Answer:
y = 3x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , thus
y = 3x + c ← is the partial equation
To find c substitute (1, - 2) into the partial equation
- 2 = 3 + c ⇒ c = - 2 - 3 = - 5
y = 3x - 5 ← equation of line
Answer:
4.5
Step-by-step explanation:
First, get # of ounces in total:
24*3= 72
Then multiply: (0.0625 equals 1 ounce in pounds)
72* 0.0625= 4.5
Hope this helps!
Answer:
6 fingers
Step-by-step explanation:
Let X = the base of the numbers above
If X > 0
Then we have:
325 = 3 * X² + 2 * X¹ + 5 * X°
325 = 3X² + 2X + 5
42 = 4*X¹ + 2*X°
42 = 4X+ 2
And
411 = 4*X²+ 1*X¹ 1*X°
42 = 4X² + X + 1
Since 325 + 42= 11 then
3X² + 2X + 5 + 4X+ 2 = 4X² + X + 1 ------ Collect Like Terms
3X² - 4X² + 2X + 4X - X + 5 + 2 - 1 = 0
-X² + 5X + 6 = 0 ------- Multiply both sides by -1
X² - 5X - 6 = 0 ------- Factorise the Equation
X² - 6X + X - 6 = 0
X(X - 6) + 1( X - 6) = 0
(X + 1)(X - 6) = 0
X + 1 = 0 or X - 6 = 0
X = -1 or X = 6
But X>0
So, X =-1 is invalid
X = 6
The expected number of fingers of the Martian is 6
Answer:
26cm
Step-by-step explanation: we want a triangle with shorter sides (smaller perimeter) and we got 2 similar triangles , since triangles are similar the corresponding sides would be in ratio.
To get triangle of shorter perimeter we have to use the longest side of
△
A
B
C
put 6cm side corresponding to 12cm side.
Let
△
A
B
C
~
△
D
E
F
6cm side corresponding to 12 cm side .
therefore,
A
B
D
E
=
B
C
E
F
=
C
A
F
D
=
1
2
So the perimeter of ABC is half of the perimeter of DEF .
perimeter of DEF =
2
×
(
3
+
4
+
6
)
=
2
×
13
=
26
c
m
answer 26 cm.
