The correct question is
<span>What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3
</span>
we have that
point (1,-2)
slope m=1/3
so
y-y1=m*(x-x1)-----> y+2=(1/3)*(x-1)----> multiply by 3---> 3y+6=x-1
x-3y-1-6=0------> x-3y-7=0
the answer is
<span>x - 3y - 7 = 0</span>
Answer: x = 184°
Step-by-step explanation: As we can see in the figure below, angles 2 and 4 are <u>Vertical</u> <u>Angles</u>, i.e., they are angles opposite each other when two lines cross. Vertical angles are always congruent.
Then,
m∠2 = m∠4


Value of x is

x = 184
The value of x is 184°.
Answer:
a) 30 inches × 30 inches × 30 inches
b) 27,000 inches³
c) 14,130 inches³
d) 12,870 inches³
Step-by-step explanation:
Edge of the cube = diameter = 30 inches
Volume of cube = s³
30³ = 27000 inches³
Radius = 30/2 = 15
Volume of sphere:
(4/3) × 3.15 × 15³
14130 inches³
Difference:
27000 - 14130
12870 inches³
Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
Answer:
If he includes himself then:
Split up the cookies into 4 equal parts.

3.75 cookies each if he includes himself.
If he does not include himself:
Split up the cookies into 3 equal parts

5 cookies each if he shares to his friends without including himself.