Answer:C
Step-by-step explanation:The side lengths of the triangle is 4, 8 and 10. To check if the sides form a triangle, see if the following inequalities hold true:
4
+
8
?
>
10
4
+
10
?
>
8
10
+
8
?
>
4
12
✓
>
10
14
✓
>
8
18
✓
>
4
Answer: 17/24
Step-by-step explanation: Notice that 1/8 and 7/12 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 8 and 12 will be the least common multiple of 8 and 12 which is 24. To get a 24 in the denominator of 1/8, we multiply the numerator and the denominator by 3 which gives us 3/24. To get a 24 in the denominator of 7/12, we multiply the numerator and the denominator by 2 which gives us 14/24. Now we're adding like fractions.
3/24 + 14/24
To add like fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.
So here, if we add the numerators we have 3 + 14 which gives us 17. We put this over our original denominator which is 24. So we have 17/24.
So 1/8 + 7/12 is 17/24.
Answer:
y = - 3x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2y = 14 + 
x into this form
Divide all terms by 2
y = 7 + 
x ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 3, hence
y = - 3x + c ← is the partial equation of the perpendicular line
To find c substitute (- 2, 8) into the partial equation
8 = 6 + c ⇒ c = 8 - 6 = 2
y = - 3x + 2 ← equation of perpendicular line
Answer:
where is the cylinder
Step-by-step explanation:
