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zavuch27 [327]
3 years ago
13

What is the slop intercept form of a line that passes threw (4,-4) and (8, -10)

Mathematics
1 answer:
BigorU [14]3 years ago
4 0

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, so we can find the slope:

(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}

Thus, the equation is of the form:

y = - \frac {3} {2} x + b

We substitute one of the points and find "b":

-4 = - \frac {3} {2} (4) + b\\-4 = - \frac {12} {2} + b\\-4 + 6 = b\\b = 2

Finally, the equation is of the form:

y = - \frac {3} {2} +2

ANswer:

y = - \frac {3} {2} +2

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What is the value of x in the equation x+.2x=96
Scilla [17]

Answer:

x = 80

Step-by-step explanation:

1x + 0.2x = 96

1.2x = 96

Divide both sides by 1.2

x = 80

8 0
3 years ago
a. In order for ΔABC to be similar to ΔDEF, what must be true about the angles? Be specific. b. If you know that ΔABC is similar
igomit [66]
I) if the triangles are similar then the corresponding angles are congruent. this means that the angles are of the same size.

ii)  If ΔABC is similar to ΔDEF, therefore; m∠A = m∠D, m∠B=m∠E, and m∠C=m∠F,
thus, if m∠A= 52, m∠D=52, and if m∠E=65, then m∠B=65, thus to get m∠C; 
180- (52+65)
=  63 , therefore; m∠C= 63

iii) if two figures are similar they have the same shape and not necessarily the same size while if two figures are congruent then they have the same shape and size
5 0
3 years ago
Explain how you can use place value to describe how 0.05 and 0.005 compare
Dovator [93]
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3 0
3 years ago
A rental car agency charges $240.00 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $3
statuscvo [17]

Answer: In a week you can travel 941 miles

Step-by-step explanation:

$240+0.15m=$381

Subtract $240 on both sides:

$240-$240+0.15m=$381-$240

0.15m=$141

Divide 0.15 on both sides:

0.15m/0.15=141/0.15

m=941 miles

5 0
3 years ago
PLEASE HELP WILL GIVE 10 POINTS!<br><br> Subtract. −3 2/7−(−5/7)
SashulF [63]

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