Answer:
A (-1,-6)
Step-by-step explanation:
A system of equations is a set of two or more equations which intersect at a point (x,y). This is the solution. Any system can be solved using graphing, elimination or substitution. To solve this system of equations, use elimination. Line up each variable and subtract the like terms.
2x - 3y = 16
5x - 3y = 13
---------------------
-3x = 3
x = -1
Substitute x = -1
2(-1) - 3y = 16
-2 - 3y = 16
-3y = 18
y = -6
Answer:
68°
Step-by-step explanation:
ABD is a right angle and the measure of it is 90°
m<CBD + m<ABC = m<ABD
4x + 52° + 8x - 10 = 90° add like terms
12x + 42° = 90°
12x = 48°
x = 4
m<CBD is 4x + 52° replace x with 4
4×4 + 52 = 68°
Answer:
Divide both sides by 3
∣x−1∣≥12/3
Simplify 12/3 to 4
∣x−1∣≥4
Break down problem into 2 equations
x−1≥4
(x−1)≥4
Then solve...
ANSWERS:
x≥5
x≤-3
Answer:
y = - x + 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 )
To calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (- 2, 7)
m =
=
= - 1, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (4, 1), then
1 = - 4 + c ⇒ c = 1 + 4 = 5
y = - x + 5 ← equation of line
Answer:
She can cut 24 ribbon from this long strip.
Step-by-step explanation:
Given that,
Bella needs identical strips of ribbon measuring 3.5 feet each.
She has 85 feet of ribbon.
3.5 feet is length of 1 ribbon.
1 feet is length of
ribbon
85 feet is length of
ribbon
≈24.28

7) 170(24
14
_______
30
28
______
2
So, she can cut 24 ribbon from this long strip.