Answer:
y = 3x - 14
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 )
y = 3x - 4 is in this form with slope m = 3
• Parallel lines have equal slopes, hence
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (4, - 2) into the partial equation
- 2 = 12 + c ⇒ c = - 2 - 12 = - 14
y = 3x - 14 ← equation of parallel line
Answer:
<em>x=60°</em>
<em>x=48°</em>
<em>x=21°</em>
Step-by-step explanation:
<u>Inequalities</u>
The sum of the exterior and the interior angle of a triangle is 180°.
The measure of an exterior angle of a triangle is called x, thus the interior angle is 180-x.
This angle is said to be at least twice x, thus:
180 - x ≥ 2x
Adding x:
180 ≥ 3x
Dividing by 3:
60 ≥ x
Swapping the inequality:
x ≤ 60°
The measure of x must be less or equal to 60°.
Three possible solutions are:
x=60°
x=48°
x=21°
Subtract 7, so the answer is x <= 3, or C.
Ok so if we call the width x then the length is 2x-7
Now by adding a 5 foot brick border around the edge the new dimensions are:
x+10 and 2x+3
Now we can form an equation to solve:
(x+10)(2x+3)=195
2x²+23x+30=195
2x²+23x-165=0
Now we can solve this for x
(2x+33)(x-5)=0
So x=-33/2 or x=5
As x cannot be less than 0 x must be equal to 5
So the dimensions of the garden are 5 feet by 3 feet
(45 - 32) / 9 x 2
13 / 9 x 2
13/9 x 2
13 x 2/9
thus, 26/9
or 2 8/9
or 2.8888888888
