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kvasek [131]
3 years ago
14

Given that 2x+7=27 and 3x+1=28,does 2x+7 =3x+1? Explain?

Mathematics
1 answer:
Mice21 [21]3 years ago
8 0

Answer: no

Step-by-step explanation: No, because a linear equation is a statement about equality. We are given that + = , but + = .

Since each linear expression is equal to a different number, + ≠ + .

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Which is smaller: an angle showing a turn through 1/8 of a circle or an angle showing a turn through 1/3 of a circle? Explain yo
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Answer:

An angle showing a turn through 1/8 of a circle is smaller

Step-by-step explanation:

we know that

A complete circle represent 360°

so

<em>An angle showing a turn through 1/8 of a circle is</em>

(360\°)*(\frac{1}{8})=45\°

<em>An angle showing a turn through 1/3 of a circle is</em>

(360\°)*(\frac{1}{3})=120\°

therefore

An angle showing a turn through 1/8 of a circle is smaller

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Which of the following is the slope intercept form of the equation of this line
love history [14]

Answer:

The slope-intercept form of the equation of this line is:

y=-x

Hence, option 'c' is true.

Step-by-step explanation:

From the line equation, let us take two points

  • (1, -1)
  • (-1, 1)

Finding the slope between two points

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)

m=\frac{1-\left(-1\right)}{-1-1}

m=-1

From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0

at x=0, y=0

Thus, (0, 0) is the y-intercept

We know that the slope-intercept form of the line equation is

y=mx+b

where

  • m=slope
  • b=y-intercept

As we have already determined m=-1 and y-intercept=b=0

so substituting m=-1, b=0 in the slope-intercept form of the line equation

y=mx+b

y=(-1)x+0

y=-x

Thus, the slope-intercept form of the equation of this line is:

y=-x

Hence, option 'c' is true.

3 0
3 years ago
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