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:
y = -6 PLEASE GIVE BRAINLIEST
Step-by-step explanation:
-15 - 9y = 39
39 + 15 = 54
-9y =54
y = 54 ÷ -9 = -6
y = -6
Answer: Area of circular plate is 36.5 square inches
Step-by-step explanation:
The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Circumference of circular plate = 21.4 inches. Therefore
2 × 3.14 × r = 21.4
6.28r = 21.4
r = 21.4/6.28
r = 3.41 inches
The formula for determining the area of a circle is expressed as
Area = πr²
Area of circular plate = 3.14 × 3.41² = 36.5 square inches
Distributive property means that you have to multiply everything directly outside the parent hes to everything inside the parentheses. For this problem multiply 7 to the 9x and to the -9 like so:
7(9x) + 7(-9)
63x + (-63)
63x - 63
Look at image below if you are still confused
Hope this helped!
