Answer:
x-intercept = 1/3, y-intercept = 1
Step-by-step explanation:
y = mx + b (general equation where m=gradient, b=constant)
-8 = 3m + b (from first pair of coordinates)
13 = -4m + b (from second pair of coordinates)
3m + b - (-4m + b) = -8 - 13
7m = -21
m = -3
Using one of the linear equations above:
-8 = 3(-3) + b
-8 = -9 + b
b = 1
Therefore, the linear equation is: y = -3x + 1
To find x-intercept:
Let y = 0
0 = -3x + 1
-1 = -3x
x = 1/3
To find y-intercept:
Let x = 0
y = -3(0) + 1
y = 1
Therefore the x-intercept = 1/3 and y-intercept = 1 for the line that passes through (3, -8) and (-4, 13)
Answer:
All figures in Group 1 appear to have at
least one square face
Step-by-step explanation:
Let us examine each statement and see whether they are true or not.
The first statement is not true. Only one of the figures (square pyramid) has at least one triangular face. It has 4 triangular faces, actually.
The second statement is not true. Only one of the figures is a rectangular prism. The remaining two are triangular pyramid and triangular prism respectively.
The third statement is not true also. Only 1 figure is a triangular prism.
The fourth statement is correct. In group 1, all the figures has at least one square face.
Answer:
Step-by-step explanation:
Given that in the general population in the US, identical twins occur at a rate of 30 per 1,000 live births. A survey records 10,000 births during Jan 2018 to Jan 2019 and found 400 twins in total.
From the above we find that population proportion is 0.03 and observed sample proportion is 0.04
So option a) is wrong
b) Correct
c) correct
d) Wrong
e) wrong
f) wrong
g) incomplete sentence
h) wrong
Answer: 2.5 or 2 1/2.
Step-by-step explanation:
