Answer: slope
=
−
1
3
y-intercept
=
2
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
rearrange
x
+
3
y
=
6
into this form
subtract x from both sides
x
−
x
+
3
y
=
6
−
x
⇒
3
y
=
−
x
+
6
divide all terms by 3
⇒
y
=
−
1
3
x
+
2
←
in slope-intercept form
⇒
slope
=
−
1
3
and y-intercept
=
2
graph{-1/3x+2 [-10, 10, -5, 5]}
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
X=Y
/2+ 5/2
Answer:
90degrees
Step-by-step explanation:
To get the measure of angle C, we will use the cosine rule as shown;
AB² = AC²+ BC² - 2(AC)(BC)cos C
85² = 13²+ 84² - 2(13)(84)cos C
7225 = 169 + 7056 - 2184cosC
7225 - 7225 = -2184cosC
0 = -2184cosC
cosC = -0/2184
cosC = 0
C = arccos0
C = 90degrees
Hence the measure of angle C is 90degrees
Y=5-7x 5 is your Y-intercept then go down 5 and to the right 1
Answer: (A)
.
Step-by-step explanation:
From the given table , the dimension of the container for the 90cookies = 11 inch x 6 inch x 3 inch
Then, the volume of the container would be ![11\times6\times3= 198 \ in^3](https://tex.z-dn.net/?f=11%5Ctimes6%5Ctimes3%3D%20198%20%5C%20in%5E3)
Then, the ratio of cubic inches per cookie would be
![=\dfrac{\text{Volume of container}}{\text{Number of cookies in it}}\\\\=\dfrac{198}{90}\\\\=2.2\text{ in}^3/\text{cookie}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5Ctext%7BVolume%20of%20container%7D%7D%7B%5Ctext%7BNumber%20of%20cookies%20in%20it%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B198%7D%7B90%7D%5C%5C%5C%5C%3D2.2%5Ctext%7B%20in%7D%5E3%2F%5Ctext%7Bcookie%7D)
So, the the ratio of cubic inches per cookie would be
.
Hence, the correct option is (A)
.