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Mandarinka [93]
2 years ago
8

Solve the following equation: l -4 l x 5= x x =

Mathematics
1 answer:
Ivahew [28]2 years ago
7 0
X = 20 because the Absolute value of -four is 4×5 is 20
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The coordinates of the three vertices of the triangle are A (x1, y1), B (x2, y2), C (x3, y3).
kaheart [24]

Answer:

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x  

1

​

,y  

1

​

) and (x  

2

​

,y  

2

​

) in the ratio m:n, then  

(x,y)=(  

m+n

mx  

2

​

+nx  

1

​

 

​

,  

m+n

my  

2

​

+ny  

1

​

 

​

)

The vertices of the triangle are given to be (x  

1

​

,y  

1

​

),(x  

2

​

,y  

2

​

) and (x  

3

​

,y  

3

​

). Let these vertices be A,B and C respectively.  

Then the coordinates of the point P that divides AB in l:k will be

(  

l+k

lx  

2

​

+kx  

1

​

 

​

,  

l+k

ly  

2

​

+ky  

1

​

 

​

)

The coordinates of point which divides PC in m:k+l will be  

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

​

 

m+k+l

mx  

3

​

+(k+l)  

(l+k)

lx  

2

​

+kx  

1

​

 

​

 

​

,  

m+k+l

my  

3

​

+(k+l)  

(l+k)

ly  

2

​

+ky  

1

​

 

​

 

​

 

⎭

⎪

⎪

⎪

⎬

⎪

⎪

⎪

⎫

​

 

⇒(  

m+k+l

kx  

1

​

+lx  

2

​

+mx  

3

​

 

​

,  

m+k+l

ky  

1

​

+ly  

2

​

+my  

3

​

 

​

)

6 0
2 years ago
Bob is building a wooden cabin. The cabin is 30 meters wide. He obtained a bunch of 17 meters long wooden beams for the roof of
qaws [65]
The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.

So to find the angle of elevation, we can split the roof in half vertically to create a right triangle. The base will now be 15 m, and the hypotenuse will be 17. Now we can use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.

cos(\theta) =  \frac{adjacent}{hypotenuse}

cos(\theta)= \frac{15}{17}

cos^{-1}( \frac{15}{17})=\theta

\theta = 28.1^{\circ}

The answer  is 28.1 degrees
3 0
2 years ago
What is the measure of ∠DEG? A) 133° B) 103° C) 77° D) 67°
Lesechka [4]
77° is the answer to your question
7 0
3 years ago
Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40centimeters deeps a
Gwar [14]

Answer:

51.11 cm

Step-by-step explanation:

hello i will help you

7 0
3 years ago
A school puts on a play. The play costs $1,150 in expenses. The students charge $5.25 for tickets. There will be one performance
tiny-mole [99]

Answer:

The equation to find profit would be y=5.25x-1,150

I'm not sure of what exactly you are looking for, If you need something else let me know and I'll be happy to help!

Step-by-step explanation:

7 0
3 years ago
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