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Umnica [9.8K]
2 years ago
6

What sum is represented by the following number line?

Mathematics
2 answers:
Eddi Din [679]2 years ago
8 0

Step-by-step explanation:

Mark the end of arrows

  • 2-3/4
  • -4-1/4

So add them

\\ \tt\hookrightarrow 2\dfrac{3}{4}+(-4\dfrac{1}{4})=-1\dfrac{2}{4}

PilotLPTM [1.2K]2 years ago
4 0

Answer:

B.) 2 3/4 + (-4 1/4) = -1 2/4

Step-by-step explanation:

blue line: forward with positive +2\frac{3}{4}

red line: backward with negative -4\frac{1}{4}

so the number line follows: 2\frac{3}{4} + -4\frac{1}{4} = -1 2/4

You might be interested in
Solve x2+4x+6=0 by graphing
klemol [59]

Answer: x = -2±√2 i or no real roots. See the explanation below.

Step-by-step explanation:

If you draw the graph, you will notice that there are no common points or you can say that there are no x-intercepts.

This means that the equation doesn't have any real roots.

If there are 2 common points (2 x-intercepts) then there are 2 real roots (answers.)

If there is only one common point (vertex is on x-axis) then there is only 1 real root.

If there aren't any common points (no x-intercepts) then there are no real roots.

So first, I'm gonna convert the equation into function and convert the standard form to vertex form.

x^2+4x+6=0\\y=x^2+4x+6\\y=(x^2+4x+4)-4+6\\y=(x+2)^2+2

We notice that the vertex is at (-2,2), the graph doesn't have x-intercepts (Graph below)

So the answer is clearly complex.

If you solve this by solving the equation then it'll be.

x^2+4x+6=0\\x= \frac{-b+-\sqrt{b^2-4ac}}{2a} \\x=\frac{-4+-\sqrt{16-24} }{2}\\x=\frac{-4+-\sqrt{-8} }{2}\\\\x=\frac{-4+-2\sqrt{2}i }{2}\\\\x={-2+-1\sqrt{2}i }\\\\

The answer is complex.

However, you can find the value of x easily by graphing. For example.

x^2+6x+5=0

Factor then you get

(x+5)(x+1)=0\\x=-5,-1

Or you can convert it to vertex form then graph.

y=x^2+6x+5

y=(x^2+6x+9)-9+5\\y=(x+3)^2-4

The vertex is at (-3,-4) then graph parabola (x-intercepts determine the roots of quadratic equation. For the graph, parabola intercepts x at (-5,0) and (-1,0) that means both -5 and -1 both are the value of x.

Note:

From the standard form, y=ax^2+bx+c The graph is called Parabola, and it's Quadratic Function.

a is how the graph is, for example. If a>0, the graph is supine parabola and if a<0 then the graph is inverted parabola.

|a| is determined if the graph is wide or narrow, the more the value of a is, the more narrow it will be. The less the value of a is, the more wide it will be.

b is what determined the change of graph (likely vertex). Without b, then it'd be ax^2+k which only move y-axis and not x-axis.

c is what determined the y-intercept and y-axis. If there is no b or the value of b is 0 then the vertex is at (0,c). If there is the value of b then c is only determined the y-intercept.

4 0
3 years ago
The sum of what integer and 181 is equal to -236?
slavikrds [6]

Answer:

<h2>- 417</h2>

Step-by-step explanation:

n - integer

The sum of n and 181 is equal to -236:

n + 181 = -236              <em>subtract 181 from both sides</em>

n + 181 - 181 = -236 - 181

n = -417

6 0
3 years ago
What is meaning of irrational exponents.
sweet [91]

Answer:

Here

Step-by-step explanation:

Irrational exponents are non repeating or infinite decimals while rational exponents are rational numbers. The value of an irrational exponent when calculated is approximate in nature while the value of rational exponent is exact.

4 0
2 years ago
NEED HELP ASAPPP!!!! Get brainlist!
tangare [24]

Answer:

394.9 cm

Step-by-step explanation:

The formula for a cone's surface area is A = π r ( r + √r^2 + h^2 ).

r = radius

h = height

The Pythagorean theorem, a^2 + b^2 = c^2, will be needed to find the height.

Plug in the values.

a(unknown)^2 + 6^2 = 15^2

A + 36 = 255

255 - 36 = 189

√189 ≈ 13.7

Surface area formula, plug in the values.

A = 3.14 × 6 ( 6 + √6^2 + 13.7^2 )

*PEMDAS*

A = 3.14 × 6 ( 6 + √36 + 187.69 )

A = 3.14 × 6 ( 6 + √223.69 )

A = 3.14 × 6 ( 6 + 14.95 )

A = 3.14 × 6 ( 20.96 )

A = 3.14 × 125.76

A = 394.8864

*round to nearest tenth*

A = 394.9 cm

Hope this helps! :)

8 0
3 years ago
Solve 2m + 7 = 9
k0ka [10]

Answer:

m=1

Step-by-step explanation:

2m+7=9

subtract 7 on both sides

2m=2

divide 2 on both sides

m=1

hope it helped

8 0
2 years ago
Read 2 more answers
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