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2 years ago

Write the equation of the line that is parallel to y=3x-3 and passes through the point (-1,1)

Mathematics

2 answers:

Nikolay [14]2 years ago

7 0

The given equation of line is

$y=3x-3$

Which is of the form

$y = mx +b$

Where m is the slope which is 3 here.

And slope of parallel lines are equal. So slope of the required line is 3 too .

Now we use slope intercept form, and plug the values of the slope and the given point and solve for b, that is

$1=3(-1)+b \\ 1 = -3+b \\ 1+3 = b \\ b=4$

So we have m =3 and b=4. Therefore required equation of line is

$y = 3x+4$

OverLord2011 [107]2 years ago

4 0

Y= -3x+4 (The answer should be this equation, im very certain of it)

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√108 <img src="https://tex.z-dn.net/?f=9%20%5Ctimes%20%5Cfrac%7B13%7D%7B20%7D%20" id="TexFormula1" title="9 \times \frac{13}{

ki77a [65]

I'm assuming your allowed to use a calculator for this? That's what I would do.
$\sqrt{108} = 10.39$
To go about the fraction, take the whole number and times it by the denominator, then add in the numerator to create a new fraction(a whole one not mixed). Then simply divide the numerator by the denominator.
$9 \times 20 = 180$
$180 + 13 = 193$
193 is the new numerator and the new whole fraction is this and dividing it out gives you,
$\frac{193}{20} = 9.65$
For the third one, just input it into a calculator,
$2\pi + 3.4 = 9.68$

4 0

3 years ago

Two shops sell the same brand of baked beans but in different sizes of tin.

serg [7]

Answer:

Price in shop B is cheaper by 12 p per kg

Step-by-step explanation:

Shop A

£5.65/5= £1.13 = 113 p

Shop B

£2.02/2= £1.01= 101 p

Price in shop B is cheaper by 12 p per kg

5 0

2 years ago

The wind-chill index W is the perceived temperature when the actual temperature is T and the wind speed is v, so we can write W

melamori03 [73]

Answer:

hello your question is incomplete attached below is the complete question

estimating: Ft( -15,40 ) = ( 1.2 + 1.4 ) / 2 = 1.30⁰c

when the actual temperature is -15⁰c and the wind speed is 40 km/h the apparent temperatures increase by 1.3⁰c that the actual temperature rises

estimating: Fv ( -15,40 ) = (-0.2 + -0.1 ) / 2 = -0.15⁰c

when the actual temperature -15⁰c and the wind speed is 40 km/h the apparent temperature decreases by about 0.15⁰c for every km/h that the wind speed

Step-by-step explanation:

A) Estimating the values of Ft(−15, 40) and fv(−15, 40)

attached below is a detailed solution

To estimate the value of Ft( -15,40 ) we have to take an average value hence Ft ( -15,40 ) = ( 1.2 + 1.4 ) / 2 = 1.30

and this means that when the actual temperature is -15⁰c and the wind speed is 40 km/h the apparent temperatures increase by 1.3⁰c that the actual temperature rises

To estimate the value of Fv(-15,40 ) we have to take an average value

hence Fv ( -15,40 ) = (-0.2 + -0.1 ) / 2 = -0.15

and this means that when the actual temperature -15⁰c and the wind speed is 40 km/h the apparent temperature decreases by about 0.15⁰c for every km/h that the wind speed

3 0

2 years ago

Explain why f(x) = x2+4/x2-x-2 is not continuous at x = 2.

xxTIMURxx [149]

Answer: Option a.

Step-by-step explanation:

Make the denominator equal to zero and solve for x:

Factor the quadratic equation. Find two number whose sum is -1 and whose product is -2. Then:

$x^{2}-x-2=0\\(x-2)(x+1)=0\\x=2\\x=-1$

Then, as you can see the value x=2 makes the denominator equal to zero and the division by zero does not exist. Therefore you can conclude that the function shown in the problem is not defined at x=2

The answer is the option a.

6 0

3 years ago

Read 2 more answers

Albert and John are partners in a Bakery store. They needed $70,000 to start the business. They

viktelen [127]

$30,000 you’re welcome

3 0

3 years ago

Read 2 more answers