Answer:
A.-3/7
Step-by-step explanation:
the slope formula is
m = (y2 - y1) / (x2-x1)
The point (4, 2) is (x1, y1) and the point (-3, 5) is (x2, y2). Now you have to substitute in the slope formula:
m = (5 - 2) / (-3 - 4)
m = 3 / -7
m = -3/7
For an equation to be proportional, it must have no y intercept, and it must have a slope. So,
<span>y=4x+4 This equation isn't proportional because it has a y-intercept (+4)
y=4x+2 </span>This equation isn't proportional because it has a y-intercept (+2)
y=4x This equation is proportional because it has no y-intercept, and a slope.
Approximate <em>R'</em> by using a linear approximation: for <em>x</em> close enough to 24, you have
<em>R'(x)</em> ≈ <em>L(x)</em> = <em>R' </em>(20) + <em>R''</em> (20) (<em>x</em> - 20)
Then
<em>R'</em> (24) ≈ <em>R'</em> (20) + <em>R''</em> (20) (24 - 20) = -4 + 50 (24 - 20) = 196
Answer:
460
Step-by-step explanation:
The number of cubes with edge length ⅕ inch that will fit in the prism is: 1,920 cubes
<h3>Volume of a Rectangular Prism</h3>
Volume of a rectangular prism = length × width × height
<h3>Volume of a Cube</h3>
A cube has equal edge length. Therefore, the volume of a cube = a³, where a is the edge length.
Given the following,
Dimensions of Priya's Rectangular Prism:
2⅖ = 2.4 inches
3⅕ = 3.2 inches
2 inches
Volume of the Rectangular Prism = 2.4 × 3.2 × 2 = 15.36 in.³
Dimension of the cubes:
edge length = ⅕ inch
Volume of the cube = (⅕)³ = 0.008 in.³
The number of ⅕ inch edge cube that will fit in the prism = Volume of Prism / Volume of Cube
= 15.36/0.008 = <em>1,920 cubes </em>
Learn more about Volume of Prism on:
brainly.com/question/9761614
