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2 years ago

Line Q is represented by the following equation: 2x + y = 11

Mathematics

2 answers:

algol132 years ago

8 0

Answer:

the Answer is x + y = 8 because 3 + 5= 8

Step-by-step explanation:

ad-work [718]2 years ago

6 0

The answer is x + y = 8

The coordinates are (3,5) where 3 is the x coordinate and 5 is the y coordinate.

If you substitute (3,5) into x + y = 8

you'll get get

3 + 5 = 8 which is true

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77julia77 [94]

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3 years ago

Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)

icang [17]

The equation is $y = \frac{3}{2} x - \frac{11}{2}$

Explanation:

We have to first find the mid-point of the segment, the formula for which is

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

So, the midpoint will be $(\frac{-1+7}{2} , \frac{1-5}{2} )\\\\$

= $(3,-2)$

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula $\frac{y_2-y_1}{x_2-x_1}$

The slope is $\frac{-5-1}{7+1}$ = $-\frac{2}{3}$

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of $-\frac{2}{3}$ is $\frac{3}{2}$

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

$-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}$

Thus, the equation becomes:

$y = \frac{3}{2} x - \frac{11}{2}$

7 0

3 years ago

Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16 feet. Which of the

horrorfan [7]

It is
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y=3x-11
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2 years ago

Read 2 more answers

How to write an standard equation with two given points?

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Use the slope formula to find the slope. Use the slope (that you found in the step above) and one of the points to find the y-intercept. (Using y = mx+b, substitute x, y, and the slope (m) and solve theequation for b.) Write the equation in slope interceptform using the slope and y-intercept

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2 years ago

Any help. (5 marks)

anyanavicka [17]

Population of England in 2003 = 383 * 130,281 = 49,897,623

In 2008 this is 0.84 * 61,000,000 = 51,240,000

Increase = 51,240,000 - 49,897,623 = 1,342,377

Answer is 1,300,000 to 2 significant figures.

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2 years ago