 11/2
<u>-TheUnknownScientist</u><u> 72</u>
So you add all the like terms.......i.e numbers with same variable
so,
5x+9y-7x+2-5y-7x+2-3x
=(5-7-7-3)x+(9-5)y+2+2
=-12x+4y+4