All categories

4 years ago

What is the equation of the line perpendicular to 2x+5y=202x+5y=20 and containing the point (10,−4)(10,−4)?

1 answer:

6 0

2x + 5y = 20
5y = -2x + 20
y = -2/5x + 4. The slope here is -2/5. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal of -2/5, we flip the slope and change the sign. So our perpendicular line will have a slope of 5/2.

y = mx + b
slope(m) = 5/2
(10,-4)....x = 10 and y = -4
now we sub and find b, the y int
-4 = 5/2(10) + b
-4 = 25 + b
-4 - 25 = b
-29 = b

so our perpendicular equation is : y = 5/2x - 29 <==

You might be interested in

If the side of a square is 3/4 feet, what is the area of the square

yuradex [85]

$\text{Area of square}=~ \text{Side}^2\\\\~~~~~~~~~~~~~~~~~~~~~=\left(\dfrac 34 \right)^2\\\\~~~~~~~~~~~~~~~~~~~~~=\dfrac{9}{16}~ \text{ft}^2$

6 0

3 years ago

Read 2 more answers

Ms.Lopez has created a floor plan of a dollhouse. The area of the entire dollhouse is 576 square inches

harina [27]

Answer:

(a)Area of the bedroom=96 square inches

(b)Area of the living room =144 square inches

(c)Area of the dollhouse that is not of the bedroom or living room =336 square inches.

Step-by-step explanation:

The area of the bedroom is 1/6 the area of the entire dollhouse

The area of the living room is 3/2 times the area of the bedroom.

The area of the entire dollhouse is 576 square inches

Let the area of bedroom=b

Let the area of living room=l

(a) The area of the bedroom is 1/6 the area of the entire dollhouse

$b=\frac{1}{6}X576=96$ square inches

(b)The area, in square inches, of the living room

The area of the living room is 3/2 times the area of the bedroom

l= $\frac{3}{2}X96=144$ square inches

(c)The total area of the house =576 square inches

Area of the bedroom=96 square inches

Area of the living room =144 square inches

Area of the dollhouse that is not of the bedroom or living room

=576-(96+144)=576-240=336 square inches.

The area of the living room is 3/2 times the area of the bedroom

This is gotten by subtracting the area of the bedroom and living room from the total area of the house.

3 0

4 years ago

Round 19.98 to the nearest whole number

DiKsa [7]

19.98 rounded to the nearest whole number is 20.
In the number 19, 9 round the 1 to a 2 and the 9 becomes a 0 because of the 9 behind the decimal.
OR
You could think of a percent being 100. 98 is only 2 numbers away from 100 and thus you can round 19 up to 20.

Hope this helps! (:

4 0

3 years ago

Read 2 more answers

Silvio is an air-traffic controller who must calculate the altitude of an incoming plane. He sees the plane at an angle of eleva

Mrac [35]

Since the problem is not telling us the height of Silvio, we are going to assume it is not relevant for our calculations.
Let $h$ the altitude of the incoming plane. We know for our problem that the distance between Silvio and the tower is 3 miles, Also we know that the angle of elevation to the plane is 40°. With this information we can create a triangle as shown in the figure. We need a function that relates the angle of elevation with its opposite and adjacent sides, that function is tangent.
$tan \alpha = \frac{opposite.side}{adjacent.side}$
$tan(40)= \frac{h}{3}$
$h=3tan(40)$
$h=2.5miles$

We can conclude that we should use the trig function tangent to model this situation; also, we can conclude that the equation that describes this situation is $h=3tan(40)$ .

4 0

3 years ago

What is the landing strip’s area ?

Vinil7 [7]

The answer is D.
First subtract 9 from 5,364 then divide you answer by two. Then you should get 2673. Multiple this number by 9 to get an area of 24,057.

5 0

3 years ago