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2 years ago

BRAINLY PLUS 100 points

Mathematics

2 answers:

Nataly_w [17]2 years ago

6 0

Let one number = X and the second number = Y.

The sum of the numbers is 5 so you get X + Y = 5

One number exceeds the other by 11 ( that means the difference of the numbers is 11, so you would have X - Y = 11

Your two equations are:

X + Y = 5

X - Y = 11

Add the equations together:

x +x = 2x

y-y = 0

5+11 = 16

Now you have 2x = 16

Divide both sides by 2:

X = 16/2 = 8

Now you have x = 8, replace x with 8 and solve for Y:

8 + y = 5

Subtract 8 from both sides:

y = 5 - 8 = -3

X = 8, Y = -3

pshichka [43]2 years ago

6 0

Answer and step-by-step explanation:

If we called the first number is x

The second number is y

We are given that:

x + y = 5

x = y + 11

Let put x from (2) into (1), we gotL

x + y = 5

y + 11 + y = 5

2y + 11 = 5

2y = 16

2y = 8

y = 8

Because y = 8 and x + y = 5 so:

x + 8 = 5

x = 5 - 8

x = -3

So x = -3 and y = 8 or x = 8 and y = -3

Hope this helped :3

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2 years ago

PLEASE PLEASE HELP ME ASAP

Vika [28.1K]

Answer: DC=30.5

Step-by-step explanation:

Use trigonometry to solve this question

sin=O/H
cos=A/H
tan=O/A

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

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- sin(54°)=O/20=20·sin(54°)=16.2

Second Step: Find DC

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2 years ago

Identify the vertex, the axis of symmetry, the maximum or minimum value, and the range of the parabola for y=x^2+6x+13

charle [14.2K]

Answer:

Step-by-step explanation:

First we can determine the x value of our vertex via the equation:

$x=\frac{-b}{2a}$

Note that in general a quadratic equation is such that:

$ax^2+bx+c$

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.

Therefore we can determine the x component of the vertex by plugging in the values known and so:

$x=\frac{-b}{2a}=\frac{-6}{2(1)}=\frac{-6}{2}=-3$

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

$f(x)=x^2+6x+13\\\\f(-3)=(-3)^2+6(-3)+13\\\\f(-3)=4$

Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:

x=-3

Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:

y=4

The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:

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Step-by-step explanation:

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2 years ago

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