All categories

3 years ago

Find the slope given: (3, -10) & (4, -21) m =

Mathematics

1 answer:

AleksAgata [21]3 years ago

3 0

Answer:

$\displaystyle m=-11$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (3, -10)

Point (4, -21)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{-21+10}{4-3}$
[Fraction] Add/Subtract: $\displaystyle m=\frac{-11}{1}$
[Fraction] Divide: $\displaystyle m=-11$

You might be interested in

Use the parabola tool to graph the quadratic function f(x)=x2−12x+27. Graph the parabola by first plotting its vertex and then p

alina1380 [7]

Answer:

vertex is (6 , -9)

points are (9,0) and (3,0)

Step-by-step explanation:

Given quadratic function $f(x)=x^2-12x+27$

We have to plot the given quadratic function.

Consider the Given quadratic function $f(x)=x^2-12x+27$

The general form of quadratic function is given $f(x)=a(x-h)^2+k$

Where, (h, k) is vertex , given $h =\frac{-b}{2a}$ and $k = f(h)$

Thus, for given quadratic function $f(x)=x^2-12x+27$

a = 1 , b= -12 , c = 27

Thus,

$h =\frac{-b}{2a}=\frac{12}{2}=6$

$k = f(h)$ that is f(12) = (6)^2 - 12× 6 +27 = 36 - 72 + 27 = - 9

Thus, given quadratic function $f(x)=x^2-12x+27$ in standard form is $f(x)=(x-6)^2-9$

Thus, vertex is (6 , -9)

For second point put $f(x)=0$ , we get,

$f(x)=(x-6)^2-9=0$

$\Rightarrow (x-6)^2-9=0$

$\Rightarrow (x-6)^2=9$

$\Rightarrow (x-6)=\pm 3$

$\Rightarrow x= 6\pm 3$

Thus, $\Rightarrow x=6+3=9$ and $\Rightarrow x=6-3=3$

thus, points are (9,0) and (3,0)

Graph is attached below.

5 0

3 years ago

Can someone please help me to solve 3/4 problems pls i will mark you the brainly pls I need help

Gennadij [26K]

Answer:

3. x = 11.6

4. f = 2 g = 2

Step-by-step explanation:

3) (3x - 7) + (4x + 6) = 90 --> x = 11.6

4) 3f + 1 = 5f - 15 ---> f = 2

6g - 5 = 3f + 1

6g = 3(2) + 6 ---> g = 2

8 0

3 years ago

A fruit stand has 28 apples, 20 oranges, and 12 pears. What is the ratio of apples to the total pieces of fruit?

ruslelena [56]

Data:
Apples = 28
Oranges = 20
Pears = 12

What is the ratio of apples to the total pieces of fruit?
Solving:
 $\frac{apples}{apples+oranges+pears} = \frac{28}{28+20+12} = \frac{28}{60} \frac{\div4}{\div4} \to\:\boxed{\boxed{ratio = \frac{7}{15}}}\end{array}}\qquad\quad\checkmark$

5 0

3 years ago

Use the formula S= 2(lw)+2(lh)+2(wh) to find the surface area of a rectangular prisim with the following dimensions.

ryzh [129]

2(2*3)+2(2*4)+2(3*4)=52

3 0

3 years ago

Help plz:)))I’ll mark u Brainliest

frez [133]

It’s 15/30=x/34
you divide 15/30 gives you 1/2 then you multiply by 34 gives you 17 thats your answer
x= 17

3 0

3 years ago