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NikAS [45]
2 years ago
14

The sum of two numbers is -47 and their difference is one. Find the numbers. Separate with a comma.

Mathematics
1 answer:
Rudik [331]2 years ago
7 0

Answer:

-23, -24

Step-by-step explanation:

Adding negative numbers gets you another negative number. Therefore the numbers must be -23 and -24.

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Can I get help with this
Hunter-Best [27]

Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 =  -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6

3 0
3 years ago
A polygon with 12 sides is called a/an <br> a. dodecagon. <br> b. pentagon. <br> c. undecagon.
Pepsi [2]
The answer is A. dodecagon.
5 0
3 years ago
Read 2 more answers
In two or more complete sentences, compare the number of x-intercepts in the graph of f(t) = 12 to the number of x-
alina1380 [7]

Answer:

Both functions have one x-intercept each.

Step-by-step explanation:

The first function is

f(t )=  {t}^{2}

This is a parabola with vertices at the origin and has one x-intercept at t=0.

The transformed function is

g(t) =  {(t + 3)}^{2}

The function g(t) is obtained by shifting the graph of f(t) to the left by 3 units.

This graph also has one x-intercept at x=-3.

Therefore both functions has the same number of x-intercepts

8 0
3 years ago
If the diameter of a circle is 22.2, then the radius would be _____?
kumpel [21]

Answer:

11.1

Step-by-step explanation:

G o o g l e

4 0
3 years ago
Read 2 more answers
How do I simplify the radical expression. √8-4√2
WITCHER [35]
√8 = √(4x2)  = 2√2

4√2 =4√2

2√2-4√2 = -2√2


3 0
2 years ago
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