Answer:
x = 8
y = 6
Step-by-step explanation:
First and foremost, it's an equilateral triangle, therefore all sides and angles are equal.
Knowing that the sum of angle in a triangle is 180°, therefore each angle is 60°.
Then equating (7x+4)° to 60, we have that,
7x+4=60
7x=60-4
7x=56
x=56÷7
x=8.
Answer:
Step-by-step explanation:
Given the function :
y=x³ - 3x² - 9x + 2. The largest and smallest values of the function at interval [-2, 4]
We substitute x values in the interval (-2 to 4) into the equation and solve for y
At x = - 2
y = (-2)³ - 3(-2)² - 9(-2) + 2 = 0
At x = - 1
y = (-1)³ - 3(-1)² - 9(-1) + 2 = 7
At x = 0
y = (-0)³ - 3(-0)² - 9(-0) + 2 = 2
At x = 1
y = (1)³ - 3(1)² - 9(1) + 2 = - 9
At x = 2
y = (2)³ - 3(2)² - 9(2) + 2 = - 20
At x = 3
y = (3)³ - 3(3)² - 9(3) + 2 = - 25
At x = 4
y = (4)³ - 3(4)² - 9(4) + 2 = - 18
Function is greatest at
Using translation concepts, it is found that the coordinates of the image of point B is given by: (0, –2).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the rule is given by:
(x,y) -> (x + 5, y - 2).
Hence, the image of point B, given by B', is:
(-5,0) -> (-5 + 5, 0 - 2) -> (0,-2).
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ1
12. V is not needed, and just substitute the letters with the numbers the correspond to.
Answer:
2x² - 2x + 7
Step-by-step explanation:
Given
(8x² + 9) - (6x² + 2x + 2) ← distribute by - 1
= 8x² + 9 - 6x² - 2x - 2 ← collect like terms
= (8x² - 6x²) - 2x + (9 - 2)
= 2x² - 2x + 7
