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2 years ago

Write an equation for the line perpendicular to y=1/3x-2 and passing through the point (3,3)

Mathematics

1 answer:

maria [59]2 years ago

6 0

line given slope = x coefficient = 1/3

Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1

line slope (m) = -3

line equation formula = y = mx + b

y = -3x + b

from the point given

x = 3

y= 3

3 = -9 + b

b = 12

y = -3x + 12

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Two pieces of equipment were purchased for a total of $4000. If one piece cost $850 more than

ruslelena [56]

The price of less expensive equipment is $1575.

Step-by-step explanation:

Let,

Price of one equipment = x

Price of other equipment = y

According to given statement;

x+y=4000 Eqn 1

x = y+850 Eqn 2

Putting Eqn 2 in Eqn 1

$(y+850)+y=4000\\y+850+y=4000\\2y=4000-850\\2y=3150$

Dividing both sides by 2;

$\frac{2y}{2}=\frac{3150}{2}\\y=1575$

Putting y=1575 in Eqn 2;

$x=1575+850\\x=2425$

The price of less expensive equipment is $1575.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

What is 310,763,136 in word form

Mariana [72]

Three hundred and ten million, seven hundred and sixty three thousand, one hundred and thirty six.

6 0

3 years ago

A pen in the shape of an isosceles right triangle with legs of length x ft and hypotenuse of length h ft is to be built. If fenc

Vaselesa [24]

Answer:

$\frac{8h}{\sqrt{2}} + 16h$

Step-by-step explanation:

First we need to compute the side length as a function of h

So x be the side length of the right isosceles triangle, in Pythagorean formula we have

$x^2 + x^2 = h^2$

$2x^2 = h^2$

$x = \frac{h}{\sqrt{2}}$

The cost for the legs is

$C_l = 4*2x = \frac{8h}{\sqrt{2}}$

The cost for the hypotenuse is

$C_h = 16h$

So the total cost in term of h is

$C = C_l + C_h = \frac{8h}{\sqrt{2}} + 16h$

5 0

3 years ago

The line through (5, 7) and (1, - 5)

lbvjy [14]

Answer:

Hey there!

Slope of the line: $\frac{y2-y1}{x2-x1}$

Slope of the line: $\frac{12}{4}$ , which is equal to 3.

Point slope form: y2-y1=m(x2-x1)

Point slope form: y-7=3(x-5)

Y intercept form: y-7=3x-15

Y intercept form: y=3x-8

Let me know if this helps :)

3 0

3 years ago

The formula for any geometric sequence is an = a1 · rn - 1, where an represents the value of the nth term, a1 represents the val

kifflom [539]

Answer: an = -3 · 2^n - 1

Step-by-step explanation:

In a geometric series, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

an = a1 × r^(n - 1)

Where

a1 represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

Looking at the given sequence,

a = - 3

r = - 6/ - 3 = 2

Therefore, the formula for the sequence is

an = - 3 × 2^(n - 1)

6 0

3 years ago

Read 2 more answers