1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
White raven [17]
2 years ago
5

Slope review NEED HELP ASAP

Mathematics
2 answers:
Alenkinab [10]2 years ago
6 0

Answer:

1. x-inter= 2

2. y-inter= -6

Step-by-step explanation:

Musya8 [376]2 years ago
3 0

Answer:

(0, -6) is the y-intercept, (2, 0) is the x-intercept

<u>Skill(s) needed: Standard Form Evaluation</u>

Step-by-step explanation:

1) We are using standard form in this problem here, where you have Ax+By=C

2) Now, regarding the y-intercept, the y-intercept is when the line intersects with the y-axis, so when x=0.

----> (0,y_1)

3) In this scenario, we can plug in 0 for x, and solve for y to get the y-intercept. Let's see it below:

---> 27x-9y=54

--->  27(0)-9y=54

---> 0-9y=54

---> -9y=54

---> y=-6

Above, y=-6, so the y-intercept is (0, -6) (Note: This coordinate point is verbally defined as: When x equals zero, y equals negative six)

-------------------------------------------------------------------------------------------------------------- The x-intercept works the same way, it is the intersection with the x-axis, and is when y=0.

Plugging it in:

27x-9(0)=54 \\ 27x=54 \\ x=2

x equals two, when y =0, so (2,0) is the x-intercept

You might be interested in
Please help! 10 points
Natali [406]

Answer:

2ddksdfkladfkjkafadfasf

3 0
2 years ago
What is 3.06 rounded to the nearest whole number
Gnom [1K]
3.06 rounded to the nearest whole number is 3.
.06 is much closer to 0 than it is to 1, so round down.
3.06 rounded down is 3, so that is your answer.
4 0
3 years ago
What is all of the surface area and volume of this Castle? Find the surface area and volume of all the figures below, then out o
motikmotik

Answer:

Step-by-step explanation:

There are a few formulas that are useful for this:

  • lateral area of a pyramid or cone: LA = 1/2·Ph, where P is the perimeter and h is the slant height
  • lateral area of a cylinder: LA = π·dh, where d is the diameter and h is the height
  • area of a rectangle: A = lw, where l is the length and w is the width
  • volume of a cone or pyramid: V = 1/3·Bh, where B is the area of the base and h is the height
  • volume of a cylinder or prism: V = Bh, where B is the area of the base and h is the height

You will notice that for lateral area purposes, a pyramid or cone is equivalent to a prism or cylinder of height equal to half the slant height. And for volume purposes, the volume of a pyramid or cone is equal to the volume of a prism or cylinder with the same base area and 1/3 the height.

Since the measurements are given in cm, we will use cm for linear dimensions, cm^2 for area, and cm^3 for volume.

___

The heights of the cones at the top of the towers can be found from the Pythagorean theorem.

  (slant height)^2 = (height)^2 + (radius)^2

  height = √((slant height)^2 - (radius)^2) = √(10^2 -5^2) = √75 = 5√3

The heights of the pyramids can be found the same way.

  height = √(13^2 -2^2) = √165

___

<u>Area</u>

The total area of the castle will be ...

  total castle area = castle lateral area + castle base area

These pieces of the total area are made up of sums of their own:

  castle lateral area = cone lateral area + pyramid lateral area + cylinder lateral area + cutout prism lateral area

and ...

  castle base area = cylinder base area + cutout prism base area

So, the pieces of area we need to find are ...

  • cone lateral area (2 identical cones)
  • pyramid lateral area (2 identical pyramids)
  • cylinder lateral area (3 cylinders, of which 2 are the same)
  • cutout prism lateral area
  • cylinder base area (3 cylinders of which 2 are the same)
  • cutout prism base area

Here we go ...

