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2 years ago

Does x+y=1 have an x-intercept of (1,0) and y intercept of (0,1)?

Mathematics

1 answer:

aivan3 [116]2 years ago

4 0

Answer:

Yes

Step-by-step explanation:

To find the y intercept of this formula, you first need to convert it into slope intercept form.

x+y=1

y=-x+1

Here, the slope is negative 1 and the y intercept is (0,1). If you imagine the line with a slope of negative 1, it will indeed cross the x axis at (1,0). Hope this helps!

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chubhunter [2.5K]

Answer:

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2 years ago

Write a division problem with as the dividend and 3 as the divisor. Then, find the quotient.

Mekhanik [1.2K]

Step-by-step explanation:

The dividend is the number which is being divided and the divisor is what you divided by. An example is:

12 ÷ 3. The quotient is 4.

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2 years ago

Read 2 more answers

Kristin is 20 km behind a truck that is driving 90 km/h how long will it take her to catch up to the truck? how far will she go

malfutka [58]

Time taken for Kristin to catch up with the truck will be found using the formula
time=(distance)/(speed)
distance=20 km
speed=90 km/h
thus
time=20/90=2/9 hours

Answer: 2/9 hours

5 0

2 years ago

Suppose the diameter of a circle is 4 units. What is its circumference?

Murrr4er [49]

12.5663706144 or yes, 12.57

3 0

2 years ago

Question 1: The water level in a tank can be modeled by the function h(t)=4cos(+)+10, where t is the number of hours

Amanda [17]

Answer:

Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours

Question 2: Sin of the angle is -0.8

Step-by-step explanation:

Question 1: Here we have h(t) = 4·cos(t) + 10

The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = \frac{\mathrm{d} \left (4cos(t) + 10 \right )}{\mathrm{d} t} = 0$

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = - 4 \times sin(t) = 0$

∴ sin(t) = 0

t = 0, π, 2π

Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.

Question 2:

B = (3, -4)

Equation of circle = x² + y² = 25

Here we have

Distance moved along x coordinate = 3

Distance moved along y coordinate = -4

Therefore, we have;

$Tan \theta = \frac{Distance \ moved \ along \ y \ coordinate}{Distance \ moved \ along \ x \ coordinate} = \frac{-4}{3}$

$\therefore \theta = Tan^{-1}(\frac{-4}{3}) = -53.13^{\circ}$

Sinθ = sin(-53.13) = -0.799≈ -0.8.

5 0

2 years ago