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Brut [27]
4 years ago
8

The equation of line f is y − 9 = -5(x + 7) . Line g is parallel to line f and passes through (3, -8) . What is the equation of

line g? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.
Mathematics
1 answer:
Kisachek [45]4 years ago
5 0

Answer:

The slope intercept form: y = - 5x + 7

Step-by-step explanation:

The equation of line f is y − 9 = -5(x + 7)

You need to find the slope of line f

y - 9 =  -5(x + 7)

In point slope form: y - y1 = m(x - x1) where m = slope

In the line f, slope m = -5

Parallel lines, slope is the same so slope of line g is also equal - 5

Line g passes through (3, - 8) so equation in point slope form:

y + 8 = -5(x - 3)

y + 8 = -5x + 15

y = -5x + 7    <-----this is slope intercept form

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A point has no length, no width, and no height.<br> True or false?
vitfil [10]

Answer:

A point has no length or width or thickness. ... A (straight) line has length but no width or thickness. A line is understood to extend indefinitely to both sides.

A point in geometry is a location. It has no size i.e. no width, no length and no depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions.

True.

3 0
3 years ago
Peter left his home in Chicago and drove to a town a few hours away. On the way there, he drove 40 mph due to traffic, but on th
Orlov [11]

Answer:

50 mph

Step-by-step explanation:

To calculate averages you add up all the items and divide by the total number of items there is.In this problem were 2 items so you divide it by 2

Add the two numbers

40+60=100

now just divide by 2 because there was 2 drives giving you 50 mph

Hope this helps!

:)

4 0
4 years ago
Which point is the midpoint of segment AB?
Allushta [10]
Point X is the midpoint
7 0
3 years ago
The mean number of travel days per year for salespeople employed by three hardware distributors needs to be estimated with a 0.9
bearhunter [10]

Answer:

133

Step-by-step explanation:

7 0
3 years ago
Amber, Bernie, and Carlos are working on a problem together. Their goal is to correctly apply the difference of cubes formula to
NeX [460]

Answer: Carlos is correct

Step-by-step explanation:

2x^5-250x^2

The first step is to factorize out 2x^2

2x^2(x^3-125)

This can be rewritten as

2x^2(x^3-5^3),

Recall, difference if cube (a^3-b^3)

= (a-b)(a^2 +ab + b^2)

from our equation,

a= x

b = 5.

So the difference of cubes will be

2x^2[(x-5) (x^2 + 5x + 5^2)]

=2x^2[(x-5) (x^2 + 5x + 25)]

Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.

Amber is incorrect because 125 is equal to b3, not b.

Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.

6 0
3 years ago
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