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2 years ago

An ice-making machine needs to be switched on

1 answer:

4 0

Since the question explicitly stated that ice production is proportional to time, we're going to have to use proportion fractions. Remember to convert hours into minutes as well.

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What is the equation of the line that passes through the point (4, 3) and is perpendicular to the line x + y = 4?

zimovet [89]

ANSWER

$y - x = - 1$

EXPLANATION

The required equation passes through:

(4,3) and is perpendicular to x+y=4.

Rewrite the given equation in slope-intercept form:

$y = - x + 4$

The slope of this line is -1.

The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.

$m= - \frac{1}{ - 1} = 1$

The equation of the line can be found using:

$y - y_1 = m(x - x_1)$

We substitute the slope and point to obtain:

$y - 3 = 1(x - 4)$

We simplify to get:

$y - 3 = x - 4$

$y - x = - 4 + 3$

The required equation is

$y - x = - 1$

5 0

3 years ago

You can pay $10 for 2 movie tickets assuming the same rate , how much would you pay for 5 movie tickets ?

11Alexandr11 [23.1K]

Answer:

If we assume every 2 movie tickets is $10 then every one ticket would be $5. Assuming this to be true then 5 tickets is $25.

StepByStep Explanation:

movie tickets = t

2t=10

t=5

5t=?

5(5)=?

25=?

?=25

8 0

3 years ago

Which of the following are solutions to the equation below? Check all that apply. 4x2 + 4x + 1 = 9

Vilka [71]

Answer:

4x^2 + 4x + 1=9

4x^2 + 4x - 8=0

Dividing both sides by 4

x^2 + x -2=0

It can be written as

x^2 + 2x - x - 2=0

x(x+2) -1(x+2)=0

taking (x+2) as common on LHS

Then, (x+2)(x-1)=0

Now first equate x+2=0 ie x=-2

then x-1=0 ie x=1

Therefore, x has two values(roots)

that is -2,1

4 0

3 years ago

How to find the perimeter of a parallelogram

jonny [76]

Perimeter is the sum of all the sides of the shape

do you know the length of each side of the parallelogram?

4 0

2 years ago

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1985 x 99 I already know the answer: 196515

worty [1.4K]

Answer:

oh well thanks

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers