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OLEGan [10]
3 years ago
6

An elevator is on the twentieth floor. It goes down 11 floors and then up 5 floors. What floor is the elevator now

Mathematics
1 answer:
Llana [10]3 years ago
6 0
To solve problems like this, we must simply break it down and read each part carefully. We can also set it up as a math problem to make it easier to visualize.

The elevator starts on the twentieth floor, so we will represent that with 20.

20

It goes down 11 floors, so we can represent that with a -11.

20-11=9

Now we are on floor 9. Then, we go up 5 floors, so we can represent that with a 5.

9+5=14

Using the math above, we can see the elevator is on the 14th floor.
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Find equations of both the tangent lines to the ellipse x^2 + 4y^2 = 36 that pass through the point (12, 3).y = (smaller slope)y
Bingel [31]

Answer:

x+y=15

Step-by-step explanation:

Given equation of x^2+4y^2=36

Differentiating both side 2x+8y\frac{dy}{dx}=0

\frac{dy}{dx}=\frac{-x}{4y}

It passes through the point (12,3) so

\frac{dy}{dx}=\frac{-12}{4\times 3}=1

So equation of tangent passing through (12,3) is

y-12=-1(x-3) as y-y_1=-m(x-x_1)

So x+y =15 will be the equation of tangent which passes though the point (12,3)

5 0
3 years ago
The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 2.
maksim [4K]
The last description actually clarifies the given equation. The equation should be written as: f(x) = 2ˣ +1. The x should be in the exponent's place. 

The average rate of change, in other words, is the slope of the curve at certain points. In equation, the slope is equal to Δy/Δx. It means that the slope is the change in the y coordinates over the change in the x coordinate. So, we know the denominator to be: 2-0 = 2. To determine the numerator, we substitute x=0 and x=2 to the original equation to obtain their respective y-coordinate pairs.

f(0)= 2⁰+1 = 2
f(2) = 2² + 1 = 5

So, the slope is equal to:

Average rate of change = (5 - 2)/(2 - 0)
Average rate of change = 3/2 or 1.5
4 0
4 years ago
Read 2 more answers
Find the surface area. Round to the nearest tenth.
Anton [14]

Answer:

66.4 in^2

Step-by-step explanation:

Surface area is defined as the area around the surface of a 3-dimensional solid. The shape we are given here is a triangular prism with a square base. This means it contains one square and 4 triangles on the surface. To find the surface area, we just need to find the areas of all 5 surface shapes and add them up. We have been given that the square has a side length of 4 inches, meaning the area is 4^2 or 16. The area of a triangle is (1/2)base*height. The base length is 4 inches and the height is 6.3, and (1/2)*4*6.3 is 12.6. Note that, since there are four triangles, we have to multiply this value by 4 (12.6*4 = 50.4). Now we have the area of the square and the area of all the triangles put together, so we can just add them up:

16 + 50.4 = 66.4

8 0
2 years ago
If tan A = 4/3 and sin B = 45/53 and angles A and B are in Quadrant I, find the value of tan(A+B)
lbvjy [14]

Answer:

First, find tan A and tan B.

cosA=35 --> sin2A=1−925=1625 --> cosA=±45

cosA=45 because A is in Quadrant I

tanA=sinAcosA=(45)(53)=43.

sinB=513 --> cos2B=1−25169=144169 --> sinB=±1213.

sinB=1213 because B is in Quadrant I

tanB=sinBcosB=(513)(1312)=512

Apply the trig identity:

tan(A−B)=tanA−tanB1−tanA.tanB

tanA−tanB=43−512=1112

(1−tanA.tanB)=1−2036=1636=49

tan(A−B)=(1112)(94)=3316

kamina op bolte

✌ ✌ ✌ ✌

3 0
2 years ago
What is the answer to x+2y=2 and<br> 3x+4y=-4
statuscvo [17]

Answer:

x = − 8  and  y = 5  or (-8, 5)

Step-by-step explanation:

4 0
3 years ago
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