Answer:
1
Step-by-step explanation:2 and 6 are the first ones in each set so 6-2 is 4.4 and 1 are the second ones in each set 1-4 is -3 4+-3 is 1.
Complete Question:
If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how you arrive at your answer.
1. y = 3x + b
2. y = mx + 9
Answer:
1. Intercept, b = -1
2. Slope, m = -2
Step-by-step explanation:
Given the following data;
Points on the line (x, y) = (2, 5)
To find the missing values;
Mathematically, the equation of a straight line is given by the formula;
y = mx + b
Where;
- m is the slope.
- x and y are the points
- b is the intercept.
1. y = 3x + b
Substituting the value of x and y, we have;
5 = 3(2) + b
5 = 6 + b
b = 5 - 6
<em>Intercept, b = -1</em>
2. y = mx + 9
Substituting the value of x and y, we have;
5 = m(2) + 9
5 = 2m + 9
2m = 5 - 9
2m = -4
m = -4/2
<em>Slope, m = -2</em>
Answer:
radius = 7 units
Step-by-step explanation:
Given:
Radius = 7 units
Find area of 4 circles:
1 circle = π (7)² = 49π units²
4 circles = 49π x 4 = 196π units²
Find radius of sphere:
4πr² = 196π
r² = 49
r = 7
Answer:
26 miles.
Step-by-step explanation:
To solve this problem, the Pythagorean theorem must be applied, which states that the hypotenuse squared of every right triangle is equal to the sum of its squared legs, that is, A^2 + B^2 = C^2 .
Therefore, applying this formula, to determine the distance in a straight line from the starting point to the driving end point, the following calculation must be performed:
24^2 + 10^2 = X^2
576 + 100 = X^2
√676 = X
26 = X
Thus, the distance between the two points is 26 miles.