Based on the above discussion, we can add 1/2 the slant height of the cone to the height of the cylinder and figure the lateral area of both at once:

  area of one cone and cylinder = π·10·(18 +10/2) = 230π

  area of cylinder with no cone = top area + lateral area = π·1^2 +π·2·16 = 33π

  area of one pyramid = 4·4·(13/2) = 52

The cutout prism outside face area is equivalent to the product of its base perimeter and its height, less the area of the rectangular cutouts at the top of the front and back, plus the area of the inside faces (both vertical and horizontal).

  outside face area = 2((23+4)·11 -3·(23-8)) = 2(297 -45) = 504

  inside face area = (3 +(23-8) +3)·4 = 84

So the lateral area of the castle is ...

  castle lateral area = 2(230π + 52) +33π + 504 + 84 = 493π +692

  ≈ 2240.805 . . . . cm^2

The castle base area is the area of the 23×4 rectangle plus the areas of the three cylinder bases:

  cylinder base area = 2(π·5^2) + π·1^2 = 51π

  prism base area = 23·4 = 92

  castle base area = 51π + 92 ≈ 252.221 . . . . cm^2

Total castle area = (2240.805 +252.221) cm^2 ≈ 2493.0 cm^2

___

<u>Volume</u>

The total castle volume will be ...

  total castle volume = castle cylinder volume + castle cone volume + castle pyramid volume + cutout prism volume

As we discussed above, we can combine the cone and cylinder volumes by using 1/3 the height of the cone.

  volume of one castle cylinder and cone = π(5^2)(18 + (5√3)/3)

  = 450π +125π/√3 ≈ 1640.442 . . . . cm^3

 volume of flat-top cylinder = π·1^2·16 = 16π ≈ 50.265 . . . . cm^3

The volume of one pyramid is ...

  (1/2)4^2·√165 = 8√165 ≈ 102.762 . . . . cm^3

The volume of the entire (non-cut-out) castle prism is the product of its base area and height:

  non-cutout prism volume = (23·4)·11 = 1012 . . . . cm^3

The volume of the cutout is similarly the product of its dimensions:

  cutout volume = (23 -8)·4·3 = 180 . . . . cm^3

so, the volume of the cutout prism is ...

  cutout prism volume = non-cutout prism volume - cutout volume

  = 1012 -180 = 832 . . . .  cm^3

Then the total castle volume is ...

  total castle volume = 2·(volume of one cylinder and cone) + (volume of flat-top cylinder) +2·(volume of one pyramid) +(cutout prism volume)

  = 2(1640.442) + 50.265 +2(102.762) +832 ≈ 4368.7 . . . . cm^3

4 0
3 years ago
Arrange these readers from fastest to slowest Abel read 50 pages in 45 minutes Brian read 90 pages in 75 minutes and Charlie rea
lys-0071 [83]

Answer:

charlie,brian,abel

Step-by-step explanation:

7 0
3 years ago
Jason has $90 to spend. He wants to purchase a bag for $30, one eraser for $10, and three pencils. Each of the pencils costs the
snow_tiger [21]
90 = 30+10+3x

This equation shows that all the prices of the the bag, eraser, and pencils equals $90. So now all we have to do to find the price of a pencil is solve the equation.

First add the 30 and 10 together.

90 = 40+3x

Then subtract 40 from each side

50 = 3x

Lastly divide each side by 3

x = 16.67

The price per pencil is $16.67

Hope this helps!
4 0
3 years ago
Read 2 more answers
Other questions:
  • How is a relationship determined when looking at a scatterplot
    6·2 answers
  • Solve the equation using the method of completing the square. 2x^2 + 16 - 8 = 0
    10·2 answers
  • Solve for r s=2 πrh <br> a. s/2= r <br> b. 2 πsh=r <br> c. s/2 π= r <br> d. s/2 πh= r
    9·1 answer
  • The dimensions of the rectangular pool shown below are 40 yards by 20
    9·1 answer
  • A buoy floating in the ocean is bobbing in simple harmonic motion with period 3 seconds and amplitude 13in. Its displacement d f
    10·1 answer
  • What is 3m+5-5m+14m=-13
    5·1 answer
  • If a finance professional recommends that you save 10% of your income each month and Julie spends 30% on rent and 40% on all oth
    9·1 answer
  • The distance between (0,-4) and (2,-5)​
    14·1 answer
  • What is the solution for this system x+y=6 2x+4y=20
    13·1 answer
  • Can you guys give me the steps for this plus the answer?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!