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spayn [35]
3 years ago
7

Write the equations of three distinct lines that have the same y-intercept,-1.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
7 0
Three possible answers are:
y = 2x-1
y = 5x-1
y = -3x-1

All of them have the same y intercept of -1. The slopes are the only thing that differ.

Any linear equation can be written in the form y = mx+b where
m = slope
b = y intercept
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Find the value of x.<br> (3x+20) º<br> 12°
PolarNik [594]

Answer:

x=32°

Step-by-step explanation:

2x+3x+20=180 co interior angle

5x=180-20

x=160/5=32°

7 0
3 years ago
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Simplify (3+√5)(3+√2)
ANEK [815]

When we simplify (3 + √5)(3 + √2), the result obtained is:

9 + 3√2 + 3√5 + √10

<h3>Surd operation </h3>

a√b × c√d = (a × c)√(b × d)

<h3>How to simplify (3 + √5)(3 + √2)</h3>

(3 + √5)(3 + √2)

Expand by clearing the bracket

3(3 + √2) + √5(3 + √2)

9 + 3√2 + 3√5 + √10

Thus,

(3 + √5)(3 + √2) = 9 + 3√2 + 3√5 + √10

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3 0
2 years ago
Write an equation in point-slope form for the line.<br> (1,3) <br> (0,1)<br> m=4
Anna [14]

Given coordinates (1,3) and (0,1).

In order to find the equation of line, we need to find the slope between given coordinates.

We know slope formula,

m= \frac{y2-y1}{x2-x1}

We have (x1,y1) = (1,3) and (x2,y2) = (0,1).

Plugging values of x1,y1,x2 and y2 in slope formula, we get

m=\frac{1-3}{0-1}

Simplifying top and bottom of the fraction we got for slope

m=\frac{-2}{-1}=2

We got slope m=2.

We are given second point (0,1), where x-coordinate is 0 and y-coordinate is 1.

y-intercept is a point on y-axis, where x=0.

Therefore, y-intercept = 1.

Now, applying slope-intercept form of the linear equation

y=mx+b, where m is the slope and b is y-intercept.

m=2 and b=1.

Plugging values of m and b in slope-intercept form, we get

y=2x+1.

Therefore, point-slope form for the line is y=2x+1.

5 0
3 years ago
The average weight of full-grown beef cows is 1,470 pounds with a standard deviation of 230 pounds. if the weights are normally
creativ13 [48]

Answer: The percentile is 89

Step-by-step explanation:

This question can be solved using concept for t tables

In a normal distribution the curve. \mu= 1470 ,  \sigma = 230, x=1750

The relationship between z score, mean and standard deviation is given by

x = \mu+z\sigma

So the z value according to this is given by the formula

1750=1470+z(230)\\ z=\frac{280}{230} \\\\z = 1.217

From the z table we can infer that p value for z=+1.217 is 88.82

So 1750 is 89th percentile

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8 0
2 years ago
Which equation does NOT have the same solution as 1/3 (19 – 2x) = x + 1
Yuri [45]

Answer:

x = 19/2 hope it goes well

3 0
3 years ago
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