Area of a triangle = 1/2 x base x height
using the given information: area = 40 and base = 20
you now have 40 = 1/2 x 20 x height
divide both sides by 1/2
80 = 20 x height
divide both sides by 20
height = 80 / 20
height = 4 in.
First, change the mixed fraction into improper fraction. Change the whole number into a fraction, and add.
1 8/11 = 11/11 + 8/11 = 19/11
To find the reciprocal, flip the fraction.
The reciprocal of 19/11 is 11/19
hope this helps
Step-by-step explanation:
Answer:
y = –7x – 11
6x – 4y = 10
Step-by-step explanation:
From the question given above, we obtained:
x = –1
y = –4
y = ?x – 11 ....... (1)
6x – ?y = 10b......... (2)
Let the two unknown be a and b. Thus the above equation becomes:
y = ax – 11 ......... (3)
6x – by = 10 .......(4)
Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:
For a:
y = ax – 11
x = –1
y = –4
–4 = a(–1) – 11
–4 = –a – 11
Collect like terms
–4 + 11 = –a
7 = –a
Multiply through by –1
a = –7
For b:
6x – by = 10
x = –1
y = –4
6(–1) – b(–4) = 10
–6 + 4b = 10
Collect like terms
4b = 10 + 6
4b = 16
Divide both side by 4
b = 16 / 4
b = 4
Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.
y = ax – 11
a = –7
y = –7x – 11
6x – by = 10
b = 4
6x – 4y = 10
Therefore, the complete equation are:
y = –7x – 11
6x – 4y = 10
<span>|-21| > 19 I believe! I hope this helps! & have a great day!!!!</span>
