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nalin [4]
2 years ago
13

Find the equation of the line Use exact numbers y=*blank*x+*blank*

Mathematics
1 answer:
Murljashka [212]2 years ago
6 0
You are looking for the slope and y intercept to complete the equation of the line.

The equation of a line is in something called slope intercept form. That looks like y = mx + b. m represents the slope (measure of how steep a line is, and in which direction it is going) and b represents the y intercept (y coordinate when x = 0). You need to find the slope and y intercept to complete the equation.

First, find the slope. The formula for slope is: m = (y2 - y1)/(x2 - x1) where m is the slope and (x1, y1) and (x2, y2) are points.

Pick any two points on the graph. I will use (-2, 0) and (0, 4). Now use these values to find the slope.

m = (4-0)/(0+2) = 4/2
m = 2

m = 2 means that for every two units the line goes up on the y axis, it moves one to the right on the x axis. 2 will go in your first box.

Now find the y intercept. The y intercept is where the line crosses the y axis - it is the y coordinate when x = 0. Here when x = 0, y = 4, so your y intercept is at 4. 4 goes into your second box.

The equation is y = 2x + 4

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What is the measure of < C
Zepler [3.9K]
Well in a right angle triangle, we know that angle C would be 90 degrees, we can check this by solving for X and seeing if the expression 2x will give us a value of 90 degrees.

So 2x = 90
X = 90/2
X = 45 degrees.

90 = 2x
90 = 2(45)
90 = 90.

Thus since the equation is true, X = 45 degrees, we can also solve for the remaining angles knowing what X is.
8 0
3 years ago
Darlene's room measures 12feet on ones side and 9 feet on another, help her calculate the area of her room. The area if a rectan
IrinaK [193]

Answer:

  108 ft²

Step-by-step explanation:

The product of length and width is ...

  (12 ft)(9 ft) = 12·9 ft·ft = 108 ft²

8 0
3 years ago
A random sample of 100 college students is taken from the student body of a large university Assume that, in fact, a population
mixas84 [53]

Answer:

b) equals 20 hours.

Step-by-step explanation:

The sampling distribution of means refers to the distribution of all the possible sample means, with a certain sample size (in this case, n=100) extracted from the population.

The sampling distribution of the means is equal to the population mean. That does not mean that every sample will result in a mean equal to the population, but that the population of sample means will have an average of 20 hours.

6 0
3 years ago
A police helicopter is flying at 150 mph at a constant altitude of 0.5 mile above a straight road. The pilot uses radar to deter
natali 33 [55]

Answer:

a) (see attached picture)

b) d, h, velocity of helicopter, dd/dt

in the direction oposite to the movement of the helicopter.

Step-by-step explanation:

In order to solve this problem we must start by drawing a diagram that will represent the situation (see attached picture). As you may see, there is a right triangle being formed by the helicopter, the car and the graound. We can use this to build the equation we are going to use to model the problem.

d^{2}=h^{2}+x^{2}

we can use this equation to find the value of x at that very time, so we can do that by solving the equation for x, so we get:

x=\sqrt{d^{2}-h^{2}}

and substitute the given values:

x=\sqrt{(1)^{2}-(0.5)^{2}}

which yields:

x=0.866mi

we know that the height of the helicopter is going to be constant, so we rewrite the equation as:

d^{2}=(0.5)^{2}+x^{2}

d^{2}=0.25+x^{2}

Next, we can go ahead and differentiate the equation so we get:

2d\frac{dd}{dt}=2x\frac{dx}{dt}

which can be simplified to:

d\frac{dd}{dt}=x\frac{dx}{dt}

we can next solve the equation for dx/dt so we get:

\frac{dx}{dt}=\frac{d}{x}*\frac{dd}{dt}

so we can now substitue te provided values so we get:

\frac{dx}{dt}=\frac{1}{0.866}*-190

so we get:

\frac{dx}{dt}=-219.40mph

the negative sign means that the x-value is decreasing.

now, this problem deals with relative velocities, so we get that:

Velocity of car about the helicopter = Velocity of the car - Velocity of the helicopter. Or:

V_{ch}=V_{c}-V_{h}

so we can solve this for the actual velocity of the car, so we get:

V_{c}=V_{ch}+V_{h}

so we get:

V_{c}=-219.40mph+150mph

which yields:

V_{c}=-69.4mph

So it has a velocity of 69.4mph in a direction oposite to the helicopter's movement.

4 0
3 years ago
A paint store sells exterior
LiRa [457]
The equation would be 35.75x+6y=190
5 0
3 years ago
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