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DanielleElmas [232]
2 years ago
10

What is the distance between (14,4) and (15,8)

Mathematics
1 answer:
olasank [31]2 years ago
4 0
=sqrt((x2-x1)^2+(y2-y1)^2)=sqrt((15-14)^2+(8-4)^2)=sqrt(1+16)=sqrt(17)=4.123105625617661=4.1231
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line j is perpendicular to lines m and n. if the products of the slope of all three lines is -8, what is the slope of line j?
jeka94

Answer:

the slope of line j is -1/8, the slope of lines m and n are both 8.

Explanation step by step:

Suppose j is the slope of line j, m the slope of line m and n the slope of line n. Since:

1. line j is perpendicular of line m, so j*m= -1

2. J is perpendicular of line n, so  j*n=-1

3. m and n and parallel so m=n

As we want to know the slope of j we clear the equations presented to us in order to find it.

(1) m* n* j = -8, since n=m we have  n^{2}* j = -8.

we clear j; n^{2} * j = -8 \\ j =\frac{-8}{n^{2} }

replacing in the equation n*j = -1 we get

n*(-8/n^2) = -1. Thus n = 8. Since j = -1/n = -1/8.

7 0
3 years ago
Find the slope of the line passing through the points (1, -5) and (4, 1).
wlad13 [49]

The slope of line passing through the points (1, -5) and (4, 1) is 24

Step-by-step explanation:

Slope is the steepness of a line passing through given points

Given points are:

(x1,y1) = (1, -5)

(x2,y2) = (4,1)

The slope is denoted by m. The formula for slope is:

m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{1-(-5)}{4-1}\\=\frac{6}{3}\\=2

The slope of line passing through the points (1, -5) and (4, 1) is 2

Keywords: Slope, Calculation of slope

Learn more about slope at:

  • brainly.com/question/4770453
  • brainly.com/question/4771355

#LearnwithBrainly

7 0
2 years ago
Ralph bought some oranges. The weight of the oranges was 2.5 kilograms. How many grams is this?
horsena [70]

Answer:

2500 grams

Step-by-step explanation:

convert 2.5 kilograms to grams by multiplying by 1000

= 2.5×1000= 2500grams

7 0
2 years ago
Is non-traditional musical notation, like a body percussion composition, considered music?
kykrilka [37]

Answer:

Music is an art form that means individuals can consider what is music to them.

Music in the dictionary describes music as any sound or voice that produces beauty or form. What shapes body percussion in any percussion would be therefore its form or beauty, to be considered music.

If it fails to provide that quality then it is just considered sound or at best notation to music like a short sound can provide would also be notation to music.

5 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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