Answer:
Let x represent the smaller number and y represent the larger number
<u>For the first equation </u>
Four times a number added to 3 times a larger number is 31 is written as
4x + 3y = 31
Making y the subject we have
3y = - 4x + 31
Divide both sides by 3
That's
<u>For the second equation</u>
Seven subtracted from the larger number is equal to twice the smaller number is written as
y - 7 = 2x
Making y the subject
We have
<h3>y = 2x + 7</h3>
Hope this helps you
Answer:
A. 1.5 cm by 2.5 cm
B. 27 cm by 45 cm
C. 9 cm by 15 cm
D. 30 cm by 50 cm
Step-by-step explanation:
The dimensions of the original painting = 12 cm by 20 cm painting
Hence, the proportion is:
12/20 = 0.6
Hence, we compare the options given in the question.
A. 1.5 cm by 2.5 cm
= 1.5/2.5 = 0.6 , option A is correct
B. 27 cm by 45 cm
27cm/45 cm = 0.6 Option B is correct
C. 9 cm by 15 cm
9cm/15cm = 0.6 , Option C is correct
D. 30 cm by 50 cm
30 cm /50 cm = 0.6 Option D is correct
E. 6 cm by 14 cm
6cm/14 cm = 0.4285714286
Option E is not correct
Therefore, Options A to D are the correct options
Answer:
Four unique planes
Step-by-step explanation:
Given that the points are non co-planar, triangular planes can be formed by the joining of three points
The points will therefore appear to be at the corners of a triangular pyramid or tetrahedron such that together the four points will form a three dimensional figure bounded by triangular planes
The number of triangular planes that can therefore be formed is given by the combination of four objects taking three at a time as follows;
₄C₃ = 4!/(3!×(4-3)! = 4
Which gives four possible unique planes.