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2 years ago

Write the equation of a line perpendicular to the line: y=−5/2x+4 that goes through the point (-6, 0).

Mathematics

1 answer:

NikAS [45]2 years ago

3 0

Step-by-step explanation:

the line given slope = x coefficient = -5/2

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

new slope = 2/5

line equation formula = y = mx+ b

m = slope

y= 2/5x + b

from the point given (-6,0)

x = -6

y = 0

0= -12/5 + b

b = +12/5

line equation =

$y = \frac{2}{5} x + \frac{12}{5}$

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Answer:

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3 years ago

Cameron needs to order some new supplies for the restaurant where he works. The

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Answer:

598=194+8x

Step-by-step explanation:

To solve you would subtract 194 from its self and 598

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2 years ago

Read 2 more answers

An isosceles triangle has a vertical angle of 108 and a base 20 cm long. Solve for the base angles in calculated altitude.

xeze [42]

Answer:

The base angles are 36° each

Step-by-step explanation:

An isosceles triangle is a triangle that has two of its sides and base angles to be equal.

If an isosceles triangle has a vertical angle of 108°, then the base angles will share the remaining angle in the triangle equally.

Since the sum of angles in a triangle is 180°

The remaining angle in the triangle = 180°-108°

= 72°

Since the base angles are equal, this remaining two angles will share angle 72° equally.

The base angles = 72°/2

The base angles = 36°

This shows that the base angles are 36° each.

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3 years ago

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Pierre uses 30 grams of chocolate to make

Travka [436]

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Step-by-step explanation:

Given,

Chocolate used to make 200 ml of chocolate sauce = 30 grams

Ratio of chocolate to milliliters of chocolate sauce = 30:200

Let,

x be the milliliters of sauce made from 450 grams of chocolate

Ratio of chocolate to ml of sauce = x:450

Using proportion;

Ratio of chocolate to ml of sauce:: ratio of chocolate to ml of sauce

$30:200::450:x$

Product of extreme = Product of mean

$30*x=200*450\\30x=90000$

Dividing both sides by 30

$\frac{30x}{30}=\frac{90000}{30}\\x=3000$

450 grams of chocolate will make 3000 milliliters of chocolate sauce.

We will convert this in liters.

1 liter = 1000 ml

3000 ml = $\frac{3000}{1000}$ = 3 liters

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Keywords: ratio, proportion

Learn more about proportion at:

#LearnwithBrainly

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3 years ago