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3 years ago

Write the equation in point-slope

Mathematics

2 answers:

kvv77 [185]3 years ago

7 0

Answer:

$\huge\boxed{y-3=\dfrac{1}{2}(x-1)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

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

$m$ - slope

$(x_1;\ y_1)$ - point on a line

We have

$m=\dfrac{1}{2};\ (1;\ 3)\to x_1=1;\ y_1=3$

Substitute:

$y-3=\dfrac{1}{2}(x-1)$

Mnenie [13.5K]3 years ago

3 0

The answer is y-3=1/2(x-1)

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A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.If the mixture is to be made from milk containing

3241004551 [841]

Answer:

800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.

Step-by-step explanation:

Given:

A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.

If the mixture is to be made from milk containing 5% butterfat, and cream

containing 20% butterfat.

Now, to find the pints of each is needed.

Let the pints of 5% butterfat be $x.$

And the pints of 20% butterfat be $y.$

So, the total pints of milk:

$x+y=1000$

$x=1000-y$ ......(1)

As, given:

1,000 pints of milk that contains 8% butterfat.

The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.

According to question:

$5(x)+20(y)=8(1000)$

$5x+20y=8000$

Substituting the value of $x$ from equation (1):

$5(1000-y)+20y=8000$

$5000-5y+20y=8000$

$5000+15y=8000$

Subtracting both sides by 5000 we get:

$15y=3000$

Dividing both sides by 15 we get:

$y=200.$

The pints of 20% butterfat = 200 pints.

Now, to get the pints of 5% butterfat we put the value of $y$ in equation (1):

$x=1000-y$

$x=1000-200$

$x=800.$

The pints of 5% butterfat = 800 pints.

Therefore, 800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.

8 0

2 years ago

If f(x)=5x^2 and g(x)=x+1 find (f•g)

LenKa [72]

(f•g)= f(1)•g(1)

= 5(1)^2 • (1)+1

= 5(1) • 2

= 5 • 2

= 10

Your answer here is 10.

Hope I helped!

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3 years ago

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Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. Wh

mars1129 [50]

Answer:

height is 4ft.

Step-by-step explanation:

I used pathagorus theorem .All explaination is in the pic below.

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2 years ago

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makvit [3.9K]

Answer:

its b

Step-by-step explanation:

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2 years ago

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docker41 [41]

7x/x-4 * x/x+7

mutiply the numerators together

(7x)(x)= 7x^ 2

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(x-4)(x+7)

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2 years ago