We are given first equation y=
x+11.
Second equation is -3x + 7y = 13.
Part A: We need to convert that second equation in slope-intercept form y=mx+b.
In order to convert it in slope-intercept form, we need to isolate it for y.
-3x + 7y = 13
Adding 3x on both sides, we get
-3x+3x + 7y = 3x+13
7y = 3x +13.
Dividing both sides by 7, we get
7y/7 = 3x/7 +13/7.
<h3>y= 3/7 x + 13/7.</h3>
Slope for first equation y=3/7 x +11 is 3/7 and slope of second equation y= 3/7 x + 13/7 is also 3/7.
Slopes are same for both equations.
<h3>Part B: Therefore, lines are parallel due to equal slopes.</h3>
Answer:
C - Fancy Foodstuffs
Step-by-step explanation:
A = 6 eggs for £2.16
1 egg = £2.16 / 6 = £0.36
B = 8 eggs for £2.72
1 egg = £2.72 / 8 = £0.34
C = 12 eggs for £3.96
1 egg = £3.96 / 12 = £0.33
Answer:
34.6
Step-by-step explanation:
In this triangle we have an angle which is 38° and the side opposite to it which is 27 and we have to find the adjacent side
There is only one formula which have these two sides
tan
tan∅ = opposite ÷ adjacent
tan 38° = 27 ÷ x
x = 27 ÷ (tan 38°)
x = 34.56
x≈ 34.6
Answer:
-63
Step-by-step explanation:
Given the expression:
Using the law of indices, this can be written as:
This shows that the value of A is -63
1) 10, 20, 30, 35, 40, 41, 42 Her total value of Zoe's coins is 42 cents.
2) 25, 35, 45, 50, 55 His total value of Marc's coins is 55 cents.
