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IrinaK [193]
2 years ago
10

Point b lies on the segment ac . Find the length of the segment ac, if ab=7.8 cm, bc=25mm. How many different solutions can this

problem have? What if we said that point b lies on line a c?
Mathematics
1 answer:
ladessa [460]2 years ago
7 0

The length of the segment ac is 10.3 cm

<h3>How to determine the length ac?</h3>

The segments are given s:

ab = 7.8cm

bc = 25mm

Point b is located between points a and c.

So, we have:

ac = ab + bc

Substitute known values

ac = 7.8cm + 25mm

Express mm a  cm

ac = 7.8cm + 2.5cm

Evaluate the sum

ac = 10.3 cm

If the point b lies on segment ac, then there can be only one solution

Read more about line segment at:

brainly.com/question/2437195

#SPJ1

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The rate of change is 8/6.
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GaryK [48]

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ITS A

Step-by-step explanation:

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7 0
3 years ago
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Find the equation of the line using the point-slope forumla. Write the final equation using the slope-intercept form. parallel t
Greeley [361]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 3x - 2 is in this form with slope m = 3

• Parallel lines have equal slopes

Hence the slope of the parallel line = 3

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 3 and (a, b) = (- 3, - 14), hence

y + 14 = 3(x + 3) ← in point- slope form

Distribute and simplify

y + 14 = 3x + 9 ( subtract 14 from both sides )

y = 3x - 5 ← in slope- intercept form


6 0
3 years ago
1
olga nikolaevna [1]

Answer:

Fraction of the original board left = \frac{2}{15}

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off \frac{1}{5} of a wooden board.

Length of the board left = l - (\frac{1}{5})l

                                        = (\frac{4}{5})l feet

He saws off \frac{3}{4}th of the remaining board,

Board left = (\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]

                = \frac{4}{5}l-\frac{3}{5}l

                = \frac{1}{5}l feet

He finally saws off \frac{1}{3}rd of the remaining board.

Board left = \frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l

                = (\frac{1}{5}-\frac{1}{15})l

                = \frac{2}{15}l feet

Fraction of the original board left = \frac{\frac{2}{15}l}{l}

                                                       = \frac{2}{15}

6 0
3 years ago
LAST QUESTION ON MY TOPIC!!! PLEASE
nataly862011 [7]

Givens

<em><u>Slower car</u></em>

r = r

t = 12 hours

d = ?

<em><u>Faster car</u></em>

r = r + 20

t = 8 hours

d = ?

It doesn't matter what the exact distance is. You just have to know that the 2 distances are equal ie going to the mountains from his home is the same distance as going from the mountains to his home.

d = r * t

r * 12 hours = (r + 20)* 8 hours.   Remove the brackets on the right

r*12 = 8r + 20*8

r*12 = 8*r + 160

r*12 - 8r = 8r - 8r + 160

4r = 160

r = 40 miles / hour

=================

Slower Ride determines the distance.

d = r*t

d = 40 * 12

d = 480

Check

Use the faster rate (r + 20) = 40 + 20 = 60 mph

60 * 8 = 480. Both distances work out to be the same.

5 0
3 years ago
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