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Free_Kalibri [48]
1 year ago
6

Diego is solving this system of equations:

Mathematics
1 answer:
USPshnik [31]1 year ago
7 0

The solutions of the equations are x = 1 and y = 2

The system of equations are

4x + 3y = 10

-4x + 5y = 6

Here we have to use the elimination method. Eliminate the x term and find the value of y term

Add both equation

3y + 5y = 10 +6

Add the like terms

8y = 16

y = 16 / 8

Divide  the terms

y = 2

Substitute the value of x in the first equation

4x + 3y = 10

4x + 3×2 =  10

Multiply the terms

4x + 6  = 10

4x = 10 - 6

4x = 4

x = 4 / 4

Divide the terms

x = 1

Hence, the solutions of the equations are x = 1 and y = 2

Learn more about elimination method here

brainly.com/question/14619835

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How many soultions have 12×+1=3(4×+1)-2​
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Answer:

No solution

Step-by-step explanation:

12×+1=3(4×+1)-2​

Opening brackets

12x + 1 = 12x + 3 - 2

Collecting like terms

12x - 12x = 3 - 2 - 1

Since x is cancelled out. No solution

4 0
3 years ago
Use the distributive property to factor out y 5y - 3y + 12 the new expression becomes​
Brut [27]

Answer:

2y+12

Step-by-step explanation:

7 0
3 years ago
Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14
Hitman42 [59]

Answer:

The angle of elevation of the sun from the ground to the top of a tree is 36^{\circ}.

Step-by-step explanation:

As given

The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.

Now by using the trignometric identity .

tan\theta =\frac{Perpendicular}{Base}

As figure is  given below .

AB =  Perpendicular = 10 yards

BC =  Base = 14 yards

Putting all the values in the trignometric identity .

tan\theta =\frac{AB}{BC}

tan\theta =\frac{10}{14}

\theta =tan^{-1}(\frac{10}{14})

\theta =36^{\circ}

Therefore the angle of elevation of the sun from the ground to the top of a tree is 36^{\circ}.

7 0
3 years ago
Read 2 more answers
Solve for w. Show your work.<br> ( 36 ÷ 3 )( 2 x 6 ) = w
LenaWriter [7]
W = 144. Evaluate the equations inside the parentheses. Which is 12 x 12 then evaluate that. Which equals, 144.
7 0
2 years ago
Read 2 more answers
A circle has its center at the center of a square with 3-inch sides. Find the area of the square not covered by the circle Round
Aleonysh [2.5K]
So in order for us to know the area of the square that is not covered by the circle, we need to find first both the areas of the square and the circle.
So for the area of the square it is A = sxs. And for the circle is A = pi*r^2.
Let us find the area of the square first given that the side is 3 inches.
So A = 3*3
    A = 9 square inches.
Next is the area of the circle. Since the center of the circle is the same with the center of the square, the radius would be 1.5.
SO, A = (3.14)(1.5)^2
       A = 2.25 (3.14)
        A = 7.065 square inches.
Next, we deduct the area of circle from area of square and the result would be 1.935 <span>in². So the answer for this would be option B.
Hope this answer helps.</span>
7 0
3 years ago
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