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makvit [3.9K]
3 years ago
13

What is the answer to

Mathematics
1 answer:
gavmur [86]3 years ago
7 0

Answer:

y = 3/4x+7

Step-by-step explanation:

The slope is 3/4 and a point is (-8,1)

We can use point slope to make an equation for the line

y-y1 = m(x-x1)

y-1 = 3/4(x--8)

y-1 = 3/4(x+8)

y-1 = 3/4x +6

Add 1 to each side

y-1+1 = 3/4 x+6+1

y = 3/4x+7

This is in slope intercept form (y=mx+b)

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A motion sensor has a range of 65 meters as shown. The ultrasonic waves sweeping out from the sensor span an angle of 135°.
VMariaS [17]

The approximate area that is within range of the motion sensor is 4975 square meters

<h3>How to determine the area of the range?</h3>

The figure is not given, however the area of the range can be calculated without the figure.

The given parameters are:

Angle, ⊕ = 135°

Radius, r = 65 meters

The area of the range is calculated using the following sector area

A = \frac{\theta}{360} * \pi r^2

This gives

A = \frac{135}{360} * 3.14 *  65^2

Evaluate

A = 4974.9375

Approximate

A = 4975

Hence, the approximate area that is within range of the motion sensor is 4975 square meters

Read more about sector areas at:

brainly.com/question/16736105

#SPJ1

4 0
2 years ago
What is the coefficient of the variable in the expression 6-4x-8x+2
Daniel [21]

I think the trick is to add the two middle terms together.  (And the 2 end terms).

8 - 12x

The variable is x. The coefficient is - 12.

8 is a constant.

The coefficient always goes with a variable.

3x^2 + 2x + 5

Nothing can be combined.  The leading coefficient is 3 (which goes with the greatest power of the variable x^2 in this case) and the other coefficient is 2. 5 is a constant.  

6 0
3 years ago
Use two unit multipliers to convert 20 inches to miles
jarptica [38.1K]

Answer:

Step-by-step explanation:

I answered another one of your questions so I will not explain as much.  ther are 12 inches in a foot and then 5280 feet in a mile so that's 1 ft/ 12 in and 1 mi/ 5280 ft.  So  the math is 20 in * 1 ft/ 12 in * 1 mi/ 5280 ft = .000315 mi.  

In reference to the last one, do keep in mind "square" inches and whatnot mean you square things.  so 1 ft/ 12 in becomes 1 ft^2/ 144 in^2.  Just as a small heads up to what could be tricky.

6 0
3 years ago
What type of conic section is represented by the parametric equations below? X=3cos(t)-1 y=3sin(t)+4
Andrei [34K]

Answer:

Circle

Step-by-step explanation:

Examples of conic sections are the circle, the ellipse, the parabola and the hyperbola. Parametric equations are used to express the x and y variables in terms of a less complicated manner using a third variable (t or θ).

The parametric equation for a circle with an equation (x-h)^2+(y-k)^2=r^2 is given by:

x=rcos(t)+h, y=rsin(t)+k

where r is the radius of the circle and (h, k) is the center of the circle.

A conic section with a parametric equations X=3cos(t)-1, y=3sin(t)+4 is a circle with center at (-1, 4) and radius of 3. The equation of the circle is:

(x + 1)² + (y - 4)² = 3²

3 0
3 years ago
Maria played 6 songs on the guitar. If each song lasted 7 minutes, how long did she play?
Pepsi [2]

Answer:

she would be playing for 42 minutes

Step-by-step explanation:

times how many songs by how long it takes to play them --- 6 times 7= 42 min!

8 0
3 years ago
Read 2 more answers
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