Answer: 9 / 70Explanation:Find attached the image with the grid that accompanies this question.
1) The
grid has area 7 × 10 units²
⇒
area = 70 units²2) The figure inside the grid is a
triangle with base 6 units and height 3 units.
⇒
area of the triangle = base × height / 2 = 6 units × 3 units / 2 =
9 units²3)
Probability = area of the triangle / area of the grid⇒ Probability = 9 units² / 70 units² =
9 /70
Answer:
The solution of the given system of equations is (-6.667,7.667).
Step-by-step explanation:
The given equations are
...(1)
....(2)
put x=0 to find the y-intercept.
Therefore y-intercept of equation (1) is (0,1).
Therefore y-intercept of equation (2) is (0,-19).
put y=0 to find the y-intercept.
Therefore x-intercept of equation (1) is (1,0).
put y=0 to find the y-intercept.
Therefore x-intercept of equation (1) is (-4.75,0).
Draw the graph of both lines by joining their x and y-intercept.
From the graph it is noticed that both the line intersect each other at (-6.667,7.667).
Therefore solution of the given system of equations is (-6.667,7.667).
Answer:
D is the answer
Step-by-step explanation:
As
12³+12³+8³+8³=40³
40³+√15=
40³√15
Hope it helps!
Divide the coefficient of
x
(not
x
2
) by 2, and then square that.
c
=
144
.
Explanation:
Divide the coefficient of
x
(not
x
2
) by 2, and then square that.
So for
x
2
−
24
x
, dividing
−
24
by
2
gets us
−
12
.
Squaring
−
12
gets us
144
,
So
c
=
144
.
In general:
Consider the factoring identity
(
x
−
a
)
2
=
x
2
−
2
a
x
+
a
2
If we only have the middle term,
−
2
a
x
, then dividing the middle term by
2
x
gets us
−
2
a
x
2
x
=
−
a
(If we only take the coefficient on
x
, we do not have to divide by
x
.)
Then if we square that, we get
(
−
a
)
2
=
a
2
So as you can see, taking the coefficient on
x
, dividing it by
2
, and then squaring it will get us the magic constant that lets us complete the square.