PLEASE HELP ME WITH MY REVISION:

Explain what the slope of a linear relationship is.

Brums [2.3K]

The slope is the same as rate of change. In a linear graph, it is the change in y over the change in x.

8 0

3 years ago

Find the surface area no links no pdfs just type it into the answer section will give brainliest

rewona [7]

Check the picture below.

let's firstly convert the mixed fractions to improper fractions.

$\stackrel{mixed}{7\frac{1}{2}}\implies \cfrac{7\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{15}{2}} ~\hfill \stackrel{mixed}{12\frac{1}{2}}\implies \cfrac{12\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{25}{2}} \\\\[-0.35em] ~\dotfill$

$\stackrel{\textit{\Large Areas}}{\stackrel{two~triangles}{2\left[ \cfrac{1}{2}\left(\cfrac{15}{2} \right)(10) \right]}~~ + ~~\stackrel{\textit{three rectangles}}{(10)(15)~~ + ~~\left( \cfrac{15}{2} \right)(15)~~ + ~~\left( \cfrac{25}{2} \right)(15)}} \\\\\\ 75~~ + ~~150~~ + ~~112.5~~ + ~~187.5\implies \boxed{525}$

8 0

2 years ago

AB and BC form a right angle at point B. If A = (-3,-1) and B = (4,4), what is the equation of BC

m_a_m_a [10]

Answer:

$y=-1.4x+9.6$

Step-by-step explanation:

If A = (-3,-1) and B = (4,4), the slope of AB is

$\text{Slope}_{AB}=\dfrac{-1-4}{-3-4}=\dfrac{-5}{-7}=\dfrac{5}{7}$

Two perpendicular lines have slopes that have product of -1:

$\text{Slopee}_{AB}\cdot \text{Slope}_{BC}=-1\\ \\\dfrac{5}{7}\cdot \text{Slope}_{BC}=-1\\ \\\text{Slope}_{BC}=-\dfrac{7}{5}=-1.4$

The equation of the line BC with slope -1.4 and passing through the point B(4,4) is

$y-4=-1.4(x-4)\\ \\y-4=-1.4x+5.6\\ \\y=-1.4x+9.6$

7 0

3 years ago

F(x)= √x-5. find f-2

rodikova [14]

For this case we have:

Be a function of the form $y = f (x)$

Where:

$f (x) = \sqrt {x-5}$

If we want to find f (-2), we substitute $x = -2$ , then:

$f (-2) = \sqrt {-2-5}\\f (-2) = \sqrt {-7}$

Since we have a negative root, the result will be given by complex numbers. By definition:

$\sqrt {-1} = i$

So:

$f (-2) = \sqrt {7} i$

Answer:

$f (-2) = \sqrt {7} i$

3 0

3 years ago

Which expression simplifies to 41? Choose all that apply!

Arada [10]

Answer:

None of the expressions is simplified to 41.

Step-by-step explanation:

You have to follow the P.E.M.D.A.S., this is:

P:Parentheses first.

E:Exponent next.

M:Multiplication.

D:Division.

(Multiplication and Division is whichever come first, from left to right)

A: Addition.

S: Subtraction.

(Addition and Subtraction is whichever come first, from left to right).

<u><em>We are going to analyze every option:</em></u>

1. 10+ 2.4 - 1

First we have to solve the multiplication:

$10+ 2.4 - 1=10+8-1$

Now we have to solve the addition and subtraction from left to right:

$10+8-1=18-1=17\neq 41$

This is not a correct answer.

2. 10+2.(4-1)

We have to solve the parentheses first:

$10+2.(4-1)=10+2.(3)$

Now the multiplication and then the addition.

$10+2.(3)=10+6=16\neq 41$

This is not a correct answer.

3. (10+23).4-1

We have to solve the parentheses first:

$(10+23).4-1=(33).4-1$

Now the multiplication and then the subtraction:

$(33).4-1=132-1=131\neq 41$

This is not a correct option.

4. $10+(2^2.4)-1$

We have to solve the parentheses first, in the parenthesis first we have to solve: $2^2$ and then do the multiplication.

$10+(2^2.4)-1=10+(4.4)-1=10+16-1$

Now we have to solve the addition and subtraction from left to right:

$10+16-1=26-1=25\neq 41$

This expression is not a correct option.

Then none of the expressions is simplified to 41.

5 0

3 years ago