Answer:
[m] slope = <u>-2</u>
[b] y-intercept = <u>-1</u> ; (0, -1)
[y = mx + b] slope-intercept = -2x – 1
Step-by-step explanation:
Given the algebraic equation 6x + 3y = -3 currently in standard form:
Ax + By = C →
By = C – Ax →
By = -Ax + C →
y = -Ax / B + C / B →
y = (-A / B)x + (C / B) →
y = mx + b →
m = -A / B. b = C / B.
6x + 3y = -3
↓ ↓ ↓
A = 6. B = 3. C = -3.
[Substitute]
m = -A / B. b = C / B
m = -(6) / (3). b = (-3) / (3)
↓ ↓
m = -2. b = -1.
↓. ↓
Slope = -2. y-intercept = -1.
_______________________
Slope is ∆y/∆x [change in y over the change in x] = y2 – y1 / x2 – x1.
The y-intercept is the point where x is 0.
The easiest way to determine this is to substitute 0 in for x in an equation and solve for y.
This means that the y intercept in coordinate form is (0, b).
Given information
Length AB = 6m
Breadth BC = 4m
The area of PQRS is twice the area of ABCD
Firstly find the area of rectangle ABCD
Area of ABCD= Length × Breadth
Area of ABCD= 6 × 4
Area of ABCD = 24 m²
We know that the area of rectangle PQRS is twice the area of rectangle ABCD so we simply double the area of rectangle ABCD
24m² × 2 = 48m²
We need to find 2 numbers which when multiplied give 48 however the 2 numbers that are chosen must be the same amount greater that the lengths of ABCD and divisible by 2 because the path is uniform.
8 × 6 = 48
8 - 6 = 2
6 - 2 = 2
Therefore the length of PQ is 8m and the length of QR is 6m
Answer:
(1, 0 )
Step-by-step explanation:
A translation of 5 units left means subtract 5 from the x- coordinate
A translation of 1 unit down means subtract 1 from the y- coordinate, thus
(6, 1 ) → (6 - 5, 1 - 1 ) → (1, 0 )
Answer:
B 21.2
Step-by-step explanation:
Im not sure at all tho. But I hope this helps :/
Answer:
Inequality that represents the amount paid by neighbors of Dani will be
x ≤ 8 + (4 + 16)
Step-by-step explanation:
Let the neighbors of Dani paid her to take care of their bird = $x
Danny spent on an afternoon snack = $4
She paid the amount for a new book = $16
Now the amount left with her is at least $8.
Therefore, inequality which represents the amount paid by her neighbor will be
x - 4 - 16 ≤ 8
x ≤ 8 + (4 + 16)