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Alchen [17]
3 years ago
15

Find the slope of the line

Mathematics
2 answers:
ratelena [41]3 years ago
8 0

Answer:

The slope is -3/4

Step-by-step explanation:

The formula to calculate slope is  m = (y2 -- y1) / (x2 -- x1), where m is the slope. When we substitute the values, we get 0-3 over -2-2. When we solve this, 0-3 is -3 and -2-2 is -4, so the slope is -3/4.

KiRa [710]3 years ago
5 0

Slope formula: y2-y1/x2-x1

= 3-0/2-(-2)

= 3/4

Best of Luck!

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Step-by-step explanation:

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8 0
3 years ago
Find the missing lengths: LK=15 and KH=9, find KI and HI.
Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

base^2+perpendicular^2=hypotenuse^2

Use Pythagoras in triangle HKL

LH^2+KH^2=LK^2

(LH)^2+9^2=15^2

(LH)^2+81=225

(LH)^2=144

Taking square root on both sides.

LH=12

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

(KI)^2+15^2=(12+x)^2

(KI)^2+225=x^2+24x+144

(KI)^2=x^2+24x+144-225

(KI)^2=x^2+24x-81...(1)

Use Pythagoras theorem in ΔHKI,

(KI)^2=x^2+9^2

(KI)^2=x^2+81...(2)

From (1) and (2) we get

x^2+81=x^2+24x-81

24x=162

x=\dfrac{162}{24}=6.75

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

(KI)^2=(6.75)^2+81

(KI)^2=126.5625

Taking square root on both sides.

KI=\sqrt{126.5625}

KI=11.25

Hence, the measure of KI is 11.25 units.

3 0
3 years ago
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