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2 years ago

A line with a slope of 5 passes through the point (1,8). What is its equation in

Mathematics

1 answer:

Eduardwww [97]2 years ago

6 0

Answer:

Step-by-step explanation:

In point-slope form, our equation would be y - 9 = 2(x - 1). Expanding, we get y - 9 = 2x - 2. Solving for y, we obtain the form of the equation as shown in the problem: y = 2x + 7.

So, the numbers that would go in the blanks would be 2 and 7, respectively.

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What is the area of a triangle that has a base of 15 yards and a height of 11 yards?

Evgen [1.6K]

A = hb/2
A = (15)(11) / 2
A = 165/2
A = 82.5 <===

6 0

3 years ago

What is a nativist ? Help please

11111nata11111 [884]

Answer:

Nativism is the political policy of promoting the interests of native inhabitants against those of immigrants, including the support of immigration-restriction measures

Step-by-step explanation:

Hope this helps.

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7 0

3 years ago

Read 2 more answers

My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y

ikadub [295]

Answer:

y(0) = 0.25 feet

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

Step-by-step explanation:

We are given the following information in the question:

The displacement from equilibrium of an oscillating weight suspended by a spring =

$y(t) = \displaystyle\frac{1}{4} \cos(5t)$

where y is the displacement in feet and t is the time in seconds.

Here, cos is in radians.

1) t = 0

$y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}$

y(0) = 0.25 feet

2) t = $\frac{1}{4}$

$y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059$

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

3) t = $\frac{1}{2}$

$y(\displaystyle\frac{1}{2}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{2})) = \frac{1}{4} \cos(2.5) = \frac{1}{4}(-0.80114362) = -0.200285905$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

The negative sign indicates the opposite direction of displacement.

3 0

3 years ago

What is the y intercept, and what does it represent?

motikmotik

In the linear equation y = mx + b, y-intercept represents the value of y. It is the point where the line crosses the y-axis(vertical axis)

Finding the y-intercept is done by looking at which point in the graph crosses the y-axis. This point will always have an x-coordinate of zero(0).

4 0

3 years ago

The second hand of an analog clock completes an entire rotation in 60 seconds, and the length of the seconds hand is 8 inches. a

g100num [7]

Circumcerence = distance travelled in one full rotation = 2 x π x 8 = 16π

for 2 minutes and 15 seconds,
multiply 16π by 2.25 as 2 minutes is twice the distance of one rotation and 15 seconds is a quarter more

therefore answer is 36π = 113.1 inches

3 0

3 years ago