Point-slope form: y - y₁ = m(x - x₁)
(m is the slope, (x₁, y₁) is the point you are given that is on the line)
You know:
m = 5
(x₁, y₁) = (-2, -3) So substitute/plug it into the equation
y - y₁ = m(x - x₁)
y - (-3) = 5(x - (-2)) (two negative signs cancel each other out and become positive)
y + 3 = 5(x + 2) Your answer is A
Answer:
with proportional relationships, you can simply divide the y coordinate by the x coordinate to find the unit rate: In this case, if (5,4) lies on the line then you have 5 lbs of potatoes for 4 dollars or .80 cents for 1lb of potatoes. The point (10,8) represents 10 lbs of potatoes for 8 dollars. Here you can see that dividing 8 by 10 we once again get the unit rate of .80 cents per 1 lb of potatoes.
x = lbs of potatoes and y = price(4,3)....this means 4 lbs of potatoes cost $ 33/4 = 0.75 cents per lb <== 1 lb of potatoes cost 0.75(8,6)...this means that 8 lbs of potatoes cost $ 6
Hope this helps
-Agarvated Team
Answer:
90428160.3 ft³
Step-by-step explanation:
The question is on volume of a pyramid with a square base
The formulae for volume of a pyramid is V=( l×w×h)/3
where l is length of pyramid base, w is width of pyramid base and h is the height of the pyramid
The pyramid has a square base thus l=w= 751 feet
The height of the pyramid is h=481 feet
v= (751×751×481)/3
v=90428160.3 ft³
Answer:
Sorry my mistake, it is actually worded as "f(x) =(x+6)^2"
Explanation:
y
=
(
x
+
6
)
2
with
x
≥
−
6
, then
x
+
6
is positive, so
√
y
=
x
+
6
And
x
=
√
y
−
6
for
y
≥
0
So the inverse of
f
is
g
(
x
)
=
√
x
−
6
for
x
≥
0
Answer : The measure of ∠WRS is 25°.
Step-by-step explanation :
As we know that vertically opposite angles are always equal.
In the given figure,
∠VRT = ∠WRS = (5x)° (Vertically opposite angles)
And we know that the sum of all angle in a straight line is equal to 180°.
So,
∠TSR + ∠WRS = 180°
Given: ∠TSR = (25x + 30)°
∠TSR + ∠WRS = 180°
(25x + 30)° + (5x)° = 180°
30x + 30° = 180°
30x = 180° - 30°
30x = 150°
x = 5°
∠WRS = (5x)° = (5 × 5)° = 25°
Therefore, the measure of ∠WRS is 25°.
