15.0mL 40.5g. What’s the density

Slope=-3 goes through (1,2) whats the equation

dedylja [7]

Hi student, let me help you out! :)

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We are asked to find the equation of the line, using the given information:

$\star~\mathrm{-3}$ , which is the slope

$\star~\mathrm{(1,2)}$ which is a point that the line contains

$\triangle~\fbox{\bf{KEY:}}$

The slope is the number before x, in the form $\mathtt{y=mx+b}$ .

Since "m" is the slope, and we're given what the slope is, we can substitute -3 for m:

$\dag~\mathtt{y=-3x+b}$

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Now, we need to find the y intercept, "b", of the line.

Here's how it's done:

Remember the point that the line contains, (1,2)?

Well, its y-coordinate is 2; so what we do is substitute 2 for y:

$\dag~\mathtt{2=-3x+b}$

Also, its x-coordinate is 1, so we substitute 1 for x:

$\dag~\mathtt{2=-3(1)+b}$

Now, solve for b:

$\dag~\mathtt{2=-3+b}$

Add 3 to both sides:

$\dag~\mathtt{2+3=b}$

Thus, we have

$\dag~\mathtt{5=b}$

Thus, the equation of the line is:

$\bigstar\underline{\boxed{\mathtt{y=-3x+5}}}$

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

$\overline{\underline{~~~~~~~~~~~~~~~~~~~~~~~~~~}}$

3 0

2 years ago

Evaluate the expression when x=12,y=-3 and z=-2

Degger [83]

Answer:

(12)(3)(-2)

Step-by-step explanation:

5 0

3 years ago

What is the square root of 32 over 4

castortr0y [4]

$\frac{\sqrt{32}}{4}$

Factor square root of 32: 2^5/2.

Factor 4: 2^2

$\frac{2^\frac{5}{2}}{2^{2}}$

Cancel 2 1/2= 2 1/2.

2 1/2= square root of 2.

Answer: $\sqrt{2}$

Hope this helps :)

4 0

3 years ago

Read 2 more answers

A shop has determined that the number of bottles of water they sell on a summer day is a function of the day’s high temperature,

Alik [6]

Answer:

$T=t+94$

Where T is the hight temperature and t is the day

Explanation:

The table shows that every day the<em> High temperature, T (degrees F) </em>increases 1 unit.

Then, this is a linear function with slope = 1ºF / day.

You can use the point-slope equation to determine the <em>function of the high temperature:</em>

Point-slope equation:

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

Choose any point from the table and m = 1. I will use the first point (1,95)

m = 1

x₁ = 1

y₁ = 95

Substitute:

$y-95=1(x-1)\\\\y=x-1+95\\\\y=x+94$

Make the variables y = T, and x = t:

$T=t+94$

4 0

3 years ago

Jeanna is making holiday cupcakes for her family. She typically makes 2 dozen red velvet and 3 dozen gingerbread spice cake. Sin

valentina_108 [34]

Answer:

15 dozens of cakes

Step-by-step explanation:

It is given that Jeanna is making cupcakes for her family and she normally makes 2 dozens of red velvet cakes and 3 dozens of gingerbread spice cakes. But as everybody is staying at home, Jeanna wants to increase the standard amount by 3 for enough cakes.

So,

2 dozens of velvet cakes, i.e.

2 x 12 = 24 red velvet cakes

Increasing this amount by 3 times will give us 24 x 3 = 72 red velvet cakes.

Similarly,

3 dozens of gingerbread spice cakes, i.e.

3 x 12 = 36 gingerbread spice cakes

Increasing this amount by 3 times will give us 36 x 3 = 108 gingerbread spice cakes.

Therefore the total number of cakes is = 72 + 108

= 180 cakes.

We know 1 dozen = 12

Therefore dividing 180 cakes by 12, we get

$=\frac{180}{12}$

= 15 dozen cakes.

Therefore, now Jeanna will have to make 15 dozens of cupcakes for all.

5 0

3 years ago