The equation of the given line above is y=3x-1. The slope of the line is 3/1 (3x) and the y-intercept which is where the line crosses the y-axis is (0,-1) When you plug these parameters into the equation you will get the equation y=3x-1
Well, the absolute value of a number would always be positive, which means the dots on the line is going to be on the right side of 0. In the choices, the only number line that qualifies is C.
firstly let's convert the mixed fraction to improper fraction, then hmmm let's see we have two denominators, 5 and 3, and their LCD will simply be 15, so we'll multiply both sides by that LCD to do away with the denominators, let's proceed,
![\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{z}{5}-4=\cfrac{7}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{z}{5}-4 \right)=15\left( \cfrac{7}{3} \right)}\implies 3z-60=35 \\\\\\ 3z=95\implies z=\cfrac{95}{3}\implies z = 31\frac{2}{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%203%2B1%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7Bz%7D%7B5%7D-4%3D%5Ccfrac%7B7%7D%7B3%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B15%7D%7D%7B15%5Cleft%28%20%5Ccfrac%7Bz%7D%7B5%7D-4%20%5Cright%29%3D15%5Cleft%28%20%5Ccfrac%7B7%7D%7B3%7D%20%5Cright%29%7D%5Cimplies%203z-60%3D35%20%5C%5C%5C%5C%5C%5C%203z%3D95%5Cimplies%20z%3D%5Ccfrac%7B95%7D%7B3%7D%5Cimplies%20z%20%3D%2031%5Cfrac%7B2%7D%7B3%7D)
Answer:
Step-by-step explanation:
The far right side of the triangle is 17 cm, which is the height.
The base would be 34 minus 17 because whole length of the rectangle is 34 and the triangle covers all but 17 of it.
So then you would take 1/2 of 17.
Then multiply it by 17 to get 160.5
Answer:
a) Perimeter = 20.5 Inches
Area is 15 Sq Inches
b) Perimeter is 61.4 Cms
Area is 210 Sq cm
c) Perimeter is 22 yards
Area is 21 Sq Yards
Step-by-step explanation:
a) Perimeter = sum of all the sides
= 8+7.5+5
=20.5
Perimeter = 20.5 Inches
Area of Triangle =
Base = 7.5 In
Height = 4 In



Hence Area is 15 Sq Inches
b) Perimeter = Sum of all the sides
P=13+23+13.4+12
P=61.4
Perimeter is 61.4 Cms
Area of trapezium = 



Area is 210 Sq cm
c) Perimeter = Sum of all the sides
P = 7+4+7+4 ( as Opposite sides are equal in a parallelogram
P = 22
Perimeter is 22 yards
Area of a parallelogram = 


Area is 21 Sq Yards