The slope is 2 units down for 9 units over, so is -2/9. The y-intercept is 4.
In slope-intercept form the equation of the line is
y = (-2/9)x +4
The surface area and volume of the real brick will be 983.2 cm²and 1738.11 cm³ respectively.
<h3>What is volume?</h3>
The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The scale factor is ;
r = 630 cm /23
r = 27
L = 23 cm
b = 310 / 27 = 11.48 cm
h = 180/27 = 6.6 cm
The surface area of the brick;
A = 2(lb+bh+hl)
A = 2( 23 ×11.48+11.48×6.6+6.6×23)
A= 983.2 cm²
The volume of the brick is;
V= lbh
V=23 × 11.45 ×6.6
V=1738.11 cm³
Hence the surface area and volume of the real brick will be 983.2 cm² and 1738.11 cm³ respectively.
To learn more about the volume, refer to brainly.com/question/1578538
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Answer:
i would say ot would be the 2 one
Using linear function concepts, the y-intercept of AB is of 11.2.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points of a line, the slope is given by <u>change in y divided by change in x,</u> hence, for A(8,0) and B(3,7):
m = (7 - 0)/(3 - 8) = -7/5 = -1.4.
Then:
y = -1.4x + b.
When x = 8, y = 0, hence we use it to find the y-intercept b as follows:
0 = -1.4(8) + b
b = 11.2.
The y-intercept is of 11.2.
More can be learned about linear function concepts at brainly.com/question/24808124
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We will use the following formula:
![P(A\cup B)=P(A)+P(B)-P(A\cap B).](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3DP%28A%29%2BP%28B%29-P%28A%5Ccap%20B%29.)
First, we compute the probability that we get a blue marble:
![P(\text{Blue)}=\frac{6}{5+6}=\frac{6}{11}\text{.}](https://tex.z-dn.net/?f=P%28%5Ctext%7BBlue%29%7D%3D%5Cfrac%7B6%7D%7B5%2B6%7D%3D%5Cfrac%7B6%7D%7B11%7D%5Ctext%7B.%7D)
Now, we compute the probability of getting an odd-numbered marble:
![P(\text{odd-num)}=\frac{6}{11}\text{.}](https://tex.z-dn.net/?f=P%28%5Ctext%7Bodd-num%29%7D%3D%5Cfrac%7B6%7D%7B11%7D%5Ctext%7B.%7D)
Finally, the probability that we draw a blue and odd-numbered marble is:
![P(\text{blue and odd)=}\frac{3}{11}.](https://tex.z-dn.net/?f=P%28%5Ctext%7Bblue%20and%20odd%29%3D%7D%5Cfrac%7B3%7D%7B11%7D.)
Answer: The probability that the marble is blue or odd-numbered is: