Answer:
OPTION A: 2x + 3y = 5
Step-by-step explanation:
The product of slopes of two perpendicular lines is -1.
We rewrite the given equation as follows:
2y = 3x + 2
⇒ y = 
The general equation of the line is: y = mx + c, where 'm' is the slope of the line.
Here, m = 
.
Therefore, the slope of the line perpendicular to the line given = 
because 
.
To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:
y - y₁ = m(x - x₁)
The point is: (x₁, y₁) = (-2, 3)
Therefore, the equation is:
y - 3 = (x + 2) $
⇒ 3y - 9 = -2(x + 2)
⇒ 3y - 9 = -2x - 4
⇒ 2x + 3y = 5 is the required equation.
Answer:
960
Step-by-step explanation:
<u>Given:</u>
- Stan's cookie recipe makes 24 cookies.
- It needs exactly 384 sprinkles.
<u>To Find:</u>
- Number of sprinkles needed for 60 cookies
<h2><u>Solution:</u></h2>
<u>Find the number of sprinkles needed for 1 cookie:</u>
- 24 cookies = 384 sprinkles
- 1 cookie = 384 ÷ 24
- 1 cookie = 16 sprinkles
<u>Find the number of sprinkles needed for 60 cookies:</u>
- 1 cookie = 16 sprinkles
- 60 cookies = 16 x 60
- 60 cookies = 960 sprinkles
Answer: Stan will need 960 sprinkles for 60 cookies.
Answer:
Step-by-step explanation:
x+2/3x - 1/x-2 = x-3/3x
LCD is (3x)(x-2). so we multiply the whole equation by LCD
We multiply each term by LCD
Answer:
25 slugs
Step-by-step explanation:
If this is a physics-based problem, which it appears to be, then the formula for finding mass is
w = mg, where w is the weight, m is the mass, and g is acceleration due to gravity. We have our weight and our gravity, so
800 = m(32) so
m = 800/32 and
m = 25 slugs
This answer does not include significant digits. If it needed to, then your answer would be 30 slugs.
Answer:
.
Step-by-step explanation:
