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Keith_Richards [23]
2 years ago
13

What two numbers have a sum of 191 and a difference of 63

Mathematics
2 answers:
gavmur [86]2 years ago
6 0

Answer:

127 and 64

Step-by-step explanation:

To solve this, we can set up a system of equations.

We can name the first number x and the second number y.

x+y=191

x-y=63

We can use elimination to eliminate the y variable.

We do this by adding the equations together

  x+y=191

+ x-y=63

_________

2x=254

Divide both sides by 2.

x=127

Now we can plug that in to find y.

x+y=191

127+y=191

Subtract 127 from both sides.

y=64

So our two numbers are 127 and 64.

pashok25 [27]2 years ago
4 0

Answer:

Step-by-step explanation:

a+b=191

a-b=63

i sum these

a+b+a-b=191+63

2a=254

a=254/2

a=127

b=191-127

b=64

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The graph of the quadratic function y=-x^2-2x+3 is shown below
Karolina [17]

Answer:

The axis of symmetry is at x=-1

The graph has an x-intercept at (1,0)

The graph has a vertex at (-1,4)

Step-by-step explanation:

we have

y=-x^{2}-2x+3

Statements

case 1) The graph has root at 3 and 1

The statement is False

Because, the roots of the quadratic equation are the values of x when the value of y is equal to zero (x-intercepts)

Observing the graph, the roots are at -3 and 1

case 2) The axis of symmetry is at x=-1

The statement is True

Observing the graph, the vertex is the point (-1,4)

The axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex

so

the equation of the axis of symmetry is x=-1

case 3) The graph has an x-intercept at (1,0)

The statement is True

see procedure case 1)

case 4)  The graph has an y-intercept at (-3,0)

The statement is False

Because, the y-intercept is the value of y when the value of x is equal to zero

Observing the graph, the y-intercept is the point (0,3)

case 5) The graph has a relative minimum at (-1,4)

The statement is False

Because, is a vertical parabola open downward, therefore the vertex is a maximum

The point (-1,4) represent the vertex of the parabola, so is a maximum

case 6) The graph has a vertex at (-1,4)

The statement is True

see the procedure case 5)

see the attached figure to better understand the problem

6 0
3 years ago
Read 2 more answers
I don’t know the answer
anastassius [24]
I THINK IT IS B

B) D(X)= X-8x4 
7 0
3 years ago
6(m-1) = 3(3m + 2) Show all work
nordsb [41]

Answer:

\boxed{\sf m = -4}

Step-by-step explanation:

\sf Solve \:  for  \: m: \\  \sf \implies 6 (m - 1) = 3 (3 m + 2) \\  \\  \sf Expand \:  out  \: terms \:  of \:  the \:  left  \: hand \:  side: \\  \sf \implies 6 m - 6 = 3 (3 m + 2) \\  \\  \sf Expand \:  out  \: terms  \: of  \: the  \: right \:  hand \:  side: \\  \sf \implies 6 m - 6 = 9 m + 6 \\  \\  \sf Subtract \:  9 m  \: from  \: both  \: sides: \\  \sf \implies (6 m - 9 m) - 6 = (9 m - 9 m) + 6 \\  \\  \sf 6 m - 9 m = -3 m: \\  \sf \implies -3 m - 6 = (9 m - 9 m) + 6 \\  \\  \sf 9 m - 9 m = 0: \\  \sf \implies -3 m - 6 = 6 \\  \\  \sf Add  \: 6 \:  to \:  both  \: sides: \\  \sf \implies (6 - 6) - 3 m = 6 + 6 \\  \\  \sf 6 - 6 = 0: \\  \sf \implies -3 m = 6 + 6 \\  \\  \sf 6 + 6 = 12: \\  \sf \implies -3 m = 12 \\  \\  \sf Divide  \: both  \: sides  \: of \:  -3 m = 12 \:  by \:  -3: \\  \sf \implies  \frac{ - 3m}{ - 3}  =  \frac{12}{ - 3}  \\  \\  \sf \frac{ - 3}{ - 3} = 1: \\  \sf \implies m =  \frac{12}{ - 3}  \\  \\  \sf -  \frac{12}{3}  =  - 4 :  \\  \sf \implies m =  - 4

7 0
3 years ago
If CDEF is a kite, CD =15 find CG
SpyIntel [72]

Answer:

Step-by-step explanation:

CD = 15, so we have the hypotenuse.

DF = 18, but we can find a leg by 18/2 which is 9

using our pyth. theorem, 15^2=9^2+CG^2

CG = 12

Hope this helped

5 0
2 years ago
1. The great pyramid at Giza is the largest pyramid in the world, the area of its square base is 52,441 m squared, what is the l
AlladinOne [14]

Answer:

The length of each side of the base is 229\ m

Step-by-step explanation:

we know that

The area of a square is equal to

A=b^{2}

where

b is the length side of a square

In this problem we have

A=52,441\ m^{2}

so

substitute in the formula

52,441=b^{2}

Square root both sides

b=\sqrt{52,441}\ m

b=229\ m

3 0
2 years ago
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