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
andrezito [222]
3 years ago
11

HELPPPP PLEASE: calculate the equation for line passes (-9,36) (21,56)

Mathematics
1 answer:
STALIN [3.7K]3 years ago
8 0
If you subtract -9-21 and 36-56
You might be interested in
How many numbers are there between 1 and 4?
Alisiya [41]

Answer:

there are 2 numbers between 1 and 4

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find the dimensions of the box, a
Karolina [17]
Let h = height of the box,
x = side length of the base.

Volume of the box is  V=x^{2} h = 115. 
So h = \frac{115}{ x^{2} }

Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
S = 2( x^{2}  + hx + hx)  \\ = 2 x^{2}  + 4hx  \\  = 2 x^{2}  + 4( \frac{115}{ x^{2} } )x
= 2 x^{2} + \frac{460}{x}
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.

S' = 4x- \frac{460}{ x^{2} }  = 0
4x = \frac{460}{ x^{2} }  \\  4x^{3} = 460  \\ x^{3} = 115  \\ x =  \sqrt[3]{115} = 4.86
Then h=  \frac{115}{4.86^{2}} = 4.87
So the box is 4.86 in. wide and 4.87 in. high. 

5 0
3 years ago
Read 2 more answers
If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra
bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be l units.

Using pythagoras theorem, we can find out the value of l.

As per theorem:

Hypotenuse^{2} = Base^{2} + Height^{2}\\

\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 =  100\\\Rightarrow l = 10\ units

Lateral surface area of square prism = 4 \times Area of triangular surface

\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units

Surface Area of 5 surfaces of the square prism =

4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0
3 years ago
The area of the triangle below is 15 square centimeters. What is the length of the
fgiga [73]

Answer:

5/8

Step-by-step explanation:

Area for a triangle

A=1/2bh

15/32=3/4h

5/8 = h

6 0
2 years ago
Plz help!
OLga [1]

Answer:

a) 3x²-4x-15

b) binomial

5 0
2 years ago
Other questions:
  • What are good ways to study math?
    11·2 answers
  • Frank wants to build a garden with the dimensions below.
    6·2 answers
  • I need it right now please help me!
    15·2 answers
  • If w = the weight of a trout, which algebraic expression represents the phrase below? twice the weight of the trout
    5·1 answer
  • Plz help.. I asked this question on English, but no one answered.
    12·1 answer
  • A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
    11·1 answer
  • A floor lamp costs $21 less than a $99 painting. How much does the floor lamp cost?
    12·2 answers
  • Graph the solution of the system of linear inequalities.<br> y≤−4x−4<br> y≥x+2
    10·1 answer
  • James and Tyson are buds. The sum of their ages is 97. The difference of their ages is 19. Find their ages.
    7·1 answer
  • A certain bacterium splits itself into 2 identical cells in 1 day. Each of those new cells is capable of splitting itself into 2
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!