Answer:
Step-by-step explanation:
You have to use Point Slope Form:
- y - Y1 = m (x - X1)
- m is the slope
- Y1 & X1 is a point on the line
- The form allows you to identify the slope & the point on the line
About Problem:
- Since -2/3 is the slope, it represents m in y - Y1 = m (x - X1) form.
- -3 represents X1 in y - Y1 = m (x - X1) form
- -1 represents Y1 in y - Y1 = m (x - X1) form
y - Y1 = m (x - X1)
y - -1 = -2/3 (x - -3) ---- This is in Point Slope Form
If you want to solve it, & put it in Slope Intercept form, it would look like this:
y = mx + b
y = -2/3 - 2 --- This is in Slope intercept Form.... I might've solved it wrong... I'm not sure...
Really really sorry if I'm incorrect...
Answer:
12, 15, 24
Step-by-step explanation:
Let 1st # = x
Let 2nd # = x+3
Let 3rd # = 2x
Your equation is: x + (x+3) + 2x = 51
Add up all the x: x + x +3 +2x =51
Subtract 3 from both sides: 4x + 3 - 3 = 51 - 3
Divide 4 from both sides: 4x / 4 = 48 / 4
Your 1st number is x = 12
For the 2nd # it is 3 more than x so 12 + 3 = 15
For the 3rd # it is 2 times x so 2(12) = 24
Check your answers by adding up the numbers you solved: 12 + 15 +24 = 51
Does it equal to 51 as stated in the question? Yes, answers check out.
6 feet * 7 feet = 42 feet²
18 feet * 21 feet = 378 feet²
42 feet² was painted for $52
1 feet² will be painted for $52/42
378 feet² will then be painted for: ($52/42) * 378
= $468
Hence 18 feet by 21 feet will be painted for $468
Hope this helps.
Answer:
Step-by-step explanation:
Parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
Explanation:
Parabola is locus of a point which moves so that its distance from a given point calld focus and a given line ccalled directrix is always constant.
Let the point be
(
x
,
y
)
. Here focus is
(
7
,
5
)
and distance from focus is
√
(
x
−
7
)
2
+
(
y
−
5
)
2
. Its distance from directrix
y
=
−
3
i.e.
y
+
3
=
0
is
|
y
+
3
|
.
Hence equaion of parabola is
(
x
−
7
)
2
+
(
y
−
5
)
2
)
=
|
y
+
3
|
2
or
x
2
−
14
x
+
49
+
y
2
−
10
y
+
25
=
y
2
+
6
y
+
9
or
x
2
−
14
x
+
65
=
16
y
i.e.
y
=
1
16
(
x
2
−
14
x
+
49
−
49
)
+
65
16
or
y
=
1
16
(
x
−
7
)
2
+
65
−
49
16
or
y
=
1
16
(
x
−
7
)
2
+
1
Hence parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
graph{(1/16(x-7)^2+1-y)((x-7)^2+(y-1)^2-0.15)((x-7)^2+(y-5)^2-0.15)(y+3)=0 [-12.08, 27.92, -7.36, 12.64]}
