Larry rolls 2 fair dice and adds the results from each.

A triangle has an area of 12 square millimeters. What could be the measures of the base and height of the triangle in millimeter

Harman [31]

Answer:

Step-by-step explanation:

area = ½bh = 12 mm²

bh = 24 mm²

(b,h) = (3,8) and (6,4)

7 0

3 years ago

Graph the function.

RideAnS [48]

Answer:

$\displaystyle{y=-3x-1}$

Step-by-step explanation:

I have two methods: <u>standard-learning</u> which will explain overall mathematically - basically formula, etc. - while the other one <u>trick-tips</u> method will rely on choices rather mathematical calculations but with explanation on <em>why</em> and <em>how.</em>

<h3>Standard-Learning</h3>

First, let’s pick two points that are integers since they are easily to be found via graphs. We see that (-1,2) and (0,-1) is a part of the graph so now we finally have picked two points for our calculations.

When we have finally picked two points, we will be using them for <u>slope calculation</u>. This part is <u>crucial</u> for finding an equation of a line because a line has to contain slope in its equation.

To calculate the slope, we use rise over run formula which is:

$\displaystyle{\dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1}}$

Note that $\displaystyle{\Delta}$ is delta - in both mathematic and physics, it means <u>changes in</u>.

So, we will be using those two points that we have picked to substitute in the slope formula. Let’s determine that $\displaystyle{(x_2,y_2)=(-1,2)}$ and $\displaystyle{(x_1,y_1)=(0,-1)}$ .

Therefore, our slope will be:

$\displaystyle{m=\dfrac{2-(-1)}{-1-0}}\\\\\displaystyle{m=\dfrac{2+1}{-1}}\\\\\displaystyle{m=-3}$

Next, find the y-intercept. From the graph, we see that the graph intercepts at (0,-1) which is y-intercept so we will only use y-value. Hence, b = -1.

From the slope-intercept form:

$\displaystyle{y=mx+b}$

Substitute m (slope) = -3 and b (y-intercept) = -1. Hence, the equation of line is:

$\displaystyle{y=-3x-1}$

<h3>Fast Way (Trick-Tips)</h3>

Relying on choices and knowledge of graph, notice that there are slopes of 3 and -3.

Keep in mind that if slope is negative, it will decrease down and if slope is positive, it will increase up.

Therefore, cut off all choices with positive slopes which are 1 and 3. We are now left with 2 and 4.

Next, look at the graph and tell its y-intercept. It intercepts y at y = -1 so we take value of -1.

So choice 4 is cut off and now we have choice 2 as the answer.

Learn More:

brainly.com/question/27514958 - Find the line equation with given points

8 0

2 years ago

Luana bought a new phone and plan. She paid $175. after three months, She paid $295. after 6 months. Write an equation that mode

elixir [45]

Answer: Hence, our required model will be

$C=40m+55$

Explanation:

Since we have given that

Luana bought a new phone and

For 3 months, the amount she paid = $175

For 6 months, the amount she paid = $295

Now, we have to model an equation ,

Here, let cost be 'C' and

Let number of months be 'm'.

So, we will use the "equation of line" i.e. for two point slope form :

Here y represented by 'C' and x represented by 'm'

So,

$C-C_0=\frac{295-175}{6-3}(m-m_0)\\\\C-175=\frac{120}{3}(m-3)\\\\C-175=40(m-3)\\\\C-175=40m-120\\\\C=40m-120+175\\\\C=40m+55$

Hence, our required model will be

$C=40m+55$

6 0

3 years ago

Point K is rotated 90". The coordinate of the pre-image point K was (2,6) and its image K' is at the coordinate (-6, -2) Find th

tensa zangetsu [6.8K]

Answer:

Clockwise

Step-by-step explanation:

Sorry I answered late

3 0

3 years ago

Read 2 more answers

The coordinates of the vertices of triangle QRS are Q (1,-2), R (1,9),

Darina [25.2K]

I think 1700000000000000000

5 0

2 years ago

Read 2 more answers