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Dovator [93]
3 years ago
10

Help me on this please

Mathematics
1 answer:
pentagon [3]3 years ago
6 0
60cm is the length from A and B
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Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equati
riadik2000 [5.3K]

Answer:

y = \frac{3}{2} x + 7

Step-by-step explanation:

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

y - 8 = - \frac{2}{3} (x + 5) ← is in point- slope form

with m = - \frac{2}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{2}{3} } = \frac{3}{2}

the equation of a line in slope- intercept form is

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

y = \frac{3}{2} x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = \frac{3}{2} x + 7 ← equation of line K

7 0
2 years ago
4^4x-5= 8^3x-4 solve
Alexxandr [17]

4^{4x-5}=8^{3x-4}\\\\(2^2)^{4x-5}=(2^3)^{3x-4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(4x-5)}=2^{3(3x-4)}\iff2(4x-5)=3(3x-4)\qquad\text{use distributive property}\\\\(2)(4x)+(2)(-5)=(3)(3x)+(3)(-4)\\\\8x-10=9x-12\qquad\text{add 10 to both sides}\\\\8x=9x-2\qquad\text{subtract 9x from both sides}\\\\-x=-2\to \boxed{x=2}

8 0
3 years ago
Someone please help me
Mars2501 [29]

Answer:

x=-1,-2

Step-by-step explanation:

Multiply the given equation with (x+1) on both sides. We'll get,

x+2/x=-3

or,x^2+2=-3x

or,x^2+3x+2=0

or,x^2+2x+x+2=0

or,x(x+2)+1(x+2)=0

or,(x+2)(x+1)=0

or,x=-2,-1

4 0
3 years ago
A triangle has sides with lengths of 8 centimeters, 15 centimeters, and 17 centimeters. Is it a right triangle?
ycow [4]

Answer:

Yes it is!

Step-by-step explanation:

If you want to know whether it is, use the pytheoream theory. a2+b2=c2

a is the shortest side, b is the second longest and c is the longest.

In this case, the equation will be:

8 sq + 15 sq = 17 sq

64 + 225 = 289

= It is a right-angled triangle!

7 0
3 years ago
Can you name some math terms starting with the letter "O" and give a short description of them?
likoan [24]
Obtuse angle

Operation

Order of operation
4 0
2 years ago
Read 2 more answers
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