Ask question

Ask question

All categories

2 years ago

11

a mans age is three years less than four times his age of his oldest daughter. let a represent the daughters age. write an expre

ssion to represent the mans age?

1 answer:

iogann1982 [59]2 years ago

8 0

Let's label the man's age "x" because it's the unknown value that we're trying to find. Remember that the daughter's age is represented y "a."

x = 4a-3 would be an expression to represent the man's age :)

You might be interested in

The measure of angle n is 42º. what is the measure of angle k? parallelogram k l m n where k n is parallel to l m and k l is par

Kipish [7]

Becouse k and n are 'neighbours' so their sum are 180
so k=180-42=138

7 0

2 years ago

Geometry help please

lina2011 [118]

Hello!

The equation to find the volume of a cone is

$\pi r^{2} \frac{h}{3}$

r is radius
h is height

Put in the values we know

$3.14 * 9^{2} * \frac{4}{3}$

Square the number

$3.14 * 81 * \frac{4}{3}$

multiply 81 by 3.14

$254.34 * \frac{4}{3}$

Multiply

339.12

The answer is 339.1 cubic inches

Hope this helps!

7 0

3 years ago

A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl

AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

$m=\frac{8-5}{1+5}$

$m=\frac{3}{6}$

$m_A_B=\frac{1}{2}$

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

$m=\frac{2-8}{4-1}$

$m=\frac{-6}{3}$

$m_B_C=-2$

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

$m=\frac{-2-2}{-2-4}$

$m=\frac{-4}{-6}$

$m_C_D=\frac{2}{3}$

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

$m=\frac{-2-5}{-2+5}$

$m=\frac{-7}{3}$

$m_A_D=-\frac{7}{3}$

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

$m_A_B=\frac{1}{2}$

$m_C_D=\frac{2}{3}$

so

$m_A_B \neq m_C_D$

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0

3 years ago

In the diagram, the distance from A to B is 4 inches. Find the actual distance if the scale is 1 in:6 mi

aksik [14]

1 inch = 6 miles
4 inches = ? miles

1 = 6
2 = 12
3 = 18
4 = ?

6 0

3 years ago

HELP ASAP!!!!!! WILL MARK BRAINLIEST!!!!!!!!!!!!!!!

elena-14-01-66 [18.8K]

Answer:

y and x stay constant

Step-by-step explanation:

linear equation

5 0

2 years ago