Answer:
C
Step-by-step explanation:
The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is
d = √[(x2 - x1)² + (y2 - y1)²]
Here (x2, y2) = (2, 3) and (x1, y1) = (4, -3)
Plugging them gives us
d = √[(2 - 4)² + (3 - (-3))²]
d = √[(2 - 4)² + (3 + 3)²]
Answer:
7
Step-by-step explanation:
https://www.numerade.com/questions/reasoning-in-exercises-35-and-36-you-are-melting-a-rectangular-block-of-wax-to-make-candles-how-ma-2/
This link lets you access a video for the correct answer
Option E:
The value of m that makes the inequality true is 5.
Solution:
Given inequality is 3m + 10 < 30.
Let us first simplify the expression.
3m + 10 < 30
Subtract 10 from both side of the equation.
3m < 20 – – – – (1)
<u>To find the value of m that makes the inequality true:</u>
Option A: 20
Substitute m = 20 in (1),
⇒ 3(20) < 20
⇒ 60 < 20
It is not true because 60 is greater than 20.
Option B: 30
Substitute m = 30 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option C: 8
Substitute m = 8 in (1),
⇒ 3(8) < 20
⇒ 24 < 20
It is not true because 24 is greater than 20.
Option D: 10
Substitute m = 10 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option E: 5
Substitute m = 5 in (1),
⇒ 3(5) < 20
⇒ 15 < 20
It is true because 15 is less than 20.
Hence the value of m that makes the inequality true is 5.
Option E is the correct answer.
Answer:
1. slope is -1 and y intercept is 2
3. slope is -2 and y intercept is -4
2. slope is -4 and y intercept is 2
4. this is not a line - it is a parabola
Step-by-step explanation:
1. -4y = 4x -8
y = -x + 2
3. 4y = -8x -16
y = -2x - 4
2. y = -4x + 2
4. y - 14 = -3x^2 -16x
y = 3x^2 - 16x + 4
5 is the answer, you are welcome.