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dusya [7]
2 years ago
14

Which is the graph of Y = log(-x)?

Mathematics
1 answer:
hoa [83]2 years ago
8 0
A++ 123456 -2 -3 -4 1
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A guide wire of length 108 meters runs from the top of an antenna to the ground. If the angle of elevation to the top of the ant
netineya [11]

Answer: Approximately 72.69 meters

Step-by-step explanation:

  • Antenna height = h

sin(42.3)=\frac{opposite}{hypotenuse} =\frac{h}{108} \\\\108*sin(42.3)=h\\\\h=72.685

5 0
2 years ago
Cho tam giác ABC vuông tại A đường giao AH biếtAH=12cm BH=9cm.<br><br>Tính diện tích tam giác ABC
Lostsunrise [7]

Answer:

Step-by-step explanation:

AB^2 = HB^2 + AH^2 => AB = 15cm

Ta co cong thuc: 1/AH^2 = 1/AB^2 + 1/AC^2 => AC=20cm

Vay SABC= 1/2 .AB.AC = 1/2 .15.20=150cm^2

6 0
3 years ago
The height of a triangle is 8ft greater than the base. The area of the triangle is 136.5 square ft. Find the length of the base
mixer [17]

Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height).  Let's abbreviate that to A = (1/2)(b)(h).   We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

               (after multiplying both sides by 2)

          A = 273 = b^2 + 8b

                which, when put into standard quadratic form, becomes:

b^2 + 8b - 273 = 0

The coefficients of this quadratic are a = 1, b = 8 and c = -273.

Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

      -8 ± √1156            -8 ± 17

x = --------------------  =  ------------ = 9/2 and -25/2

              2                          2

Only the root 9/2 makes sense here, because measurements of length are positive.

Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

3 0
3 years ago
ASNWER CORRECTLY AND YOU WILL GET 40 POINTS ALONG WITH BRAINLIEST
FromTheMoon [43]

Answer:

60

Step-by-step explanation:

What we know:

  • ABD is a straight angle, it measures 180 degrees
  • Angle CBA + CBD = 180 degrees
  • Angle GFH = CBA (they are alternate exterior angles)

Equation:

GFH + CBD = 180

Substitute:

3x + 6x = 180

Add:

3x + 6x = 180

9x = 180

Divide:

9x = 180

/9     /9

x = 20

Substitute:

GFH = 3x

GFH = 3(20)

GFH = 60

m<GFH is 60°

8 0
3 years ago
MATH HELP!
Irina18 [472]
You have the correct answer. Nice work. If you need to see the steps, then see below

-------------------------------------------------------------------------------

First we need to find the midpoint of H and I
The x coordinates of the two points are -4 and 2. They add to -4+2 = -2 and then cut that in half to get -1

Do the same for the y coordinates: 2+4 = 6 which cuts in half to get 3

So the midpoint of H and I is (-1,3). The perpendicular bisector will go through this midpoint

---------------------

Now we must find the slope of segment HI

H = (-4,2) = (x1,y1)
I = (2,4) = (x2,y2)
m = (y2 - y1)/(x2 - x1)
m = (4 - 2)/(2 - (-4))
m = (4 - 2)/(2 + 4)
m = 2/6
m = 1/3
Flip the fraction to get 1/3 ---> 3/1 = 3
Then flip the sign: +3 ----> -3

So the slope of the perpendicular bisector is -3

-----------------------

Use m = -3 which is the slope we found
and (x,y) = (-1,3), which is the midpoint found earlier
to get the following
y = mx+b
3 = -3*(-1)+b
3 = 3+b
3-3 = 3+b-3
0 = b
b = 0

So if m = -3 and b = 0, then y = mx+b turns into y = -3x+0 and it simplifies to y = -3x

So that confirms you have the right answer. I've also used GeoGebra to help confirm the answer (see attached)

7 0
3 years ago
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