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Nikitich [7]
3 years ago
11

Which lines are perpendicular to the line y - 1 = 1(x+2)? Check all that apply.

Mathematics
1 answer:
Drupady [299]3 years ago
7 0

Answer:

The general equation of the lines that are perpendicular is:

y=-x+b

b can by any number.

Step-by-step explanation:

The equation of a line is given by:

y=mx+a

where m is the slope and b is the intercept

The equation of a perpendicular line to the previuos one is:

y=- \frac{1}{m} x+b

That means that the slope of a perpendicular line is inverse and sign opposite to the other line.

Hence, the equation given is:

y - 1 = 1(x+2) \\ y=x+2+1 \\ y=x+3

m would be:

m=1

So the perpendicular slope would be:

- \frac{1}{m}=- \frac{1}{1} =-1

The general equation of the lines that are perpendicular to y=x+3 is:

y=-x+b

b can be any number

In attached picture:

y=x+3 is the red line

y=-x+b is the blue line

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What is the density of a 60-gram pyramid with rectangular base 5 cm x 7 cm and height 9 cm?
JulijaS [17]

Answer:

0.571428571429 grams per cm³

Step-by-step explanation:

density = mass/volume

Let’s calculate the volume V of the pyramid :

V = (1/3)×base×height

   = (1÷3)×(5×7)×9

   = 105 cm³

Then

The density = mass/volume

                    = 60÷105

                    = 0.571428571429

4 0
2 years ago
What is the value of y?<br><br><br><br> Enter your answer in the box.<br><br> y =
Olenka [21]

Answer:

y=40\°

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal angles

The two equal angles are called the base angles and the third angle is called the vertex angle

In this problem the triangle ABC is an isosceles  triangle

so

AB=AC

5x=40\°

x=8\°

The sum of the internal angles of a triangle is equal to 180\°

so

Find the value of y

(2y+20)\°+2(40\°)=180\°

2y=180\°-20\°-80\°

2y=80\°

y=40\°

6 0
4 years ago
Read 2 more answers
Please help me how to figure this out I’m trying to figure out the area ASAP please
Natasha2012 [34]

Answer:

1230.88m^{2}

Step-by-step explanation:

Shown is one-fourth of a circle. Also, according to the picture, the radius is 28 meters.

The area for a whole circle is 2\pi r^{2}.

Using that information, we can find the area as if the circle was whole instead of just the fourth.

2(\pi)(28m)^2 = 2(3.14)(784m^{2} ) = 4923.52m^{2}

Now that we know the area of the whole circle, we just have to divide it by four to find the area of the fourth of the circle.

4923.52m^{2}  / 4 = 1230.88m^{2}

That means that the area of the shape shown is 1230.88m^{2}.

I hope this helps!

4 0
3 years ago
Please help ASAP thank u!! :))
frozen [14]

Answer:

Use your brain

Step-by-step explanation:

6 0
3 years ago
DRAW AN AREA MODEL WITH THIS EQUATION PEOPLE LITERALLY JUST SOLVE THE MULTIPICATION ​
Iteru [2.4K]

Answer:

You need four squares.

On the top left square, you put the number 20 over it, and the number 30 to its left. Put the number 600 in the square.

Next, the bottom left square. But the number 4 on the left side of the square, and put the number 80 in the square.

Now, the top right box. put the number 8 over it, and fill it with the number 240.

Last, fill the bottom right square with the number 32.

7 0
3 years ago
Read 2 more answers
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