Answer:
(-6,1) (2,7)
Step-by-step explanation:
y =x+5
y = x^2 +5x-7
Set the two equations equal since y=y
x+5 = x^2 +5x -7
Subtract x from each side
x-x+5 = x^2 +5x-x -7
5 = x^2 +4x -7
Subtract 5 from each side
5-5 = x^2 +4x -7-5
0 = x^2 +4x-12
Now we can factor the right side
What 2 numbers multiply to -12 and add to +4
6*-2 =-12
6-2 =4
0 = (x+6) (x-2)
Using the zero product property
x+6=0 x-2=0
x=-6 x=2
We need to find y for each value of x
y = x+5 y = x+5
y = -6+5 y = 2+5
y =1 y = 7
Answer:
Yup, 27 is correct!
Step-by-step explanation:
5(7)-8
= 35 - 8
= 27
Given:
Height of the Statue of Liberty = 305 feet
Angle of elevation = 9 degrees
To find:
The between the tourist and the Statue of Liberty.
Solution:
Using the given information, draw a figure as shown below.
In a right triangle,
In the triangle ABC,
Therefore, the tourist is standing 1926 feet from the Statue of Liberty.
Answer:
Inequality to represent given data is y ≥ 5.
No, y = 4 is not a solution, since 4 is not a value that falls within the domain of the solutions for the inequality.
Step-by-step explanation:
Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to 6. The inequality is y = 4 a solution.
i) therefore y + 1 ≥ 6
ii) therefore y ≥ 5
iii) No, y = 4 is not a solution, since 4 is not a value that falls within the domain of the solutions for the inequality.
