All categories

3 years ago

Which of the following is the equation of a line that passed though the points (2,5) and (4,3)

Mathematics

1 answer:

STatiana [176]3 years ago

4 0

The correct answer is C as it has the same line of equation. We can make this clear by verifying that these two points make the same equation or not. So as we can see if we calculate the gradient using the formula y2 - y1 / x2 - x1.

As we now know that the gradient is -1. We can simply put any one point in the equation y - y1 = m(x - x1) to get the line of equation. WHen we calculate the line of equation it come out to be y = -x + 7

You might be interested in

Please help

meriva

Answer:

Step-by-step explanation:

we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes

q² = p² + r² - 2(p × r)CosQ

q² = 12² + 6² - 2(12 × 6)Cos92

q² = 144 + 36 - 2(72)Cos92

q² = 180 - 144 × - 0.0349

q² = 180 + 5.0256

q² = 185.0256

q = √185.0256

q = 13.6 to the nearest integer

8 0

4 years ago

Read 2 more answers

Melissa and Emily are playing at the pool.They have three different measuring jars for; liters, cups, and pints. They find that

Deffense [45]

7 cups + 3 litres = 9.8 pints
$7c+3l=9.8p$ ⇒ Equation 1

5 litres - 9 cups = 6 pints
$5l-9c=6p$ ⇒ Equation 2

Relationship between cups and litres
Rearranging equation 1 to make pints the subject
$7c+3l=9.8p$
$p= \frac{7c+3l}{9.8}$ ⇒ substitute this into Equation 2

$5l-9c= \frac{7c+3l}{9.8}$
$49l-88.2c=7c+3l$
$49l-3l=7c+88.2c$
$46l=95.2c$
$l=2.1c$

Hence, 1 litre = 2.1 cups

Relationship between cups and pints
Rearrange equation 1 to make litres the subject
$7c+3l=9.8p$
$3l=9.8p-7c$
$l= \frac{9.8p-7c}{3}$ ⇒ Substituting this into Equation 2

$5( \frac{9.8p-7c}{3})-9c=6p$
$\frac{49p-35c}{3}-9c=6p$
$\frac{49}{3}p- \frac{35}{3}c-9c=6p$
$\frac{49p}{3}-6p= \frac{35}{3}+9c$
$\frac{31}{3}p= \frac{62}{3}c$
$p=2c$

Hence, 1 pint = 2 cups

Relationship between pints and litres
Rearranging equation 1 to make cup the subject

$7c=9.8p-3l$
$c= \frac{9.8p-3l}{7}$ ⇒ subsitute this into equation 2

$5l-9( \frac{9.8p-3l}{7})=6p$
$5l- \frac{63}{5}p+ \frac{27}{7}l=6p$
$5l+ \frac{27}{7}l=6p+ \frac{63}{5}p$
$\frac{62}{7}l= \frac{93}{5}p$
$l=2.1p$

Hence, 1 litre = 2.1 pints

7 0

4 years ago

So if g(3) = 6 and f(6) = 21, then (f ∘ g)(3) =

garri49 [273]

Answer:

Step-by-step explanation:

(fog)(3)= f( g(3) )

g(3)=6

plug back into expression

f(6)=21

thus,

(fog)(3)=21

3 0

3 years ago

Kate received $15 from her Nana on her birthday. Kate used this money to open a bank account, and added money each week as shown

AURORKA [14]

Answer:

Step-by-step explanation:

x = time in weeks

y= dollars

so once x hits 0 they corresponding y will be the y intercept.

7 0

3 years ago

Which of the following are ordered pairs for the equation y = -2x - 3?

Alexus [3.1K]

Answer:

b. (0,-3) (1,-5) (-1,-1)

Step-by-step explanation:

we only have to replace the first part of the parenthesis by x and the second part by y, and see if equality is met

y = -2x - 3

(0,-3) (-1,-4) (-1,-5)

y = -2x - 3

-3 = -2(0) -3

-3 = -3

-4 = -2(-1) - 3

-4 = 2 -3

-4 = -1

WRONG OPTION

(0,-3) (1,-5) (-1,-1)

y = -2x - 3

-3 = -2(0) -3

-3 = -3

-5 = -2(1) - 3

-5 = -2 -3

-5 = -5

-1 = -2(-1) -3

-1 = 2 -3

-1 = -1

CORRECT OPTION

(0,-3) (1,4) (-1,-5)

y = -2x - 3

-3 = -2(0) -3

-3 = -3

4 = -2(1) -3

4 = -2 -3

4 = -5

WRONG OPTION

(0,-3) (1,-4) (-1,-5)

y = -2x - 3

-3 = -2(0) -3

-3 = -3

-4 = -2(1) -3

-4 = -2 -3

-4 = -2

WRONG OPTION

5 0

3 years ago