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3 years ago

What’s the vertical and horizontal line?

Mathematics

1 answer:

coldgirl [10]3 years ago

5 0

Answer:

Part 1) Vertical line : $x=1$

Part 2) Horizontal line : $y=-4$

Step-by-step explanation:

Part 1) Write the equation for the vertical line passing through the point (1,-4)

we know that

The equation of a vertical line (parallel to the y-axis) is equal to the x-coordinate of the point that passes through it

The x-coordinate is 1

therefore

The equation of the line is

$x=1$

Part 2) Write the equation for the horizontal line passing through the point (1,-4)

we know that

The equation of a horizontal line (parallel to the x-axis) is equal to the y-coordinate of the point that passes through it

The y-coordinate is -4

therefore

The equation of the line is

$y=-4$

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What i did wrong in this?

I am Lyosha [343]

i) the least positive coterminal angle can be found by subtracting 2pi from your original angle. We subtract 2pi because 11pi/3 is larger than 2pi.

So: 11pi/3 - 2pi = 11pi/3 - 6pi/3 = 5pi/3 or $\frac{5\pi}{3}$

ii) The reference angle is the smallest angle you can make with the x-axis. Since 5pi/3 is in Quadrant IV, the reference angle is found by:

2pi - 5pi/3 = 6pi/3 - 5pi/3 = pi/3 or $\frac{\pi}{3}$

iii) 5pi/3 or 300 degrees is found in Quadrant IV.

4 0

3 years ago

What is the surface area of the figure shown ?

AVprozaik [17]

A: 184

1.) find the area of the two sides (length*height)*2
5*8=40*2=80

2.) Find the area of the adjacent sides (Width*height)*2
5*4=20*2=40

3.) Find the area of the ends (length*width)*2
4*8 =32*2=64

4.) add the three areas together
40+80+64=184

6 0

3 years ago

Who can answer this<br> (WITH AN EXPLANATION)<br> will mark brainlest

stepan [7]

Answer:

Factors: (x²y+6)(y²-11)

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Step-by-step explanation:

Here's the original equation.

x²y³ - 11x²y + 6y² - 66

Let's separate it into two groups to make it easier.

(x²y³ - 11x²y) + (6y² - 66)

Let's take a look at (x²y³ - 11x²y) first. Do we notice anything that can be removed from the parentheses?

Yes, x²y can be taken from both polynomials to simplify the contents of the parentheses.

Both polynomials have x² and both have at least one y. Combine that to get x²y. That means that within the parentheses y² and - 11 will be left.

So (x²y³ - 11x²y) becomes x²y (y²-11)

This works because if we multiply x²y * (y² - 11) we get (x²y³ - 11x²)

Let's apply this same idea to (6y² - 66).

6 is the only thing in common between the two polynomials.

If we follow the same steps we get 6 (y²-11).

Notice how when we simplified both groups they each had something on the outside and (y² - 11) in the parentheses?

So lets combine the things that were on the outside of both (y² - 11).

What was on the outside of each? x²y was on the outside for the first one, and 6 for the outside of the second one.

This means that if we combine everything and simplify, the factors we have are (x²y+6)(y²-11).

If you want to confirm, work your way backwards using the distributive property. You'll find that when you multiply (x²y+6) * (y² -11) you'll get = x²y³ - 11x²y + 6y² - 66. That was the original equation, so we know that these are the factors.

Hope that helps!

8 0

3 years ago

Karla and Isamar are disagreeing over which way the graph of the function ????(x) = |x + 3| is translated relative to

____ [38]

Answer:

Isamar

Step-by-step explanation:

We are given that a function

$g(x)=\mid {x+3}\mid$ is a translation of the graph

$f(x)=\mid x \mid$

Karla believes that the graph of g is '' to the right '' of the graph of f.

Isamar believes that the graph of g is ''to the left'' of the graph f.

When we draw a graph then we can see that

The coordinates of vertex of f are (0,0).

The coordinates of vertex of g(x) are (-3,0).

When x shift 3 units towards left then we get g(x)

Therefore, Isamar is correct.

5 0

3 years ago

Elena’s backyard is in the shape of a rectangle. She created a triangular-shaped flower bed (shown as the shaded region) to plan

mixer [17]

Answer:

Area of background without flower bed = 575 feet²

Step-by-step explanation:

Given:

Length of rectangle ground = 35 feet

Width of rectangle ground = 20 feet

Height of triangle bed = 10 feet

Base of triangle bed = 25 feet

Find:

Area of background without flower bed

Computation;

Area of background without flower bed = Area of rectangle - Area of triangle

Area of background without flower bed = [l x b] - (1/2)(b)(h)

Area of background without flower bed = [35 x 20] - (1/2)(25)(10)

Area of background without flower bed = 700 - 125

Area of background without flower bed = 575 feet²

6 0

3 years ago

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