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3 years ago

Which of the following is slope of the line that passes through the points (-1 , 10 ) and (5,2)

Mathematics

1 answer:

san4es73 [151]3 years ago

3 0

Answer:

$m=\frac{-4}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (-1, 10)

Point (5, 2)

Step 2: Find slope m

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

Substitute [SF]: $m=\frac{2-10}{5+1}$
Subtract/Add: $m=\frac{-8}{6}$
Simplify: $m=\frac{-4}{3}$

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1 + + '2+3+ - + = no +1 그

dalvyx [7]

Answer:

t = 1/2n-6, nER

Step-by-step explanation:

4 0

2 years ago

There are 5 candy canes for every 9 presents. How many candy canes are there when there are 108 presents

Ksju [112]

Answer:

When there are 108 presents, there are 60 candy canes

Step-by-step explanation:

candy canes : presents = 5:9

5/9 = x/108

cross multiply:

(5) (108) = 9x

540 = 9x, divide both sides by 9

x = 60

5 0

2 years ago

A florist has to choose four different types of flowers to include in a bouquet. In how many ways can the florist do this, if th

Nat2105 [25]

Answer:

Step-by-step explanation:

Given:

Type of Flowers = 5

To choose = 4

Required

Number of ways 4 can be chosen

The first flower can be chosen in 5 ways

The second flower can be chosen in 4 ways

The third flower can be chosen in 3 ways

The fourth flower can be chosen in 2 ways

Total Number of Selection = 5 * 4 * 3 * 2

Total Number of Selection = 120 ways;

Alternatively, this can be solved using concept of Permutation;

Given that 4 flowers to be chosen from 5,

then n = 5 and r = 4

Such that

$nPr = \frac{n!}{(n - r)!}$

Substitute 5 for n and 4 for r

$5P4 = \frac{5!}{(5 - 4)!}$

$5P4 = \frac{5!}{1!}$

$5P4 = \frac{5*4*3*2*1}{1}$

$5P4 = \frac{120}{1}$

$5P4 = 120$

Hence, the number of ways the florist can chose 4 flowers from 5 is 120 ways

4 0

3 years ago

I NEED HELP! Find the distance from(-4,4) to the line defined by y= -2x+6.Express as a radical or a number rounded to the neares

marysya [2.9K]

In radical form, the shortest distance from ( -4 , 4 ) and the line y = -2x + 6 is 2√5 units.

Attached below is the calculation to arrive at the answer as well as a graph.

8 0

2 years ago

Someone ask me to solve this.

Semenov [28]

X=2h, y=3k

Substitute these values into equations.

y+2x = 4 ------> 3k+2*2h=4 -----> 3k +4h =4

2/y - 3/2x = 1-----> 2/3k -3/(2*2h) = 1 ------> 2/3k - 3/4h =1

We have a system of equations now.

3k +4h =4 ------> 3k = 4-4h ( Substitute 3k in the 2nd equation.)
2/3k - 3/4h =1

2/(4-4h) -3/4h = 1
2/(2(2-2h)) - 3/4h = 1
1/(2-2h) -3/4h - 1=0

4h/4h(2-2h) -3(2-2h)/4h(2-2h) - 4h(2-2h)/4h(2-2h) =0

(4h- 3(2-2h) - 4h(2-2h))/4h(2-2h) = 0
Numerator should be = 0
4h- 3(2-2h) - 4h(2-2h)=0

Denominator cannot be = 0
4h(2-2h)≠0

Solve equation for numerator=0
4h- 3(2-2h) - 4h(2-2h)=0
4h - 6+6h-8h+8h² =0
8h² +2h -6=0
4h² + h-3 =0
(4h-3)(h+1)=0
4h-3=0, h+1=0
h=3/4 or h=-1

Check which
4h(2-2h)≠0
1) h= 3/4 , 4*3/4(2-2*3/4)=3*(2-6)= -12 ≠0, so we can use h= 3/4
2)h=-1, 4(-1)(2-2*(-1)) =-4*4=-16 ≠0, so we can use h= -1, also.

h=3/4, then  3k = 4-4*3/4 =4 - 3=1 , 3k =1, k=1/3
h=-1, then  3k = 4-4*(-1) =8 , 3k=8, k=8/3

So,
if h=3/4, then  k=1/3,
and if h=-1, then  k=8/3 .

6 0

2 years ago