Two number have a sum of 71 and a difference of 37

Answers

Answer 1

Answer: The right answer for the question that is being asked and shown above is that:

Two numbers have a sum of 71 and a difference of 37
x + y = 71
x - y = 37

So in order to get the two numbers, here it is:
x + y = 71
x - y = 37
------------
2x = 108
x = 54
y = 71 - 54
y = 17

So the two numbers are 54 and 17

Answer 2

Answer: 17+54=71 and have a difference of 37.

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What is the simplified form of the quantity of x plus 8, all over the quantity of x plus 2 + the quantity of x minus 3, all over 4?

Answers

Answer: $(x^2+3x+26)/(4x+8)$

Step-by-step explanation:

Since, according to the question the given expression,

$(x+8)/(x+2) + (x-3)/(4)$

= $(4(x+8)+(x-3)(x+2))/(4(x+2))$

= $(4x+32+(x-3)(x+2))/(4x+8)$ (By solving the parenthesis )

= $(4x+32+x(x+2)-3(x+2))/(4x+8)$ ( by distributive property)

= $(4x+32+x^2+2x-3x-6)/(4x+8)$ ( again on applying distributive property)

= $(3x+26+x^2)/(4x+8)$ ( by operating like terms)

= $(x^2+3x+26)/(4x+8)$

$(x + 8)/(x + 2) + (x - 3)/(4) = (4(x + 8))/(4(x + 2)) + ((x + 2)(x - 3))/(4(x + 2)) = (4(x) + 4(8))/(4(x + 2)) + (x(x - 3) + 2(x - 3))/(4(x + 2)) = (4x + 32)/(4(x + 2)) + (x(x) - x(3) + 2(x) - 2(3))/(4(x + 2)) = (4x + 32)/(4(x + 2)) + (x^(2) - 3x + 2x - 6)/(4(x + 2)) = (4x + 32)/(4(x + 2)) + (x^(2) - x - 6)/(4(x + 2)) = ((4x + 32) + (x^(2) - x - 6)/(4(x + 2)) = (x^(2) + (4x - x) + (32 - 6))/(4(x + 2)) = (x^(2) + 3x + 26)/(4(x + 2))$

What is the perimeter of triangle ABC with vertices A(-1,-2), B(2,-6), and C(-3,-6)?

Answers

find the distance between the points and that is perimiter

find
A to B
B to C
C to A
we need the distance formula
D= $\sqrt{(x2-x1)^(2)+(y2-y1)^(2)}$
where D is the distance between points (x1,y1) and (x2,y2)

A to B
(-1,-2) to (2,-6)
D= $\sqrt{(2-(-1))^(2)+(-6-(-2))^(2)}$ =5

B to C
(2,-6) to (-3,-6)
since the y value stayed the same, find the distance betwen the x values
2 to -3 is distance of 5

C to A
(-3,-6) to (-1,-2)
D= $\sqrt{(-1-(-3))^(2)+(-2-(-6))^(2)}$ =2√5

add everybody

5+5+2√5=10+2√5 units

Please answer I'll give branliest

Answers

Answer:

The answer you chose is wrong. The 2nd option which is A(1) = -7, A(n) - 7 is the correct answer.

Step-by-step explanation:

A(1) = -7, A(n) - 7 is the correct answer because plug in the values and you will get all the values that are in the recursive sequence.

A (1) = -7, A(1) - 7 = -14

A(2) = -14, A(2) - 7 = -21

A(3) = -21, A(3) - 7 = -28

What is the measure of angle A?

Answers

Answer:

∠ A = 33°

Step-by-step explanation:

The 3 angles lie on a straight line, hence their sum = 180° , this

A + 57 + 90 = 180° , that is

A + 147° = 180° ( subtract 147° from both sides )

A = 33°

Answer:

it is less then 90 degrese

Step-by-step explanation:

because it is an actue angle it measure less then 90

Which statement best describes a solution to the system of equations 3x+Y=17 X+2y=49 A. It has no solution B. It has infinite solutions C. It has a single solution x=15 y=17 D. It has a single solution x=-3 y=26

Answers

Answer:

It has a single solution x=-3 y=26

Step-by-step explanation:

The ratios of coefficients of x and y are different, so the pair of equations has one solution. It is easy to tell the first offered solution (15, 17) does not satisfy the first equation, so that choice is eliminated.

Fortunately, the second offered solution, (x, y) = (-3, 26), satisfies both equations.

The equations have a single solution: (x, y) = (-3, 26).

Answer: The equation has a single solution x = -3 , y = 26.

( -3, 26 )

Step-by-step explanation:

3x + y =17 ---------------------(1)

x + 2y = 49 -------------------(2)

Using substitution approach

From (2)

x = 49 - 2y --------------------(3)

Now put (3) in equation (1) and solve.

3(49 - 2y) + y = 17

Open the bracket and solve

3 x 48 - 3 x 2y + y = 17

147 - 6y + y = 17

Gather like terms

-5y = 17 - 147

-5y = -130

Multiple through by (-1)

5y = 130

Divide by 5

y = 130/5

y = 26.

Substitute for y now in equation (3) to get the value of x

3x + y = 17

3x + 26 = 17

3x = 17 - 26

3x = -9

Now , divide by 3

x = -3

The equation had a single solution of x = -3 , y = 26

Chech.

3 x -3 + 26

-9 + 26

= 17

Describe a single transformation the has the same effect as rotations a shape 90 degrees clockwise around the origin, then reflecting the result over the x-axis

Answers

Answer:

reflection over the line y = x

Step-by-step explanation:

A transformation is the movement of a point from its initial location to its new location. If a shape is transformed then all its points are also transformed. Types of transformations are rotation, translation, dilation and reflection.

If apoint A(x, y) is rotated 90 degrees clockwise around the origin then the new location is at A'(y, -x). Then if the point A'(y, -x) is reflected over the x axis the new location is A" (y, x)

If a point A(x , y) is reflected over y = x, the new coordinate is A'(y , x)

A transformation that corresponds to rotating a shape 90 degrees clockwise around the origin, then reflecting the result over the x-axis is a reflection over the line y = x

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