Answer:
8/5
Step-by-step explanation:
this is a slope formula which formats y=mx+b
m being the slope
and b being the y-intercept
so no need to look far, and no need to solve anything but 8/5 would be your y-intercept
:)) have a great day!
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
<h3>What is a circle?</h3>
It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.
x = 2y + 5 ...1
x² + y² = 5 ...2
If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.
Then from equations 1 and 2, we have
(2y + 5)² + y² = 5
4y² + 25 + 20y + y² - 5 = 0
5y² + 20y + 20 = 0
5y² + 10y + 10y + 20 = 0
5y (y + 2) + 10(y + 2) = 0
(5y + 10)(y + 2) = 0
y = -2, -2
Then the value of y is unique then the value of x will be unique.
The value of x will be
x = 2(-2) + 5
x = -4 + 5
x = 1
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
More about the circle link is given below.
brainly.com/question/11833983
#SPJ1
The intersection of plane ABC and plane CDH is <u>line DC</u>.
Complete question :
It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees. Let CCC denote the number of cars they build and MMM the number of motorbikes they build. Write an inequality that represents the condition based on the number of employees. Write an inequality that represents the condition based on the number of dollars.
Answer:
31C + 19M ≤ 706
7500C + 4300M > 84000
Step-by-step explanation:
C = number of cars built
M = number of motorcycles built
Cost of building a car :
Cost = 31 + $7500
Cost of building a motorcycle,:
Cost = 19 + 4300
To build, C cars :
Number of employees = 31C
7500 * C = 7500C
To build, M motorcycles :
Number of employees = 19M
4300 * M = 4300M
Genghis budget :
Amount > 84000
Number of employees ≤ 706
Hence, the constraints
31C + 19M ≤ 706
7500C + 4300M > 84000
Answer:
D
Step-by-step explanation:
Sorry, if I'm wrong.
