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scZoUnD [109]
3 years ago
9

Two straight lines have equations

Mathematics
1 answer:
sergeinik [125]3 years ago
3 0

Answer:

p is a constant so the answer is D.

Step-by-step explanation:

did it on edge

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Given the function g(x) = 6^x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Ad libitum [116K]
Section A and B
\frac{36 - 6}{2 - 1}  = 30 \\  \frac{1296 - 216}{4 - 3}  = 1080
7 0
4 years ago
Write the equation of the line that passes through (-6,0) and is parallel to the line y=5x-43
AVprozaik [17]

The equation of the line that passes through (-6,0) and is parallel to the line y = 5x - 43 in slope intercept is y = 5x + 30

<em><u>Solution:</u></em>

Given that line that passes through (-6, 0) and is parallel to the line y = 5x - 43

We have to find the equation of line

Let us first find slope of line having equation y = 5x - 43

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c  ------- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

On comparing equation of line y = 5x - 43 with slope intercept form y = mx + c,

we get m = 5

Thus slope of given line is 5

We know that slopes of parallel lines are equal

Thus the slope of line parallel to given line is also 5

Now let us find equation of line having slope "5" and passes through (-6, 0)

Substitute m = 5 and (x, y) = (-6, 0) in eqn 1

y = mx + c

0 = 5(-6) + c

<h3>c = 30</h3>

<em><u>Thus the required equation is:</u></em>

Substitute c = 30 and m = 5 in eqn 1

y = 5x + 30

Thus the required equation of line is found

8 0
3 years ago
Is 23/100 a rational number
Anna35 [415]

Answer:

YES

Step-by-step explanation:

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers

- 23 and 100 are both integers

- 23 / 100 = 0.23 which is not a continious decimal

5 0
2 years ago
Read 2 more answers
What are the measures of Q and M for parallelogram. (32x-18)°M (25x+10)°​
katrin2010 [14]

Answer: this is what i know

Houghton Mifflin Harcourt Publishing Company Holt McDougal Analytic Geometry Challenge 1. Triangle Sum 2. m 7 3. 90° 4. m 5 5. 180° 6. 180°

8 0
3 years ago
One-fifth of the sum of the numerator and the denominator of a particular fraction is8. If the numerator is subtracted from 22,
Alex_Xolod [135]

Answer:

The original fraction is 13/27

Step-by-step explanation:

Let the fraction be x/y. This means that the numerator is x and the denominator is y.

One-fifth of the sum of the numerator and the denominator of a particular fraction is 8. This means that

1/5 (x+y) = 8

Cross multiplying with 5,

x+y = 5×8 = 40 - - - - - - - -1

If the numerator is subtracted from 22, the original fraction becomes 1/3. This means that

(22-x)/y = 1/3

Cross multiplying with y and 3,

3(22-x) = y×1

66-3x = y - - - - - -2

Substituting y = 66-3x into equation 1, it becomes

x + 66 - 3x = 40

x -3x = 40-66

-2x = -26

x = 26/2 = 13

y = 40 - x = 40 - 13

= 27

The original fraction is 13/27

8 0
3 years ago
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