Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be
used to find c her cousin's age?

Add 4 to 17, then divide both sides by 3.

Step-by-step explanation:

Given that :

Suri's age is 4 less than 3 times her cousin's age

Suri is 17 years old

Let her cousin's age be c

Then ;

3c - 4 = 17

By adding 4 to 17; we have

3c = 17 + 4

3c = 21

Now, dividing both sides by 3 ; we have

3c/3 = 21/3

c = 7

The age of her cousin is 7 years

Algebraic equation

Step-by-step explanation:

We would use an algebraic equation.

An algebraic equation is a mathematical statement in which two expressions are made equal to each other using the equal sign.

In this case the algebraic equation consists of constant, variables and algebraic operation.

One of the type of algebraic equation is a linear equation. The expression below relating suri's age with her cousin's is a linear equation.

We can derive equations from sentences that involves unknown values by representing them with variables such as x, y, etc.

Suri's age = 17years old

Let Suri's cousin's age = x

3 times her cousin's age = 3x

Suri's age = 4 less than 3 times her cousin's age = 3x-4

17 = 3x-4

3x = 17+4 = 21

x = 21/3

x = 7

Her cousins age = 3x = 3×7

Her cousins age = 21 years

18a

step-by-step explanation:

simply because it is. it's the highest common factor

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)