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
IceJOKER [234]
3 years ago
13

Put the following equation of a line into slope-intercept form, simplifying all

Mathematics
1 answer:
anzhelika [568]3 years ago
3 0
Answer:

y = x + 7

Step-by-step explanation:

3y - 3x = 21

3y/3 - 3x/3 = 21/3

y = x + 7
You might be interested in
The diagram shows 3 identical circles inside a rectangle.
Ilya [14]

Answer:

11700 mm²

Step-by-step explanation:

A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.

The horizontal distance of the rectangle = r + r + r + r = 4r

The vertical distance = r + h + r = 2r + h

Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.

Using Pythagoras:

 (2r)² = h² + r²

h² + r² = 4r²

h² = 3r²

h = √3r²

h = r√3

Vertical distance = 2r + h = 2r + r√3

Area of rectangle = vertical distance * horizontal distance

Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)

Substituting:

Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²

Area = 11700 mm² to 3 s.f

5 0
2 years ago
Given: r is inversely proportional to s. If r = 16 when s = 3, then write the formula for the relation between r and s.
riadik2000 [5.3K]

Answer:

B

Step-by-step explanation:

Given that r is inversely proportional to s then the equation relating them is

r = \frac{k}{s} ← k is the constant of proportion

To find k use the condition r = 16 when s = 3

k = rs = 16 × 3 = 48

r = \frac{48}{s} ← equation of variation → B

3 0
3 years ago
Which real value of m makes the expression undefined<br><br> M^8+1/4m^2
Soloha48 [4]

Answer:

m = 0

Step-by-step explanation:

The denominator of the rational expression cannot be zero as this would make the rational expression undefined. Equating the denominator to zero and solving gives the value that m cannot be.

4m² = 0 ⇒ m² = 0 ⇒ m = 0 ← excluded value

5 0
3 years ago
What is the surface area using integrals of these two lines. Y=10-x^2 and Y=x^2+2 from the bounds x=2 and x=-2.
Lelu [443]

Check the picture below.

\bf \displaystyle\int\limits_{-2}^{2}~[\stackrel{\textit{above function}}{(10-x^2)}~~-~~\stackrel{\textit{below function}}{(x^2+2)}]dx\implies \int\limits_{-2}^{2}~(10-x^2-x^2-2)dx \\\\\\ \displaystyle\int\limits_{-2}^{2}~(8-2x^2)dx\implies \left. 8x\cfrac{}{} \right]_{-2}^{2}-\left. \cfrac{2x^3}{3} \right]_{-2}^{2} \\\\\\ ([16]-[-16])~~-~~\left( \left[ \cfrac{16}{3} \right]-\left[ -\cfrac{16}{3} \right]\right)\implies (32)~~-~~\left( \cfrac{32}{3} \right) \\\\\\ \cfrac{64}{3}\implies 21\frac{1}{3}

5 0
3 years ago
Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure.
babymother [125]
<h3>Answer: Choice B</h3>

Reflection along y axis

Translation: (x,y) \to (x,y-3)  which means we shift 3 units down

===========================================================

Explanation:

Let's track point A to see how it could move to point A'.

If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.

The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation (x,y) \to (x,y-3)

Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively.  Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.

7 0
3 years ago
Other questions:
  • A dog's weight increased by 50% in 3 years. By the end of 3 years, the dog weighed 45 pounds. How much did the dog weigh 3 years
    8·2 answers
  • What is the same of the data? <br> skewed right<br> skewed left<br> symmetrical<br> not enough info
    6·1 answer
  • What is the measure of DEF?
    12·1 answer
  • 1. Flight 202's arrival time is normally distributed with a mean arrival time of 4:30
    11·1 answer
  • 2. Water is leaking from a faucet at a constant rate of gallon per minute.
    9·1 answer
  • Find the equation of a line parallel to y=6 that passes through (4,3)
    12·1 answer
  • The rectangular field has a perimeter of 98 meters. The width of the perimeter is three times as much as five times the length.
    15·1 answer
  • VXYZ is a rectangle with a length of 20cm and a width of 12 cm. The length of the rectangle is increased by 30%. The width of th
    9·1 answer
  • X² + 5y + 5x + <br><img src="https://tex.z-dn.net/?f=x%20%7B%7D%5E%7B2%7D%20%20%2B%205y%20%2B%205x%20%2B%20xy" id="TexFormula1"
    7·1 answer
  • If 0.15% of budget is spent on office supplies, what decimal should you multiply budget
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!