First one i believe (6/7)
Answer:
Step-by-step explanation:
Here y = -x^2 + 36.
We can choose x values pretty much at random and then calculate the associated y values:
x y = -x^2 + 36
---- --------------------
0 36
2 -2^2 + 36 = 32
-2 -4 + 36 = 32
3 -9 + 36 = 27
You did not share the equation of the slanted line. Let's assume that the equation of this line is y = mx + b. The first two points in the table above are (0, 36) and (2, 32). We could find the equation of this line as follows:
Slope: as we move from (0, 36) to (2, 32), x increases by 2 and y decreases by 4. Thus, the slope is m = rise / run = -4/2, or -2. Using info from the point (0, 36), we find the y-intercept of this straight line:
y = mx + b becomes 36 = m(0) + b, so b = 36, and the line is y = -2x + 36.
We need to find the points of intersection of y = -2x + 36 and y = -x^2 + 36. We can equate these equations to eliminate y: -2x + 36 = -x^2 + 36, or
-2x = -x^2. Equivalently, 2x - x^2 = 0, or (x)(2 - x) = 0. Then x = 0 and x = 2.
This says that the line and the parabola intersect in at least two places:
(0, 36) and (2, 32).
The three sides of the triangles are 11 cm, 22cm, and 44cm.
<h3>What is the perimeter of a triangle?</h3>
The perimeter of the triangle can be calculated by the sum of all the three sides of the triangle.
A triangle has a perimeter of 77 cm.
Let the side of the triangle be x, y, and the base z.
One side of the triangle is double the base.
x = 2z
The other side is quadruple the base.
y = 4z
The perimeter
X + y + z = 77
or
2z + 4z + z = 77
7z = 77
z = 11
So, the length of base z is 11 cm.
The other sides as
x = 22
y = 44
Therefore,The three sides of the triangles are 11 cm, 22cm, and 44cm.
Learn more about triangle here;
brainly.com/question/15107373
#SPJ1
Answer:
R = - 0.9453
T = - 5.019
Pvalue = 0.212
Step-by-step explanation:
Given the data:
Lemon_Imports_(x)
230
264
359
482
531
Crash_Fatality_Rate_(y):
15.8
15.6
15.5
15.3
14.9
The Correlation Coefficient, R using a correlation Coefficient calculator is - 0.9453 ; this depicts a strong negative correlation between the dependent and independent variable.
The test statistic, T :
T = r / √(1 - r²) / (n - 2)
T = -0.9453/ √(1 - (-0.9453)²) / (5 - 2)
T = - 0.9453 / 0.1883329
T = - 5.019
The Pvalue using a Pearson Pvalue calculator ;
df = n - 1 = 5 - 2 = 3 ; r = - 0.9453
Pvalue = 0.212
Hello There!
-3 1 4 9 13.
+4 +4 +4 +4
As you can see above, to get from one number to the next it is simply adding 4. So the formula is simply just x + 4.
Hope This Helps You!
<span>Good Luck :) </span>
<span>- Hannah ❤</span>
