Answer:
y = 5x - 7
Step-by-step explanation:
Using the equation of a line with two points
y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1
Giving two points
( -4 , 10)(16 , -2)
x_1 = -4
y_1 = 10
x_2 = 16
y_2 = -2
Using the above formula
y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1
-12 - 3 / -1 - 2 = y - 3 / x - 2
-15/-3 = y - 3 /x - 2
Cross multiply
-15(x - 2) = -3(y - 3)
-15x + 30 = -3y + 9
-15x + 30 + 3y - 9 = 0
-15x +30 - 9 + 3y = 0
-15x + 21 + 3y = 0
3y = 15x - 21 ( following y = mx + C
Dividing through by 3 to find y
3y/3 = 15x -21 / 3
y = 15x - 21 / 3
We can still separate
y = 15x / 3 - 21/3
y = 5x - 7
Therefore, the equation of the line is
y = 5x - 7
9514 1404 393
Explanation:
1. The general form of a quadratic in standard form* is ...
An example is ...
The constant c is the y-intercept, so is the easiest bit of information to obtain in this form.
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2. The general form of a quadratic in vertex form can be written as ...
An example is ...
The ordered pair (h, k) is the vertex of the parabola, so is easy to obtain in this form. Arguably, it may be easier to identify the line of symmetry, x=h, since that requires looking at only one constant, instead of two.
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* In the UK, "standard form" is vertex form.
Answer:
n<1.3
Step-by-step explanation:
-2.5n+8.7>5.45
add -8.7 on both sides
-2.5n>-3.25
divide both sides by -2.5
n<1.3 (after division inequality sign changes)
answer of Q2 is -4 2/3
answer of Q3 is -2/9
answer of Q4 is -23/3
answer of Q5 is 2^2. 3^2.5
Answer:
Step-by-step explanation:
Sum of 3 angles of triangle= 180
147 + 4x + x = 180
147 +5x = 180
5x = 180 - 147
5x = 33
x = 33/5
x = 6•6 (Answer)
That would be 6 divided by 8 so the answer is 0.75 hope that helped!!
