If it intersects the x axis, then y = 0. This is not possible, as you can plug in x to be 1/100000000000000000000000000000000000, or something very tiny, but it will never get 0. So, A is not a choice.

This also means B is not a choice.

If C is a choice, then it does not intercept the y axis, or x cannot be 0. This is not true, because (0, 1) is on the graph.

Finally, we have D. It intercepts the y axis (we have proven this in C). So, this is the only answer choice that is correct.

7 0

2 years ago

4 Solve the system to find the y-value of the

ser-zykov [4K]

Answer: B

Step-by-step explanation:

7(-2) - 4(1) = -18

-14 - 4 = -18

-18 = -18

TRUE

(-2) + 12(1) = 10

-2 + 12 = 10

10 = 10

TRUE

3 0

2 years ago

line v has an equation of y=10/9x +1. Line w includes the point (-3,3) and is perpendicular to line v. What is the equation of l

NARA [144]

Answer:

y = -9/10x + 3/10 or y = 3/10(1 - 3x)

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of line w is -9/10

Using (-3,3) >> y = -9/10x + b

3 = -9/10(-3) + b

3 = 27/10 + b

b = 3 - 27/10 = 30/10 - 27/10 = 3/10

y = -9/10x + 3/10 or y = 3/10(1 - 3x)

3 0

2 years ago

the diameter of a cylinder is 14cm.the height of the cylinder is 9cm. calculate the Volume and curved surface area

kicyunya [14]

Answer:

The volume is 1386 cm³ and curved surface area is 396 cm².

Step-by-step explanation:

Given that,

The diameter of a cylinder is 14 cm

Height of the cylinder is 9 cm

We need to find the volume and curved surface area .

If r is the radius, r = 14/2 = 7 cm

Volume of a cylinder is given by :

$V=\pi r^2 h\\\\V=\dfrac{22}{7}\times (7)^2 \times 9\\\\V=1386\ \text{cm}^3$

The curved surface area of the cylinder is given by :

$A=2\pi r h\\\\A=2\times \dfrac{22}{7}\times 7\times 9\\\\A=396\ \text{cm}^2$

So, the volume is 1386 cm³ and curved surface area is 396 cm².

3 0

2 years ago