Answer:
k = -5
Step-by-step explanation:
y = -8x - 73 and x = -4
y = (-8) (-4) - 73 = - 41 : intersect at (-4 , - 41)
(-4 , - 41) must at y = 9x + k
-41 = 9*(-4) +k
k = -41 + 36 = -5
y = 9x - 5 x<-4
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-5,8)(10,-7)
d = sqrt (10 - (-5)^2 + (-7 - 8)^2
d = sqrt (10 + 5)^2 + (- 15^2)
d = sqrt (15^2) + (-15^2)
d = sqrt 225 + 225
d = sqrt 450
d = 21.21
Yes, solutions, roots, x-intercepts, and zeros are the same thing.
<h3>
What is a quadratic equation?</h3>
The general quadratic equation is given by:
a*x^2 + b*x + c = 0
So the solutions are the values of x such that the above thing is zero.
On another hand, a parabola or a quadratic function is given by:
a*x^2 + b*x + c = y
The roots, zeros, or x-intercepts (these represent the same thing) are given by:
a*x^2 + b*x + c = 0
- Zero or Root means that when you evaluate the function in that value the outcome is zero.
- X-intercept means that for that value of x, the function intercepts the x-axis, so the function is equal to zero.
So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.
Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.
If you want to learn more about quadratic functions, you can read:
brainly.com/question/1214333
Jason = J, Kim = K
K+325m = J
K = 4.2 km
convert km to m by multiplying by 1000
4.2km * 1000 = 4200m = K
so just plug in your values to get your answer : Jason ran 4525 meters
4200m + 325 = 4525m
Answer:
option D: 27.5 square units
Step-by-step explanation:
Divide the polygon in 6 figures
see the attached figure
Area of figure 1 (right triangle)
A1=(1/2)(3)(3)=4.5 units²
Area of figure 2 (rectangle)
A2=(1)(3)=3 units²
Area of figure 3 (rectangle)
A3=(1)(3)=3 units²
Area of figure 4 (right triangle)
A4=(1/2)(3)(3)=4.5 units²
Area of figure 5 (right triangle)
A5=(1/2)(4)(5)=10 units²
Area of figure 6 (right triangle)
A6=(1/2)(1)(5)=2.5 units²
The total area is equal to
At=A1+A2+A3+A4+A5+A6
At=4.5+3+3+4.5+10+2.5=27.5 units²
