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arsen [322]
3 years ago
9

Which equation does the graph below represent? ​

Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0

Answer: y=2x

Step-by-step explanation: I'm 99% sure I'm right.

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Is the expression 5y-10 equivalent to 5(y-2
KonstantinChe [14]

Answer:

Yes, they are equivalent.

Step-by-step explanation:

They are equivalent, to see this, simplify the expression.

Distribute into the parenthesis.

5(y)- 5(2)

Then simplify into...

5y-10

This is equivalent to 5y-10

<h2>5y-10 = 5(y-2)</h2>
4 0
4 years ago
If the infinite curve y = e−6x, x ≥ 0, is rotated about the x-axis, find the area of the resulting surface.
Ber [7]
The area:
A = 2  \pi  \lim_{b\to \infty} ( \int\limits^\infty_0 {e ^{-6x} } \, dx)
Substitution: u = - 6 x
du = - 6 dx
dx = -1/6 du
∫ -1/6 e^(u) du = - 1/6 e^(u) = - 1/6 e^(-6x)
A = -1/6 * 2 \pi   \lim_{b \to \infty}  (\int\limits^\infty_0 \, e ^{-6b} db) = \\ =- \pi /3 * ( e ^{-\infty} -e ^{0}) =  \\ = - \pi /3 * ( - 1 ) =
=  π / 3

4 0
3 years ago
Write an equation for a circle if the endpoints of a diameter are at (–7, 1) and (5, 1).
yulyashka [42]
The diameter is 12 units long. Their equation could be seen in y = 1, because it is a horizontal line. From x = - 7 to x = 0 is 7 units. From x = 0 to x = 5, is 5 units. 5 + 7 = 12. This means the radius is 6. We will use this later. If you need another way to find the radius, let me know. I can just use distance formula. 

We will use these endpoints to find the center. 

Midpoint = ( \frac{X1+X2}{2} ,  \frac{Y1+Y2}{2} )
= ( \frac{- 7 + 5}{2} ,  \frac{1 + 1}{2} )
= ( \frac{-2}{2} ,  \frac{2}{2} )
= (- 1, 1)

This is the center. 

The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center. 

Plug in our given information now.

(x + 1)² + (y - 1)² = 6²

(x + 1)² + (y - 1)² = 36 is your equation. 
3 0
4 years ago
Nina has prepared the following two-column proof below. She is given that ∠OLN ≅ ∠LNO and she is trying to prove that OL ≅ ON. S
Anit [1.1K]
Step number 3 should really be step number 7, it should be placed after step 4, 5, and 6. The reason is because we won't know that ∠LEO ≅ ∠NEO until after we learn that LE ≅ EN. Because of this, step 3 is in the wrong spot (mistake number one). The secod mistake is that step 7, triangle OLE ≅ triangle ONE is congruent by Angle-Side-Angle (ASA) Postulate, not Side-Angle-Side (SAS) Postulate. It is congruent by ASA because we know that both triangles have equal angles N and L. We also know that the perpendicular bisector creates a 90° angle. So m∠LEO = 90° and ∠NEO = 90°. Therefore, we already have 2 congruent angles in both of the triangles. We also learn that line LE ≅ EN based on the definition of a perpendicular bisector, so we have know one that one side of each triangle is congruent. It is ASA and not AAS, because the ASA Postulate states that two angles and one included side of one triangle are congruent to two angles and one included side of another triangle.
7 0
4 years ago
A turtle can walk 1/12 of a kilometer in an hour the turtle is 1/5 of a kilometer away from a pond
34kurt

Answer:

2\frac{2}{5}\ h

Step-by-step explanation:

we know that

A turtle can walk 1/12 of a kilometer in an hour

so

by proportion

Find how long will it take the turtle to reach the pond (1/5 km)

\frac{1}{(1/12)}\frac{h}{km}=\frac{x}{(1/5)}\frac{h}{km} \\ \\x=\frac{(1/5)}{(1/12)} \\ \\x=\frac{12}{5}\ h

Convert to mixed number

\frac{12}{5}\ h=\frac{10}{5}+\frac{2}{5}=2\frac{2}{5}\ h

5 0
3 years ago
Read 2 more answers
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