Answer:
y=2/7x
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
y=2/7x+0
y=2/7x
Answer:
c. m∠1 + m∠6 = m∠4 + m∠6
Step-by-step explanation:
Given: The lines l and m are parallel lines.
The parallel lines cut two transverse lines. Here we can use the properties of transverse and find the incorrect statements.
a. m∠1 + m∠2 = m∠3 + m∠4
Here m∠1 and m∠2 are supplementary angles add upto 180 degrees.
m∠3 and m∠4 are supplementary angles add upto 180 degrees.
Therefore, the statement is true.
b. m∠1 + m∠5 = m∠3 + m∠4
m∠1 + m∠5 = 180 same side of the adjacent angles.
m∠3 + m∠4 = 180, supplementary angles add upto 180 degrees.
Therefore, the statement is true.
Now let's check c.
m∠1 + m∠6 = m∠4 + m∠6
We can cancel out m∠6, we get
m∠1 = m∠4 which is not true
Now let's check d.
m∠3 + m∠4 = m∠7 + m∠4
We can cancel out m∠4, we get
m∠3 = m∠7, alternative interior angles are equal.
It is true.
Therefore, answer is c. m∠1 + m∠6 = m∠4 + m∠6
You have the intercepts and x-coordinate of the vertex correct. There appears to be a math error in the calculation of the y-value of the vertex.
f(7/8) = (4*7/8 -7)*(7/8) -15 = -49/16 -15 = -289/16 = -18.0625
Answer:
T.S.A = 233.29 cm²
volume of the cone = 235.84 cm³
Step-by-step explanation:
Given;
diameter of the cone, d = 9 cm
radius of the cone, r = 4.5 cm
slant height of the cone, l = 12 cm
The total surface of the cone is calculated as;
T.S.A = πr² + πrl
T.S.A = πr(r + l)
T.S.A = 3.142 x 4.5(4.5 + 12)
T.S.A = 233.29 cm²
The volume of the cone is calculated as;

Where;
h is height of the cone
h² = 12² - 4.5²
h² = 123.75
h = √123.75
h = 11.12 cm
