A man is 32 years older than his son. Ten years ago he was three times as old as his son. find the present age of each?

The cost of 4 cartons of fresh cream is $5.76. What is the cost of 13 such cartons? $16.25 $18.72 $18.76 $36.04

Natasha_Volkova [10]

Answer:

A

Step-by-step explanation:

8 0

3 years ago

What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?

klemol [59]

Answer:

$(x-3)^{2} +(y-2)^{2}=41$

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(8,-2)\\E(-2,6)$

substitute the values

$d=\sqrt{(6+2)^{2}+(-2-8)^{2}}$

$d=\sqrt{(8)^{2}+(-10)^{2}}$

$d=\sqrt{164}\ units$

$d=2\sqrt{41}\ units$

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

$C=(\frac{8-2}{2},\frac{-2+6}{2})$

$C=(3,2)$

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

$(x-h)^{2} +(y-k)^{2}=r^{2}$

we have

(h,k)=(3,2)

$r=2\sqrt{41}/2=\sqrt{41}\ units$ ---> the radius is half the diameter

substitute

$(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}$

$(x-3)^{2} +(y-2)^{2}=41$

4 0

3 years ago

I need help ASAP please

Ganezh [65]

Answer:

hi

Step-by-step explanation:

6 0

3 years ago

Learning Task 1. Group the given equations into two based on observed common properties.

AnnZ [28]

Quadratic Equations in Single Variable

n²-3n+10=0

2x²+2x+1=0

25b²-16=0

f²-3f+2=0

1/3m +2m=4

a²=225

Linear Equation in single Variable

8-3k=12

5w+5=0

10u-5=8

Linear Equation in Two Variable

2y-z=9

3r+2e=6

d=3e-7

<h3>What is an equation?</h3>

It should be noted that an equation simply means the expression that's used to show the relationship between the variables.

In this case, the equation has been grouped.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Group the given equations into two based on observed common properties.

Equations

n²-3n+10=0

8-3k=12

2y-z=9

2x²+2x+1=0

25b²-16=0

3r+2e=6

5w+5=0

f²-3f+2=0

d=3e-7

1/3m +2m=4

10u-5=8

a²=225

6 0

1 year ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20%7D%7Bxy%7D%20%20%5Ctimes%20%20%5Cfrac%7B%20%7B4xy%7D%5E%

hjlf

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------\\\\
\cfrac{3x^2}{xy}\cdot \cfrac{4xy^2}{\frac{1}{y}}\implies \cfrac{3x^2}{xy}\cdot \cfrac{4xy^2}{y^{-1}}\implies \cfrac{3x^2x^1y^2}{xy^1y^{-1}}\implies \cfrac{3x^{2+1}y^2}{xy^{1-1}}
\\\\\\
\cfrac{3x^3y^2}{xy^0}\implies \cfrac{3x^3y^2}{x^1}\implies 3x^3y^2x^{-1}\implies 3x^{3-1}y^2\implies 3x^2y^2$

6 0

2 years ago

A man is 32 years older than his son. Ten years ago he was three times as old as his son. find the present age of each?​

A man is 32 years older than his son. Ten years ago he was three times as old as his son. find the present age of each?