Answer:
x=3+2×sqrt(3)
x=3-2×sqrt(3)
Step-by-step explanation:
2(x-3)²-24=0
2(x-3)²=24
(x-3)²=12
Case 1:
x-3=sqrt(12)=2×sqrt(3)
x=3+2×sqrt(3)
Case 2:
x-3=-sqrt(12)=-2×sqrt(3)
x=3-2×sqrt(3)
Answer:
32
Step-by-step explanation:
Multiply both sides by 8.
y/8 = 4
y/8 × 8 = 4 × 8
y = 32
Answer:
First option and Fourth option.
Step-by-step explanation:
To solve this exercise you need to use the following Trigonometric Identity:
In this case you know that:
Since triangle ABC is similar to triangle DEF:
Let's begin with the triangle ABC.
You can identify that:
Then, substituing values, you get:
In triangle DEF, you know that:
So, substituing values, you get:
Answer:
zero slope
y-intercept at y = -4
Step-by-step explanation:
-4y = 16 (divide both sides by -4)
y = 16 / (-4)
y = -4
y = -4 represents a horizontal line that is parallel to the x-axis that crosses the y-axis at y = -4
hence the slope of a horizontal line is zero, and the y-intercept is -4
y = -0.65 (6) + 7.34
y = 3.44
but the dot plot showed when x = 6, y = 4
so 4 - 3.44 = 0.56
Answer
0.56
